Question

come up with 6th grade math questions for expression

Answer 1

Here are 20 sixth-grade–level questions about expressions, grouped by type. Answers are listed after the questions.

A. Translate words into algebraic expressions (write an expression)
1. "n increased by 7."
2. "3 times a number y."
3. "The product of 8 and the sum of x and 2."
4. "Twice the difference of a number k and 5."
5. "A number p divided by 4, then add 9."

B. Evaluate the expression for the given value(s)
6. Evaluate 4a + 6 for a = 3.
7. Evaluate 7 − 2b for b = 2.
8. Evaluate 5(x + 2) for x = 4.
9. Evaluate (3m − 5) + 2m for m = 3.
10. Evaluate 12 ÷ (y − 2) for y = 5.

C. Simplify (combine like terms and use distributive property)
11. Simplify 3x + 5x.
12. Simplify 4a − 2a + 7.
13. Simplify 6m + 2 − 3m + 9.
14. Simplify 5(2x + 3).
15. Simplify 2(3y − 4) + y.

D. Word problems: write an expression that models the situation
16. Maria buys t packs with 6 pencils in each pack and already has 8 pencils. Write an expression for the total number of pencils.
17. A rectangle has length x + 2 and width 3. Write an expression for its perimeter.
18. Sam earns $9 per hour, works h hours, and pays $12 for lunch. Write an expression for how much money he keeps.
19. Write an expression for "a number n tripled, then decreased by 4."
20. A book has p pages. You read 15 pages each day for d days. Write an expression for how many pages are left.

Answers
A: 1. n + 7
2. 3y
3. 8(x + 2)
4. 2(k − 5)
5. p/4 + 9

B: 6. 4(3) + 6 = 12 + 6 = 18
7. 7 − 2(2) = 7 − 4 = 3
8. 5(4 + 2) = 5(6) = 30
9. (3·3 − 5) + 2·3 = (9 − 5) + 6 = 10
10. 12 ÷ (5 − 2) = 12 ÷ 3 = 4

C: 11. 8x
12. 2a + 7
13. 3m + 11
14. 10x + 15
15. 6y − 8 + y = 7y − 8

D: 16. 6t + 8
17. Perimeter = 2(length + width) = 2((x + 2) + 3) = 2(x + 5) = 2x + 10
18. 9h − 12
19. 3n − 4
20. p − 15d

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