Practice 1.3: Distributive Property with combining
Like Terms.
SOL A.4
Name____________________________
Multiply.
1. 2x · 3y
2. 7a(b)
3. 15c (2c)
4. 7a · 2b · 3c
5. 10x² · 2y² · 3z³
6. 5x²y³ · 2xy
7. –5a²b · (–6ab²)
8. 7x²y(–2xy)
9. –b²(2b)
10. a + (2b – 3c)
11. a – (2b – 3c)
12. a – (2b + 3c)
13. –(a – 2b + 3c)
14. (5a – 2b) – (3b – 5a)
15. 7x + 3y – (–3x + 3y)
16. 8x – (3x – 2y) – 5y
17. 5(4x – 13)
18. (3a –5b + c)(–3)
19. 7x – 3(5 + x)
20. 3(12x + 5) – 10x
21. 4x + 4(9x – 2) – 3
22. 15 – 2(4 + 7a) + 5a
23. –7(–2 – 5x) + 5x – 18
24. 6(2t – 3n) – 3(3t – 2n)
25. –2(3x – 2y) – 5(2y – 3x)
26. 7a(5a + 6b –3)
27. 5a + 4 – 8a(3a –2)
Simplify the expression.
Simplify
30.
7b  21
7
31.
Build and simplify expressions that represents
28.
v+3
x 2  xy
x
32.
5 z  15 y  25
5
a) the perimeter, and
b) the area
of each rectangle
29.
8 – 12w
5
9
33. To cut a log in 3 pieces takes 12 minutes. How long will it take to cut the log in 4 pieces?
34. To make bronze you need to take 17 parts of copper, 2 parts of zinc, and 1 part of tin. How many kilograms of each
metal should be taken to produce 400 kg of bronze? Build an equation to represent the problem.
Write as an expression
35. A sum of two consecutive natural numbers, the smallest one of which is n.
36. A product of two consecutive whole numbers, the greatest one is m;
37. A sum of three consecutive even numbers, the greatest one is m;
38. A product of 3 consecutive integers, the smallest one of which is 2p + 1.
40. Prove that the sum of 5 consecutive natural numbers is divisible by 5