Equations Inequalities Study Guide

Choose which values of x are solutions to the inequality.

• 9

• 8

• 20

• 12

• 16

Solve the equation. On paper, write the equation, show the balancing step and the solution.

A pet store has 45 mice. The number of mice is 22 more than the number of cats. Which equation can be solved to find the number of cats, c?

• 22c = 45

• 45c = 22

• c + 22 = 45

• c - 22 = 45

Anton waters his lawn 3 times a week. If he watered his lawn 24 times in all, which equation could be used to find how many weeks he has been watering his lawn?

• x + 3 = 24

• 24 - x = 3

• 3x = 24

Choose the inequality that represents the situation. There are less than 30 questions on the test.

• x < 30

• x > 30

Choose the inequality that represents the situation. There are no fewer than 30 M&Ms in a bag.

• x < 30

• x > 30

Choose the inequality that represents the situation. The temperature rose more than 30 degrees.

• x < 30

• x > 30

Which value makes the inequality 4n < 20 true?

• 4

• 5

• 6

• 7

Choose the inequality that represents the situation. The bus can hold up to 30 students.

• x < 30

• x > 30

How many solutions are there to this equation?

• no solution

• exactly one solution

• at least two solutions

• infinitely many solutions