PRACTICE PAPER
Class 7 – EXPRESSIONS USING LETTERS-NUMBERS
SECTION – A
1. If the side length of a regular pentagon is p, and the side length of a square is q, which of the following expressions represents the total perimeter of the two figures?
(a) 5p + q (b) 5p + 4q (c) p + q + 9 (d) 5p + 4
2. A rope is 50 meters long. A piece of length x meters is cut from it. The remaining length is then divided into two equal parts. Which expression represents the length of each part?
(a) (50 − x)×2 (b) 50/2 − x (c) (50 − x) / 2 (d) 50 – (x/2)
3. The cost of a notebook is ₹n and the cost of a pen is ₹p. If you buy 3 notebooks and 5 pens, and the shopkeeper gives a discount of ₹10, the total amount to be paid is represented by:
(a) 3n + 5p − 10 (b) 3n × 5p − 10 (c) 3(n − 10) + 5p (d) 10 − (3n + 5p)
4. Simplify the expression 7a − 3b + 2a + 5b.
(a) 9a − 8b (b) 9a + 2b (c) 5a + 8b (d) 5a − 2b
5. What is the value of the expression 15 − 2x when x = −4?
(a) 23 (b) 7 (c) 11 (d) -23
6. An expression for the perimeter of a rectangle with length l and breadth b is 2l+2b. Which other expression is also equivalent to this?
(a) l × b (b) 2(l × b) (c) l + b + l + b (d) 2l × 2b
7. The algebraic expression for “3 less than 10 times a number y” is:
(a) 3 − 10y (b) 10(y − 3) (c) 10y − 3 (d) 3y − 10
8. Which of the following pairs are unlike terms?
(a) 7x and 3x (b) 2ab and 5ba (c) 10p and 11q (d) 4y² and 6y²
9. Assertion (A): The simplified form of the expression 5(2w + 3x + 4w) is 30w + 15x.
Reason (R): The distributive property is used to multiply the number outside the bracket with each term inside the bracket.
(a) 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 true but R is false.
(d) A is false but R is true.
10. Assertion (A): The expressions 10y − 3 and 10(y − 3) are equal.
Reason (R): Algebraic expressions with different operations on the same variables can have the same values for some specific values of the variable.
(a) 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 true but R is false.
(d) A is false but R is true.
