Math Models Unit 1 Lesson 7
13. Complete each statement using the given property. 5(2x) = _____ ; associative property of multiplication
(5 x 2) x
16. Use the distributive property to calculate each sum, difference, or product. -2 (5x - 3) = _____
- 10x + 6
18. Use the distributive property to calculate each sum, difference, or product. - (3y - 2x + 5) = _____
- 3y + 2x - 5
19) Use the distributive property to calculate each sum, difference, or product. -17 - 51x = _____
-17 (1 + 3x)
14. Complete each statement using the given property. 45 (12 x 0/45) = _____ ; multiplication property of zero
0
11. Complete each statement using the given property. 0.375 x (_____) = 1 ; multiplicative inverse property
1/0.375
21. Use the distributive property to calculate each sum, difference, or product. 5/3x² - 2/3x = _____
1/3x (5x - 2)
23. Use the distributive property to calculate each sum, difference, or product. 2h - 4 = _____
2 (h - 2)
12. Complete each statement using the given property. (2x² + 12x + 18) = _____ ; distributive property
2 (x² + 6x + 9)
24. Use the distributive property to calculate each sum, difference, or product. 25x² - 75 = _____
25 (x² - 3)
22. Use the distributive property to calculate each sum, difference, or product. (-a) (- 2 + 7a) = _____
2a - 7a²
17. Use the distributive property to calculate each sum, difference, or product. 3x + 9 = _____
3 (x + 3)
10. Complete each statement using the given property. 7 + xy = _____ ; commutative property of addition
xy + 7
20. Use the distributive property to calculate each sum, difference, or product. 4x²y + xy² + y³ = _____
y (4x² + xy + y²)
3. Name the property illustrated. 3 (ab) = (3a) b
associative property
1. Name the property illustrated. (x)(2) = (2)(x)
commutative property
4. Name the property illustrated. 1 + x = x + 1
commutative property
2. Name the property illustrated. 3(x + 4) = 3x + 12
distributive property
5. Name the property illustrated. xy² + y = y (xy + 1)
distributive property
6. Name the property illustrated. (1) (y) = y
identity property
7. Name the property illustrated. 2 (1/2) x = x
identity property
9. Name the property illustrated. 3 + (-3) = (-3) + 3 = 0
inverse property
8. Name the property illustrated. (0.1) (10) (0) = 0
multiplication property of zero
15. Use the distributive property to calculate each sum, difference, or product. p (1 + r) = _____
p + pr