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Unit 2 Practice Test

Total questions: 34

Worksheet time: 9hrs 30mins

Name
Class
Date
1.
5 = 7s - 9
a)
2
b)
6
c)
7
d)
8
2.
-30 - 5x = 120
a)
x = 18
b)
x = -18
c)
x = 30
d)
x = -30
3.
Which equation has x = 2 as a solution?
a)
3 + x = 10
b)
11 + x = 13
c)
4x = 32
d)
5x =25
4.

Solve for x: 4 (1 - x) + 3x = -2 (x + 1)

a)
x = -6
b)
x = 6
c)
x = 3
5.
a)

x = 13

b)

x = -13

c)

x = 12

d)

x = -15

6.

Solve:

35k110k+1=12k+1\frac{3}{5}k-\frac{1}{10}k+1=\frac{1}{2}k+1  

a)

All real numbers

b)

No solution

c)

0

d)

2

7.

6(4y + 12) = 8(3y - 14)

a)

All real numbers

b)

No solution

c)

40

d)

-184

8.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-5,1}

c)

{-5,5}

d)

No Solution

9.
-|−2r − 1| = 11
a)
{-6,5}
b)
{5,-6}
c)
-6
d)
No Solution
10.
What are the solutions to 2(x−7)= 32 ?
a)
7±√32
b)
±√65
c)
3 and 11
d)
-1 and 15
11.
Solve using square roots.
5b2 - 4 = 41
a)
b = 9, b = -9
b)
b = 3, b = -3
c)
b = 8, b = -8
d)
no solution
12.
a)

2

b)

-2

c)

4

d)

-4

13.
a)

-7

b)

7

c)

5

d)

-6

14.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
179.50 cm3
b)
205.15 cm3
c)
51.29 cm3
d)
1436.03 cm3
15.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
12.56 ft3
b)
37.68 ft3
c)
18.84 ft3
d)
6.28 ft3
16.
 Find the volume of the solid shown in the figure?
a)
7230
b)
6621
c)
1130
d)
907
17.

If the diameter of a circle is 16 inches, what is the radius?

a)

16 in16\ in

b)

4 in4\ in

c)

8 in8\ in

d)

32 in32\ in

18.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
19.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
20.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
21.
What is the distance between (2,9) and (1,5)?
a)
15
b)
17
c)
4.12
d)
3.87
22.

Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).

a)

(1, 3)

b)

(3.5, -.5)

c)

(-.5, 3.5)

d)

(6, -.5)

23.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
24.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

25.

What is the error?

a)

Adding 2x to 3x

b)

Subtracting 5 from both sides

c)

Adding 2x to -2x

d)

Dividing by 5 on both sides

26.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
27.
Write the phrase as an expression.
twice a number x plus 8 is greater than 12
a)
2 + 8x < 12
b)
2x + 8 > 12
c)
2(x+8) ≠ 12
d)
8(2+x) 
28.
x + 8 < 3 or - 8x < -40 
a)
x > -5 or x < 5
b)
x < -5 and x > 5
c)
x < -5 or x > 5 
d)
x > -5 and x < 5 
29.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
30.
|b-8|+10>22
a)
-4<b<20
b)
b<-4 or b>20
c)
20<b<-4
d)
b=-4 or b=20
31.

Solve.

|d + ⅔| + ¾ < 0

a)

no solution

b)

d > -9 and d < ½

c)

d > -¾ and d < 9

d)

d < -1/12 and d > -7/12

32.

Solve.

3|2d + 9| + 13 > 10

a)

d > 5 or d < -1

b)

d < -4 or d > 5

c)

No Solution

d)

All real numbers

33.

Monica wants to spend at most $40 at the county fair. Entrance to the fair costs $15. She can spend d dollars on other things at the fair. Which inequality can be used to find the possible values of d?

a)

d − 15 > 40

b)

d − 15 < 40

c)

d + 15 ≥ 40

d)

d + 15 ≤ 40

34.

1. Which situation is best represented by the following equation?

45w + 123.95 = 753.95

a)

Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

b)

Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes?

c)

Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

d)

Erica paid $753.95 for dance classes. She paid a $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes?