Unit 4 Practice Test Name:_______________________ Date:__________________ Period:______________________

1. Which justification should be used for Step 2?

4(𝑥

16− 5) = −12 Justification

Step 1 𝑥4

− 20 = −12 Distributive Property

Step 2 𝑥4

= 8 ?

Step 3 𝑥 = 32 Multiplication Property of Equality

(A.) Addition Property of Equality (C.) Multiplication Property of Equality

(B.) Subtraction Property of Equality (D.) Division Property of Equality

2. Which inequality is BEST represented by the following number line?

(A.) −6𝑥 + 20 ≤ 44 (C.) −6𝑥 + 20 ≥ 44

(B.) −6𝑥 + 20 < 44 (D.) −6𝑥 + 20 > 44

3. Which number line BEST represents the inequality 5(𝑥 + 5) + 6 ≥ 26?

(A.)

(B.)

(C.)

(D.)

0 50–5

0 50–5

0 50–5

0 50–5

0 50–5

Math 1A Module 4 Review

Unit 4 Practice Test Name:_______________________ Date:__________________ Period:______________________ 4. If you solve the equation 𝑎𝑥+𝑏𝑦

𝑐= 𝑑 for y, what would you get?

(A.) 𝑦 = 𝑏

𝑐𝑑−𝑎𝑥 (C.) 𝑦 = 𝑐𝑑−𝑎𝑥

𝑏

(B.) 𝑦 = 𝑏

𝑎𝑥−𝑐𝑑 (D.) 𝑦 = 𝑎𝑥−𝑐𝑑

𝑏

5. Sarah has $600 in a savings account at the beginning of the summer. She wants to have at least $900 in the account by the end of the summer. She deposits $30 to her account each week. Choose the inequality that models the situation.

(A.) 600 + 30𝑤 ≥ 900 (C.) 600 + 30𝑤 ≤ 900

(B.) 30 + 600𝑤 ≥ 900 (D.) 30 + 600𝑤 ≤ 900

6. Consider the inequality:

2𝑛 + 3(𝑛 + 2) < 𝑛 + 1?

Which of the following values are two possible solutions to the inequality?

(A.) 𝑛 = 1, 𝑛 = 3 (C.) 𝑛 = 1, 𝑛 = 5

(B.) 𝑛 = 3, 𝑛 = 5 (D.) 𝑛 = 5, 𝑛 = 6

7. What is the solution of 12𝑛 + 28 − 8𝑛 = 64?

(A.) 𝑛 = 1.8 (C.) 𝑛 = −1.8

(B.) 𝑛 = 9 (D.) 𝑛 = −9

8. Which inequality has a solution of all real numbers?

(A.) 8 − (5𝑣 + 3) ≤ 5𝑣 − 5 (C.) 3𝑤 + 4 − 𝑤 < 52 − 2(𝑤 − 2)

(B.) 3𝑚 − 6 > 5𝑚 + 7 − 𝑚 (D.) 7𝑦 + 9 < 7𝑦 − 6

Unit 4 Practice Test Name:_______________________ Date:__________________ Period:______________________

9. If you solve the equation 𝐶 = 2𝜋𝑟 for π, what do you get?

(A.) 𝜋 = 2𝑟𝐶 (C.) 𝜋 = 𝐶2𝑟

(B.) 𝜋 = 2𝑟 + 𝐶 (D.) 𝜋 = 2𝑟𝐶

10. Tish is on page 5 of her paper and writes 2 paragraphs every hour. Sam is on page 6 of the same paper and writes 1 paragraph every hour. How long will it take Tisha to be further on her paper than Sam?

(A.) 1 hour (C.) 6 hours

(B.) 2 hours (D.) 11 hours

11. Sandy spends $500 on a supplies and $6 per necklace to sell at the craft fair. She sells the necklaces for $30 each. How many necklaces would Sandy have to sell in order for her revenue to be more than her expenses?

Part A: Write and solve an inequality to models the situation. Show all work!

Part B: Describe in words the quantities that would work in this situation.

Part C: Write your answer in both interval and set notation.

Set: Interval:

Unit 4 Practice Test Name:_______________________ Date:__________________ Period:______________________ 12. Are the following expressions equivalent? Why or why not? 8𝑥+12

4+ 3 2𝑥 + 6

13. You are starting a cleaning business to earn enough money to buy a new sound system, which

costs $600. You already have $200 from last summer. You make $10.50 per hour. Which of the following BEST models the situation? Circle ALL that apply.

A. 10.50𝑥 + 200 ≥ 600

B. 200𝑥 + 10.50 ≥ 600

C. You must work at least 37 hours in order to have enough money for the sound system.

D. You must work at least 38 hours in order to have enough money for the sound system.

E. 𝑥 = 20 is a solution to the inequality.

F. 𝑥 = 50 is a solution to the inequality.

15. Solve the following equation for y: 24𝑦 + 4𝑥 = 24

Answer:

Unit 4 Practice Test Name:_______________________ Date:__________________ Period:______________________ Review 16. A population of 2,000 bacteria decays at a rate of 15% per month. Which equation models the

population, p(t), of the bacteria after t months?

(A.) 𝑝(𝑡) = 2,000(1.15)𝑡 (C.) 𝑝(𝑡) = 1.15𝑡 + 2,000

(B.) 𝑝(𝑡) = 2,000(0.85)𝑡 (D.) 𝑝(𝑡) = 0.85𝑡 + 2,000

17. What is the interval notation of {𝑥|𝑥ℇℝ, 𝑥 ≤ 5}?

(A.) (5, ∞) (C.) (−∞, 5)

(B.) [5, ∞) (D.) (−∞, 5]

18. If the sequence: 3, 9, … is arithmetic, then what will the next two numbers be?

(A.) 18,36 (C.) 27,81

(B.) 15,45 (D.) 15, 21

19. Which table(s) of values could fit with the recursive rule: 𝐴𝑛 = (𝐴𝑛−1)+2?

(A.) (B.) (C.) (D.)

20. Which equation is equivalent to 𝑦 − 16 = 6(𝑥 − 5)?

(A.) 𝑦 = 12𝑥 − 14 (C.) 𝑦 = 12𝑥 − 41

(B.) 𝑦 = 12 + 24 (D.) 𝑦 = 12𝑥 + 79