1. Expressions, Equations & Inequalities Unit Test Review
Algebra I

2. Original: 4(2x + 3) – 3x = 17 Step 1: 8x + 12 – 3x = 17
Michael had to solve the equation 4(2x + 3) – 3x = 17 on his math test. The first three lines of his solution are below:
Original: 4(2x + 3) – 3x = 17
Step 1: 8x + 12 – 3x = 17
Step 2: 8x – 3x + 12 = 17
What mathematical property did Michael use to go from Step 1 to Step 2?

3. If a list of consecutive odd integers began with m, what would the next two integers be?

4. Solve the following inequality:

5. Express the solution set represented by the following number line in interval notation:

6. Solve the following equation for b, in terms of a and c: 2a + 3b = 4b - c

7. Identify the inequality represented by the following number line:

8. Solve the following equation for x:
3(2x – 5) + 4x = 25

9. How many solutions does the following equation have?
6g + 5 = 3(2g -1)

10. What is the smallest integer that is included in the solution set to the following inequality?

11. Graph the solution set to the following inequality on the number line below:
-4 < x < 1

12. Write the equivalent interval notation for the following number line:

13. Solve the following equation for k, in terms of j:
5jk + 3k = 7

14. If a list of consecutive integers begins with e, state the next two integers.

15. Rewrite the following compound inequality using either AND or OR.
-2 < 2x + 1 < 5

16. Solve the following compound inequality:
-7 < 3x - 1 < 11

17. Solve the following equation for h:
6h – 4 = 2h + 20

18. Solve the following equation for z:
3(z – 2) = 4(2z + 1)

19. Which inequality sign would make the following inequality true for x = 3?

20. Write the inequality represented by the following interval notation:
(-∞, 5)

21. Write the inequality represented by the following interval notation:
[-4, 3)

22. Solve the following equation for d, in terms of c and e:

23. Solve the following compound inequality:
-10 < 2x + 4 < 32

24. How many solutions does the following equation have?
5x + 4 = 2(3x + 2) - x