UA Elementary Algebra Worksheet

Name ____________________Elementary Algebra Coffey
Spring 2022
Chapter 9 Test
For numbers 1 through 7 circle the best choice. You do not need to show work.
1. Choose the LCD of
.
A. 2×2
B. 8x
2. In simplest form the fraction
A.
18 x 2 y 3
10 xy 2
3. The fraction
B.
36 x 2 y 3
is:
20 xy 2
9xy
5
C.
9 xy 3
5
D.
36xy
20
5
is undefined when x =
x−2
A. 2
B. -2
4. To simplify the complex fraction
A. 2
C. 5
1
x 2 you would multiply every term by:
1
4+
x
C. x2
B. 4
3a 2 b 7 15 x 2 y 2

B.
5x 3 y
9a 3 b 4
3a 2 b 7 9a 3b 4

5 x 3 y 15 x 2 y 2
D. -5
2+
5. Which shows the correct first step in solving
A.
D. 4×2
C. 2x
D. x
3a 2 b 7 9a 3b 4

?
5 x 3 y 15 x 2 y 2
C.
3a 2 b 7 15 x 2 y 2
•
5 x 3 y 9a 3 b 4
3a 2 b 7 15a 3b 4
•
D.
5x 3 y 9 x 2 y 2
6. Solve F = GH for H
A. FG = H
B. F – G = H
C. F/G = H
D. F + G = H
7. The correct rewritten form of (x + 2) – (3x – 7 ) is
A. x + 2 – 3x + 7
B. x – 2 – 3x – 7
Solve each problem. Show all work.
8. Simplify
x 2 − 7 x + 10
25 − x 2
9. Multiply
x5 y3
x2 − 9
•
x2 − x − 6 x2 y4
10. Multiply
x3 y 4
x2 − x − 2
•
x 2 − 4x + 4
x6 y4
11. Divide
x 2 + 3x + 2
x2 − x − 6

x 2 + 5 x + 4 x 2 + 2 x − 15
12. Add
C. x + 2 – 3x – 7
D. x – 2 + 3x – 7
13. Add
14. Add
15. Subtract
x−3
6
+ 2
x−2 x −4
x−2 x−3
−
10 x
15 x
3
xy
1
2− 2
x y
5+
16. Simplify
17. Solve.
2
12
=
x−2 x+3
18. Solve
3x
10
−2=
x−3
x−3
19. Solve T = FM – GM for M.
20. Solve x + 3y = 20 for y.