Quiz about Final Review 8

Question 1

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

Accepted Answer

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

Answer

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

Answer

$$37^2$$

Answer

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

Question 2

Find the cube root of 216.

Accepted Answer

6

Answer

4

Answer

8

Answer

5

Question 3

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

Accepted Answer

0.0000601

Answer

0.000601

Answer

0.00601

Answer

0.00000601

Question 4

Find the product of -8 and -5.

Accepted Answer

40

Answer

-40

Answer

13

Answer

-3

Question 5

Add -4 + 14

Accepted Answer

10

Answer

-18

Answer

8

Answer

-10

Question 6

Subtract -18 - 2

Accepted Answer

-20

Answer

-16

Answer

-22

Answer

20

Question 7

What is $$64000^0$$ ?

Accepted Answer

1

Answer

0

Answer

64,000

Answer

-1

Question 8

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

Accepted Answer

n = 3

Answer

n = 2

Answer

n = 4

Answer

n = 5

Question 9

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

Accepted Answer

(-6, 6)

Answer

(-8, 10)

Answer

(-6, 10)

Answer

(-8, 6)

Question 10

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

Accepted Answer

(4, -6)

Answer

(-4, 6)

Answer

(-4, -6)

Answer

(6, 4)

Question 11

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

Accepted Answer

1/2

Answer

2

Answer

-1/2

Answer

-2

Question 12

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

Accepted Answer

1/9

Answer

9

Answer

-9

Answer

1/6

Question 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?

Accepted Answer

Fee for visiting the house

Answer

Age of the child

Answer

Number of hours of babysitting

Answer

Cost per hour

Question 14

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.

Accepted Answer

3 feet

Answer

2 feet

Answer

6 feet

Answer

5 feet

Question 15

Write a linear function that represents the following table.

Accepted Answer

y = 5x + 3

Answer

y = 3x + 5

Answer

y = 5x - 3

Answer

y = 3x - 5

Question 16

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.

Accepted Answer

The measure of Angle HKD is 73 degrees.

Answer

The measure of Angle HKD is 53 degrees.

Answer

The measure of Angle HKD is 63 degrees.

Answer

The measure of Angle HKD is 83 degrees.

Question 17

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.

Accepted Answer

The width is 3 cm.

Answer

The width is 2 cm.

Answer

The width is 4 cm.

Answer

The width is 6 cm.

Question 18

Find three consecutive integers that sum to 111.

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 19

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

Accepted Answer

(3, -6)

Answer

(6, -12)

Answer

(4, -8)

Answer

(1, -2)

Question 20

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

Accepted Answer

y = -4x + 8

Answer

y = 4x + 8

Answer

y = -4x - 8

Answer

y = 4x - 8

Question 21

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

Accepted Answer

y = 2x - 8

Answer

y = 2x + 8

Answer

y = -2x - 8

Answer

y = -2x + 8

Question 22

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

Accepted Answer

True

Answer

False

Question 23

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

Accepted Answer

72 miles

Answer

54 miles

Answer

90 miles

Answer

120 miles

Question 24

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

Accepted Answer

y = 2x - 2

Answer

y = 5x + 2

Answer

y = -2x + 2

Answer

y = -5x - 2

Question 25

Which fraction is equivalent to 0.36?

Accepted Answer

36/100

Answer

4/9

Answer

3/6

Answer

4/11

Question 26

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

Accepted Answer

-64/125

Answer

64/125

Answer

-12/25

Answer

16/125

Question 27

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

Accepted Answer

7m, 9m, 11m

Answer

30m, 40m, 50m

Answer

5m, 12m, 13m

Question 28

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?

Accepted Answer

The sum of the volumes of the cone and the cylinder

Answer

The difference between the volumes of the cylinder and the cone

Answer

The volume of only the cylinder

Answer

The volume of only the cone

Question 29

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

Accepted Answer

No solution

Answer

One solution

Answer

Infinite Solutions

Answer

Two solutions, because the system is nonlinear.

Question 30

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?

Accepted Answer

Length: 14 feet, Width: 10 feet

Answer

Length: 12 feet, Width: 8 feet

Answer

Length: 16 feet, Width: 12 feet

Answer

Length: 20 feet, Width: 16 feet

Question 31

Which of the following statements is false?

Accepted Answer

Similar figures do not have the same shape.

Answer

Similar figures have corresponding angles with the same measures.

Answer

The corresponding sides of similar figures are proportional.

Answer

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

Question 32

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

Accepted Answer

Rational

Answer

Irrational

Question 33

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

Accepted Answer

Irrational

Answer

Rational

Question 34

How would you describe this correlation?

Accepted Answer

Moderate Positive

Answer

Strong Positive

Answer

Strong Negative

Answer

Moderate Negative

Question 35

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

Accepted Answer

25

Answer

225

Answer

15

Answer

625

Question 36

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

Accepted Answer

Infinite solutions

Answer

1 solution

Answer

0 solutions

Answer

2 solutions

Question 37

2.5 is rational.

Accepted Answer

True

Answer

False

Question 38

2.55555... is irrational.

Accepted Answer

False

Answer

True

Question 39

0 is a natural number.

Accepted Answer

False

Answer

True

Question 40

True or False: -2.3 is an integer.

Accepted Answer

False

Answer

True

Question 41

True or False: -121 is an integer.

Accepted Answer

True

Answer

False

Question 42

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

Accepted Answer

False

Answer

True

Question 43

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

Accepted Answer

True

Answer

False

Question 44

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

Accepted Answer

False

Answer

True

Question 45

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

Accepted Answer

False

Answer

True

Question 46

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.

Accepted Answer

True

Answer

False

Question 47

Question 47.

Accepted Answer

a

Answer

b

Answer

c

Answer

d

Question 48

Question 48.

Accepted Answer

c

Answer

a

Answer

b

Answer

d

Question 49

Question 49.

Accepted Answer

-5

Answer

5

Answer

2

Answer

-2

Question 50

Question 50.

Accepted Answer

a

Answer

b

Answer

c

Answer

d

Question 51

Question 51.

Accepted Answer

4

Answer

3.5

Answer

5.8

Answer

4.5

Question 52

Question 52.

Accepted Answer

d

Answer

a

Answer

b

Answer

c

Question 53

Find the volume

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

Accepted Answer

appx. 314 m

Answer

appx. 120 m

Answer

appx. 94 m

Answer

appx. 100 m

Question 54

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

Accepted Answer

$$27c^6$$

Answer

$$27c^5$$

Answer

$$9c^6$$

Answer

$$6c^6$$

Final Review 8

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