Free Printable Final Review 8

1.

Write $37^{-2}$ as a fraction using positive exponents.

a)

$\frac{1}{37^2}$

b)

$1/(37^{-2})$

c)

$37^2$

d)

$-1/(37^2)$

2.

Find the cube root of 216.

a)

6

b)

4

c)

8

d)

5

3.

Write in standard notation: $6.01 x 10^{-5}$

a)

0.0000601

b)

0.000601

c)

0.00601

d)

0.00000601

4.

Find the product of -8 and -5.

a)

40

b)

-40

c)

13

d)

-3

5.

Add -4 + 14

a)

10

b)

-18

c)

8

d)

-10

6.

Subtract -18 - 2

a)

-20

b)

-16

c)

-22

d)

20

7.

What is $64000^0$ ?

a)

1

b)

0

c)

64,000

d)

-1

8.

Solve for n: 8n + 3n - 1 = 32.

a)

n = 3

b)

n = 2

c)

n = 4

d)

n = 5

9.

What is the value of point P(-7,8) after a translation using the Rule T(x + 1, y - 2)?

a)

(-6, 6)

b)

(-8, 10)

c)

(-6, 10)

d)

(-8, 6)

10.

What is the value of point (4,6) after a reflection over the x axis?

a)

(4, -6)

b)

(-4, 6)

c)

(-4, -6)

d)

(6, 4)

11.

What is $2^{-1}$ ? Write with positive exponents.

a)

1/2

b)

2

c)

-1/2

d)

-2

12.

What is $3^{-2}$ ? Write with positive exponents.

a)

1/9

b)

9

c)

-9

d)

1/6

13.

The cost of a local babysitting service is given by the function y = 15x + 5, where x is the number of hours of babysitting. What could the y-intercept represent?

a)

Fee for visiting the house

b)

Age of the child

c)

Number of hours of babysitting

d)

Cost per hour

14.

Multiply $(2.3 x 10^3)(5 x 10^4)$

a)

$1.15 x 10^8$

b)

1.15 x 10^7

c)

1.15 x 10^6

d)

1.15 x 10^9

15.

A flagpole 20 feet tall casts a shadow 12 feet long. Find the length of a shadow for a child who is 5 feet tall.

a)

3 feet

b)

2 feet

c)

6 feet

d)

5 feet

16.

Write a linear function that represents the following table.

a)

y = 5x + 3

b)

y = 3x + 5

c)

y = 5x - 3

d)

y = 3x - 5

17.

Line AB is parallel to line CD. The measure of Angle AHK is 10x + 3. The measure of Angle HKD is 2x + 43. Find the measure of Angle HKD.

a)

The measure of Angle HKD is 73 degrees.

b)

The measure of Angle HKD is 53 degrees.

c)

The measure of Angle HKD is 63 degrees.

d)

The measure of Angle HKD is 83 degrees.

18.

Divide $6.3 x 10^5$ ÷ $7 x 10^2$

a)

$9 x 10^2$ .

b)

$9 x 10^3$ .

c)

0.9 x 10^2.

d)

0.9 x 10^3.

19.

The volume of a small box is 24 cubic centimeters. If the height of the box is 2 cm and the length is 4 cm, find its width. Use V = lwh.

a)

The width is 3 cm.

b)

The width is 2 cm.

c)

The width is 4 cm.

d)

The width is 6 cm.

20.

Find three consecutive integers that sum to 111.

a)

The three consecutive integers are 36, 37, and 38.

b)

The three consecutive integers are 35, 36, and 37.

c)

The three consecutive integers are 37, 38, and 39.

d)

The three consecutive integers are 34, 35, and 36.

21.

What is the value of point (12, -24) after a dilation of 1/4?

a)

(3, -6)

b)

(6, -12)

c)

(4, -8)

d)

(1, -2)

22.

Write the equation of a line that has a slope of -4 and which passes through the point (0, 8).

a)

y = -4x + 8

b)

y = 4x + 8

c)

y = -4x - 8

d)

y = 4x - 8

23.

Write the following linear equation in standard slope intercept form: 10y + 80 = 20x

a)

y = 2x - 8

b)

y = 2x + 8

c)

y = -2x - 8

d)

y = -2x + 8

24.

Three pieces of wood measuring 5 inches, 4 inches and 6 inches be assembled into ramp shaped like a right triangle.

a)

True

b)

False

25.

Between which two consecutive integers would you find √99?

a)

9 and 10

b)

8 and 9

c)

10 and 11

d)

7 and 8

26.

Estimate the value of √102.

a)

About 10.1

b)

About 9.5

c)

About 11.2

d)

About 12.0

27.

A motorcycle travels 162 miles using 13.5 gallons of gasoline, how far can it travel with 6 gallons of gasoline in its tank?

a)

72 miles

b)

54 miles

c)

90 miles

d)

120 miles

28.

Simplify: (-4 - 9) ÷ (-13)

a)

1

b)

-1

c)

0

d)

13

29.

Multiply -15 × ( $-1\frac{2}{5}$ )

a)

21

b)

-21

c)

-17

d)

17

30.

What is √900?

a)

30

b)

60

c)

300

d)

6

31.

Which equation represents a line parallel to 2x + 6 = y?

a)

y = 5x + 2

b)

y = -2x + 2

c)

y = 2x - 2

d)

y = -5x - 2

32.

Which fraction is equivalent to 0.36?

a)

36/100

b)

4/9

c)

3/6

d)

4/11

33.

What is $(-4/5)^3$ ?

a)

-64/125

b)

64/125

c)

-12/25

d)

16/125

34.

Which of the following sides could NOT be a right triangle?

a)

30m, 40m, 50m

b)

5m, 12m, 13m

c)

7m, 9m, 11m

35.

Which number is irrational?

a)

√400

b)

³√27

c)

√100

d)

³√2

36.

A cone is placed on the bottom of a cylinder container to create a tool to frost cakes. What is the volume of this new frosting tool?

a)

The sum of the volumes of the cone and the cylinder

b)

The difference between the volumes of the cylinder and the cone

c)

The volume of only the cylinder

d)

The volume of only the cone

37.

How many solutions are there to the following systems? Select the correct answer.

a)

One solution

b)

No solution

c)

Infinite Solutions

d)

Two solutions, because the system is nonlinear.

38.

The perimeter of my room is 48 feet. The length is four feet longer than the width. What are the length and width of the room?

a)

Length: 14 feet, Width: 10 feet

b)

Length: 12 feet, Width: 8 feet

c)

Length: 16 feet, Width: 12 feet

d)

Length: 20 feet, Width: 16 feet

39.

What is the correct simplification for (n⁵)⁶?

a)

n³⁰

b)

n¹¹

c)

n⁵⁶

d)

n¹

40.

Which of the following statements is false?

a)

Similar figures do not have the same shape.

b)

Similar figures have corresponding angles with the same measures.

c)

The corresponding sides of similar figures are proportional.

d)

If a figure can be obtained from another by a series of reflections, translations, rotations and dilations, then the two figures are similar.

41.

Is the following decimal rational or irrational? 0.09090909...

a)

Rational

b)

Irrational

42.

Is the following decimal rational or irrational? 0.123190740688210...

a)

Rational

b)

Irrational

43.

What value of x makes the following true? ³√729 = x

a)

5

b)

6

c)

9

d)

8

44.

How would you describe this correlation?

a)

Strong Positive

b)

Strong Negative

c)

Moderate Positive

d)

Moderate Negative

45.

What value for x makes the following equation true? $x^2 = 625$

a)

225

b)

15

c)

25

d)

625

46.

Two angles of a triangle measure 96° and 14°. What is the measure of the third angle?

a)

22°

b)

47°

c)

80°

d)

70°

47.

Two angles are supplementary. If one angle measures 99 degrees, what is the measure of the other angle?

a)

99°

b)

15°

c)

81°

d)

84°

48.

Determine the number of solutions to the following equation: a) 3x + 9 = 3(x + 1) + 6

a)

1 solution

b)

0 solutions

c)

2 solutions

d)

Infinite solutions

49.

Evaluate. Final answer must be in scientific notation. Multiply. $(7.2 x 10^{15}) (3 x 10^{-3})$

a)

2.16 x 10^13

b)

2.16 x 10^12

c)

$2.16 x 10^{18}$

d)

2.16 x 10^17

50.

2.5 is rational.

a)

True

b)

False

51.

2.55555... is irrational.

a)

True

b)

False

52.

0 is a natural number.

a)

True

b)

False

53.

True or False: -2.3 is an integer.

a)

True

b)

False

54.

True or False: -121 is an integer.

a)

True

b)

False

55.

√121 is a whole number.

a)

True

b)

False

56.

For the following statements indicate whether they are true or false. All whole numbers are natural numbers.

a)

True

b)

False

57.

For the following statements indicate whether they are true or false. All integers are real.

a)

True

b)

False

58.

For the following statements indicate whether they are true or false. All rational numbers are also irrational.

a)

True

b)

False

59.

For the following statements indicate whether they are true or false. All perfect squares are irrational.

a)

True

b)

False

60.

For the following statements indicate whether they are true or false. The set of real numbers is the union of the rational and irrational numbers.

a)

True

b)

False

61.

Evaluate: √64 + 12²

a)

152

b)

148

c)

176

d)

140

62.

Evaluate: 8 · √121 + 10³

a)

1088

b)

1188

c)

1288

d)

1098

63.

4. The smaller number is ³√27 or 3.1.

a)

³√27

b)

3.1

c)

Both are equal

d)

Cannot be determined

64.

Estimate √28 to the nearest tenth.

a)

5.3

b)

5.1

c)

5.5

d)

5.7

65.

a)

a

b)

b

c)

c

d)

d

66.

a)

a

b)

b

c)

c

d)

d

67.

a)

5

b)

2

c)

-2

d)

-5

68.

a)

a

b)

b

c)

c

d)

d

69.

a)

3.5

b)

5.8

c)

4.5

d)

4

70.

a)

a

b)

b

c)

c

d)

d

71.

Find the volume

v=\frac{\pi r^2h}{3}

a)

appx. 120 m

b)

appx. 94 m

c)

appx. 314 m

d)

appx. 100 m

72.

$\left(3c^2\right)^3$

a)

$27c^5$

b)

$9c^6$

c)

$27c^6$

d)

$6c^6$

Final Review 8

Total questions: 72

Worksheet time: 2hrs 2mins

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