Free Printable Case 21 Review

1.

Solve:
8w - 8 = -4w + 16

a)

8

b)

16

c)

24

d)

2

2.

Solve the equation:
3(x - 1) = 2x + 9

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

3.

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

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

4.

Solve the equation. Check your solution.

a)

24

b)

¹⁴⁷/₈ or 18³/₈

c)

168

d)

-24

5.

6 - 3a = 21

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

6.

A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?

a)

c = 3.00 - 0.15m

b)

c = 0.15 + 3.00m

c)

3.00 = c + 0.15

d)

c = 3.00 + 0.15m

7.

WRITE AN EQUATION
April had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

n=total cost pencils; 7n+10=24

b)

n=cost of 1 pencil; 7n-10=24

c)

n=cost of 1 pencil; 7n+10=24

d)

n=cost of 1 pencil; -7n-10=24

8.

Translate the sentence into an equation:
Four more than six times a number is 18.

a)

10x = 18

b)

4x + 6 = 18

c)

4 + 6x = 18

d)

not enough info

9.

The difference between the highest and lowest elevations in the continental United States is 14,776 feet. The lowest elevation is -282 feet (282 feet below sea level). What is the highest elevation in the continental United States?

a)

14,494 feet

b)

282 feet

c)

15,058 feet

d)

-14,494 feet

10.

How many solutions does this system of equations have?

a)

One

b)

None

c)

Infinite

11.

How many solutions does this system of equations have?

a)

One

b)

None

c)

Infinite

12.

How many solutions does this system of equations have?

a)

One

b)

Infinite

c)

None

13.

How many solutions does this system of equations have?

a)

One

b)

None

c)

Infinite

14.

How many solutions does this systems of equations have?

a)

One

b)

None

c)

Infinite

15.

How many solutions does this systems of equations have?

a)

One

b)

None

c)

Infinite

16.

How many solutions does this systems of equations have?

a)

One

b)

None

c)

Infinite

17.

7x+4y =12
x + 2y = -4

a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

18.

x + 2y = -4
x - 2y = 8

a)

(2,5)

b)

(2,-3)

c)

(2,-2)

d)

(-3,2)

19.

7x - 2y = 6
x - 2y = -6

a)

(2,4)

b)

(3,-2)

c)

(1,2)

d)

(-2,-4)

20.

x-4y = 16
5x + 4y = 8

a)

(4,-3)

b)

(-3,4)

c)

(4,3)

d)

(3,-4)

21.

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

22.

Which of the following numbers is written in scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

23.

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

24.

Convert to scientific notation:

520,000,000

a)

52 x 10⁷

b)

5.2 x 10^-7

c)

5.2 x 10⁸

d)

0.52 x 10⁹

25.

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

26.

Which of the following numbers is the SMALLEST?

a)

8.7 x 10³

b)

3 x 10⁴

c)

1.3 x 10⁸

d)

9 x 10²

27.

Write the answer in scientific notation.

5.3 x 10⁵ + 3.7 x 10⁵ =

a)

99.0 x 10⁵

b)

9.9 x 10¹⁰

c)

8.0 x 10⁵

d)

9.0 x 10⁵

28.

Write the answer in scientific notation.
5 x 10⁸ - 3.4 x 10⁸ =

a)

2.4 x 10⁸

b)

2.4 x 10⁰

c)

1.6 x 10⁰

d)

1.6 x 10⁸

29.

Write the answer in scientific notation.

4.1 x 10⁶ + 5.5 x 10⁶ =

a)

5.91 x 10⁶

b)

9.6 x 10⁶

c)

9.6 x 10¹²

d)

4.65 x 10⁵

30.

(2.3 x 10²)+(4.1 x 10²)=

a)

6.4 x 10⁴

b)

6.4 x 10²

c)

6.4 x 10⁰

d)

.64 x 10¹

31.

How many times larger is 8 X 10⁷ than 2 X 10⁵?

a)

4

b)

4 X 10¹

c)

4 X 10²

d)

16

32.

How many times larger is 4.5 X 10¹¹ than 1.5 X 10⁵?

a)

3

b)

3 X 10¹⁶

c)

3 X 10⁶

d)

300

33.

√64=___

a)

+ 6 only

b)

± 6

c)

± 8

d)

+ 8 only

34.

Which of the following is a perfect square?

a)

10

b)

25

c)

50

d)

89

35.

√-9

a)

3

b)

-3

c)

81

d)

Not possible

36.

√.81

a)

9

b)

.09

c)

.9

d)

Not Possible

37.

Between which two whole numbers is the
√5?

a)

1 and 2

b)

2 and 3

c)

3 and 4

d)

4 and 5

38.

∛8

(a)

39.

What is the cube root of 8?

a)

4

b)

2

c)

-2

d)

-4

40.

What is the cube root of 125?

a)

5

b)

-5

c)

25

d)

-25

41.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

42.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

43.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

44.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

45.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

46.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

47.

What is the Slope represented in this table?

a)

slope: $-\frac{1}{4}$

b)

slope: $-4$

c)

slope: $\frac{1}{4}$

d)

slope: $4$

48.

Write the equation of the line in slope-intercept form with slope m = 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

49.

Write the equation of the line in standard form through the points (-6, -19) and (2, 5).

a)

-3x - y = -1

b)

-3x + y = 1

c)

3x - y = 1

d)

y = 3x - 1

50.

Write the equation of the line in slope-intercept form.

a)

y = (-2/3)x + 4

b)

y = (2/3)x + 4

c)

y = (3/2)x + 4

d)

y = (-3/2)x + 4

51.

Write the equation of a line with a slope of -3 and y intercept of 8

a)

x = 8

b)

y = -3

c)

y = 8x -3

d)

y = -3x + 8

52.

A music club membership costs $15 to start and $8 per cd. Write an equation.

a)

C = 15 + 8

b)

C = 15x +8

c)

C = 8x + 15

d)

none of these

53.

Is the relation a function? Explain.

a)

Yes, the x-value 11 has two y-values paired with it.

b)

Yes, each x-value has only one y-value paired with it.

c)

No, the x-value 11 has two y-values paired with it.

d)

No, each x-value has only one y-value paired with it.

54.

Does the following relation represent a function?

(1,5), (1,6), (1,7), (1,8), (1,9)

a)

Yes, there are no repeated x-values

b)

No, there are repeated x-values

55.

Does the table represent a function?

a)

Yes

b)

No

56.

Does the graph represent a function?

a)

Yes

b)

No

57.

Does the graph represent a function?

a)

Yes

b)

No

58.

You can identify a function from a graph by using the.....

a)

Horizontal Line Test

b)

Eye Test

c)

Vertical Line Test

d)

Diagonal Line Test

59.

Is the following equation linear or nonlinear?

a)

Linear

b)

Nonlinear

60.

Is the following equation linear or nonlinear?

a)

Linear

b)

Nonlinear

61.

Is the following equation linear or nonlinear?

a)

Linear

b)

Nonlinear

62.

Is the following equation linear or nonlinear?

a)

Linear

b)

Nonlinear

63.

Is the following equation linear or nonlinear?

a)

Linear

b)

Nonlinear

64.

Compare the rates of change.

a)

The rate of change of item I is greater than the rate of change of item II.

b)

The rate of change of item I is equal to the rate of change of item II.

c)

The rate of change of item II is greater than the rate of change of item I.

65.

Compare the initial values of each function.

a)

The initial value of item I is greater than the initial value of item II.

b)

The initial value of item I is equal to the initial value of item II.

c)

The initial value of item II is greater than the initial value of item I.

66.

LINEAR or NONLINEAR?

a)

linear

b)

nonlinear

67.

A girl takes a ride on a ferris wheel.

a)

A

b)

B

c)

C

d)

D

68.

A child is on a swing.

a)

A

b)

B

c)

C

d)

D

69.

$4x-2\le-22$

a)

$x\ge-5$

b)

$x\ge-6$

c)

$x\le-6$

d)

$x\le-5$

70.

$7b-3<11$

a)

$b<2$

b)

$84>b$

c)

$b>2$

d)

$b<84$

71.

$10\ge x-3$

a)

$x\le13$

b)

$x\ge13$

c)

$x\le7$

d)

$x\ge7$

72.

$-12y-11<49$

a)

$y<-5$

b)

$y>-5$

c)

$y>5$

d)

$y<5$

73.

$\sqrt[]{49}$

a)

Rational

b)

irrational

74.

$\sqrt[]{119}$

a)

Rational

b)

irrational

75.

$\sqrt[]{11}$

a)

Rational

b)

irrational

76.

3.1415141514151415...

a)

Rational

b)

irrational

77.

4 $\pi$

a)

Rational

b)

irrational

78.

$16^2$

a)

Rational

b)

irrational

79.

a)

A, B, C

b)

B, C, A

c)

C, A, B

d)

A, C, B

80.

a)

D, C, A, B

b)

D, A, B, C

c)

D, B, C, A

d)

A, C, B, D

81.

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)

82.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

83.

How was B translated to B' if B' is at (4, -2)?

a)

Translated 6 units down

b)

Translated 2 units to the left and 6 units down

c)

Translated 2 units to the right and 6 units down

d)

Translated 2 units to the right

84.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

85.

∆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)

86.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

87.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

a)

(-4,-3)

b)

(-4,3)

c)

(4,-3)

d)

(3,4)

88.

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. 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)

89.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

90.

Which of the statements is true about the graphed triangles?

a)

They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

b)

They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

c)

They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

d)

They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

91.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate -90 degrees cw around the origin

b)

Rotate 90 degrees cw around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees ccw about the origin.

92.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

93.

What is the height of the cone?

a)

14 cm

b)

8 cm

c)

12 cm

d)

13.9 cm

94.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

95.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

96.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

97.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

98.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

99.

The formula for the Volume of ...

a)

Spheres

b)

Cones

c)

Cylinders

100.

Find the volume of the Cylinder

a)

7230

b)

6621

c)

1130

d)

907

101.

Find the Volume of the Cone

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

102.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

103.

Find the Volume if the height is 10 cm and radius 3 cm?

a)

250

b)

200

c)

283

d)

180

104.

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.

a)

50.27 ft³

b)

150.72 ft³

c)

not here

d)

192.65 ft³

105.

Find the volume of the cone.

a)

113.04

b)

37.68

c)

12.56

d)

75.42

Case 21 Review

Total questions: 105

Worksheet time: 26hrs 15mins

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