Free Printable Math 8 Final Exam Part 2 Review

1.

Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenario?

a)

y = -50x + 90

b)

y = 90x + 50

c)

y = -90 - 50x

d)

y = 50 - 90x

2.

Sarah's Salon charges $75 per hour plus a $30 service fee. Which equation models this scenario?

a)

y = 75x + 30

b)

y = 30x + 75

c)

y = 75 + 30x

d)

y = 30 - 75x

3.

Mike's Mechanics charges $120 per hour plus a $40 call-out fee. Which equation models this scenario?

a)

y = 120x - 40

b)

y = 40x + 120

c)

y = 120x + 40

d)

y = 40 - 120x

4.

Linda's Landscaping charges $60 per hour plus a $25 equipment fee. Which equation models this scenario?

a)

y = 60x + 25

b)

y = 25x + 60

c)

y = 60 - 25x

d)

y = 25 - 60x

5.

Two taxi companies charge a base fee and a rate ( $x$ ) for every mile traveled . The system below shows the total cost ( $y$ ) for both companies .

Company A: $y=2.25x+3$

Company B: $y=3.50x+2$

Match the values to what they represent.

a)

Company A rate

1.

$2.25$

b)

Company A base fee

2.

$3$

c)

Company B rate

3.

$3.50$

d)

Company B base fee

4.

$2$

6.

- 8x - 4 + 32x = 2x - 24 + 16x - 40

a)

10

b)

- 10

c)

- 0.55

d)

2.72

7.

- 6x - 5 + 1x = 3x - 9 + 2x - 6

a)

- 1

b)

6

c)

0.2

d)

1

8.

-2(4x - 6) + 10x = 4x - 2

a)

4

b)

- 5

c)

- 7

d)

7

9.

Find the slope of a line that passes through the given points:

(5,1) and (8,3)

You may use the graph or slope formula:

y2 - y1

_______

x2 - x1

a)

$\frac{2}{3}$

b)

$\frac{-2}{3}$

c)

$\frac{3}{-2}$

d)

$\frac{3}{2}$

10.

Find the slope of the line that passes through:

(-4, 7) and (-6, -4)

You may use the graph or slope formula:

y2 - y1

_______

x2 - x1

a)

2/11

b)

13/2

c)

3/10

d)

11/2

11.

Find the slope when given (2, 3) (3, 5)

You may use the graph or slope formula:

y2 - y1

_______

x2 - x1

a)

1/2

b)

2

c)

-2

d)

4

12.

Which special angle pairs are shown in the picture?

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same Side Exterior Angles

d)

Corresponding Angles

13.

Which type of angles are shown in the picture?

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same Side Interior Angles

d)

Same Side Exterior Angles

14.

What is true about angles 4 & 6?

a)

They are alternate interior.

b)

They are corresponding.

c)

They are vertical.

d)

They are alternate exterior.

15.

What is true about angles 6 & 8?

a)

They are alternate interior.

b)

They are corresponding.

c)

They are vertical.

d)

They are alternate exterior.

16.

What is true about angles 2 & 8?

a)

They are alternate interior.

b)

They are corresponding.

c)

They are consecutive interior.

d)

They are alternate exterior.

17.

What is the m<5?

a)

$154\degree$

b)

$180\degree$

c)

$90\degree$

d)

$26\degree$

18.

What is the m<6?

a)

$154\degree$

b)

$180\degree$

c)

$90\degree$

d)

$26\degree$

19.

What is the m<1?

a)

$154\degree$

b)

$180\degree$

c)

$90\degree$

d)

$26\degree$

20.

What is the m<3?

a)

$154\degree$

b)

$180\degree$

c)

$90\degree$

d)

$26\degree$

21.

What is the m<7?

a)

$154\degree$

b)

$180\degree$

c)

$90\degree$

d)

$26\degree$

22.

Which pair of angles are congruent?

a)

<1 & <2

b)

<4 & <6

c)

<5 & <8

d)

<7 & <8

23.

What is the volume of the cone expressed in terms of pi?

V=\frac{1}{3}\pi r^2h

a)

$144\pi\ in^3$

b)

$24\pi\ in^3$

c)

$48\pi\ in^3$

d)

$36\pi\ in^3$

24.

What is the volume of the cone? $V=\frac{1}{3}\pi r^2h$

a)

$12\pi\ cm^3$

b)

$24\pi\ cm^3$

c)

$36\pi\ cm^3$

d)

$48\pi\ cm^3$

25.

What is the volume of the cone with a radius of 15 in and a height of 8 in?

$V=\frac{1}{3}\pi r^2h$

a)

$600\pi\ in^3$

b)

$40\pi\ in^3$

c)

$1800\pi\ in^3$

d)

$240\pi\ in^3$

26.

Which of the following is closest to the volume of the cone shown below?

a)

760.3 cm³

b)

414.6 cm³

c)

1244.1 cm³

d)

414.7 cm³

27.

Which of the following is closest to the volume of the cone shown below, expressed in terms of π?

a)

1613π cm³

b)

4840π cm³

c)

403π cm³

d)

1210π cm³

28.

These two lines intersect at _____.

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

29.

The solution to this system of equations is:

a)

(4, 3)

b)

(3, 4)

c)

(-4, 3)

d)

No solution

30.

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-1, 4)

b)

(1, -4)

c)

(-4, 1)

d)

(4, -1)

31.

Solve this system of equations by graphing.
y = 1/2x + 2
y = -3x + 9

a)

(2,3)

b)

(-2,-3)

c)

(3, 2)

d)

(-3,2)

32.

Solve the following system by graphing. What is the solution?

a)

(-4, 2)

b)

(4, 2)

c)

(2, -4)

d)

(2, 4)

33.

Solve:
2x + 1 = 2x - 1

a)

No Solution

b)

x = 0

c)

Infinitely Many Solutions

34.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 8 = 3(x - 4) + 1

a)

one

b)

no solutions

c)

infinite solutions

35.

6x + 9 – x = 3x + 9 + x

a)

No Solution

b)

One Solution

c)

Infinite Solutions

36.

3(x-2) + 1 = 3x - 5

a)

No Solution

b)

One Solution

c)

Infinite Solutions

37.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

38.

Side c on a right triangle is ALWAYS the longest side.

a)

TRUE

b)

FALSE

39.

Find the missing side.

a)

11

b)

12

c)

13

d)

14

40.

Drag the correct letter to the box.

a)B

b)A

c)C

1

1)

41.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

42.

a)

A

b)

B

c)

C

d)

D

43.

Determine the value of the exponential expression below. Express the answer as a decimal.

$2^{-3}$

44.

Determine the value of the exponential expression below.

$3^0$

45.

Which expression is equivalent to $4^3\cdot2^3$ when written in simplified form?

a)

$6^3$

b)

$6^6$

c)

$8^3$

d)

$8^9$

46.

What is the value of the expression $\frac{10^8}{10^3}$ ?

(a)

47.

What is the value of the expression $\left(4^5\right)^2$ ?

(a)

48.

Which expression is equivalent to $\frac{6^5}{6}$ when written in simplified form?

a)

$6^5$

b)

$6^4$

c)

$1^5$

d)

$1^4$

49.

a)

Yes

b)

No

50.

Which of these tables represent a function?

a)

A

b)

B

c)

C

d)

D

51.

The graph represents the money in a savings account.

What is the y-intercept and what does it represent in this graph?

a)

The initial deposit was $30

b)

$30 is added to the account each week

c)

It took 30 weeks to same enough money to open an account

d)

not enough information

52.

Janice is saving money for retirement. The equation y = 500x + 12,000 models her retirement savings where y is the total she has saved in dollars, and x is the number of months.

Which two statements are correct based on the given equation?

a)

Janice started with $500 in her account

b)

Janice started with $12,000 in her account

c)

Each month, Janice saves an additional $500

d)

Each month, Janice saves an additional $12,000

53.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

54.

How much water was in the tank to start?

a)

0 gallons

b)

2 gallons

c)

4 gallons

d)

5 gallons

55.

What is the initial value (y-intercept) ?

a)

50 tiles to start

b)

1 tile to start

c)

200 tiles to start

d)

250 tiles to start

56.

Write an equation in slope intercept form (y=mx+b) that describes the graph shown.

a)

$3x-2y=2$

b)

$y=-\frac{2}{3}x-2$

c)

$y=\frac{2}{3}x+2$

57.

State the line of reflection.

a)

Reflection across y-axis

b)

Reflection across x-axis

c)

Reflection across x = 1

d)

Reflection across y = 1

58.

Is the picture being reflected in the y-axis or x-axis?

a)

y-axis

b)

x-axis

59.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

60.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

61.

Triangle GHI is reflected across the x-axis. What are the coordinates of I'?

a)

(-2, 6)

b)

(2, 6)

c)

(-6, -2)

d)

(6, 2)

Math 8 Final Exam Part 2 Review

Total questions: 61

Worksheet time: 3hrs 47mins

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