Expressions, Equations & Inequalities Unit Test Review

Algebra I

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?

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

Solve the following inequality:

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

Solve the following equation for b, in terms of a and c:

2a + 3b = 4b - c

Identify the inequality represented by the following number line:

Solve the following equation for x:

3(2x – 5) + 4x = 25

How many solutions does the following equation have?

6g + 5 = 3(2g -1)

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

8r - 1 < 55

Graph the solution set to the following inequality on the number line below:

-4 < x < 1

Write the equivalent interval notation for the following number line:

Solve the following equation for k, in terms of j:

5jk + 3k = 7

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

Rewrite the following compound inequality using either AND or OR.

-2 < 2x + 1 < 5

Solve the following compound inequality:

-7 < 3x - 1 < 11

Solve the following equation for h:

6h – 4 = 2h + 20

Solve the following equation for z:

3(z – 2) = 4(2z + 1)

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

Write the inequality represented by the following interval notation:

(-∞, 5)

Write the inequality represented by the following interval notation:

[-4, 3)

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

Solve the following compound inequality:

-10 < 2x + 4 < 32

How many solutions does the following equation have?

5x + 4 = 2(3x + 2) - x