College Algebra Worksheet

Name _______________________Elementary Algebra Coffey
Spring 2022
Chapter 8 Test
Part One: Multiple Choice. Circle the correct response.
1. Which shows 24×4 + 36×5 factored completely?
A.
6×4
B. 12x ( 4×3 + 6×4)
C. 6×4 (4 + x)
D. 12×4 ( 2 + 3x)
2. Which shows the completely factored form of 25 – 36y2 ?
A. 5 ( 1 – 9y2)
B. (5y + 6)(5y – 6)
C. (5 + 6y) (5 – 6y)
D. cannot be factored
3. The solution set of (x – 1) (x – 3) = 0 is:
A. { 1, -3}
B. { -1, 3}
C. { -1, -3}
D. { 1, 3}
C. {-3, 12}
D. {3, -12}
C. 4(x2 – 100)
D. 4(x + 5)(x – 5)
4. The solution set of x2 + 9x = 36 is:
A. {-9, 4}
B. {-4, 9}
5. Completely factored 4×2 – 100 is:
A. 4(x2 – 25)
B. 2(2×2 – 50)
6. The larger solution to the equation x2 – 9x + 20 = 0 is:
A. 5
B. 4
C. -4
D. -5
7. The factored form of 2ax + 7ay + 10bx + 35by is:
A. (2a – 5b) (2x + 7y)
B. (a + 5b)(2x + 7y)
C. (a – 5b)(2x + 7y)
8. Factored correctly 5(x – z) – y ( z – x) is:
A. (5 – y )( x – z )
B. 5 + y
C. (5 + y) ( x – z)
D. (5 – z) (x – y)
Part Two: Factor each problem completely (if possible). Circle your final answer.
9.
x2 + 6x + 9
11. x2 + 1x – 12
13.
2×2 + 7x + 6
10.
x2 – 36
12. 6×2 – 12x + 6
14. 6×2 – 16x -6
Part Three: Solve each equation. Show all work
15.
x (x – 6) = 0
16.
x2 + x – 20 = 0
17.
x2 – 7x = 18
18. (x + 5) (x – 3) = 33
Part Four: Answer each of the following. You must solve algebraically using a “let statement,”
an equation, and solve the equation correctly. Show all work.
19. The product of two consecutive positive integers is 156. Find the integers.
20. The length of a rectangle is three more than the width. The area of the rectangle is 54
square meters. Find the length and width of the rectangle.