Expressions Equations Inequalities Test Review EXPRESSIONS 1 Simplify

Expressions Equations Inequalities Test Review

EXPRESSIONS 1. • Simplify the following algebraic expression 2 x - 2(3 x – y) + 4 x

EXPRESSIONS 2. •

Expressions and Inequalities 3. • Sherry charges $12 per hour to babysit. She also charges $5 to cover her gas expenses. If Sherry babysits for Mrs. Smith for 6 hours, what does Mrs. Smith owe her? • How many hours would Sherry need to babysit in order to make at least $50.

EQUATIONS 4.

EQUATIONS • There are 34 girls that are trying out for the softball team. Eighth grade has twice as many girls trying out than seventh grade, and the sixth grade has 4 5. more girls trying out than the eighth grade. Part A If n represents the number of girls in the seventh grade, which equation can be solved to determine the number of students in the seventh grade? A. 4 + n + 2 n + n = 34 B. 4 + 2 n + n = 34 C. 4 + 2 n + n = 34 Part B How many seventh grade girls are trying out for the softball team?

EQUATIONS 6. • The Siegel Middle School boys basketball team scored 5 points in the first quarter. They scored twice as many points in the second quarter as they did in the third quarter. If they had total of 38 points at the end of the third quarter, how many points had they scored in the third quarter?

INEQUALITIES 7. • A student earns 2 points for completing their math homework on time, plus 4 points for every correct solution. Matthew earned more than 90 points for his homework. • Part A Write an inequality that correctly represents the situation, where x is the number of correct solutions. • Part B Solve the inequality to determine how many correct solutions Matthew had

INEQUALITIES 8. • During the most recent snowfall, there was 3 inches of snow on the ground by 6 AM. The snow then began to fall at a rate of ½ inch per hour. The record snowfall for last year was 7 ½ inches. The inequality ½ x + 3 > 7 ½ can be solved to find the number of hours it must snow in order to beat last year’s record. Solve and graph the solution set of the inequality on a number line.

INEQUALITIES 9. • Ms. Faulkner has been given $100 to spend on science supplies. She wants to purchase a microscope for $55, a plant model for $23. 50 and some microscope slides for $3. 50 each. • What is the maximum number of slides Ms. Faulkner can purchase?

INEQUALITIES 10. • Solve and graph the inequality 8 + 6 x < 50 How would the problem change if it were 8 – 6 x < 50

8 + 6 x < 50 -8 6 x < 42 6 6 8 - 6 x < 50 -8 -6 x < 42 -6 x < 7 x > - 7 - 8 -7 -6