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Some Review for the Final Test - Math Accelerated

Total questions: 158

Worksheet time: 8hrs 54mins

Name
Class
Date
1.

Translate into an expression:

two more than three times x

a)

3x – 2

b)

2x – 3

c)

3x + 2

d)

2x + 3

2.

Choose the algebraic expression that matches the verbal phrase.

a)
b)
c)
d)
3.

Solve: 10×8+52÷4Solve:\ 10\times8+52\div4  

a)

93

b)

150

c)

25

d)

125

4.
Solve the following:
-2 x (3 + 8 ÷ 4)2
a)
-16
b)
1.375
c)
4
d)
-50
5.

Evaluate: 10 - (3h + 2) for h = 3

6.

Evaluate: 12 + 7(-2h - 3) for h = -3

7.

What property is shown?

3+4+5=4+3+5

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Identity Property of Addition

d)

Distributive Property

8.
Name the property showed by the following statement.
3(2a - 3) = 6a - 9
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
d)
Multiplication Property of One (Identity)
9.
Name the property showed by the following statement.
a(bc) = (ab)c
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
d)
Multiplication Property of One (Identity)
10.

A set of ordered pairs is called what?

a)

the domain

b)

a relation

c)

a function

d)

the range

11.

What is the range of the mapping?

a)

{1, 2, 4}

b)

{0, 1, 2, 3}

c)

{0, 3}

d)

{1, 4}

12.

What is the domain of the relation shown in the table?

a)

{12}

b)

{6, 18}

c)

{3, 9, 15, 16}

d)

{13}

13.
What is the ordered pair of point E?
a)
(2,5)
b)
(5,2)
c)
(-5,2)
d)
(5,-2)
14.
What is the value of the missing output?
a)
8
b)
6
c)
4
d)
12
15.
a loss of 9 pounds
a)
9
b)
-9
16.
Jim withdraws $100
a)
100
b)
- 100
17.

|15|

a)

15

b)

-15

c)

0

d)

14

18.

-|18|

a)

18

b)

-18

c)

17

d)

-17

19.

|16| - |-5|

a)

21

b)

-21

c)

11

d)

-11

20.

Which expression does not equal zero?

a)

−52 + 52

b)

12 + (−12)

c)

6 − (−6)

d)

−83 − (−83)

21.

−62 (−25) =

a)

-87

b)

-37

c)

37

d)

87

22.

Another name for Mean is...

a)

Median

b)

Average

c)

Mode

23.

Find the mean:

12, 15, 18, 13, 6, 14

a)

6

b)

33

c)

13

d)

78

24.

Convert 25\frac{2}{5}  to a decimal.

(a)  

25.

Convert to a decimal.

116\frac{1}{16}  



(a)  

26.

Write the mixed number as an improper fraction

5 6/7

(a)  

27.

Select all: Natural Numbers

a)

4.5

b)

5

c)

-2

d)

0

e)

7,652

28.

Select all: Integers

a)

4.2

b)

4

c)

-4.2

d)

4/3

e)

-2

29.

Select all: Which categories does the number 3.7 belong to?

a)

Real numbers

b)

Rational numbers

c)

Integers

d)

Whole numbers

e)

Natural numbers

30.

Write your answer in simplest form. 

23 × (54)\frac{2}{3}\ \times\ \left(\frac{-5}{4}\right)  

a)

-10/12

b)

-5/6

c)

-1/3

d)

5/6

31.

14÷49\frac{-1}{4}\div\frac{-4}{9}  

a)

179-1\frac{7}{9}  

b)

1791\frac{7}{9}  

c)

916\frac{-9}{16}  

d)

916\frac{9}{16}  

32.

What is the reciprocal of 78\frac{7}{8}  ?

a)

1

b)

1416\frac{14}{16}  

c)

87\frac{8}{7}

d)

78\frac{7}{8}

33.

What is the reciprocal of  2 142\ \frac{1}{4}  ?

a)

94\frac{9}{4}

b)

49\frac{4}{9}  

c)

2 412\ \frac{4}{1}  

d)

4 124\ \frac{1}{2}

34.

312-3\frac{1}{2} -  213\ 2\frac{1}{3} =

a)

-5 5/6

b)

-1 3/4

c)

-4 1/2

d)

-6 2/5

35.

4124\frac{1}{2} - (213)\left(-2\frac{1}{3}\right) =

a)

6 5/6

b)

2 1/3

c)

3 3/4

d)

5 2/5

36.

(12)2\left(\frac{1}{2}\right)^2

(a)  

37.

262^6

(a)  

38.
How many 38 pound bags of candy can be made from 6 38 pounds of candy?
a)
14 bags
b)
17 bags
c)
13 bags
d)
18 bags
39.

Sheryl, Jesus, and Adela bought 16\frac{1}{6} lb of raspberries to share equally. Which equations shows how many pounds of raspberries will each person receive? 

a)

16÷2=112\frac{1}{6}\div2=\frac{1}{12}  

b)

2÷16=122\div\frac{1}{6}=12  

c)

16÷3=118\frac{1}{6}\div3=\frac{1}{18}  

d)

3÷16=183\div\frac{1}{6}=18  

40.

A furniture maker used 1 1/2 cans of paint to paint some chairs. She used 1/4 of a can on each chair. How many chairs did she paint? ​ (a)  

Choose from the below words
6 Chairs
12 chairs
24 chairs
2 chairs
41.
The Williams family bought four concert tickets for $252.  What was the price per ticket?
a)
$60.00
b)
$63.00
c)
$6.30
d)
$62.00
42.

Find the unit price of each and choose the better buy.

A) $8.60 for a 10-pack of batteries = $​ ​ (a)   per quart

B) $9.84 for a 12-pack of batteries = $​ (b)   per quart

The better buy is ​ ​ (c)   .

Choose from the below words
0.82
B
0.85
0.90
A
0.86
43.
Which is the better deal?
Doritos
$4.39 for 11.5 oz
OR
Cheetos
$2.24 for 9.75 oz
a)
Doritos
b)
Cheetos
44.
Which best describes the graph represented in this table?
a)
 proportional
b)
non-proportional
45.

Identify the constant of proportionality.

a)

k = 2x

b)

k = 2

c)

k = 4

d)

none (not proportional)

46.
What is the Constant of Proportionality?
a)
46
b)
92
c)
0.2
d)
not proportional
47.

Identify the constant of proportionality.

a)

k = 5

b)

k = 1/5

c)

k = 1

d)

k = 2.5

e)

none (not proportional)

48.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
49.

Does the table show a proportional relationship?

a)

No

b)

Yes

50.

What is the correct way to find the constant of proportionality?

a)

xy\frac{x}{y}

b)

yx\frac{y}{x}

51.

The table represents the price of McDonald's Value Meals. What is the constant of proportionality?

a)

5.25

b)

10.50

c)

5

d)

2

52.

Solve the proportion

(a)  

53.

Solve:

(a)  

54.

Find the missing side

a)

1/3

b)

3

c)

1/2

d)

2

55.

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree’s shadow is 32 feet long. What is the height of the tree?

a)

20 feet

b)

24 feet

c)

29 feet

d)

51 feet

56.
How long is side x?
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
57.
Find the measure of the missing angle.
a)
8o
b)
58o
c)
122o
d)
64o
58.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
59.

What is 50% of 88?

a)

58

b)

46

c)

42

d)

44

60.

Fill in the blank. 70% of 30=​​ (a)  

Choose from the below words
21
10
2100
2.1
210
61.

What is 75% of $8.00?

a)

6

b)

56.8

c)

83

d)

88

62.

What is 35% of 90?

a)

31.5

b)

30.5

c)

35

d)

50

63.

45 is 30% of what number?

a)

200

b)

150

c)

140

d)

100

64.
Bill:  $11
Percentage of Tip:  20%
Tip: ????
a)
$1.10
b)
$1.65
c)
$2.20
d)
$3.00
65.
Bill:  $8.50
Percentage of Tip:  20%
Tip: ????
a)
$3.00
b)
$1.70
c)
$2.00
d)
$4.00
66.
Bill:  $20
Percentage of Tip: 15%
Tip: ????
a)
$3.00
b)
$4.00
c)
$5.00
d)
$6.00
67.
Zed went to the store and bought a bag of chips.  He estimated there would be 350 chips in the package, but realized there were only 210 chips in that package.  What was his percent error?
a)
35%
b)
67%
c)
85%
d)
92%
68.
The deer population is estimated to be 17,600 in northern Illinois, but an actual count was 21,300. What is the percent error?
a)
21%
b)
17.37%
c)
17.4%
d)
21.02%
69.
The students measured length during a science experiement, they got 12 cm. But the actual measurement was 14.25 cm. What was the percent error?
a)
15.79%
b)
18.75%
c)
2.25%
d)
18%
70.
The attendance for the basketball game was estimated to be 15,000 people but 12,500 people attended. What was the percent error?
a)
16.67%
b)
20%
c)
2500%
d)
80%
71.

1. Find the PERCENT of change.

20 dogs to 5 dogs

a)

Decrease 15%

b)

Increase 15%

c)

Increase 75%

d)

Decrease 75%

72.

2. Find the PERCENT of Change.

The original cost was $50 and the new cost is $60.

a)

Increase 20%

b)

Increase 16.67%

c)

Increase $10

d)

Decrease $10

73.

3. Find the percent of change if Eddie started with 20 tickets and ended with 30 tickets.

a)

Increase 10 tickets

b)

Increase 50%

c)

Increase 33%

d)

Decrease 50%

74.
Starting money = $350.
Interest rate = 2.5%
TIme = 3 years.
How much interest?
a)
$7.50
b)
$26.25
c)
$87.5
d)
$262.50
75.
Ann puts $300 in a bank account earning 4% interest.  How much will she earn in interest in 1 year?
a)
4
b)
8
c)
12
d)
16
76.
Jerry borrowed $4,000 for 5 years at 6% simple interest rate. How much interest is that?
a)
$800
b)
$1,000
c)
$1,200
d)
$1,500
77.
Sam bought an $85.00 jacket for 40% off of the regular price.  How much did he pay for the jacket? 
a)

$75

b)

$51

c)

$36

78.

The grocery store has a dozen cupcakes for $22. You have a loyal customer card that gives you 20% off. What do you end up paying for the cupcakes?

a)

$17.00

b)

$17.60

c)

$4.40

79.

Mrs. Walker is planning to buy a new sofa as soon as it goes on sale. The regular price for the sofa is $899.95. She will receive a 40% discount. How much will Mrs. Walker pay for the sofa?

a)

$539.97

b)

$550.97

c)

$565.97

80.

The following expression contains how many terms?

3x+y25x-3x+y-2-5x  

a)

2

b)

3

c)

4

d)

5

81.

In the following expression, what are the variable terms:

2x3+6y12x-3+6y-1  

a)

2x

b)

-3

c)

6y

d)

-1

82.

Which of the following are coefficients in this problem?

25a+16b2-2-5a+1-6b^2  

a)

-2

b)

-5

c)

1

d)

-6

83.

What are the constants in the following problem?

2b2+16a+4.22b^2+1-6a+4.2  

a)

2

b)

1

c)

-6

d)

4.2

84.

Simplify this expression by combining the like-terms:

2x+74x2x+7-4x  

a)

5x5x  

b)

2x-2x  

c)

2x+7-2x+7  

d)

13x-13x  

85.

Simplify the expression by combining like-terms:

3y+1+9y4-3y+1+9y-4  

a)

3y3y  

b)

6y36y-3  

c)

12y+312y+3  

86.

Combining like terms:

2a+3b5b+7a2a+3b-5b+7a

a)

7a9b7a-9b

b)

9a2b9a-2b

c)

6a+2b6a+2b

d)

8ab8a-b

87.
2x = x + 3
a)
6
b)
3
c)
2
d)
x
88.
10x + 9 = 4x - 9
a)
0
b)
3
c)
-3
d)
-18
89.

8x - 8 = -4x + 16

a)

8

b)

16

c)

24

d)

2

90.
Solve the equation
4x - 5x + 9 =5x - 9
a)
x = -3
b)
x = 9
c)
x = 3
d)
x = -9
91.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
92.
Find y.
a)
50
b)
130
93.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
94.

Identify each pair of angles.

a)

vertical

b)

corresponding

c)

alternate exterior

d)

alternate interior

95.

Identify each pair of angles.

a)

vertical

b)

corresponding

c)

alternate exterior

d)

alternate interior

96.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
97.

11) Given the two parallel lines cut by a transversal,

What is the measure of 4\angle4  if  m8=76°m\angle8=76\degree  ?



(a)  

98.
Solve for angle 5
a)
65
b)
60
c)
110
d)
115
99.

5) True or False.

If the following parallel lines are cut by a transversal, would 
2\angle2  and  6\angle6   be corresponding?

a)

True

b)

False

100.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
101.
Find the missing angle.
a)
29° 
b)
39° 
c)
49° 
d)
59° 
102.

Find the measure of each angle indicated.

a)

38

b)

47

c)

40

d)

70

103.

In the figure above, what is the value of ∠B?

a)

60o

b)

20o

c)

100o

d)

120o

104.

What type of triangle is shown?

a)

Isosceles

b)

Right

c)

Equilateral

d)

Scalene

105.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

106.

What Type of Triangle is this?

a)

Equilateral triangle

b)

Obtuse Triangle

c)

Acute Triangle

107.

Using what you know about vertical angles, Find the measure of angle a.

a)

34°34\degree  

b)

143°143\degree  

c)

37°37\degree  

d)

72°72\degree  

108.

Find the measure of angle F

a)

A

b)

B

c)

C

d)

D

109.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
110.

Find the value of x.

a)

110

b)

90

c)

130

d)

120

111.
The sum of the interior angles in a polygon is 3,240o.  How many sides are in the polygon?
a)
10
b)
582,840
c)
18
d)
20
112.
What is the sum of the interior angles of the hexagon shown?
a)
180° 
b)
540° 
c)
720° 
d)
1080° 
113.
What is the sum of the interior angles of the nonagon shown?
a)
720° 
b)
900° 
c)
1080° 
d)
1260° 
114.

What is a regular polygon?

a)

all side lengths are the same length

b)

all angles are the same (equal in measure)

c)

only some side lengths are the same

d)

all side lengths are different

e)

only some angles are the same

115.
What is the measure of ONE interior angle in a regular hexagon (6 sides)?
a)
60°
b)
80°
c)
108°
d)
120°
116.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
117.
If the sum of the interior angles of a polygon equals 900°, how many sides does the polygon have? 
a)
7
b)
9
c)
10
d)
12
118.

What is Point A (3, 5) reflected over the x-axis?

a)

A'(3, -5)

b)

A'(3, 5)

c)

A'(-3, 5)

d)

A'(-3, -5)

119.

In the picture, what axis is the shape reflected over?

a)

x-axis

b)

y-axis

c)

both axes

120.

In the picture, if the trapezoid was reflected over both axes, what quadrant would it be in?

a)

QI

b)

QII

c)

QIII

d)

QIV

121.

Reflect point A over the x-axis. What is A'?

a)

A'(3, -4)

b)

A'(3, 4)

c)

A' (-3, -4)

d)

A' (0,0)

122.

What is point C reflected over the y-axis?

a)

C'(4,2)

b)

C'(2, -4)

c)

C'(-2, -4)

d)

C'(-4, 2)

123.

Reflect square ABCD over the y-axis. What are the ordered pairs for A'B'C'D'?

a)

A'(-2, 2) B'(-5, 2) C'(-5, 5) D'(-2, 5)

b)

A'(2,2) B'(5,2) C'(5,5) D'(2,5)

124.

Which two directions can a figure be rotated on a coordinate plane?

a)

counterclockwise

b)

90°

c)

clockwise

d)

90°, 180°, 270°, 360°

125.

Which algebraic representation represents the transformation when a figure is rotated 90° clockwise?

a)

(x, y) --> (-x, -y)

b)

(x, y) --> (y, -x)

c)

(x, y) --> (-y, x)

d)

(x, y) --> (x, y)

126.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
127.

If you were to rotate ABCD 180° about the origin, what would the coordinates of C' be?

a)
(0, 0)
b)

(1, -3)

c)

(-1, 3)

d)

(-1, -3)

128.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
129.

When reflecting over the y-axis, the ​ (a)   stays the same and the ​ (b)   becomes opposite.

Choose from the below words
y
x
130.

When reflecting over the x-axis, the ​ ​ (a)   stays the same and the ​ (b)   becomes opposite.

Choose from the below words
y
x
131.

We use adding and subtraction to show the changes in figures in what type of transformation?

a)

Translations

b)

Reflections

c)

Rotations

d)

Dilations

132.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

90o counter clockwise rotation

133.

How is Quadrilateral EFGH translated to E'F'G'H'?

a)

(x, y)>(x, y6)\left(x,\ y\right)->\left(x,\ y-6\right)

b)

(x, y)>(x+1, y6)\left(x,\ y\right)->\left(x+1,\ y-6\right)

c)

(x, y)>(x3, y6)\left(x,\ y\right)->\left(x-3,\ y-6\right)

d)

(x, y)>(x+1, y8)\left(x,\ y\right)->\left(x+1,\ y-8\right)

134.

12 inches in this circle represents its

a)

radius

b)

diameter

135.

14cm in the circle represents its

a)

radius

b)

diameter

136.

What is the length of the diameter of the circle?

(a)  

137.

Find the circumference of the circle

a)

18.84 cm

b)

75.36 cm

c)

37.68 cm

138.

Find the circumference of the circle whose radius is 4 in

a)

12.56 in

b)

25.12 in

c)

50.24 in

139.

Find the circumference of the circle whose diameter is 10 m

a)

31.4 m

b)

62.8 m

c)

15.7 m

140.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
141.
What is the area of this circle?
a)
62.59 cm2
b)
113.1 cm2
c)
19.81 cm2
d)
28.26 cm2
142.
What is the area of this circle?
d = 8cm
a)
16π
b)
c)
d)
36π
143.
What is the volume of this prism?
a)
16 cubic cm
b)
12 cubic cm
c)
48 cubic cm
144.
What is the volume of this prism?
a)
2 cubic in
b)
12 cubic in
c)
13 cubic in
145.
What is the volume of this prism?
a)
24 cubic cm
b)
240 cubic cm
c)
60 cubic cm
146.
What is the surface area of this figure?
a)
3000 cm 2
b)
164 cm 2
c)
236 cm 2
d)
328 cm 2
147.
How many total faces does this shape have? (hint: include the ones you don't see!)
a)
3
b)
5
c)
1
d)
6
148.
Find the surface area of the rectangular prism.
a)
140 in.2
b)
83 in.2
c)
166 in. 2
d)
100 in.2
149.
What is surface area?
a)
The measure of the amount of space inside of a solid figure
b)
The sum of all the areas of all the shapes that cover the object
150.

Find the area of triangular base from the following prism.

a)

77 m2

b)

84 m2

c)

77 m3

d)

84 m3

151.

Calculate the volume of the following triangular prism.

a)

210 cm3

b)

480 cm3

c)

280 cm3

d)

560 cm3

152.

If the area of the base for the following triangular prism is 30 m2, what is the volume of the prism?

a)

180 m3

b)

360 m3

c)

720 m3

153.

What is the Greatest Common Factor of 12 and 18?

a)

1

b)

3

c)

6

d)

8

154.

What is the GCF of 12 and 30?

a)

2

b)

4

c)

6

d)

8

e)

12

155.
What is the GCF of 20 and 30?
a)
5
b)
2
c)
10
d)
20
156.

What is the LCM of 18 and 20?

a)

2

b)

10

c)

90

d)

180

157.

What is the LCM of 6 and 16

a)

2

b)

48

c)

24

d)

8

158.

BONUS: What is the LCM of 4,8, and 28?

a)

4

b)

56

c)

14

d)

28