Student will use the properties to simplify algebraic expressions.
Using the properties.
Rewrite the following using the indicated property.
1. 3x + y + 4z
commutative(+)
2. (p + 3q) + 17
associative(+)
3. 2(3x + 4y)
distributive of
mult over add
4. (x – 5z)2
distributive of
mult over subt
5. 3x5x8
commutative(x)
6. 9(8x2)
associative(x)
7. (4x – 6y)/2
distributive of
div over subt
8. – 2(3x – 5y)
distributive of
mult over subt
Use the distributive property, then add like terms.
9. 4(2m + 3n) + 5m
10. 4x + 3(4x + 8y)
11. 9x + 2(x + 2x + 3)
12. –3(6n + 2m) – 2n
13. 3(6x - 3y) - 5x
14. –10(y + 4z) + 7y
15. 2x – 3x + 4(x – 2x – 1)
Add/subt the following.
16. (2x – 3y + 2) + (3x + 5y – 6)
17. (- 5m + 4n + 2p) + (- 8m – 4n – 13p)
18. (3x – 5y – 12) – (5x – 2y + 3)
19. (4m – 3n + 6) – (6m + 4n – 4)
20. (2x – 3y + 2) - (3x + 5y – 6)
21. (- 5m + 4n + 2p) - (- 8m – 4n – 13p)
22. (3x – 5y – 12) + (5x – 2y + 3)
23. (4m – 3n + 6) + (6m + 4n – 4)
Review. Translate to a math expression or sentence.
24. six less than twice a number
25. Twelve subtracted from a number is one.
25. twice the sum of a number and seven
27. six times the difference of two and a number
