Score: ___________
MATH 084: Algebra I
TEST 1: Review
Name: _____________________________________
Instructor:________________
Instructions:
Show all necessary work in the solution space provided. Write your final answer in the answer
space corresponding to the question. Do not use a calculator to approximate answers unless
asked to.
QUESTION & W ORKING SPACE
1.
Simplify
9 11

11 13
Simplify
7 1

8 12
Simplify
3 1 5
 
4 12 8
Simplify
3  1 5
  
4  12 8 
Simplify
5 3

17 10
Simplify
2 2

15 5
2.
3.
4.
5.
6.
Date: ___________
ANSWER
page 2
7.
Simplify
5 10
 
3 11
Simplify
2 4 1
 
5 5 2
Simplify
1 5 3
  
3 6 4
10.
Simplify
 4 x  3  x 1
11.
Simplify
 4 x  (3  x)  1
12.
Simplify
11x  5  (4 x  5)
13.
Simplify
2 5d  1  9
8.
9.
page 3
14.
Simplify
3  2 4d  1  2
15.
Simplify
 34 y  3  5  y  9
16.
Simplify
3 1  4   6
17.
Simplify
 6  4  2 8  6
18.
Solve for
a : F  ma
Solve for
: z
19.
x

page 4
20.
Solve for
d : W  F d
Solve for
d: r
21.

180
d
7 x  4  10
22.
Solve for x:
23.
Solve for n:
 n  7  4n  10
24.
Solve for p:
 3  p  5  4  p  7  2
25.
Solve for x:
3
7
x  9
page 5
k  6  23 k  1
26.
Solve for k:
1
2
27.
Solve for y:
0.12 y  4  0.4  y  5  5
28.
Solve for x:
 5 x  1  6  5x  2
29.
Solve the inequality and graph the solution on the number line:
8x  12  8  10x
page 6
30.
Solve the inequality and graph the solution on the number line:
31.
Solve the inequality and graph the solution on the number line:
32.
When the product of 7 and a number is increased by 3, the result is –18. Find
the number.
33.
Marcia’s brownie pan is full of brownies to sell at a benefit. The pan is 13 by 9
inches. If she cuts the brownies into squares of 1 inch by one inch (they’re
very rich brownies), and sells them for $1.25 a piece, how much money will
come in?
 1 5m  6  3m  9  21
10  4n  8  24
page 7
Unit 1 Test Review Answers:
238
95
1
143
143
x
z
19.

19
2.
24
20.
d
31
7
1
3.
24
24
21.
d
22.
x2
23.
n  1
24.
p
25.
x  21
26.
k  22
27.
y  13
1.
1
4.
24
5.
3
34
6.
1
3
7. 
8.
4
5
9.
7
8
50
17
 1
33
33
 3x  4
11.
 5x  4
12.
7x
13.
10d  7
15.  7 y  54
3
17.
20
18. a 

r
11
7
29.
x  10
30.
m
31.
 8d  1
16.
180
28. no solution
10.
14.
W
F
0
-10
9
n8
2
0
32.
-3/4
7n  3  18
, n  3
33.
(13  9)  $1.25  $146.25
0
F
m
3
4
9/2
8
MATH 084: Algebra I
TEST 2 Review
Name: _____________________________________
Instructor:________________
Instructions:
Date: ___________
Show all necessary work in the solution space provided. Write your final answer in the answer
space corresponding to the question. Do not use a calculator to approximate answers unless
asked to.
QUESTION & W ORKING SPACE
1.
Graph
 3x  y  1
2.
Graph
 5x  2 y  3
3.
Graph
y  5.5
ANSWER
4.
Graph
x  5.5
Graph
y
5.
3
x 1
4
6.
Graph 5 x  3 y  15
7.
Find the slope of the line through the points (-32, - 14) and ( -8, -35)
8.
Find the slope of the line: 11x + 13y = -19
9.
Write the equation for the line with a y-intercept (0, -14) and a slope of
10.
Write the equation for the line through (5, 18) with a slope of
11.
Write the equation for the line through (-10, 6) with a slope of - 4.
3
10
.
7
5
.
12.
Write the equation for the line through the points (6, 12) and (8, 5).
13.
Write the equation for the line through the points ( 8, 8) and (10, 10)
14.
Write the equation for the line through the points ( -5, -10) and (-10, -4)
15.
Write the equation for the line with y-intercept (0,9) and x-intercept (-6,0).
16.
Write the equation for the line through the points ( 8, -3) and (8, 1).
Unit 2 Test Review Answers:
1.
4.
7.
m
8.
11
m   13
7
8
9. y  7 x  14
5
2.
5.
3
33
x
10
2
10.
y
11.
y  4 x  34
12.
y
13.
yx
14.
y
6
x  16
5
15.
y
3
x9
2
7
x  33
2
16. Graph the points and see
this is a vertical line with
equation: x  8 .
3.
6.
Score: ___________
MATH 084: Algebra I
TEST 3: Review
Name: _____________________________________
Instructor:________________
Instructions:
Show all necessary work in the solution space provided. Write your final answer in the answer
space corresponding to the question. Do not use a calculator to approximate answers unless
asked to.
QUESTION & W ORKING SPACE
1.
Date: ___________
Graph the inequality 7 x  3 y  21
2.
Graph the inequality
y
2
x5
5
3.
Solve the system by graphing:
x  3 y  10
x y 2
ANSWER
4.
Solve the system by graphing:
2 x  y  4

4 x  2 y  5
Solve the system by elimination:
3x  y  5

6 x  y  4
Solve the system by elimination:
2 x  4 y  7

5 x  6 y  5
5.
6.
Solve the system by substitution:
2 x  y  10

x  y  2
Solve the system by substitution:
7 x  y  10

2 x  y  9
7.
8.
9.
Solve the system using any method:
6 x  5 y  7

4 x  6 y  7
Solve the system using any method:
x
 3  y  2

 x  3y  3
 2 2
Solve the system using any method:
9 x  5 y  18

3x  2 y   11
Solve the system using any method:
 x  5 y  14
 2  4

x  2y  2
 3
6
10.
11.
12.
13.
14.
15.
The sum of two numbers is one hundred thirty-seven. Their difference
is seventy-five. What are the numbers?
A solution of 45% pesticide is to be mixed with a solution of 24%
pesticide to form 84 liters of a 42% solution. How many liters of the
45% solution must be used?
How much pure water must be mixed with 2 pints of 50% developer to
produce a mixture that is 12% developer?
16.
Paul has $2.95 in nickels and dimes. He has fourteen more nickels
than dimes. How many of each coin does he have?
Unit 3 Test Review Answers:
1.
through0,7, 3,0 dashed line, shaded below the
9.
7
7
 , 
 16
8
line
2.
through0,  5 solid line, shaded below the line
10.
same line, dependent system
3.
(-1, 3)
11.
 91

 ,  51
 3

4.
Parallel lines, inconsistent system
12.
(3, 2)
5.
(1, 2)
13.
106 and 31
6.
 31 25
 ,

 16 32 
14.
72 liters
7.
(4, 2)
15.
8.
 1 43 
 , 
 5 5 
16.
6
1
pt
3
29 nickels; 15 dimes
Score: ___________
MATH 084: Algebra I
TEST 4: Review
Name: _____________________________________
Instructor:________________
Instructions:
Show all necessary work in the solution space provided. Write your final answer in the answer
space corresponding to the question. Do not use a calculator to approximate answers unless
asked to.
QUESTION & W ORKING SPACE
1.
x 22  x 15
2.
a8
a 12
3.
6 y3
4.
49a 3 b 7 c 5
35a 8 b 4 c 5
5.
 175n 9

4
 225n
6.
 
4 y
Date: ___________
4
5



4

 9 y 3  5 y  1  ( y 4  6 y 3  2 y  4)
ANSWER
7.
5h
2




8.
3a 6a 7  5a
9.
(3w  5)( 4 w  5)
10.
6 x 3 y 2 (8 x 5  5 x 3 y  3 y 4 )
11.
(4a  5)( 2a  7)
12.
4x
5

 7h  12  (7h 2  5h  2)  9h 2  4h  5

 5 3  9x 5

13.
2a  92
14.
(6 x  7 y )(6 x  7 y )
15.
4a  1 a 2  2a  5
16.
4 x 2  8x  3
4x 2
17.
4a 3 x 2  12ax 2  18a 4 x 5
24a 2 x 2
18.
x  2 x 3  6 x 2  5x  7
19.
solve:
2 4n  3  2 3n  1  n  7
Solve:
1
w  2  1 5  w
4
6
20.
21.
Solve the inequality and graph the solution on the number line:
3 2x  5  x  4 x  2
22.
Solve the system algebraically (substitution or elimination):
2 x  4 y  6

 x  2 y  5
23.
Solve the system algebraically (substitution or elimination):
2 x  5 y  8

6 x  y  10
24.
Solve the system by graphing:
3x  4 y  2

2 x  5 y  1
Test 4 Review Answers:
2.
x 37
13.
4a 2  36a  81
2.
1
a4
14.
36 x 2  49 y 2
3.
6 y 15
15.
4a 3  9a 2  18a  5
4.
7b 3
5a 5
16.
1
5.
2401n 20
6561
17.
a 1 3a 2 x 3


6 2a
4
6.
3y 4  3y 3  7 y  5
18.
x 2  4x  3 
7.
7 h 2  16h  19
19.
-1
8.
18a 8  15a 2
20.
4
5
9.
12w 2  35w  25
21.
x  7
10.
48 x 8 y 2  30 x 6 y 3  18 x 3 y 6
22.
1

  4, 
2

11.
8a 2  18a  35
23.
3 
 , 1
2 
12.
 36 x 10  57 x 5  15
24.
2
3
 2
x 4x
2,  1
1
x2