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Algebraic Expressions MATHS - Algebraic Expressions

Gujarat Board (GSEB) - STD 7 - MATHS (GSEB - English Medium). 111 questions in this chapter.

Question types

Algebraic Expressions question types

111 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

111
Questions
6
Question groups
5
Question types
Sample Questions

Algebraic Expressions questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): $7 a^2\left(5 a^3+3 a^4 b\right)=35 a^5+21 a^6 b$
Reason (R) : If $x$ is any variable, and $m$ and $n$ are positive integers then $x^m \times x^n=x^{m+n}$.
  • ✓
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
  • B
     Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
    of Assertion (A). 
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: A.

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Q 2Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A):
$\left(3 x^2-7 x y+2 y^2\right)+\left(5 y^2-x^2+4 x y\right)=\left(2 x^2-3 x y+7 y^2\right)$
Reason (R): When two (or more) algebraic expressions are added, the sum of the like terms is another like term whose coefficient is the sum of the coefficients of those like terms.
  • ✓
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
  • B
     Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
    of Assertion (A). 
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: A.

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Q 3Assertion (A) & Reason (B) MCQ1 Mark

Assertion (A): $2 x$ and $2 x^2$ are like terms.
Reason (R): In an algebraic expression, the terms having the same literal factors are called like terms.

  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
  • B
     Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
    of Assertion (A). 
  • C
    Assertion (A) is true but Reason (R) is false.
  • ✓
    Assertion (A) is false but Reason (R) is true.

Answer: D.

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Q 4Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): $5 x^2 y-3 x y^2+2 y^2 x$ is a trinomial.
Reason (R): An algebraic expression containing three terms is a trinomial.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
  • B
     Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
    of Assertion (A). 
  • C
    Assertion (A) is true but Reason (R) is false.
  • ✓
    Assertion (A) is false but Reason (R) is true.

Answer: D.

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Q 5Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): $2 x-5 y$ is a binomial.
Reason (R): An algebraic expression containing two variables is called a binomial.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
  • B
     Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
    of Assertion (A). 
  • ✓
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: C.

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Q 145 Marks Questions5 Marks
Add the following expression: $\frac{3}{2}\text{x}^3-\frac{1}{4}\text{x}^2+\frac{5}{3},-\frac{5}{4}\text{x}^3+\frac{3}{5}\text{x}^2-\text{x}\\+\frac{1}{5},-\text{x}^2+\frac{3}{8}\text{x}-\frac{8}{15}$
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Q 165 Marks Questions5 Marks
Find the products given below and case verify the result for $a = 1, b = 2$ and $c = 3.$
$\Big(\frac{1}{4}\text{abc}\Big)\times(-6\text{b}^2\text{c})\times\Big(-\frac{1}{3}\text{c}^3\Big)$
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Q 175 Marks Questions5 Marks
Find the products given below and case verify the result for $a = 1, b = 2$ and $c = 3$. $\Big(\frac{-4}{7}\text{a}^2\text{b}\Big)\times\Big(\frac{-2}{3}\text{b}^2\text{c}\Big)\times\Big(\frac{-7}{6}\text{c}^2\text{a}\Big)$
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Q 18case /data -based (4 Marks)4 Marks
Brij owns a rectangular farmland X having length $3 a^2+a^2 b-2 a b$ and perimeter $6 a^2+2 a^2 b-2 a b-4 b^2$. Today he purchased the adjacent farmland $Y$ and combined the two farmlands into one. The length of his farmland now increased by $a^2+a b$, while the breadth remained the same.
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Q.1. Find the breadth of farmland X.
(a) $6 a^2+a b-2 b^2$$\quad$(b) $a b-2 b^2$$\quad$(c) $12 a^2-4 a b$$\quad$(d) $-4 b^2$
Q.2. Find the length of the combined farmland.
(a) $4 a^2-a b+a^2 b$$\quad$(b) $a^2+2 a b-2 b^2$$\quad$(c) $2 a^2-3 a b+a^2 b$$\quad$(d) $4 a^2-3 a b+a^2 b$
Q.3. The perimeter of the combined farmland is
(a) $8 a^2+2 a^2 b+4 a b+4 b^2$$\quad$(b) $4 a^2+4 a b-2 a^2 b-8 b^2$
(c) $4 a^2-2 a^2 b+4 b^2$$\quad$(d) $8 a^2+2 a^2 b-4 b^2$
Q.4. The area of the farmland Y is
(a) $a^3 b+a^2 b^2+a b^3$$\quad$(b) $a^3 b-2 a^2 b^2-a b^3$$\quad$(c) $a^3 b-2 a^2 b^2+a b^3$$\quad$(d) $a^3 b-a^2 b^2-2 a b^3$
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Q 213 Marks Question3 Marks
Add the following expression: $\frac{8}{5}\text{x}+\frac{11}{7}\text{y},+\frac{9}{4}\text{xy},-\frac{3}{2}\text{x}-\frac{5}{3}\text{y}-\frac{9}{5}\text{xy}$
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