Expressions Equations Inequalities Unit Test Review Algebra I

Expressions, Equations & Inequalities Unit Test Review Algebra I

Michael had to solve the equation 4(2 x + 3) – 3 x = 17 on his math test. The first three lines of his solution are below: Original: 4(2 x + 3) – 3 x = 17 Step 1: 8 x + 12 – 3 x = 17 Step 2: 8 x – 3 x + 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: 2 a + 3 b = 4 b - c

Identify the inequality represented by the following number line:

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

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

What is the smallest integer that is included in the solution set to the following inequality? 8 r - 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: 5 jk + 3 k = 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 < 2 x + 1 < 5

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

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

Solve the following equation for z: 3(z – 2) = 4(2 z + 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 < 2 x + 4 < 32

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