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PRE-ALGEBRA FINAL EXAM SUPER REVIEW

Total questions: 92

Worksheet time: 6hrs 25mins

Name
Class
Date
1.
-3(x + 4) + 6x
a)
3x - 4
b)
3x + 4
c)
-3x + 12
d)
3x - 12
2.
-3(x - 2) + 8(2x + 1) 
a)
13x + 14
b)
13x + 2
c)
13x - 2 
d)
7x + 14
3.
21-8(w+3)+3+7w
a)
w
b)
-w
c)
3w
d)
-4w
4.

Solve for x.

a)

A

b)

B

c)

C

d)

D

5.

Solve for x.

a)

A

b)

B

c)

C

d)

D

6.

Find the measure of the angle indicated in bold.

a)

A

b)

B

c)

C

d)

D

7.
16 - 4a > 8
a)
a<-2
b)
a>-2
c)
a<2
d)
a>2
8.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
9.
2- 3x ≤ 20
a)
x  ≥ -6
b)
x ≤ -6
c)
x ≤ -7
d)
x  ≥ -7
10.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
11.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
12.
What is the equation of this line in slope-intercept form?
a)
y = 2x + 5
b)
y = -2x + 5
c)
y = -2x
d)
y = 5
13.

Cora loves to wear socks with crazy patterns. She finds a great deal for these kinds of socks at her favorite store, Rock Those Socks. Cora can buy 5 pairs of socks for $5. She can buy 7pairs for $7.


In this relationship, x represents the number of pairs of socks that Cora buys, and y represents the total cost (in dollars).


Is this a proportional relationship?

a)

Yes. The constant of proportionality is 5.

b)

No. It does not go through the origin.

c)

Yes. The constant of proportionality is 1.

d)

No. The graph is not a straight line.

14.

Kurt's grandparents get him a puppy for his 13th birthday, and he names the puppy Bailey. Kurt does a good job taking care of Bailey, and she's growing so fast! When Bailey is 1 month old, she weighs 3 pounds. When she is 3 months old, she weighs 7 pounds.


What is the constant of proportionality?

a)

Yes. The constant of proportionality is 3.

b)

No. The graph does not go through the origin.

c)

Yes. The constant of proportionality is 7.

d)

No. The graph is not a straight line.

15.

As a young girl, Lindsey enjoyed watching her father make things in his woodworking shop. Now that she's grown up, Lindsey builds wooden furniture for a living. Her most popular product is a cedar porch swing. It takes Lindsey 3 days to build 2 swings. It takes her 9 days to build 6 swings.


Is this situation proportional?

a)

Yes. The constant of proportionality is 3.

b)

No. The line does not go through the origin.

c)

Yes. The constant of proportionality is 2/3.

d)

No. The graph is not a straight line.

16.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
17.
6x5y2 / 2x4y2
a)
3xy
b)
4x
c)
3x
d)
4xy
18.
Simplify:
(12x5y4/16x2y6)2
Note: / is divide--rewrite first part over the second part to view easier
a)
9x9/16y4
b)
144x10y8/256x4y12
c)
3x6/4y4
d)
9x6/16y4
19.

$13 is what percent of $52 ?

a)

25 %

b)

$ 25

c)

4 %

d)

$ 4

20.

What is 4% of $6,800 ?

a)

$ 272

b)

2.72 %

c)

2720 %

d)

$ 27, 200

21.

12 is 80% of what number?

a)

.15

b)

15

c)

6.67

d)

.07

22.
Find the measure of the indicated angle. 
a)
180
b)
70
c)
54
d)
56
23.
Find the measure of the indicated angle. 
a)
145
b)
113
c)
102
d)
78
24.
Find the measure of angle x.
a)
138
b)
96
c)
93
d)
87
25.
Find the volume:
a)
960 cm 3
b)
240 cm 3
c)
960 cm 2
d)
1920 cm 3
26.
Calculate the volume:
a)
1120 ft 3 
b)
600 ft 3
c)
560 ft 3
d)
64 ft 3
27.
A triangular prism has a volume of 400 cubic cm and a base area of 25 square cm. What is the height of the prism?
a)
10,000 cm
b)
5,000 cm
c)
8 cm
d)
16 cm
28.
Which box and whisker plot has the smallest lower quartile (Q1)?
a)
Top plot
b)
Bottom plot
29.
Which plot has a larger interquartile range?
a)
Top plot
b)
Bottom plot
30.
Which box and whisker plot has the highest median?
a)
Top plot
b)
Bottom plot
31.
Which box and whisker plot shows more "spread out" data?
a)
Top plot
b)
Bottom plot
32.
A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 
a)
2/3
b)
5/36
c)
1/9
d)
1/36
33.
Sarah has two spinners.  Spinner A has six equal sections and spinner B has eight equal sections. Sarah will spin the two spinners at the same time.  What is the probability that both spinners will land on a color that is not red?
a)
1/6
b)
7/6
c)
4/7
d)
1/3
34.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 
a)
1/12
b)
1/4
c)
1/8
d)
1/2
35.
The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value? 
a)
15x + 2.5 = 10x + 3
b)
15 - 2.5x = 10 - 3x
c)
15 + 2.5x = 10 + 3x
d)
15 - 10 = 2.5x + 3x
36.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
37.
Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies? 
a)
2 miles 
b)
4 miles
c)
.50 mile
d)
-4 miles 
38.
a)
-4
b)
8
c)
-2
d)
-8
39.
a)
18
b)
-18
c)
27
d)
-27
40.
Solve   2y - 4 = -10
a)
y = -7
b)
y = 3
c)
y = -3
d)
y = 7
41.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
42.
Solve  12 - 6y = 24
a)
-1
b)
-2
c)
-3
d)
-4
43.
Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.
a)
.50x + 20 = 35
b)
.50x = 35
c)
.50 + 20x = 35 
d)
.50x - 20 = 35
44.
Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.
a)
11x + 6 = 39
b)
11x - 6 = 39
c)
11 + 6x = 39
d)
66x = 39
45.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
46.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
47.
5(x - 3) + 2x = 27
a)
3
b)
42/15
c)
30/7
d)
6
48.
8-3a+12=2a
a)
a = 4
b)
a = 1
c)
a = 3
d)
a = 5
49.
10x + 9 = 4x - 9
a)
0
b)
3
c)
-3
d)
-18
50.
7x = 3x + 24
a)
6
b)
10
c)
14
d)
4
51.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
52.
28 − k ≥ 7(k − 4)
a)
k ≥ -7
b)
k ≤ -7
c)
k ≥ 7
d)
k ≤ 7
53.

Simplify:

(5ab2)2

a)

25a2b4

b)

10a2b4

c)

5a2b4

d)

25ab2

54.
Simplify: (3x2)3
a)
27x6
b)
9x6
c)
3x6
d)
9x5
55.
Simplify:
(5ab2)2
a)
25a2b4
b)
10a2b4
c)
5a2b4
d)
25ab2
56.
6m3n3 * 8m2n3
a)
48m5n9
b)
48m6n6
c)
48m5n6
d)
none of the above
57.
Simplify (-5a-3)(3a6b)
a)
-15a3b
b)
-15a9b
c)
45ab2
d)
-45a9b2
58.

Simplify. Express using exponents.

a)

12x6y4

b)

12x10y6

c)

22x10y6

d)

22x6y6

59.

Simplify:

a)

9a6

b)

9a5

c)

64a6

d)

6a5

60.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
61.

How would you write 0.0005 in scientific notation?

a)

50 x 10-5

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

62.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
63.
Express the following in scientific notation:
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
64.
Sasha can mow 3/8 of an acre of grass in 3/4 an hour. How many acres of grass does Sasha mow per hour?
a)
2  ac./hr.
b)
1/2  ac./hr.
c)
9/24  ac./hr.
65.
If a snail can move 3/10 of a meter every 1/12 hour, what is the speed of the snail, in meters per hour?
a)
1/40
b)
5/18
c)
1 1/2
d)
3 3/5
66.
Which of the following rates of change represents the graph shown?
a)
2 boys for every 1 girl
b)
0.5 boys for every 1 girl
c)
6 boys for every 1 girl
d)
3 boys for every 1 girl
67.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
68.
Emilio borrows $1200 from a bank with 8% simple interest per year.  How much will he have to pay back total in 2 years?
a)
$150
b)
$192
c)
$1350
d)
$1392
69.
Maria borrowed $3,000 at a simple interest rate of 4% per year.  How much did she have to repay after 4 years?
a)
$480
b)
$3,480
c)
$4,800
d)
$7,800
70.
The Polar Express movie is $13 and it will be on sale for $9.What is the percent of change if the cost decreased $4?
a)
15%
b)
31%
c)
10%
d)
32%
71.
Last year, 2,376 people attended a summer music festival. This year, attendance was 2,950. What was the percent of change in attendance to the nearest whole percent?
a)
Increase 24%
b)
Increase 19%
c)
Decrease 24%
d)
Decrease 19%
72.
Susie got a raise.  She was making $8.75 an hour.  Now she is making $9.50.  What is the percent of change?
a)
6% Increase
b)
7% Increase
c)
8% Increase
d)
9% Increase
73.
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
a)
2/11
b)
13/2
c)
3/10
d)
11/2
74.
Find the slope of the line that passes through:
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
75.
Find the slope of the line that passes through:
(-12, -5) and (0, -8)
a)
1/4
b)
-1/4
c)
4
d)
-4
76.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
77.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
78.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
79.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
80.
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
a)
S'(3, 7)
b)
S'(-3, 7)
c)
S'(-3, -7)
d)
S'(3, 7)
81.
Triangle ABC has vertices A(5,2).  Find the coordinates of ABC after a reflection over the x-axis.
a)
A’(5, -2)
b)
A’(-5, -2)
c)
A’(-5, -2)
d)
A'(5,2)
82.

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

a)

6 cm

b)

486 cm

c)

9 cm

d)

54 cm

83.
A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?
a)
9ft x 10ft
b)
1ft x 2ft
c)
12ft x 6ft
d)
18ft x 20ft
84.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
85.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
86.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
87.
Find the surface area of the rectangular prism.
a)
140 in.2
b)
83 in.2
c)
166 in. 2
d)
100 in.2
88.
What is the surface area of this figure?
a)
3000 cm 2
b)
164 cm 2
c)
236 cm 2
d)
328 cm 2
89.
Find the volume of the right cylinder?
a)
6516 units3
b)
2276 units3
c)
1693 units3
d)
9923 units3
90.
A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 50% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?
a)
27,143.36 ft3
b)
3392.92 ft3
c)
13,571.68 ft3
d)
6,785.84 ft3
91.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
5572.45 cm3
b)
506.59 cm3
c)
126.65 cm3
d)
1393.11 cm3
92.
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

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