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Expressions, Equations, and Inequalities

Unit Test Review

1. What is the first step in following this equation 5 – 4x = 21

2. Solve the following equation.

-2x – 6 = 18

3. Solve and graph the following inequality.

[pic]

4. Solve the following equation.

0.3y ’ −2

5. Simplify the following expression.

2(5x – 6) – 4x + 7

6. Larry rented a car. It cost $25 plus $9.25 per hour. Larry paid $274.75 for the car rental. Write and solve an equation to find how many hours he rented the car.

7. Which inequality has the graphed solution below?

[pic]

A −2x − 4 ( −5 C 2x − 4 ( −5

B −2x − 4 ( 5 D 2x − 4 ( 5

8. Antonia currently has $4,500 in her savings account. She saves $150 per month. Cal currently has $3,400 in his account. He saves $250 per month. How much more money than Antonia will Cal have after 12 months?

9. Mike is a plumber. Mike charges an initial fee of $100 plus an hourly fee of $60. Write an expression to represent how much he will earn if he works h hours.

10. Use the Distributive Property to simplify the following expression.

4(3x – 9)

11. Factor the following expression.

12x + 9

12. If 4a − 1 ’ 5 and 2b − 8 ’ 17, what is the value of a + b?

a. Solve the equation: 4a -1 = 5

b. Solve the equation: 2b – 8 = 17

c. What is the value of a + b?

13. Draw a number line to represent the inequality -3 > x .

[pic]

14. You are going bowling. You have $25 to spend. You rent a pair of shoes for $4. Each game costs $7. Write and solve an equation for how many games you can bowl.

15. Sarah is going grocery shopping. Her total was $18.90. If she bought 5 apples for $1.25 each, two boxes of cereal for $4.15 each, and a large bag of chips. How much did she spend on the bag of chips?

16. Shaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday. He earned at least $160 in all. Write an inequality and find the minimum number of hours, to the nearest hour, that Shaggy worked on Saturday. (3 points)

a. Write an inequality that represents the amount Shaggy made for h hours of work.

b. What is the minimum number of hours Shaggy worked on Saturday?

c. Graph the solution of the inequality from part (b).

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unit

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