{"id":26869,"date":"2021-06-28T18:28:19","date_gmt":"2021-06-28T12:58:19","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=26869"},"modified":"2022-03-02T10:47:26","modified_gmt":"2022-03-02T05:17:26","slug":"ncert-solutions-for-class-7-maths-chapter-12-ex-12-3","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-7-maths-chapter-12-ex-12-3\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Ex 12.3"},"content":{"rendered":"

These NCERT Solutions for Class 7 Maths<\/a> Chapter 12 Algebraic Expressions Ex 12.3 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Exercise 12.3<\/h2>\n

Question 1.
\nIf m – 2, find the value of:
\n(i) m – 2
\n(ii) 3m – 5
\n(iii) 9 – 5m
\n(iv) 3m2<\/sup> – 2m – 7
\n(v) \\(\\frac { 5m }{ 2 }\\) – 4
\nAnswer:
\n(i) m- 2 = 2 – 2 (m = = 2)
\n= 0<\/p>\n

\"NCERT<\/p>\n

(ii) 3m – 5 = 3 (2) – 5 (m = – 2)
\n= 6 – 5 = 1<\/p>\n

(iii) 9 – 5m = 9 – 5(2) (m = = 2)
\n= 9- 10
\n= -1<\/p>\n

(iv) 3m2<\/sup> – 2m – 7
\n= 3 (2)2<\/sup> – 2(2) – 7
\n(m = 2)
\n= 3 (4) – 4 – 7
\n= 12 – 4 – 7
\n= 12 – 11
\n= 1<\/p>\n

(v) \\(\\frac { 5m }{ 2 }\\) – 4 = \\(\\frac{5(2)}{2}\\) – 4 (m = 2)
\n= 5 – 4
\n= 1<\/p>\n

Question 2.
\nIf p = -2, find the value of:
\n(i) 4p + 7
\n(ii) – 3p2<\/sup> + 4p + 7
\n(iii) – 2p2<\/sup> – 3p2<\/sup> + 4p + 7
\nAnswer:
\n(i) 4p + 7 = 4(-2) + 7
\n= – 8 + 7 = -1<\/p>\n

\"NCERT<\/p>\n

(ii) -3p2<\/sup> + 4p + 7
\n= – 3 (-2)2<\/sup> + 4(-2) + 7
\n(when p = -2)
\n= – 3 (4) + (- 8) + 7
\n= -12 – 8 + 7
\n= -20 +7
\n= -13<\/p>\n

(iii) -2p3<\/sup> – 3p2<\/sup> + 4p + 7 =
\n-2 (-2)3<\/sup> – 3 (-2)2<\/sup> + 4 (-2) + 7
\n(when p = -2)
\n= – 2(- 8) \u2014 3 (4) + (\u2014 8) + 7 = + 16 – 12 – 8 + 7 = 23 – 20 = 3<\/p>\n

Question 3.
\nFind the value of the following expressions, when x = -1:
\n(i) 2x – 7
\n(ii) -x + 2
\n(iii) x2<\/sup> + 2x + 1
\n(iv) 2x2<\/sup> – x -2
\nAnswer:
\n(i) 2x – 7 = 2(-1) – 7 (whenx = -1)
\n= -2 – 7 = -9<\/p>\n

(ii) -x + 2 = -(-1) + 2 (When x = -1)
\n= 1 + 2 = 3<\/p>\n

(iii) x2<\/sup> + 2x + 1 = (-1)2<\/sup> + 2 (-1) + 1
\n(When x = – 1)
\n= 1 – 2 + 1
\n= 2 – 2 = 0<\/p>\n

\"NCERT<\/p>\n

(iv) 2x2<\/sup> – x – 2 =2 (-1)2<\/sup> – (-1) – 2
\n(When x = -1)
\n= 2 + 1 – 2
\n= 3 – 2 = 1<\/p>\n

Question 4.
\nIf a = 2, b = – 2, find the value of:
\n(i) a2<\/sup> + b2<\/sup>
\n(ii) a2<\/sup> + ab + b2<\/sup>
\n(iii) a2<\/sup> – b2<\/sup>
\nAnswer:
\n(i) a2<\/sup> + b2<\/sup> = (2)2<\/sup> + (-2)2<\/sup>
\n(When a = 2, b = -2)
\n= 4 + 4 = 8<\/p>\n

(ii) a2<\/sup> + ab + b2<\/sup>
\n= (2)2<\/sup> + 2(-2) + (-2)2<\/sup>
\n(When a = 2, b = – 2)
\n= 4 – 4 + 4
\n= 8 – 4 = 4<\/p>\n

(iii) a2 – b2 = 22 – (-2)2
\n(When a = 2, b = -2) = 4-(4) = 4- 4 = 0<\/p>\n

Question 5.
\nWhen a = 0, b = – 1, find the value of the given expressions:
\n(i) 2a + 2b
\n(ii) 2a2<\/sup> + b2<\/sup> + 1
\n(iii) 2a2<\/sup>b + 2ab2<\/sup> + ab
\n(iv) a2<\/sup> + ab + 2
\nAnswer:
\n(i) 2a + 2b = 2 (0) + 2(\u20141)
\n(When a = 0, b = -1)
\n= 0 – 2 = -2<\/p>\n

(ii) 2a2<\/sup> + b2<\/sup> +1
\n= 2 (0)2<\/sup> + (-1)2<\/sup> + 1
\n(When a = 0, b = -1)
\n= 0 + (1) + (1)
\n= 1 + 1 = 2<\/p>\n

\"NCERT<\/p>\n

(iii) 2a2<\/sup>b + 2ab2<\/sup> + ab
\n= 2(0)2<\/sup> (-1) + 2(0) (-1)2<\/sup> + (0) (-1)
\n(When a = 0, b = -1)
\n= 2(0) (-1) + 2(0) (1) + 0
\n= 0 + 0 + 0
\n= 0<\/p>\n

(iv) a2<\/sup> + ab + 2 = (0)2<\/sup> + 0 (-1) + 2
\n(When a = 0, b = -1)
\n= 0 – 0 + 2 = 2<\/p>\n

Question 6.
\nSimplify the expressions and find the value if x is equal to 2.
\n(i) x + 7 + 4 (x – 5)
\n(ii) 3 (x + 2) + 5x – 7
\n(iii) 6x + 5 (x – 2)
\n(iv) 4(2x – l) + 3x+ 11
\nAnswer:
\n(i) x + 7 + 4 (x -5)
\n= x + 7 + 4x – 20
\n= x + 4x + 7 – 20
\n= 5x – 13 (When x = 2)
\n= 5 (2) – 13
\n= 10- 13
\n= -3<\/p>\n

\"NCERT<\/p>\n

(ii) 3 (x + 2) + 5x – 7 = 3x + 6 + 5x – 7
\n= 3x + 5x + 6 – 7
\n= 8x – 1 (When x = 2)
\n= 16 – 1 = 15<\/p>\n

(iii) 6x + 5 (x – 2) = 6x + 5x – 10
\n= 1 lx – 10 (When x = 2)
\n= 11 (2) – 10 = 22-
\n= 12<\/p>\n

(iv) 4(2x – 1)+ 3x + 11
\n= 8x + 3x – 4 + 11
\n= 8x + 3x + 11 – 4
\n= 11x + 7 (When x = 2)
\nh = 11(2) + 7
\n= 22 + 7 = 29<\/p>\n

Question 7.
\nSimplify these expressions and find their values if x = 3, a = -1, b = -2.
\n(i) 3x – 5 – x + 9
\n(ii) 2 – 8x + 4x + 4
\n(iii) 3a + 5 – 8a + 1
\n(iv) 10 – 3b – 4 – 5b
\n(v) 2a – 2b – 4 – 5 + a
\nAnswer:
\n(i) 3x-5-x + 9
\n= 3x-x-5 + 9
\n= 2x + 4 (When x = 3)
\n= 2(3)+ 4
\n= 6 + 4
\n= 10<\/p>\n

(ii) 2-8x + 4x + 4
\n= -8x + 4x + 4 + 2
\n= (- 8 + 4) x + 6
\n= – 4x + 6
\n(When x = 3)
\n= – 4(3) + 6
\n= -12+ 6 =-6<\/p>\n

\"NCERT<\/p>\n

(iii) 3a + 5 – 8a + 1
\n= 3a – 8a + 5 + 1
\n= (3 – 8) a + 6
\n= -5a + 6
\n(When a = – 1)
\n= -5 (-1) + 6
\n= 5 + 6= 11<\/p>\n

(iv) 10 – 3b – 4 – 5b = -3b -5b +10-4
\n= (-3 -5) b + 6 = – 8 b + 6
\n(When b = – 2) = – 8 (-2) + 6
\n= 16 + 6 = 22<\/p>\n

(v) 2a – 2b – 4 – 5 + a =
\n2a + a – 2b – 4 -5 = 3a – 2b – 9
\n(When a = – 1 and b = -2) = 3 (-1) -2 (-2) -9 = -3 + 4 -9 = -12+ 4 =-8<\/p>\n

Question 8.
\n(i) If z = 10, find the value of z3<\/sup> – 3 (z – 10).
\n(ii) If p = – 10, find the value of p2<\/sup> – 2p – 100
\nAnswer:
\n(i) z3<\/sup> – 3 [z – 10] = 102<\/sup> – 3 [10- 10]
\n(When z = 10)
\n= 1000 – 3 (0)= 1000<\/p>\n

(ii) p2<\/sup> – 2p – 100
\n= (-10)2<\/sup> – 2 (-10) – 100
\n(When p = -10)
\n= 100 + 20 – 100
\n= 120 – 100 = 20<\/p>\n

\"NCERT<\/p>\n

Question 9.
\nWhat should be the value of a if the value of 2x2<\/sup> + x – a equals to 5, when x = 0? Ans: 2x2<\/sup>+ x – a = 5 (Given: x = 0)
\n2(0)2<\/sup> + 0 – a = 5
\n0 + 0 – a = 5
\n-a =5
\na = – 5
\nThe value of a = – 5<\/p>\n

Question 10.
\nSimplify the expression and find its value when a = 5 and b = – 3.
\n2(a2<\/sup> + ab) + 3 – ab
\nAnswer:
\n2(a2<\/sup> + ab) + 3 – ab
\n= 2 [52<\/sup> + 5(-3)] + 3 -(5) (-3)
\n= 2 [25- 15] +3 + 15
\n= 2(10) + 18
\n= 20 + 18 = 38<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Ex 12.3 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Exercise 12.3 Question 1. If m – 2, find the value of: (i) m – 2 (ii) 3m – 5 (iii) …<\/p>\n

NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Ex 12.3<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[9],"tags":[],"yoast_head":"\nNCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Ex 12.3 - MCQ Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-7-maths-chapter-12-ex-12-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Ex 12.3 - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Ex 12.3 Questions and Answers are prepared by our highly skilled subject experts. 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