1. Exercise
Use the Distributive Property to write an equivalent expression.
2x + 3x

2. Exercise
Use the Distributive Property to write an equivalent expression.
2x – 3x

3. Exercise
Use the Distributive Property to write an equivalent expression.
2x + 3x – 4

4. Exercise
State the Distributive Property using a, b, and c.

5. Exercise
Define like terms.

6. Exercise 3x2 + 2x − 4 How many terms? Any like terms?
What is the constant?

7. Exercise 2xy2 + 3xy − xy2 How many terms? Any like terms?
What is the constant?

8. Exercise 2a2b3c4 + 10 How many terms? Any like terms?
What is the constant?

9. Example 1
Simplify the expression 12y + (4y − 5).

10. Example 2
Solve 2x − 9x = 343.

11. Example 3
Solve 9x − 6 − 6x + 12 = 33.

12. Example 4
Solve −5x + 7x + 12 = −8.

13. Example 5
The concession stand sold twice as many 16 oz. sodas as they did 12 oz. sodas and gave two large sodas (16 oz.) to the referees. If they used 30.5 gal. (3,904 oz.) of soda during the games, how many sodas of each size did they sell?

14. Example 5 Let s = the number of small sodas.
2s = the number of large sodas sold.

15. Example 5
Each small soda was 12 oz., each large soda was 16 oz., and the sodas sold plus the two large sodas for the referees totaled 3,904 oz.
12s + 16(2s) + 2(16) = 3,904

16. Example 5 Simplify the equation. 44s + 32 = 3,904
Subtract 32 from both sides.
44s = 3,872
Divide both sides by 44.
s = 88

17. Exercise
Solve.
74 − (x − 19) = 0

18. Exercise
Solve.
− 16 = 45
x + 2x 3

19. Exercise
Solve.
= 8
2(3x + 2) 5

20. Exercise
Solve.
(x + 49) + 8 = 35
3 7