{"id":11053,"date":"2021-04-20T16:26:45","date_gmt":"2021-04-20T10:56:45","guid":{"rendered":"https:\/\/apboardsolutions.guru\/?p=11053"},"modified":"2021-09-15T11:33:33","modified_gmt":"2021-09-15T06:03:33","slug":"ap-board-7th-class-maths-solutions-chapter-10-intext-questions","status":"publish","type":"post","link":"https:\/\/apboardsolutions.guru\/ap-board-7th-class-maths-solutions-chapter-10-intext-questions\/","title":{"rendered":"AP Board 7th Class Maths Solutions Chapter 10 Algebraic Expressions InText Questions"},"content":{"rendered":"

AP State Syllabus\u00a0AP Board 7th Class Maths Solutions<\/a> Chapter 10 Algebraic Expressions InText Questions and Answers.<\/p>\n

AP State Syllabus 7th Class Maths Solutions 10th Lesson Algebraic Expressions InText Questions<\/h2>\n

\"AP<\/p>\n

Question 1.
\nIn the expressions given below identify all the terms. (Page No. 194)
\ni) 5x2<\/sup> + 3y + 7
\nii) 5x2<\/sup>y + 3
\niii) 3x2<\/sup>y
\niv) 5x – 7
\nv) 5x + 8 – 2(-y)
\nvi) 7x2<\/sup> – 2x
\nSolution:
\ni) 5x2<\/sup> + 3y + 7 is a trinomial
\nii) 5x2<\/sup>y + 3 is a binomial
\niii) 3x2<\/sup>y is a monomial
\niv)\u00a0 5x – 7 is a binomial
\nv) 5x + 8 – 2 (-y) is a trinomial
\nvi) 7x2<\/sup> – 2x is a binomial<\/p>\n

Question 2.
\nWrite the following expressions in statements. (Page No. 195)
\n12x, 12, 25x, -25, 25y, 1, x, 12y, y, 25xy, 5x2<\/sup>y, 7xy2<\/sup>, 2xy, 3xy2<\/sup>, 4x2<\/sup>y.
\nSolution:
\nLike terms Groups \u2192 {12x, 25x, x}
\n\u2192 {-25, 12, 1}
\n\u2192 {25y, 12y, 1}
\n\u2192 {25xy, 2xy}
\n\u2192 {5x2<\/sup>y,4x2<\/sup>y}
\n\u2192 {7xy2<\/sup>, 3xy2<\/sup>}<\/p>\n

\"AP<\/p>\n

Try This\u00a0<\/span><\/p>\n

Question 1.
\ni) What is the numerical coefficient of ‘x’ ? (Page No. 195)
\nSolution:
\nThe numerical coefficient of ‘x’ is 1.<\/p>\n

ii) What is the numerical coefficient of -‘y’ ?
\nSolution:
\nThe numerical coefficient of -y is -1.<\/p>\n

iii) What is the literal coefficient of ‘-3z’ ?
\nSolution:
\nz.<\/p>\n

iv) Is a numerical coefficient a constant ?
\nSolution:
\nYes.<\/p>\n

v) Is a literal coefficient always a variable ?
\nSolution:
\nYes.<\/p>\n

Question 2.
\nWrite 3 algebraic expressions with 3 terms each. (Page No. 196)
\nSolution:
\ni) ax2<\/sup> + bx + c
\nii) px + qy + rz
\niii) x2<\/sup> + y2<\/sup> + z2<\/sup><\/p>\n

\"AP<\/p>\n

Do This<\/span><\/p>\n

Question 1.
\nState true or false and give reasons for your answer. (Page No. 195)
\ni) 7x2<\/sup> and 2x are unlike terms.
\nii) pq2<\/sup> and – 4pq2<\/sup> are like terms.
\niii) xy, – 12x2<\/sup>y and 5xy2<\/sup> are like terms.
\nSolution:
\ni) 7x2<\/sup> and 2x are unlike terms is true. Since the power of the variable x is not same in both the terms.
\nii) pq2<\/sup> and – 4pq2<\/sup> are like terms is true. Since both the terms are having same variables and same exponents.
\niii) xy, -12x2<\/sup>y and 5xy2<\/sup> are like terms is false. Since all the terms are not contains same exponents.<\/p>\n

Question 2.
\nHow many terms are there in each of the following expressions ?
\ni) x + y
\nii) 11x – 3y – 5,
\niii) 6 x2<\/sup> + 5x – 4
\niv) x2<\/sup>z + 3
\nv) 5x2<\/sup>y
\nvi) x + 3 + y
\nvii) x – \\(\\frac{11}{3}\\)
\nviii) \\(\\frac{3 x}{7 y}\\)
\nix) 2z – y
\nx) 3x + 5 (Page No. 196)
\nSolution:
\nOne term – (v) 5x2<\/sup>y, viii) \\(\\frac{3 x}{7 y}\\)
\nTwo terms –\u00a0 (i) x + y , (iv) x2<\/sup>z + 3, (vii) x – \\(\\frac{11}{3}\\), (ix) 2z – y (x) 3x + 5
\nThree terms – (ii) 11x – 3y – 5, (iii) 6x2<\/sup> + 5x – 4, (vi) x + 3 + y<\/p>\n

\"AP<\/p>\n

Question 3.
\nGive two examples for each type of algebraic expression. ( Page No. 197)
\nSolution:
\nMonomial : i) 5x2<\/sup>y, ii) \\(\\frac{3}{2}\\) xyz
\nBinomial :i) ax + by, ii) 2z – 5
\nTrinomial : i) ax + by + cz, ii) p2<\/sup> + q2<\/sup> + r2
\n<\/sup>Polynomial: i) 5x4<\/sup> – 2x2<\/sup> + x – 1, ii) 6 + 5x – 4x2<\/sup> + 3y3<\/sup> – 2z4<\/sup><\/p>\n

Question 4.
\nIdentify the expressions given below as monomial, binomial, trinomial, and multinomial. (Page No. 197)
\ni) 5x2<\/sup> + y + 6
\nii) 3xy
\niii) 5x2<\/sup>y + 6x
\niv) a + 4x – xy + xyz
\nSolution:
\ni) 5x2<\/sup> + y + 6\u00a0\u00a0\u00a0\u00a0 \u2192\u00a0 is a trinomial.
\nii) 3xy \u2192 is a monomial.
\niii) 5x2<\/sup>y + 6x \u2192\u00a0 is a binomial.
\niv) a + 4x – xy + xyz \u2192\u00a0 is a multinomial.<\/p>\n

\"AP<\/p>\n

Question 5.
\nFind the sum of the like terms. (Page No. 200)
\ni) 5x, 7x
\nii) 7x2<\/sup>y, -6x2<\/sup>y
\niii) 2m, 11m
\niv) 18ab, 5ab, 12ab
\nv) 3x2<\/sup>, -7x2<\/sup>, 8x2
\n<\/sup>vi) 4m2<\/sup>, 3m2<\/sup>, -6m2<\/sup>, m2
\n<\/sup>Solution:
\ni) 5x + 7x = 12x<\/p>\n

ii) 7x2<\/sup>y + (-6x2<\/sup>y) = (7 – 6) x2<\/sup>y = x2<\/sup>y<\/p>\n

iii) 2m + 11m = (2 + 11)m = 13m
\niv) 18ab + 5ab + 12ab = (18 + 5 + 12) ab
\n= 35ab<\/p>\n

v) 3x + (-7x) + 8x\u00a0 = (3 – 7 + 8) x2
\n<\/sup>= (11 – 7) x2
\n<\/sup>= 4x2<\/sup><\/p>\n

vi) 4m” + 3m2 <\/sup>+(-6m2<\/sup>) + m2<\/sup> = (4 + 3 – 6 + 1) m2
\n<\/sup>= (8 – 6) m2
\n<\/sup>= 2m2<\/sup><\/p>\n

vii) 18pq + (-15 pq) + 3pq = (18 -15 + 3) pq
\n= (21 – 15) pq
\n= 6pq<\/p>\n

Question 6.
\nSubtract the first term from the second term. (Page No. 200)
\ni) 2xy, 7xy
\nii) 5a2<\/sup>, 10a2<\/sup>
\niii) 12y, 3y
\niv) 6x2<\/sup>y, 4x2<\/sup>y
\nv) 6xy, -12xy
\nSolution:
\ni) 2xy, 7xy
\n7xy – 2xy = (7 – 2) xy = 5xy
\nii) 5a2<\/sup>, 10a2
\n<\/sup>10a -5a = (10-5) a2 <\/sup>= 5a2<\/sup><\/p>\n

iii)\u00a0 12y, 3y
\n3y – 12y = (3 – 12)y = -9y<\/p>\n

iv) 6x2<\/sup>y, 4x2<\/sup>y
\n4x2<\/sup>y – 6x2<\/sup>y = (4 – 6) x2<\/sup>y = -2x2<\/sup>y<\/p>\n

v) 6xy,-12xy
\n(-12xy) – 6xy = (-12 – 6) xy = -18xy<\/p>\n

\"AP<\/p>\n

Question 7.
\nSimplify the following. (Page No. 201)
\ni) 3m + 12m -5m
\nii) 25yz – 8yz – 6yz
\niii) 10m2<\/sup> – 9m + 7m – 3m2
\n<\/sup>iv) 9x2<\/sup> – 6 + 4x + 11 – 6x2<\/sup> – 2x + 3x2<\/sup> – 2
\nv) 3a2<\/sup> – 4a2<\/sup>b + 7a2<\/sup> – b2<\/sup> – ab
\nvi) 5x2<\/sup> + 10 + 6x + 4 + 5x + 3x2<\/sup> + 8
\nSolution:
\ni) 3m + 12m -5m =(3+12-5)m
\n= (15 – 5) m
\n= 10m<\/p>\n

ii) 25yz – 8yz – 6yz = (25 – 8 – 6) yz
\n= (25 – 14) yz
\n= 11 yz<\/p>\n

iii) 10m2<\/sup> – 9m + 7m – 3m2<\/sup> – 5m – 8 = (10m2<\/sup> – 3m2<\/sup>) + (-9m + 7m – 5m) – 8
\n= (10 – 3)m2<\/sup> + (-9 + 7 – 5) m – 8
\n= 7m2<\/sup> + (-7m) – 8
\n= 7m2<\/sup> – 7m – 8<\/p>\n

iv) 9x2<\/sup> – 6 + 4x + 11- 6x2<\/sup> – 2x + 3x2<\/sup> – 2
\n= (9x2<\/sup>-6x2<\/sup> + 3x2<\/sup>) + (4x-2x) + (-6 + 11 -2)
\n= (9 – 6 + 3) x2<\/sup> + (4 – 2) x + (11 – 8)
\n= (12 – 6) x2<\/sup> + 2x + 3
\n= 6x2<\/sup> + 2x + 3<\/p>\n

\"AP<\/p>\n

v) 3a2<\/sup> + 4a2<\/sup>b – 7a2<\/sup>\u00a0– b2<\/sup> – ab = (3a2<\/sup> + 7a2<\/sup>) – 4a2<\/sup>b – b2<\/sup> – ab
\n= 10a2<\/sup> – b2<\/sup> – 4a2<\/sup>b – ab<\/p>\n

vi) 5x2<\/sup> + 10 + 6x + 4 + 5x + 3X2<\/sup> + 8 = (5x2<\/sup> + 3x2<\/sup>) + (6x + 5x) + (10 + 4 + 8)
\n= 8x2<\/sup> + 1 lx + 22<\/p>\n

Question 8.
\nWrite the following expressions in standard form. (Page No. 202)
\nSolution:
\nExpression\u00a0 – Standard form
\ni) 3x + 18 + 4x2<\/sup> \u2192 4x2<\/sup> + 3x + 18
\nii) 8 – 3x + 4x \u2192 -3x2<\/sup> + 4x + 8
\niii) -2m + 6 – 3m2 \u2192<\/sup>\u00a0-3m2<\/sup> – 2m + 6
\niv) y3<\/sup> + 1 + y + 3 \u2192 y3<\/sup> + 3y2<\/sup> + y + 1
\nQuestion 9.
\nIdentify the expressions that are in standard form. (Page No. 202)
\ni) 9x2<\/sup> + 6x + 8
\nii) 9x2<\/sup> + 15 + 7x
\niii) 9x2<\/sup> + 7
\niv) 9x3<\/sup> + 15x + 3
\nv) 15x2<\/sup> + x3<\/sup> + 3x
\nvi) x2<\/sup>y + xy + 3
\nvii) x3\u00a0<\/sup>+ x2<\/sup>y2<\/sup> + 6xy
\nSolution:
\n(i), (iii), (iv), (vi) are in standard form.<\/p>\n

Question 10.
\nWrite 5 different expressions in standard form. (Page No. 202)
\nSolution:
\ni) ax2<\/sup> + bx + c
\nii) ax + b
\niii) 4x3<\/sup> + 5x2<\/sup> – 6x + 2
\niv) 5x4<\/sup> – 3x3<\/sup> – 2x – 2
\nv) px3<\/sup> + qx2<\/sup> + r<\/p>\n

\"AP<\/p>\n

Try This<\/span><\/p>\n

Question 1.
\nFind the value of the expression ‘-9x’ if x = -3. (Page No. 203)
\nSolution:
\nThe value of -9x when x = -3
\n-9x = -9 (-3) = + 27<\/p>\n

Question 2.
\nWrite an expression\u2019 whose value is equal to -9, when x = -3. (Page No. 203)
\nSolution:
\nWhen x = -3, then the value of an expression 3x is -9.
\n\u2234 3x = 3 (-3)= -9.<\/p>\n

\"AP<\/p>\n

Do This\u00a0<\/span><\/p>\n

Question 1.
\nAnswer the following expressions (Page No. 206)
\ni) x – 2y, 3x + 4y
\nii) 4m2<\/sup> – 7n2<\/sup> + 5 mil, 3m2<\/sup> + 5n2<\/sup> – 2mn
\niii) 3a – 4b, 5c – 7a + 2b
\nSolution:
\ni) x – 2y, 3x + 4y = (x – 2y) + (3x + 4y)
\n= (x + 3x) + (-2y + 4y) = 4x + 2y<\/p>\n

ii) 4m2<\/sup> – 7n2<\/sup> + 5mn, 3m2<\/sup> + 5n2<\/sup> – 2mn = (4m2<\/sup> – 7n2<\/sup> + 5mn) + (3m2<\/sup> + 5n2<\/sup> – 2mn)
\n= (4m2<\/sup> + 3m2<\/sup>) + (-7n2<\/sup> + 5n2<\/sup>) + (5mn – 2mn)
\n= 7 m2<\/sup> + (-2n2<\/sup>) + 3mn = 7 m2<\/sup> – 2n2<\/sup> + 3mn<\/p>\n

iii) 3a – 4b, 5c – 7a + 2b = (3a – 4b) + (5c – 7a + 2b) = (3a – 7a) + (-4b + 2b) + 5c = -4a – 2b + 5c<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Syllabus\u00a0AP Board 7th Class Maths Solutions Chapter 10 Algebraic Expressions InText Questions and Answers. AP State Syllabus 7th Class Maths Solutions 10th Lesson Algebraic Expressions InText Questions Question 1. In the expressions given below identify all the terms. (Page No. 194) i) 5×2 + 3y + 7 ii) 5x2y + 3 iii) 3x2y …<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[9],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/11053"}],"collection":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/comments?post=11053"}],"version-history":[{"count":0,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/11053\/revisions"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/media?parent=11053"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/categories?post=11053"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/tags?post=11053"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}