Free Printable 1st Semester Exam Review

1.

What is the formula for scale factor?

a)

$\frac{new}{old}$

b)

$\frac{old}{new}$

2.

How do you write the algebraic notation when the scale factor is 3?

a)

(x, y) goes to (1/3x, 1/3y)

b)

(x, y) goes to (-3x, -3y)

c)

(x, y) goes to (x + 3, y + 3)

d)

(x, y) goes to (3x, 3y)

3.

Dilate the figure by a scale factor of 3. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

4.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

5.

Triangle ABC will be dilated by a scale factor of 1/2. What will be the coordinates of C'?

a)

(-1, -2.5)

b)

(12, 6)

c)

(3, -1.5)

d)

(0, 1.5)

6.

Enlargement or reduction? Find the scale factor!

a)

It's a reduction; the scale factor is 2.

b)

It's an enlargement; the scale factor is 2.

c)

It's an enlargement; the scale factor is 1/2.

d)

It's a reduction; the scale factor is 1/2.

7.

Enlargement or reduction? Find the scale factor!

a)

It's an enlargement; the scale factor is 1/2.

b)

It's an enlargement; the scale factor is 2.

c)

It's a reduction; the scale factor is 1/2.

d)

It's a reduction; the scale factor is 2.

8.

Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD.

Which algebraic representation shows this dilation?

a)

(x, y) --> (2x, 2y)

b)

(x, y) --> (0.5x, 0.5y)

c)

(2x, 2y) --> (x, y)

d)

(x, y) --> (3x, 2y)

9.

A ~ B. What is the scale factor of the dilation of A to B?

a)

$\frac{4}{3}$

b)

$\frac{3}{4}$

c)

3

d)

4

10.

Does the image show a Dilation and what is the scale factor?

a)

Yes; k = 2

b)

Yes; k = 1/2

c)

No, it's a translation.

d)

No, it's a reflection.

11.

ABC ~ XYZ. What is the scale factor of the dilation of ABC to XYZ?

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

2

d)

3

12.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

13.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

14.

Dilate the figure by a scale factor of 3. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

15.

The rule (x, y) --> (1/2x, 1/2y) will produce what type of image?

a)

Similar figure that is an enlargement

b)

Similar figure that is a reduction

c)

Congruent figure

d)

None

16.

What scale factor was used to produce the image?

a)

2

b)

-2

c)

¹/₂

d)

1

17.

In a dilation what mathematical operation is used with the scale factor?

a)

addition

b)

subtraction

c)

multiplication

d)

division

18.

When a dilation has a scale factor greater than one, the dilation is an enlargement.

a)

True

b)

False

19.

The figure before a dilation has occurred is called what?

a)

Pre-image

b)

Image

c)

Translation

d)

Reflection

20.

The figure after a dilation has occurred is called what?

a)

Pre-image

b)

Image

c)

Translation

d)

Reflection

21.

Select all that apply that will classify the following number: -16

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

22.

Select all that apply that will classify the following number: 4

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

23.

Select all that apply that will classify the following number: -2.5

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

24.

Select all that apply that will classify the following number: $\frac{1}{2}$

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

25.

Select all that apply that will classify the following number: 0.3333...

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

26.

Select all that apply that will classify the following number: -3

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

27.

Select all that apply that will classify the following number: 0

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

28.

Select all that apply that will classify the following number: $-\frac{1}{2}$

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

29.

Select all that apply that will classify the following number: 8

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

30.

Select all that apply that will classify the following number: $\frac{4}{2}$

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

31.

Which of the following is NOT an irrational number?

a)

$\sqrt[]{16}$

b)

5.58703...

c)

$\sqrt[]{96}$

d)

$\pi$

32.

Which of the following is NOT a natural number?

a)

12

b)

3,000

c)

5

d)

0

33.

Pi is an example of which type of number?

a)

Irrational number

b)

Natural number

c)

Unnatural number

d)

Fraction

34.

Classify the following: $\sqrt[]{7}$ ?

a)

Rational

b)

Irrational

35.

What type of number is $3.\overline{5}$ ?

a)

Integer

b)

Rational Number

c)

Irrational Number

d)

Natural Number

36.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

37.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

38.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

39.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

40.

Which number is correctly written in scientific notation?

a)

5.67 x 10⁵

b)

56.7 x 10³

c)

0.567 x 10⁶

41.

Consider Scientific Notation...

5 Which is the correct coefficient of 147,000 when it is written in scientific notation

a)

147

b)

14.7

c)

1.47

d)

0.147

42.

Which number is correctly written in scientific notation?

a)

8.2 x 10²

b)

82 x 10⁷

c)

3.45 x 9⁴

43.

The rule of scientific notation is to write all exponents with a base of ____.

a)

50

b)

5

c)

100

d)

10

44.

Which of the following in the LARGEST number?

a)

9 x 10⁶

b)

8 x 10¹⁰

c)

1.3 x 10¹²

d)

5.3 x 10³

45.

Write 9.8 x 10^-5in standard form

a)

0.00098

b)

0.000098

c)

.098

d)

98,000

46.

a)

A

b)

B

c)

C

d)

D

47.

a)

F

b)

G

c)

H

d)

J

48.

a)

A

b)

B

c)

C

d)

D

49.

a)

F

b)

G

c)

H

d)

J

50.

a)

A

b)

B

c)

C

d)

D

51.

What is volume?

a)

The amount of space of a 2-D object

b)

The amount of space in a 3-D object

c)

Water

d)

Area

52.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

53.

What is the diameter?

a)

5 in

b)

10 in

c)

3.14 in

d)

15.84 in

54.

How do you find the area of a circle?

a)

$A=b\cdot h$

b)

$A=\frac{1}{2}b\cdot h$

c)

$A=\pi\cdot r^2$

d)

$A=\frac{1}{2}\left(b_1+b_2\right)\cdot h$

55.

Find the volume of the cylinder.

a)

4239 m³

b)

1696 m³

c)

1130 m³

d)

565 m³

56.

Find the volume of the cylinder.

a)

282.6

b)

516.2

c)

133

d)

214

57.

What is the formula for volume of a CYLINDER?

a)

V = πr²

b)

V = πr²h

c)

V = ⅓πr²h

d)

V = ⅓LWH

58.

Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.

a)

810 cm³

b)

2543.4 cm³

c)

847.8 cm³

d)

2826 cm³

59.

A cylindrical carton of oatmeal has a diameter of 13 cm and is 24 cm tall. Find the volume.

a)

12742.3 cubic cm

b)

3185.6 cubic cm

c)

3452 cubic cm

d)

8345 cubic cm

60.

Find the volume of this shape

a)

1520.53 cm³

b)

276.46 cm³

c)

552.93 cm³

d)

6082.12 cm³

61.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

62.

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.

Which equation can be used to find the volume of the container?

a)

V = π(9)

b)

V = π(4.5)²(32)

c)

V = π(9)²(32)

d)

V = π(4.5)(32)

63.

Find the volume of a cylinder with a height of 3 m and a diameter of 3 m. Round to the nearest tenth.

a)

21.2 m³

b)

84.8 m³

c)

28.3 m³

d)

25.6 m³

64.

What is the volume of a cylinder a radius of 5 feet and a height of 8 feet, in terms of pi?

a)

$200\pi\ \ ft^3$

b)

$800\pi\ \ ft^3$

c)

$628.32\ \ ft^3$

d)

$2,764.60\ \ ft^3$

65.

What is the volume of a cylinder with radius 3 cm and height of 6 cm, in terms of pi?

a)

$54\pi\ \ cm^3$

b)

$169.65\ \ cm^3$

c)

$216\pi\ \ cm^3$

d)

$678.58\ \ cm^3$

66.

What is the volume of a cylinder with diameter 40 mm and height 30 mm, in terms of pi?

a)

$12,000\pi\ \ mm^3$

b)

$48,000\pi\ \ mm^3$

c)

$37,699.11\ \ mm^3$

d)

$150,796.45\ \ mm^3$

67.

What is the volume of a cylinder with a diameter of 8 inches and height of 10 inches, in terms of pi?

a)

$160\pi\ \ in^3$

b)

$502.65\ \ in^3$

c)

$640\pi\ \ in^3$

d)

$2010.62\ \ in^3$

68.

If the diameter of a circle is 4, what is the radius?

a)

2

b)

4

c)

8

d)

16

69.

If the diameter of a circle is 7, what is the radius?

a)

3.5

b)

7

c)

14

d)

49

70.

If the radius of a circle is 6, what is the diameter?

a)

3

b)

6

c)

12

d)

36

71.

What is the formula for Volume of a Cone?

a)

V=π r³h

b)

V=π r²h

c)

V= $\frac{1}{3}$ π $r^2$ h

d)

V= $\frac{4}{3}$ π $r^3$

72.

Find the volume of the conical figure. Round to the nearest hundredth.

a)

14.13 in³

b)

56.55 in³

c)

169.65 in³

d)

113.10 in³

73.

a)

8.4 ft³

b)

100.5 ft³

c)

25 ft³

d)

16.8 ft³

74.

Find the volume of the figure.

a)

150.8 cm³

b)

48 cm³

c)

452.4 cm³

d)

339 cm³

75.

a)

42.4 in³

b)

169.6 in³

c)

56.5 in³

d)

14.13 in³

76.

a)

1,767 ft³

b)

7,068.5 ft³

c)

589 ft³

d)

2,356.2 ft³

77.

A styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth.

a)

7,238.2 cm³

b)

28,952.9 cm³

c)

1,809.6 cm³

d)

21,714.7 cm³

78.

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

a)

21 cubic inches

b)

63 cubic inches

c)

66 cubic inches

d)

198 cubic inches

79.

A cone has a height of 6 centimeters and a radius of 5 centimeters. What is the volume of this shape? Round to the nearest hundredth.

a)

471.24 cm³

b)

565.49 cm³

c)

188.50 cm³

d)

157.08 cm³

80.

An ice cream cone that is 4 inches tall has a diameter that is 8 inches across. Find the volume of the cone.

a)

201.06 in³

b)

67.02 in³

c)

268.08 in³

d)

50.27 in³

81.

What is the y intercept of the following graph?

a)

2

b)

-2

c)

1

d)

-1

82.

What is the slope of the following graph?

a)

-2

b)

2

c)

1/2

d)

-1/2

83.

What is the slope of the following graph?

a)

3

b)

1/3

84.

What is the yintercept of the graph?

a)

2

b)

-2

c)

3

d)

-3

85.

What is the slope of the following graph?

a)

-3/2

b)

-2/3

86.

What type of slope?

a)

negative

b)

positive

c)

zero slope

d)

downward slope

87.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

88.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

89.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

90.

Find the slope

a)

5/2

b)

-5/2

c)

2/5

d)

-2/5

91.

Find the slope of the line.

a)

1/4

b)

-1/4

c)

-4/1

d)

4/1

92.

What is the y-intercept of the line?

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

93.

What is the coordinate for the y-intercept?

a)

(0, 1)

b)

(0, 2)

c)

(0, -1)

d)

(0, -2)

94.

What is the coordinate for the y-intercept?

a)

(0, 0)

b)

(0, -1)

c)

(0, 1)

d)

(0, -0)

95.

What is the y-intercept of the line?

a)

(0, 3)

b)

(0, -3)

c)

(0, -2)

d)

(0, 3)

96.

What is the simple definition of slope?

a)

line

b)

run/rise

c)

undefinied

d)

rise/run

97.

What is the y-intercept in the equation y= -2x + 5

a)

-2

b)

3

c)

5

d)

Cannot be Determined

98.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

99.

which equation produces the line on the graph

a)

y = x + 3

b)

y = 3x - 3

c)

y = -x - 3

d)

y = -3x + 3

100.

What is the linear equation of the following graph?

a)

y = -1/2x

b)

y = 2x + 2

c)

y = -1/2x +2

d)

y = -1/2x - 2

101.

What is the slope in the following equation: y = 3x - 4?

a)

3

b)

-3

c)

4

d)

-4

102.

What is the y intercept in the following equation: y = 2x - 5?

a)

5

b)

-5

c)

2

d)

-2

103.

A balloon is released at 5 feet and rises 3 feet per second. What is the slope?

a)

5/3

b)

5

c)

3

104.

A jet ski rental charges a fee of $50 for insurance and $25 per hour to rent. Which equation represents this?

a)

y = 50x + 25

b)

y = -50x - 25

c)

y = -25x + 50

d)

y = 25x + 50

105.

Which equation represents the linear graph?

a)

y = -3x - 1

b)

y = 3x + 1

c)

y = 1/3x + 1

106.

In the linear equation, y = mx+b, the m stands for?

a)

slope

b)

y intercept

107.

In the linear equation, y=mx+b, the b stands for?

a)

slope

b)

y intercept

108.

Does this mapping diagram represent a function?

a)

No, because an input value goes to multiple output values

b)

Yes, because each input goes to one and only one output

109.

a)

Function

b)

Not a Function

110.

a)

Yes

b)

No

111.

a)

Yes

b)

No

112.

Is this is a function or not a function?

a)

Function

b)

Not a Function

113.

Is this a function or not a function?

a)

Function

b)

Not a Function

114.

a)

Yes

b)

No

115.

Which set of ordered pairs is a function?

a)

{(9,5), (10,5), (9,-5), (10,-5)}

b)

{(3,4), (4,-3), (7,4), (3, 8)}

c)

{(6,-5), (7, -3), (8, -1), (9, 1)}

d)

{(2, -2), (5, 9), (5, -7), (1, 4)}

116.

Does this graph represent a proportional relationship?

a)

No, because it doesn't pass through the origin.

b)

Yes, because it doesn't pass through the origin.

c)

Yes, because it intersects the y axis.

d)

No, because it intersects the x axis.

117.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

118.

Which graph is proportional?

a)

A

b)

B

c)

C and D

d)

All of the graphs are proportional

119.

Is the graph proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

120.

Which best describes the equation?
y = 75x

a)

Proportional

b)

Nonproportional

121.

Does the equation show a proportional relationship?

a)

Yes

b)

No

122.

Does the equation show a proportional relationship?

a)

Yes

b)

No

123.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

124.

Which best describes this equation?
y= 3.75x + 2

a)

Proportional

b)

Non-proportional

125.

Does this graph represent a proportional relationship?

a)

Yes, because the line is pretty.

b)

No, because the line goes through the origin.

c)

Yes because the line goes through the origin.

d)

No, because the graph is non-proportional.

126.

Which best describes the equation?
y = 75x

a)

Proportional

b)

Nonproportional

127.

The graph shows the water level as a bathtub fills. Select the correct choice that describes this graph.

a)

The graph is linear and proportional.

b)

The graph is linear and non-proportional.

128.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

129.

Which best describes the table?

a)

proportional

b)

non-proportional

130.

Determine if the linear relationship is proportional or nonproportional.

a)

Proportional

b)

Nonproportional

c)

Neither

131.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

132.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

a)

125x + 55 ≤ 600

b)

125x + 55 ≥ 600

c)

125x + 55 > 600

d)

125x + 55 < 600

133.

An elevator can only hold 1500 pounds. If equipment weighs 945 pounds, how much more pounds of supplies can be put on the elevator? Which inequality would represent this situation?

a)

x - 945 > 1500

b)

x + 945 > 1500

c)

x - 945 ≤ 1500

d)

x + 945 ≤ 1500

134.

Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.

a)

30 + 20x < 15 + 30x

b)

30x + 20 < 15x + 30

c)

30 + 20x > 15 + 30x

d)

30x + 20 > 15x + 30

135.

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

d)

15 - 10 = 2.5x + 3x

136.

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

a)

150x + 24 = 180 + 20x

b)

180 - 150 = 24 x + 20x

c)

150 + 24x = 180 + 20x

d)

150 - 24x = 180 - 20x

137.

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

a)

10x + 1.50 ≥ 40

b)

1.50x + 10 ≤ 40

c)

1.50x + 10 <40

d)

10x + 1.50 < 40

138.

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

a)

200 + 25x ≥ 500

b)

500 + 25x ≥ 200

c)

500 - 25x ≥ 200

d)

500 - 25x ≤ 200

139.

Ross and Chandler go to Taco Land and order sodas for a total of $3.50. They also want to order some tacos (of course), which cost $1.75 each. If they have $20, how many tacos can they buy? Which inequality best represents the situation.

a)

3.50 + 1.75t > 20

b)

1.75 + 3.50t ≤ 20

c)

3.50 + 1.75t ≥ 20

d)

1.75t + 3.50 ≤ 20

140.

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly

pay of at least $550?

Define the variable.

a)

let x = Griffin

b)

let x = the dollar amount of sales

c)

let x = commission

d)

let x = weekly salary

141.

Buzz graphed two lines in order to find the solution(intersection point).

What is the solution?

a)

(-1, 4)

b)

(1, -4)

c)

(-4, 1)

d)

(4, -1)

142.

Find the point of intersection:

a)

(4, 3)

b)

(3, 4)

c)

(-4, 3)

d)

No solution

143.

These two lines intersect at _____.

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

144.

The solution(intersection point) is:

a)

(4, 3)

b)

(3, 4)

c)

(-4, 3)

d)

No solution

145.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

146.

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

a)

10.95x + 12.57 = 89.22

b)

12.57x + 10.95 = 89.22

c)

89.22x -10.95 = 12.57

d)

12.57 + 10.95 = 89.22

147.

Olivia bought a notebook for $12.50 and 9 pens. If her total was $43.73, how much was each pen?

a)

12.5x +9 = 43.73

b)

73.43 = 12.5x + 9

c)

12.5 - 9x = 43.73

d)

43.73 = 12.5 + 9x

148.

What could this represent? 7x + 2 = 30

a)

Buying pet turtles for $7 each plus two cans of turtle food cost $30.

b)

Seven bags of candy plus 2 extra snickers bars equals 30 dollars.

c)

Two yoyos plus seven frisbees is thirty cents.

d)

Buying seven calculators plus $2 per bundle of pencils is $30.

149.

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

a)

40x + 20 = 340

b)

20x + 40 = 340

c)

20x - 40 = 340

d)

20 + 340 = 40x

150.

Scott's Automotive charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie was charged $63.

a)

35x + 7 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

7x + 35 = 63

151.

A wood board 100 centimeters long is cut into two pieces. One piece is 26 centimeters longer than the other. Which equation models this scenario?

a)

2x + 26 = 100

b)

2x - 26 = 100

c)

x + 26 = 100

d)

x - 26 = 100

152.

Mallory bought pizza and soda for her End of Summer party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22? Which equation models this scenario?

a)

10.95x + 12.57 = 89.22

b)

89.22x - 10.95 = 12.57

c)

12.57x + 10.95 = 89.22

d)

12.57 + 10.95 = 89.22

153.

Elena is cutting a 30-foot piece of ribbon for a craft project. She cuts off 7 feet, and then cuts the remaining piece into 9 equal lengths of feet each. Which equation matches the situation?

a)

7 + 9x = 30

b)

30 = x - 7 - 9

c)

30/x = 9-7

d)

x - 30 = 7(9)

154.

Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

a)

3(x + 5) = 17

b)

3x + 5 = 17

c)

5(x + 3) = 17

d)

5x + 3 = 17

155.

Jim works at a local restaurant. He earns $8 an hour, plus tips. If Jim earned $350 last week, which included $270 in tips, how many hours did he work?

a)

8/h + 270 = 350

b)

350 = 270 + 8 + h

c)

350 = 270 + 8h

d)

350 -270 = h

156.

Amy had $26 dollars to spend on school supplies. After buying 10 pens at the same price, she had $14.30 left. Write an equation to determine how much each pen cost.

a)

14.30/p + 10 = 26

b)

26/p = 24.30

c)

10p - 14.30 = 26

d)

14.30 + 10p = 26

157.

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

a)

x = -6

b)

x = 6

c)

x = 3

158.

4k + 24 = 6k -10

a)

k = 17

b)

k =-17

c)

k= 5

d)

k = 1/5

159.

13y - 18 = -5y + 36

a)

y = 3

b)

y = -3

c)

y= 9

d)

y = -9

160.

11z - 5 = 9z + 7

a)

z= 6

b)

z = -6

c)

z = 1/6

d)

z =-1/6

161.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

162.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

163.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

164.

Is this a right triangle

a)

Yes

b)

No

165.

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

166.

Find the measure of the missing angle.

a)

105 degrees

b)

25 degrees

c)

80 degrees

d)

75 degrees

167.

Find the measure of the missing angle.

a)

$120\degree$

b)

$70\degree$

c)

$50\degree$

d)

$60\degree$

168.

If the $m\angle1\ =\ 57\degree,$ find the measure of $\angle6.$

a)

$123\degree$

b)

$57\degree$

c)

$180\degree$

d)

Cannot be determined

169.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

170.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

1st Semester Exam Review

Total questions: 170

Worksheet time: 6hrs 40mins

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