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Algebraic Expressions MATHS - Algebraic Expressions

Gujarat Board (GSEB) - STD 7 - MATHS (GSEB - English Medium). 133 questions in this chapter.

Question types

Algebraic Expressions question types

133 questions across 10 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

133
Questions
10
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 2M.C.Q. [1 Marks Each]1 Mark
The algebraic language of 'Twice the cube of a number x subtracted from five times the sum of y and 2' is
  • A
    $5 y+2-2 x^3$
  • B
    $2 x^3-5 y+2$
  • ✓
    $5(y+2)-2 x^3$
  • D
    $5(y+2)-(2 x)^3$

Answer: C.

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Q 6Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A) A monomial is always a binomial.
Reason (R) Because every monomial can be expressed as a binomial with a coefficient of 1.
  • A
    Both A and R are true and R is the correct explanation of A.
  • ✓
    Both A and R are true and R is not the correct explanation of A.
  • C
    A is false but R is true.
  • D
    A is true but R is false.

Answer: B.

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Q 7Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A) The expression $2 x^2 y$ and $3 x y^2$ are unlike terms.
Reason (R) Unlike term have different variables or different exponents for the same variable.
  • ✓
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is false but R is true.
  • D
    A is true but R is false.

Answer: A.

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Q 285 Marks Questions5 Marks
Identify the numerical coefficients of terms (other than constants) in the following expressions.
(i) $5-3 t^2$
(ii) $1+t+t^2+t^3$
(iii) x + 2xy + 3y
(iv) 100m + 1000n
(v) $-p^2 q^2+7 p q$
(vi) 1.2a + 0.8b
(vii) $3.14 r^2$
(viii) 2(l + b)
(ix) $0.1 y+0.01 y^2$
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Q 295 Marks Questions5 Marks
A wire is (7x - 3) m long. A length of (3x - 4) m is cut for use. Now, answer the following questions.
(i) How much wire is left?
(ii) If this left out wire is used for making an equilateral triangle, then what is the length of each side of the triangle so formed?
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Q 305 Marks Questions5 Marks
(i) Critical Thinking Write two different algebraic expressions for the word phrase
$\left(\frac{1}{4}\right)$ of the sum of $x$ and 7.
(ii) What's the Error? A student wrote an algebraic expression for "5 less than a number n divided by $3^{\prime \prime}$ as $\frac{n}{3}-5$. What error did the student make?
(iii) Write About If Shashi used addition to solve a word problem about the weekly cost of commuting by toll tax for ₹15 each day. Ravi solved the same problem by multiplying. They both got correct answer. How is this possible?
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Q 315 Marks Questions5 Marks
At age of 2 yr, a cat or a dog is considered 24 "human" years old. Each year, after age 2 is equivalent to 4 "human" years. Fill in the expression [24+....(a-2)], so that it represents the age of a cat or dog in human years. Also, you need to determine for what 'a' stands for. Copy the chart and use your expression to complete it.
Age[24+......(a-2)]Age (human years)
2
3
4
5
6
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Q 325 Marks Questions5 Marks
Consider an algebraic expression
$8 p^2-2 p q+10 q^2 p$.
Find its terms, factors and the numerical coefficient of $p^2$. Then, find the value of given expression when p = 1 and q = 2.
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Q 33case /data -based (4 Marks)4 Marks
Riya wrote an algebraic expression.
Q.1. Which of the following terms has 6 as the coefficient?
(a) s $\quad$ (b) $s^2$ $\quad$ (c) t $\quad$ (d) $t^3$
Q.2.  Write the factors of $56 t^3$.
Q.3. What is the type of the algebraic expression written by Riya?
(a) Monomial $\quad$ (b) Binomial $\quad$ (c) Trinomial $\quad$ (d) Polynomial
Q.4. Riya said, "There are two like terms in the algebraic expression". Is Riya correct? Given reason.
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Q 34Match the following.4 Marks
Match the Column I with Column II.
Column IColumn II
(i) The difference of 3 and a number squared(a) 4 - 2x
(ii) 5 less than twice a number squared(b) $n^2+6$
(iii) Five minus twice the square of a number(c) $2 n^2-5$
(iv) Four minus a number multiplied by 2(d) $5-2 n^2$
(e) $3-n^2$
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Q 35Match the following.4 Marks
Match the Column I with Column II.
Column IColumn II
(i) The coefficient of x in 24xy is(a) 2
(ii) The factors of $5 x y^2$ is(b) 24y
(iii) The sum of $9 x^2 y^2$ and $2 x^2 y^2$ is(c) 5 × x × y × y
(iv) If $a=1, b=1$, then $6 a^2-2 a b-2 b^2$ is(d) $11 x^2 y^2$
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Q 373 Marks Question3 Marks
Classify the following expressions as a monomial, a binomial or a trinomial. a, a + b, ab + a + b, ab + a + b - 5 xy, xy + 5, $5 x^2-x+2$, 4pq - 3q + 5p, 7, 4m - 7n + 10, 4mn + 7.
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