University:
Felician University
Course:
MATH-002 | Basic Math Skills-Algebra
Academic year:

2024
Views:

119

Pages:

7
Author:

Clint W.

Answer Key: 1. C 2. C 3. A For Question #12 4. D 5. D 6. C 7. C 8. B 9. B 10. C 11. B For Question #13 h Algebra Practice Problems with Constructed Response 1. Which set of data points could be modeled by a decreasing linear function? DOK: A. {(0,0), (1,8), (2,15), (3, 22), (4, 30)} 1 C. {(0,50), (1,42), (2,33), (3, 25), (4, 16)} B. {(0,5), (1,6), (2,10), (3, 16), (4, 28)} D. {(0,64), (1,60), (2,52), (3, 39), (4, 22)} 2. Use these functions to answer this question 𝑃(𝑥) = 𝑥 2 − 𝑥 − 6 DOK: 𝑄(𝑥) = 𝑥 − 3 2 What is P(x) – Q(x)? A. x2 – 3 B. x2 – 9 C. x2 – 2x – 3 D. x2 – 2x - 9 The total daily expenses to operate Shelia’s pie bakery are the cost of salaries and ingredients. Shelia has four employees, and she pays each worker a daily rate. On DOK: average, it costs the same amount of money to make each pie. This expression shows the 2 total daily expenses for Shelia’s bakery to make x pies 4(75) + $0.50x What does the term 4(75) represent? A. The amount of money Shelia must B. The number of pies Shelia must sell pay her employees per day per day 3. C. The total cost of expenses per pie 4. D. The amount of money customers pay per pie Which function represents the data in the table? DOK: 2 A. 𝑓(𝑥) = 2𝑥 + 1 C. 𝑓(𝑥) = 2𝑥 − 1 𝑥 B. 𝑓(𝑥) = D. 𝑓(𝑥) = 2 + 1 2 𝑥 −1 5. What is the solution to this system of equations? 𝑥 − 3𝑦 = 1 𝑥 − 2𝑦 = 6 DOK: A. (-2,-5) B. 2 C. (4,1) 6. D. (-2,-1) (16,5) Information about the costs of three catering companies is shown in this table DOK: 3 Gavin can spend no more than $300 on catering. What is the greatest number of people he can invite using one of the three caterers? A. 30 B. 32 C. 33 7. D. 37 Which set of data could be BEST modeled by a quadratic function? A. B. DOK: 2 C. D. 8. This list shows the number of text messages each student in a group sent in one day DOK: 16, 2, 8, 5, 3, 20, 15, 4, 9, 16, 19, 17 2 The students are creating this histogram to show their data What should be the height of the bar for 6-10 text messages? A. 1 C. 4 9. DOK: 1 Which number is equivalent to 5√8 ∙ 3√4 A. 15√2 C. 30√3 B. 2 D. 5 B. 60√2 D. 60√3 10. The first term in an arithmetic sequence is 5. The fourth term in the sequence is -4. The tenth term is -22. Which function can be used to find the nth term of the arithmetic DOK: sequence? 2 A. 𝑓(𝑛) = −𝑛 B. 𝑓(𝑛) = 𝑛 + 4 C. 𝑓(𝑛) = −3𝑛 + 8 11. DOK : 3 D. 1 𝑓(𝑛) = 2 (𝑛 + 5) + 2 Jose wants to spend no more than $30 on apples and grapes for the month. Apples cost $1.50 per pound, and grapes cost $2 per pound. Jose also wants his monthly caloric intake from apples and grapes to be greater than 2000 calories. He determine that 1 pound of apples has 200 calories and 1 pound of grapes has 300 calories Let a represent the number of pounds of apples, and g represent the number of pounds of grapes. Which system of inequalities can be used to determine the number of pounds of apples and grapes that Jose can buy for a month? 1.5𝑎 + 2𝑔 ≥ 30 1.5𝑎 + 2𝑔 ≤ 30 A. { B. { 200𝑎 + 300𝑔 > 2000 200𝑎 + 300𝑔 > 2000 C. { 2𝑎 + 1.5𝑔 ≤ 30 300𝑎 + 200𝑔 > 2000 D. { 2𝑎 + 1.5𝑔 ≥ 30 200𝑎 + 300𝑔 < 2000 CONSTRUCTED RESPONSE: