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come up with 6th grade expression questions
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Here are 24 6th-grade–level expression questions, grouped by type. Answers are given at the end.
Evaluate (substitute the given value)
1. Evaluate 3x + 5 when x = 4.
2. Evaluate 2(4 + y) when y = 3.
3. Evaluate 5a − 2b when a = 3 and b = 4.
4. Evaluate m^2 + 6 when m = 2.
5. Evaluate 8 ÷ (p − 1) when p = 5.
6. Evaluate 0.5t + 2 when t = 6.
7. Evaluate 3(2 + x) − 4 when x = 1.
8. Evaluate (1/2)w + 3 when w = 8.
Simplify (combine like terms or use distributive property)
9. Simplify 4x + 3x.
10. Simplify 6a − 2a + 5.
11. Simplify 3(2x + 4).
12. Simplify 2(3m − 2) + 4.
13. Simplify 5y + 2 − y + 3.
14. Simplify 7 − 2(3 + x).
15. Simplify (1/3)x + (2/3)x.
16. Simplify 2x + 3 + 4x − 5.
Translate words into expressions
17. Write an expression for “n increased by 7.”
18. Write an expression for “eight times the sum of a number n and 3.”
19. Write an expression for “five less than twice a number k.”
20. Write an expression for “the quotient of a number p and 4.”
21. Write an expression for “three more than the product of 6 and a number m.”
22. Write an expression for “half of a number x decreased by 2.”
Challenge word problems (write expressions)
23. Mia has x stickers. She buys 3 packs of 5 stickers each and gives away 4 stickers. Write an expression for how many stickers she has now.
24. A rectangle has length L and width half as long as the length. Write an expression for the rectangle’s perimeter.
Answer key
1. 17
2. 14
3. 7
4. 10
5. 2
6. 5
7. 5
8. 7
9. 7x
10. 4a + 5
11. 6x + 12
12. 6m (2(3m − 2) + 4 = 6m − 4 + 4 = 6m)
13. 4y + 5
14. 1 − 2x (7 − 6 − 2x = 1 − 2x)
15. x ((1/3 + 2/3)x = 1x)
16. 6x − 2
17. n + 7
18. 8(n + 3)
19. 2k − 5
20. p/4 (or p ÷ 4)
21. 6m + 3
22. (1/2)x − 2
23. x + 3·5 − 4 → x + 15 − 4 → x + 11
24. width = (1/2)L, perimeter = 2L + 2(1/2 L) = 3L
If you want, I can make a printable worksheet version, add more problems, or create problems with answer blanks for students.
Evaluate (substitute the given value)
1. Evaluate 3x + 5 when x = 4.
2. Evaluate 2(4 + y) when y = 3.
3. Evaluate 5a − 2b when a = 3 and b = 4.
4. Evaluate m^2 + 6 when m = 2.
5. Evaluate 8 ÷ (p − 1) when p = 5.
6. Evaluate 0.5t + 2 when t = 6.
7. Evaluate 3(2 + x) − 4 when x = 1.
8. Evaluate (1/2)w + 3 when w = 8.
Simplify (combine like terms or use distributive property)
9. Simplify 4x + 3x.
10. Simplify 6a − 2a + 5.
11. Simplify 3(2x + 4).
12. Simplify 2(3m − 2) + 4.
13. Simplify 5y + 2 − y + 3.
14. Simplify 7 − 2(3 + x).
15. Simplify (1/3)x + (2/3)x.
16. Simplify 2x + 3 + 4x − 5.
Translate words into expressions
17. Write an expression for “n increased by 7.”
18. Write an expression for “eight times the sum of a number n and 3.”
19. Write an expression for “five less than twice a number k.”
20. Write an expression for “the quotient of a number p and 4.”
21. Write an expression for “three more than the product of 6 and a number m.”
22. Write an expression for “half of a number x decreased by 2.”
Challenge word problems (write expressions)
23. Mia has x stickers. She buys 3 packs of 5 stickers each and gives away 4 stickers. Write an expression for how many stickers she has now.
24. A rectangle has length L and width half as long as the length. Write an expression for the rectangle’s perimeter.
Answer key
1. 17
2. 14
3. 7
4. 10
5. 2
6. 5
7. 5
8. 7
9. 7x
10. 4a + 5
11. 6x + 12
12. 6m (2(3m − 2) + 4 = 6m − 4 + 4 = 6m)
13. 4y + 5
14. 1 − 2x (7 − 6 − 2x = 1 − 2x)
15. x ((1/3 + 2/3)x = 1x)
16. 6x − 2
17. n + 7
18. 8(n + 3)
19. 2k − 5
20. p/4 (or p ÷ 4)
21. 6m + 3
22. (1/2)x − 2
23. x + 3·5 − 4 → x + 15 − 4 → x + 11
24. width = (1/2)L, perimeter = 2L + 2(1/2 L) = 3L
If you want, I can make a printable worksheet version, add more problems, or create problems with answer blanks for students.
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