Questions on Expressions with One or More Variables
Multiple-choice questions for Grade 6 on the topic Expressions with One or More Variables. Each question has five alternatives (A–E). At the end, you'll find a complete answer key with explanations.
Expressions with One or More Variables – Grade 6
Multiple-Choice Questions
1. Which expression means "the sum of a and b"?
A) a × b
B) a − b
C) a + b
D) a ÷ b
E) ab
2. What is the value of 2x + y when x = 4 and y = 3?
A) 10
B) 11
C) 8
D) 9
E) 12
3. Which expression represents “5 times the sum of x and y”?
A) 5x + y
B) 5x + 5y
C) 5(x + y)
D) x + 5y
E) x + y + 5
4. If x = 3 and y = 2, what is the value of x² + y?
A) 9
B) 6
C) 11
D) 8
E) 7
5. Which expression means "twice the value of x minus y"?
A) 2x − y
B) 2(x − y)
C) x − 2y
D) x × y − 2
E) 2 − x − y
6. Simplify: 3a + 2a
A) 5
B) 6a
C) 5a
D) a²
E) a + 6
7. If m = 6 and n = 2, what is the value of m ÷ n + 4?
A) 3
B) 6
C) 7
D) 8
E) 5
8. Which expression shows “4 less than the product of x and y”?
A) xy − 4
B) 4 − xy
C) x − y − 4
D) 4xy
E) (x + y) − 4
9. What does the expression 2x + 3y represent?
A) Add 3 to 2x then multiply by y
B) Multiply 2x by 3y
C) Add twice x and three times y
D) Multiply x and y by 5
E) Subtract 3y from 2x
10. Evaluate: 4a − 2b, when a = 5, b = 3
A) 20
B) 14
C) 10
D) 16
E) 18
11. Which expression represents “the product of x and the sum of y and 2”?
A) x + y + 2
B) x(y + 2)
C) xy + 2
D) x + 2y
E) (x + y) + 2
12. If x = 2, y = 3, and z = 4, find the value of x + y + z
A) 6
B) 7
C) 8
D) 9
E) 10
13. What does ab + 5 mean?
A) a + b + 5
B) 5 more than the sum of a and b
C) 5 more than the product of a and b
D) ab − 5
E) a − b + 5
14. If a = 2, b = 5, find the value of 3a + 2b
A) 16
B) 19
C) 10
D) 21
E) 14
15. Which expression means “three times x minus twice y”?
A) 3(x − y)
B) 3x − 2y
C) 2y − 3x
D) 3x + 2y
E) x − y − 2
16. If x = 3, y = 1, and z = 2, find the value of x(y + z)
A) 9
B) 6
C) 10
D) 7
E) 8
17. Simplify the expression: 2x + 4x − x
A) 5x
B) 6x
C) 7x
D) x
E) 4x
18. What is the value of xy − y, if x = 5 and y = 3?
A) 12
B) 10
C) 15
D) 0
E) 6
19. What does the expression 2(a + b + c) mean?
A) Add a, b, and c; then multiply by 2
B) Multiply a, b, and c by 2
C) Multiply a by 2 and add b and c
D) Multiply a by b and add 2c
E) Subtract c from the sum of a and b, then double
20. If x = 4, y = 6, and z = 2, what is the value of x + y − z?
A) 12
B) 6
C) 8
D) 10
E) 9
- Questions on Values Written as Powers
- Questions on Numerical Expression Evaluation: Basic Operations and Grouping Symbols
- Questions on Single Variable Expressions
Answer Key with Explanations
1. C) a + b – "Sum" means addition.
2. B) 11 – 2×4 = 8; 8 + 3 = 11
3. C) 5(x + y) – Multiply 5 by the sum of x and y.
4. C) 11 – x² = 9, 9 + 2 = 11
5. A) 2x − y – Twice x minus y.
6. C) 5a – 3a + 2a = 5a
7. C) 7 – 6 ÷ 2 = 3, 3 + 4 = 7
8. A) xy − 4 – Product of x and y, then subtract 4.
9. C) Add twice x and three times y – 2x + 3y
10. B) 14 – 4×5 = 20, 2×3 = 6, 20 − 6 = 14
11. B) x(y + 2) – Multiply x by the sum of y and 2.
12. D) 9 – 2 + 3 + 4 = 9
13. C) 5 more than the product of a and b
14. A) 16 – 3×2 = 6, 2×5 = 10, 6 + 10 = 16
15. B) 3x − 2y – Three times x minus two times y
16. B) 6 – y + z = 3, then 3×2 = 6
17. A) 5x – 2x + 4x − x = 5x
18. A) 12 – 5×3 = 15, 15 − 3 = 12
19. A) Add a, b, and c; then multiply by 2
20. D) 10 – 4 + 6 − 2 = 10
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