1.
Solve the equation |
a
- 1| = 7.
A.
-6
B.
-8 or 6
C.
-6 or 8
D.
8
Hint
2.
To play a game, you have a spinner with four equal-sized regions. One region is yellow, one is blue, one is green, and one is white. How many outcomes are possible when you spin the spinner twice?
A.
8
B.
16
C.
4
D.
12
Hint
3.
How many of the outcomes when tossing a coin three times include at least one tail?
A.
6
B.
8
C.
5
D.
7
Hint
4.
Which mathematical statement is not an example of the Division Property of Equality?
A.
B.
C.
D.
Hint
5.
Two rectangles are drawn. The scale of the smaller to the larger is 2:3. The side lengths of the smaller rectangle are 4 inches and 5 inches. What is the ratio of the area of the smaller rectangle to the area of the larger rectangle?
A.
4:5
B.
4:9
C.
2:5
D.
2:3
Hint
6.
The expression 5 can be written using exponents as _____.
A.
5
0
B.
5
1
C.
1(5)
D.
1
5
Hint
7.
Refer to the diagram below. What polynomial is modeled by the algebra tiles?
A.
-3
x
2
+ 2
x
+ 1
B.
-2
x
2
- 3
x
- 1
C.
3
x
2
- 2
x
- 1
D.
-2
x
2
+ 3
x
+ 1
Hint
8.
Find the product (6 + 3
b
)(6 – 3
b
).
A.
36 + 36
b
+ 9
b
2
B.
36 - 9
b
2
C.
36 + 9
b
2
D.
36 + 36
b
- 9
b
2
Hint
9.
Ilias wants to build a square pond for a fountain in his yard. He wants the area of the square to be as close as possible to 150 square feet, but not over 150 square feet. Find the length in whole feet of the largest square pond that he can build and still have the area be less than 150 square feet.
A.
13 feet
B.
12 feet
C.
11.5 feet
D.
11 feet
Hint
10.
Select the correct factorization.
A.
66
ax
3
= 2 · 33 ·
a
·
x
·
x
B.
52
b
2
c
= 2 · 2 · 13 ·
b
·
b
·
c
C.
57
axy
2
= 57 ·
a
·
x
·
y
·
y
·
y
D.
–49
z
3
b
2
= –1 · 7 · 7 ·
z
·
z
·
b
·
b
Hint
11.
Solve 6 - 5
x
< 11.
A.
x
> 1
B.
C.
x
< -1
D.
x
> -1
Hint
12.
Leon wants to build herself a bookshelf. She draws a scale drawing of the bookshelf, shown below. What will the height of the actual bookshelf be if the scale of the drawing is 1 cm = 2 ft?
A.
2.1 ft
B.
8.4 ft
C.
9.8 ft
D.
3.2 ft
Hint
13.
If two events can occur at the same time, the events are called ______.
A.
exclusive
B.
mutually inclusive
C.
mutually exclusive
D.
inclusive
Hint
14.
Simplify the expression
.
A.
m
21
B.
m
1.625
C.
m
5
D.
m
-5
Hint
15.
Simplify the expression
.
A.
14
B.
12
C.
8
D.
20
Hint
16.
Solve the equation -6
x
2
–
x
= 3(-1 – 2
x
2
) + 8.
A.
x
2
= 5
B.
x
= 5
C.
x
= -5
D.
x
2
= -5
Hint
17.
Solve the equation 2(4 + 2
a
) – 2
a
= 8(3 – 2
a
) + 2.
A.
a
= 2
B.
a
= -2
C.
a
= 3
D.
a
= 1
Hint
18.
Which factor tree best represents 468?
A.
B.
C.
D.
Hint
19.
Find the value of
c
that makes
x
2
– 18 +
c
a perfect square.
A.
3
B.
-81
C.
81
D.
-3
Hint
20.
Solve -2
x
+ 5
7 or 3
x
– 1
11.
A.
x
4 or
x
-1
B.
x
4
C.
no solution
D.
x
-1
Hint