{"id":2136,"date":"2022-11-09T05:24:35","date_gmt":"2022-11-09T05:24:35","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=2136"},"modified":"2022-11-09T05:24:35","modified_gmt":"2022-11-09T05:24:35","slug":"ncert-solutions-class-7-maths-chapter-12-algebraic-expressions-ex-12-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-12-algebraic-expressions-ex-12-1\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 12 Algebraic Expressions Ex 12.1"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 7 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 12 (Algebraic Expressions)<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 7 Mathematics <strong>Chapter &#8211; 12 Algebraic Expressions\u00a0 <\/strong>Exercise 12.1 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Chapter : 12 Algebraic Expressions<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-12-algebraic-expressions-ex-12-2\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 12.2<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-12-algebraic-expressions-ex-12-3\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 12.3<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-12-algebraic-expressions-ex-12-4\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 12.4<\/span><\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 12.1\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>1. Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) Subtraction of z from y.<br \/>\n(ii) One half of the sum of numbers x and y.<br \/>\n(iii) The number z multiplied by itself.<br \/>\n(iv) One-fourth of the product of numbers p and q.<br \/>\n(v) Numbers x and y both squared and added.<br \/>\n(vi) Number 5 added to three times the product of number m and n.<br \/>\n(vii) Product of numbers y and 2 subtracted from 10.<br \/>\n(viii) Sum of numbers a and b subtracted from their product.<\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) Subtraction of z from y<\/strong><\/span><br \/>\n<span style=\"color: #000000;\">\u21d2 y \u2013 z<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(ii) One half of the sum of numbers x and y<\/strong><\/span><br \/>\n<span style=\"color: #000000;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}(x+y)\" alt=\"\\frac{1}{2}(x+y)\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(iii) The number 2 multiplied by itself.<\/strong><\/span><br \/>\n<span style=\"color: #000000;\">\u21d2 z \u00d7 z = z<sup>2<\/sup><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(iv) One-fourth of the product of numbers p and q<\/strong><\/span><br \/>\n<span style=\"color: #000000;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}pq\" alt=\"\\frac{1}{4}pq\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(v) Numbers x and y both squared and added<\/strong><\/span><br \/>\n<span style=\"color: #000000;\">\u21d2 x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(vi) Number 5 added to three times the product of number m and n<\/strong><\/span><br \/>\n<span style=\"color: #000000;\">\u21d2 3mn + 5<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(vii) Product of numbers y and z subtracted from 10<\/strong><\/span><br \/>\n<span style=\"color: #000000;\">\u21d2 10 \u2013 yz<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(viii) Sum of numbers a and 6 subtracted from their product<\/strong><\/span><br \/>\n<span style=\"color: #000000;\">\u21d2 Sum = a + b, <\/span><br \/>\n<span style=\"color: #000000;\">Product = ab<\/span><br \/>\n<span style=\"color: #000000;\">\u2234 Required expression<\/span><br \/>\n<span style=\"color: #000000;\">= ab \u2013 (a + b)<\/span><br \/>\n<span style=\"color: #000000;\">= ab \u2013 a- b<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>2. (i) Identify the terms and their factors in the following expressions<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>Show the terms and factors by tree diagrams.<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(a) x \u2013 3<br \/>\n(b) 1 + x + x<sup>2<\/sup><br \/>\n(c) y \u2013 y<sup>3<\/sup><br \/>\n(d) 5xy<sup>2<\/sup>\u00a0+ 7x<sup>2<\/sup>y<br \/>\n(e) -ab + 2b<sup>2<\/sup>\u00a0\u2013 3a<sup>2<\/sup><br \/>\n<\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n(a) x \u2013 3<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2148\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-12.1-Q2a.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"313\" height=\"129\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-12.1-Q2a.png 313w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-12.1-Q2a-300x124.png 300w\" sizes=\"auto, (max-width: 313px) 100vw, 313px\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) 1 + x + x<sup>2<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2149\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-12.1-Q2b.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"286\" height=\"128\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) y \u2013 y<sup>3<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2147\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-12.1-Q2c.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"284\" height=\"137\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) 5xy<sup>2<\/sup>\u00a0+ 7x<sup>2<\/sup>y<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2145\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-12.1-Q2d.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"282\" height=\"144\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(e) \u2013 ab + 2b<sup>2<\/sup>\u00a0\u2013 3a<sup>2<\/sup><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2146\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-12.1-Q2e.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"282\" height=\"133\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii) Identify terms and factors in the expressions given below:<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(a) \u2013 4x + 5<br \/>\n(b) \u2013 4x + 5y<br \/>\n(c) 5y + 3y<sup>2<\/sup><br \/>\n(d) xy + 2x<sup>2<\/sup>y<sup>2<br \/>\n<\/sup><\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(e) pq + q<br \/>\n(f) 1.2 ab \u2013 2.4 b + 3.6 a<br \/>\n(g) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{3}{4}}\" align=\"absmiddle\" \/>x + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{1}{4}}\" align=\"absmiddle\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(h) 0.1 p<sup>2<\/sup>\u00a0+ 0.2 q<sup>2<\/sup><\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Solution &#8211; <\/strong><\/span><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\" style=\"width: 60%;\">\n<tbody>\n<tr>\n<td style=\"width: 16.338%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Sl. No.<\/strong><\/span><\/td>\n<td style=\"width: 42.2535%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Expression<\/strong><\/span><\/td>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Terms<\/strong><\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Factors<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.338%;\" rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)<\/strong><\/span><\/td>\n<td style=\"width: 42.2535%;\" rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2013 4x + 5<\/span><\/td>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">-4x<\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">-4 and x<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000;\">5<\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">5<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.338%;\" rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)<\/strong><\/span><\/td>\n<td style=\"width: 42.2535%;\" rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2013 4x + 5y<\/span><\/td>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">-4x<\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">-4 and x<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000;\">5y<\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">5 and y<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.338%;\" rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c)<\/strong><\/span><\/td>\n<td style=\"width: 42.2535%;\" rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">5y + 3y<sup>2<\/sup><\/span><\/td>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">5y<\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">5 and y<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">3y<sup>2<\/sup><\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000;\">3, y and y<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.338%;\" rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d)<\/strong><\/span><\/td>\n<td style=\"width: 42.2535%;\" rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">xy + 2x<sup>2<\/sup>y<sup>2<\/sup><\/span><\/td>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">xy<\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x and y<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">2x<sup>2<\/sup>y<sup>2<\/sup><\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">2, x, x, y and y<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.338%;\" rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(e)<\/strong><\/span><\/td>\n<td style=\"width: 42.2535%;\" rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">pq + q<\/span><\/td>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">pq<\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">p and q<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">q<\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000;\">q<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.338%;\" rowspan=\"3\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(f)<\/strong><\/span><\/td>\n<td style=\"width: 42.2535%;\" rowspan=\"3\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1.2 ab \u2013 2.4 b + 3.6 a<\/span><\/td>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1.2ab<\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1.2, a and b<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">-2.4b<\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">-2.4 and b<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">3.6a<\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">3.6 and a<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.338%;\" rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(g)<\/strong><\/span><\/td>\n<td style=\"width: 42.2535%;\" rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}\" alt=\"\\frac{3}{4}\" align=\"absmiddle\" \/> x + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\" alt=\"\\frac{1}{4}\" align=\"absmiddle\" \/><\/span><\/td>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}\" alt=\"\\frac{3}{4}\" align=\"absmiddle\" \/> x<\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}\" alt=\"\\frac{3}{4}\" align=\"absmiddle\" \/> and x<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\" alt=\"\\frac{1}{4}\" align=\"absmiddle\" \/><\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\" alt=\"\\frac{1}{4}\" align=\"absmiddle\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.338%;\" rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(h)<\/strong><\/span><\/td>\n<td style=\"width: 42.2535%;\" rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0.1 p<sup>2<\/sup>\u00a0+ 0.2 q<sup>2<\/sup><\/span><\/td>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0.1p<sup>2<\/sup><\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0.1, p and p<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 16.0563%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0.2q<sup>2<\/sup><\/span><\/td>\n<td style=\"width: 21.9718%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0.2, q and q<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>3. Identify the numerical coefficients of terms (other than constants) in the following expressions:<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) 5 \u2013 3t<sup>2<\/sup><br \/>\n(ii) 1 + t + t<sup>2<\/sup>\u00a0+ t<sup>3<\/sup><br \/>\n(iii) x + 2xy + 3y<br \/>\n(iv) 100m + 1000n<br \/>\n(v) \u2013 p<sup>2<\/sup>q<sup>2<\/sup>\u00a0+ 7pq<br \/>\n(vi) 1.2 a + 0.8 b<br \/>\n(vii) 3.14 r<sup>2<\/sup><br \/>\n(viii) 2 (l + b)<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(ix) 0.1 y + 0.01 y<sup>2<\/sup><\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\" style=\"width: 60%;\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Sl.No.<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Expression<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Terms<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Coefficients<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i)<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">5 \u2013 3t<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2013 3t<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">-3<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"4\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong><\/span><\/td>\n<td rowspan=\"4\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1 + t + t<sup>2<\/sup>\u00a0+ t<sup>3<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">t<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">t<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">t<sup>3<\/sup><\/span><\/td>\n<td rowspan=\"2\"><span style=\"color: #000000;\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"3\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii)<\/strong><\/span><\/td>\n<td rowspan=\"3\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x + 2xy + 3y<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">2xy<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">3y<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv)<\/strong><\/span><\/td>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">100m + 1000n<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">100m<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">100<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1000n<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1000<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(v)<\/strong><\/span><\/td>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2013 p<sup>2<\/sup>q<sup>2<\/sup>\u00a0+ 7pq<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">-p<sup>2<\/sup>q<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">-1<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">7pq<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">7<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vi)<\/strong><\/span><\/td>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1.2 a + 0.8 b<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1.2a<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1.2<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0.8b<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0.8<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vii)<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">3.14 r<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">3.14<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">3.14<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(viii)<\/strong><\/span><\/td>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">2 (l + b)<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">2l<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">2b<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ix)<\/strong><\/span><\/td>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0.1 y + 0.01 y<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0.1y<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0.1<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0.01y<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0.01<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>4. (a) Identify terms which contain x and give the coefficient of x.<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) y<sup>2<\/sup>x + y<br \/>\n(ii) 13y<sup>2<\/sup>\u00a0\u2013 8yx<br \/>\n(iii) x + y + 2<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(iv) 5 + z + zx<br \/>\n(v) 1 + x + xy<br \/>\n(vi) 12xy<sup>2<\/sup>\u00a0+ 25<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(vii) 7x + xy<sup>2<\/sup><\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\" style=\"width: 60%;\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Sl.No.<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Expression<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Terms<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Coefficient of x<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i)<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">y<sup>2<\/sup>x + y<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">y<sup>2<\/sup>x<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">y<sup>2<\/sup><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">13y<sup>2<\/sup>\u00a0\u2013 8yx<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2013 8yx<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">-8y<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii)<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x + y + 2<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv)<\/strong><\/span><\/td>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">5 + z + zx<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">zx<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">z<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(v)<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1 + x + xy<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">xy<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">y<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vi)<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">12xy<sup>2<\/sup>\u00a0+ 25<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">12xy<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">12y<sup>2<\/sup><\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vii)<\/strong><\/span><\/td>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">7x + xy<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">7x<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">7<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">xy<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">y<sup>2<\/sup><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(b) Identify terms which contain y<sup>2<\/sup>\u00a0and give the coefficient of y<sup>2<\/sup>.<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) 8 \u2013 xy<sup>2<\/sup><br \/>\n(ii) 5y<sup>2<\/sup>\u00a0+ 7x<br \/>\n(iii) 2x<sup>2<\/sup>y \u2013 15xy<sup>2<\/sup>\u00a0+ 7y<sup>2<\/sup><\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Sl.No.<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Expression<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Terms<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Coefficient of\u00a0y<sup>2<\/sup><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i)<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">8 \u2013 xy<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2013 xy<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2013 x<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">5y<sup>2<\/sup>\u00a0+ 7x<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">5y<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">5<\/span><\/td>\n<\/tr>\n<tr>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii)<\/strong><\/span><\/td>\n<td rowspan=\"2\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">2x<sup>2<\/sup>y \u2013 15xy<sup>2<\/sup>\u00a0+ 7y<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2013 15xy<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2013 15x<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">7y<sup>2<\/sup><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">7<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>5. Classify into monomials, binomials and trinomials.<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) 4y \u2013 7x<br \/>\n(ii) y<sup>2<\/sup><br \/>\n(iii) x + y \u2013 xy<br \/>\n(iv) 100<br \/>\n(v) ab \u2013 a \u2013 b<br \/>\n(vi) 5 \u2013 3t<br \/>\n(vii) 4p<sup>2<\/sup>q \u2013 4pq<sup>2<\/sup><br \/>\n(viii) 7mn<br \/>\n(ix) z<sup>2<\/sup>\u00a0\u2013 3z + 8<br \/>\n(x) a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup><br \/>\n(xi) z<sup>2<\/sup>\u00a0+ z<br \/>\n(xii) 1 + x + x<sup>2<\/sup><\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">(i) 4y \u2013 7x<br \/>\n<\/span><\/strong><span style=\"font-family: georgia, palatino, serif;\">Binomial &#8211; <\/span><span style=\"font-family: georgia, palatino, serif;\">An expression which contains two unlike terms is called a binomial.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii) y<sup>2<br \/>\n<\/sup><\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Monomial &#8211; <\/span><span style=\"font-family: georgia, palatino, serif;\">An expression with only one term is called a monomial.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii) x + y \u2013 xy<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Trinomial &#8211;\u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">An expression which contains three terms is called a trinomial.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iv) 100<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Monomial &#8211;\u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">An expression with only one term is called a monomial.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(v) ab \u2013 a \u2013 b<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Trinomial &#8211;\u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">An expression which contains three terms is called a trinomial.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(vi) 5 \u2013 3t<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Binomial &#8211;\u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">An expression which contains two unlike terms is called a binomial.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(vii) 4p<sup>2<\/sup>q \u2013 4pq<sup>2<br \/>\n<\/sup><\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Binomial &#8211;\u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">An expression which contains two unlike terms is called a binomial.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(viii) 7mn<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Monomial &#8211;\u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">An expression with only one term is called a monomial.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(ix) z<sup>2<\/sup> \u2013 3z + 8<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Trinomial-\u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">An expression which contains three terms is called a trinomial.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(x) a<sup>2<\/sup>\u00a0+ b<sup>2<br \/>\n<\/sup><\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Binomial &#8211;\u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">An expression which contains two unlike terms is called a binomial.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(xi) z<sup>2<\/sup> + z<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Binomial &#8211;\u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">An expression which contains two unlike terms is called a binomial.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(xii) 1 + x + x<sup>2<br \/>\n<\/sup><\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Trinomial &#8211;\u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">An expression which contains three terms is called a trinomial.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>6. State whether a given pair of terms is of like or unlike terms.<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) 1, 100<br \/>\n(ii) -7x, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{2}}\" alt=\"\\mathbf{\\frac{5}{2}}\" align=\"absmiddle\" \/>x<br \/>\n(iii) -29x, -29y<br \/>\n(iv) 14xy, 42yx<br \/>\n(v) 4m<sup>2<\/sup>p, 4mp<sup>2<\/sup><br \/>\n(vi) 12xz, 12 x<sup>2<\/sup>y<sup>2<\/sup><br \/>\n<\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) 1, 100<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Like term &#8211; <\/span><span style=\"font-family: georgia, palatino, serif;\">When term have the same algebraic factors, they are like terms.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii) -7x, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{2}}\" alt=\"\\mathbf{\\frac{5}{2}}\" align=\"absmiddle\" \/>x<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Like term &#8211; <\/span><span style=\"font-family: georgia, palatino, serif;\">When term have the same algebraic factors, they are like terms.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii) \u2013 29x, \u2013 29y<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Unlike terms &#8211;\u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">The terms have different algebraic factors, they are unlike terms.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iv) 14xy, 42yx<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Like term &#8211;\u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">When term have the same algebraic factors, they are like terms.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(v) 4m<sup>2<\/sup>p, 4mp<sup>2<br \/>\n<\/sup><\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Unlike terms &#8211;\u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">The terms have different algebraic factors, they are unlike terms.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(vi) 12xz, 12x<sup>2<\/sup>z<sup>2<br \/>\n<\/sup><\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Unlike terms &#8211;\u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">The terms have different algebraic factors, they are unlike terms.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>7. Identify like terms in the following:<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(a)-xy<sup>2<\/sup>, -4yx<sup>2<\/sup>, 8x<sup>2<\/sup>, 2xy<sup>2<\/sup>, 7y<sup>2<\/sup>, -11x<sup>2<\/sup>, -100x, -11yx, 20x<sup>2<\/sup>y, -6x<sup>2<\/sup>, y, 2xy, 3x<br \/>\n(b) 10pq, 7p, 8q, -p<sup>2<\/sup>q<sup>2<\/sup>, -7qp, -100q, -23, 12q<sup>2<\/sup>p<sup>2<\/sup>, -5p<sup>2<\/sup>, 41, 2405p, 78qp, 13p<sup>2<\/sup>q, qp<sup>2<\/sup>, 701p<sup>2<\/sup><\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(a) -xy<sup>2<\/sup>, -4yx<sup>2<\/sup>, 8x<sup>2<\/sup>, 2xy<sup>2<\/sup>, 7y<sup>2<\/sup>, -11x<sup>2<\/sup>, -100x, -11yx, 20x<sup>2<\/sup>y, -6x<sup>2<\/sup>, y, 2xy, 3x<br \/>\n<\/strong><\/span>Like terms are:<\/span><br \/>\n<span style=\"color: #000000;\">(i) -xy<sup>2<\/sup>, 2xy<sup>2<\/sup><\/span><br \/>\n<span style=\"color: #000000;\">(ii) -4yx<sup>2<\/sup>, 20x<sup>2<\/sup>y<\/span><br \/>\n<span style=\"color: #000000;\">(iii) 8x<sup>2<\/sup>, -11x<sup>2<\/sup>, -6x<sup>2<\/sup><\/span><br \/>\n<span style=\"color: #000000;\">(iv) 7y, y<\/span><br \/>\n<span style=\"color: #000000;\">(v) -100x, 3x<\/span><br \/>\n<span style=\"color: #000000;\">(vi) -11yx, 2xy<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) 10pq, 7p, 8q, -p<sup>2<\/sup>q<sup>2<\/sup>, -7qp, -100q, -23, 12q<sup>2<\/sup>p<sup>2<\/sup>, -5p<sup>2<\/sup>, 41, 2405p, 78qp, 13p<sup>2<\/sup>q, qp<sup>2<\/sup>, 701p<sup>2<\/sup><\/strong><\/span><br \/>\n<span style=\"color: #000000;\">Like terms are:<\/span><br \/>\n<span style=\"color: #000000;\">(i) 10pq, \u2013 7qp, 78qp<\/span><br \/>\n<span style=\"color: #000000;\">(ii) 7p, 2405p<\/span><br \/>\n<span style=\"color: #000000;\">(iii) 8q, -100q<br \/>\n<\/span><span style=\"color: #000000;\">(iv) -p<sup>2<\/sup>q<sup>2<\/sup>, 12 q<sup>2<\/sup>p<sup>2<\/sup><\/span><br \/>\n<span style=\"color: #000000;\">(v) -23, 41<\/span><br \/>\n<span style=\"color: #000000;\">(vi) -5p<sup>2<\/sup>, 701p<sup>2<\/sup><\/span><br \/>\n<span style=\"color: #000000;\">(vii) 13p<sup>2<\/sup>q, qp<sup>2<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\">\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 7 Mathematics\u00a0 Chapter &#8211; 12 (Algebraic Expressions) The NCERT Solutions in English Language for Class 7 Mathematics Chapter &#8211; 12 Algebraic Expressions\u00a0 Exercise 12.1 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter : 12 Algebraic Expressions NCERT Solution Class 7 Maths Exercise &#8211; 12.2 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[219],"tags":[343,344,283,5],"class_list":["post-2136","post","type-post","status-publish","format-standard","hentry","category-class-7-maths","tag-ncert-class-7-maths-chapter-12-algebraic-expressions-in-english","tag-ncert-solutions-class-7-maths-chapter-12-in-english","tag-ncert-solutions-class-7-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.4) - 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