Unit 3 Review: Equations and Inequalities
Name:
Solve. SHOW your steps. Box in answer.
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2.
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5.
6. The table shows the number of CD’s that students bought at the store, as well as other purchases they made. Ryan and Liz spent the same amount of money. Write an equation representing the cost of each CD, if each CD cost the same amount.
Student / Number of CD’s / Other PurchasesRyan / 4 / $46
Pete / 5 / $10
Liz / 3 / $20
Claire / 3 / $34
7. The Smith family pays $8 per pizza plus a $5 dollar delivery fee. They paid a total of $37. Write and solve an equation to determine the number of pizzas the Smith family ordered.
Define Variable:
Equation:
8. Eight fewer than half of the students in Michelle’s class will be attending the dance. If 130 studentswill be attending the dance, how many students are in Michelle’s class? Write and solve an equation to determine the how many students are in Michelle’s class.
Define Variable:
Equation:
9.One-halfJimmy’s age decreased by 2 is equal to three times his age decreased by 10. How old is Jimmy?
10. What is the value of x in the triangle below?
What is the measure of B in the triangle below?
11. The measures of three angles of a triangle are given by (8x 5)°, (2x)°, and (3x 10)°. What is the measure of the smallest angle?
12. Write each number in Scientific Notation.
A.
B. 92,000,000
C.
D.
13. Write each number in Standard Form.
A.
B.
C.
D.
14. Madison bought a shirt for $10, a skirt for $25, and a hat for $8. The sales tax was 8%.
How much didMadison pay in sales tax?
How much didMadison pay for these items including the sales tax?
15. Caroline found a pair of shoes for $55. She had to pay 8% sales tax for the shoes. What was the total cost of the shoes including tax?
16-20. Match and Solve
Match the equation with the scenario, and then solve the equation.
15x + 30 ≥ 150 / Alexis is shopping for t-shirts for his school soccer team. Each shirt cost 15 dollars. If he receives a $30 discount from the logo company, how many t-shirts can he buy to spend no more than $150150 – 30x < 15 / Madison is mowing lawns to save money for her senior trip. She charges a flat rate of $30 dollars plus an additional 15 dollars an hour. If Madison wants to earn at least 150, which equation can be used to find how many lawns Madison needs to mow?
15x – 30 ≤ 150 / Amber is making friendship bracelets for her best friends. Each bracelet requires 30 beads. If she has already used 15 beads, how many beads can she make with the remaining 150 beads?
150 ≥ 30x -15 / Alberto withdraws 30 dollars every week from his savings account. If he has an initial account balance of 150, how many weeks will it take for his account to have less than $15?
30 + 15x = 150 / Container A is being filled at a rate of 15 ml per minute from an initial amount of 30ml. Container B has 150 ml. How many minutes will it take for Container A to have the same amount of liquid as container B?