2022-2021
FINAL EXAM REVIEW ALGEBRA 1, MAT 013
The answers are at the end of the page
2𝑚−7𝑛
1. Evaluate when m = 7 and n = –1.
𝑚+𝑛
7 7
a. –1 b. c. 9 d.
6 2
2. Evaluate for 𝑥 = −1: 𝑥 2 − 2𝑥 + 5
a. 2 b. 4 c. 8 d. 6
3. Simplify: 3𝑦 − 14(5𝑦 − 4)
a. 4 − 67𝑦 b. 56 − 67𝑦 c. 63𝑦 d. 56 − 28𝑦
2 1
4. Solve the equation: 3 𝑥 = − 5
13 2 3 3
a. 𝑥 = 15 b. 𝑥 = − 15 c. 𝑥 = − 10 d. 𝑥 = 10
5
5. Solve the equation: 2 𝑦 + 11 = −1
24 12
a. 𝑦 = − b. 𝑦 = 4 c. 𝑦 = −30 d. 𝑦 =
5 5
6. Solve the equation: 4𝑥 = 6𝑥 + 30
a. 𝑥 = 3 b. 𝑥 = −15 c. 𝑥 = 15 d. 𝑥 = −17
7. Solve the equation: 3(2𝑥 + 10) − 32 = 6 + 2(3𝑥 − 4)
a. 𝑥 = 2 b. 𝑥 = 0 c. no solution d. all real numbers
8. Marcus made $21 more than three times Joel's weekly salary. If x represents Joel's
weekly salary, write an expression for Marcus' weekly salary.
a. 21𝑥 + 3 b. 3𝑥 + 21 c. (3𝑥 + 21) d. 21(3 + 𝑥)
Page 1 of 10
, 9. The plans for a rectangular deck call for the width to be 6 feet less than the length.
Sam wants the deck to have an overall perimeter of 44 feet. What should the length
of the deck be?
a. 6 feet b. 8 feet c. 20 feet d. 14 feet
10. Find the x- and y- intercepts: 3𝑥 − 2𝑦 = 12
a. x-int: (4, 0) b. x-int: (−4, 0) c. x-int: (6, 0) d. x-int: (6, 0)
y-int: (0, −6) y-int: (0, 6) y-int: (0, −4) y-int: (0, 4)
11. Which is the graph of 5𝑥 + 2𝑦 = 10?
a. b.
c. d.
12. Find x so that (𝑥, 6) is a solution to 2𝑥 + 3𝑦 = 12
a. 𝑥 = −6 b. 𝑥 = 30 c. 𝑥 = 15 d. 𝑥 = −3
Page 2 of 10
FINAL EXAM REVIEW ALGEBRA 1, MAT 013
The answers are at the end of the page
2𝑚−7𝑛
1. Evaluate when m = 7 and n = –1.
𝑚+𝑛
7 7
a. –1 b. c. 9 d.
6 2
2. Evaluate for 𝑥 = −1: 𝑥 2 − 2𝑥 + 5
a. 2 b. 4 c. 8 d. 6
3. Simplify: 3𝑦 − 14(5𝑦 − 4)
a. 4 − 67𝑦 b. 56 − 67𝑦 c. 63𝑦 d. 56 − 28𝑦
2 1
4. Solve the equation: 3 𝑥 = − 5
13 2 3 3
a. 𝑥 = 15 b. 𝑥 = − 15 c. 𝑥 = − 10 d. 𝑥 = 10
5
5. Solve the equation: 2 𝑦 + 11 = −1
24 12
a. 𝑦 = − b. 𝑦 = 4 c. 𝑦 = −30 d. 𝑦 =
5 5
6. Solve the equation: 4𝑥 = 6𝑥 + 30
a. 𝑥 = 3 b. 𝑥 = −15 c. 𝑥 = 15 d. 𝑥 = −17
7. Solve the equation: 3(2𝑥 + 10) − 32 = 6 + 2(3𝑥 − 4)
a. 𝑥 = 2 b. 𝑥 = 0 c. no solution d. all real numbers
8. Marcus made $21 more than three times Joel's weekly salary. If x represents Joel's
weekly salary, write an expression for Marcus' weekly salary.
a. 21𝑥 + 3 b. 3𝑥 + 21 c. (3𝑥 + 21) d. 21(3 + 𝑥)
Page 1 of 10
, 9. The plans for a rectangular deck call for the width to be 6 feet less than the length.
Sam wants the deck to have an overall perimeter of 44 feet. What should the length
of the deck be?
a. 6 feet b. 8 feet c. 20 feet d. 14 feet
10. Find the x- and y- intercepts: 3𝑥 − 2𝑦 = 12
a. x-int: (4, 0) b. x-int: (−4, 0) c. x-int: (6, 0) d. x-int: (6, 0)
y-int: (0, −6) y-int: (0, 6) y-int: (0, −4) y-int: (0, 4)
11. Which is the graph of 5𝑥 + 2𝑦 = 10?
a. b.
c. d.
12. Find x so that (𝑥, 6) is a solution to 2𝑥 + 3𝑦 = 12
a. 𝑥 = −6 b. 𝑥 = 30 c. 𝑥 = 15 d. 𝑥 = −3
Page 2 of 10
