Free Printable Math 8 Quarterly 3 Review

1.

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

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

2.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

3.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

4.

Solve the system by substitution.

5x + 4y= −14
y = −7x − 15

a)

(-2, -1)

b)

(1, -2)

c)

(-2, 1)

d)

(-1, -2)

5.

Solve this system of equations.
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

6.

7x + y = -20
y = 3x + 10

a)

(-3, 1)

b)

(-1, -3)

c)

(-3,-7)

d)

(-1,7)

7.

What is the solution to this system?
x= 7 - 2y
2x + y = 5

a)

(-1,4)

b)

(4,-1)

c)

(1,3)

d)

(3,1)

8.

For his parents' anniversary party, Felix is considering using one of two venues. A hotel in Arcadia will cost $400 for a reservation, plus $30 per person. A restaurant in the same city will cost $10 per person, in addition to $800 for the reservation. In order to make the best decision, Felix figures out how many guests it would take to have the venues cost the same amount. How many guests would that be?

Write a system of equations in order to determine the solution.

a)

20 guests

b)

1000 guests

c)

1200 guests

d)

200 guests

9.

Solve using elimination.
4x + 8y = 20
-4x + 2y = -30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

10.

-4x - 6y = 6
4x + 6y = -4

a)

no solution

b)

(2,0)

c)

(-4,0)

d)

(0,0)

11.

Solve by elimination
-6x + 5y = 1
6x + 4y = -10

a)

(1,-1)

b)

(0,-1)

c)

(1,1)

d)

(-1,-1)

12.

Solve by elimination:
3x+7y=23

-3x-7y=-17

a)

No solution

b)

ARN

c)

(-3,3)

d)

(3,3)

13.

Solve the system of equations using the elimination method.
$10x+12y=-26$
$-6x+6y=-24$

a)

(3,1)

b)

(1,-3)

c)

(1,3)

d)

(4,18)

14.

Solve the system of equations by elimination.
$3x-3y=4$

$-3x+3y=3$

a)

$0\ne7$ no solution

b)

(0,0)

c)

(0,7)

d)

(7,0)

15.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

16.

Will the solution (-3, -7) make the following system of equations a true statement?
y = 4x + 5
y = x – 4

a)

YES

b)

NO

17.

What point is a solution to the system of equations below?

3x + 2y = 16

7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

18.

Solve the system and determine the number of solutions it has. If it has one solution, name it.
$4x-6y=12$
$-2x+3y=-6$

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution; (6,2)

d)

One Solution; (3,0)

19.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

20.

Is this graph a function or not a function? (Use the vertical line test)

a)

Function

b)

Not a Function

21.

Is this graph a function or not a function? (Use the vertical line test)

a)

Function

b)

Not a Function

22.

Which table represents a function?

a)

b)

c)

d)

23.

Which relation is a function?

a)

{(2, 3) , (1, 5) , (2, 7)}

b)

{(-1, 5) , (-2, 6) , (-3, 7)}

c)

{(11, 9) , (11, 5) , (9, 3)}

d)

{(3, 8) , (0, 8) , (3, -2)}

24.

Which relation is a function?

a)

b)

c)

d)

25.

Which relation does the mapping show?

a)

{(0, 1), (1, 2),(3, 4)}

b)

{(1, 0), (2, 1), (2, 2), (4, 3)}

c)

{(0, 1), (1, 2), (2, 2), (3, 4)}

d)

{(1, 0), (2, 1), (4, 3)}

26.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

27.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

28.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

29.

.

a)

Function

b)

Not a Function

30.

Is the relation a function? Why.

a)

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

b)

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

c)

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

d)

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

31.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

32.

Which equation is being represented by this line?

a)

y = -1x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

33.

Which equation best represents the line on the graph?

a)

y= 1/2x

b)

y= -1/2x

c)

y = 2x

d)

y = -2x

34.

Find the slope of the line.

a)

3/2

b)

-43/2

c)

2

d)

-2

35.

Find the value of y when x = 2.

a)

2

b)

6

c)

7

d)

8

36.

Which equation is being represented by this line?

a)

y = -1x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

37.

Which graph represents $y=-\frac{3}{2}x+4$

a)

b)

c)

d)

38.

Which graph represents the equation $y=4x-1$

a)

b)

c)

d)

39.

Which graph represents $y=\frac{1}{2}x+2$

a)

b)

c)

d)

40.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

41.

What is the equation of the line?

a)

y = -3/4x + 3

b)

y = 4/5x + 3

c)

y = -4/5x + 3

d)

y = -4/5x

42.

Which equation matches the table?

a)

y = 3x + 9

b)

y = x + 9

c)

y = x + 3

d)

y = 12x - 3

43.

What is the equation of the linear function?

a)

y = -3x + 10

b)

y = -3x + 16

c)

y = 3x + 10

d)

y = 3x + 16

44.

Given the table, write the equation in the slope-intercept form.

a)

y = 1/3x + 6

b)

y = 3x + 6

c)

y = 2x + 6

d)

y = 1/2x + 6

45.

Write a linear equation in the form of y=mx+b

a)

y = 2x + 2

b)

y = 2x - 2

c)

y = x + 2

d)

y = 3x - 2

46.

Write a linear equation in the form of y=mx+b

a)

y= 3x + 5

b)

y = 5x - 3

c)

y = 2x + 3

d)

y = 5x + 3

47.

Which equation matches the graph? (Click me to see the image)

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

48.

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

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

49.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

50.

Is the function represented by the table linear or nonlinear?

a)

Linear

b)

Nonlinear

51.

Is the function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

52.

Why is this function linear?

a)

This is a linear function because it does not have a constant rate of change

b)

This is a linear function because it creates a curved line.

c)

This is a linear function because it have a constant rate of change.

d)

This is a linear function because it's y-intercept is (0,2)

53.

Is the graph pictured a linear or nonlinear function?

a)

Linear

b)

Nonlinear

54.

Is the table linear or nonlinear?

a)

Linear

b)

Nonlinear

55.

a)

Function

b)

Not a Function

56.

Is the function $y=\frac{8}{x^2}$ linear or nonlinear?

a)

Linear

b)

Nonlinear

57.

Which equation represents y as a linear function of x?

a)

y=8x

b)

x=5

c)

y=4x²

d)

y=x³

58.

Is the function represented by the equation linear or nonlinear?

a)

linear

b)

nonlinear

59.

Is the function represented by the equation linear or nonlinear?

a)

linear

b)

nonlinear

60.

Which graph(s) show nonlinear functions?

a)

Graph I, only

b)

Graph II, only

c)

Graph I and Graph II, only.

d)

Graph I, Graph II, and Graph III

61.

Which of the function(s) above are linear?

a)

Function I, only

b)

Function II, only

c)

Function I and Function II, only

d)

Function I, Function II, and Function III

62.

When multiplying powers of the same base, such as (x²)(x), you will _____________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

63.

When dividing powers of the same base, such as x³/x⁵, you will _____________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

64.

When raising a power to a power, such as (x³)⁵ you will __________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

65.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

66.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

67.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

68.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

69.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

70.

a)

b)

c)

d)

71.

x^-3

a)

-x³

b)

1 / x³

c)

1 / x^-3

d)

-x^-3

72.

a)

b)

c)

d)

73.

a)

b)

c)

d)

74.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

75.

Write with positive exponents:

1/a^-2

a)

a^-2

b)

a²

c)

1/a¹

76.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

77.

Simplify

a)

x⁴/3

b)

3x¹⁰

c)

36x¹⁰

d)

3x⁴

78.

a)

2 / x²

b)

-2x²

c)

2x²

d)

2x¹⁴

79.

a)

m⁴

b)

m⁶

c)

m¹⁰

d)

1/m⁶

80.

(2x⁷)³

a)

6x²¹

b)

8x²¹

c)

6x¹⁰

d)

8x¹⁰

81.

(x²)⁶

a)

x¹²

b)

x⁸

c)

x²⁶

d)

x⁴

82.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

83.

Simplifies to:

a)

$6^{-6}$

b)

$\frac{1}{6^6}$

c)

$6^{-5}$

d)

$6^1$

84.

Write 0.000972 in scientific notation.

a)

9.72 x 10^-4

b)

9.72 x 10^-3

c)

972 x 10^-4

d)

9.72 x 10⁴

85.

Write 0.037 in scientific notation.

a)

3.7 x 10^-2

b)

3.7 x 10²

c)

37 x 10^-3

d)

37 x 10³

86.

Write 2.08 x 10²in standard form.

a)

208

b)

0.0208

c)

20,800

d)

0.208

87.

How would you write 50,000 in scientific notation?

a)

50 x 10⁵

b)

5 x 10⁴

c)

5 x 10³

d)

.5 x 10³

88.

How do you write
8.317 x 10⁶in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

89.

Light travels at a rate of 186,000 miles per second. Write this number in scientific notation.

a)

1.86 x 10⁵

b)

1.86 x 10⁴

c)

18.6 x 10⁴

d)

186 x 10³

90.

What is the standard form of the number?

9.4\ \times\ 10^{-3}

(a)

91.

Compare the two numbers:

$3.5\ \times\ 10^3$ _________ $3.2\ \times\ 10^3$

a)

<

b)

>

c)

=

92.

Compare the two numbers:

$9.87\ \times\ 10^5$ _________ $8.1\ \times\ 10^6$

a)

<

b)

>

c)

=

93.

What is the correct scientific notation for the number?

430,000

a)

$4.3\ +\ 10^5$

b)

$4.3\ \times\ 10^4$

c)

$4.3\ \times\ 10^5$

d)

$4.3\ \times\ 10^6$

94.

Compare the two numbers:

$9.87\ \times\ 10^{-5}$ _________ $8.1\ \times\ 10^{-6}$

a)

<

b)

>

c)

=

95.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

96.

UNDERSTANDING
If the exponent is a positive number...

a)

you will get a large number

b)

you will get a smaller number

97.

UNDERSTANDING
If the exponent is a negative number...

a)

you will get a large number

b)

you will get a small number

98.

Level 2

(2 x 10⁹)(4 x 10^-4)

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

99.

Level 2

(5.3 x 10²) x (1.0 x 10²)

a)

5.3 x 10⁴

b)

5.3 x 10²

c)

6.3 x 10²

d)

53 x 10⁴

100.

Level 3

(2.2 x 10⁵) x (4.5 x 10²).

a)

9.9 x 10¹⁰

b)

6.7 x 10⁷

c)

9.9 x 10⁵

d)

9.9 x 10⁷

101.

(5x10¹⁰) x (3x10⁷)

a)

15x10¹⁷

b)

1.5x10¹⁷

c)

1.5x10¹⁸

d)

1.5x9¹⁷

102.

(2 × 10^-4)(8.1 × 10^-1)

a)

10.1 × 10^-5

b)

1.62 × 10⁴

c)

1.62 × 10^-5

d)

1.62 × 10^-4

103.

$\frac{1.05\times10^{12}}{5\times10^4}$

a)

$0.21\times10^3$

b)

$2.1\times10^7$

c)

$0.21\times10^8$

d)

$2.1\times10^9$

104.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

105.

a)

10.6 x 10²

b)

3.1 x 10^-2

c)

5.4 x 10^-2

d)

3.1 x 10²

106.

(3 × 10^-2) ÷ (8 × 10^-1)

a)

3.75 × 10²

b)

3.75 × 10^-1

c)

3.75 × 10^-2

d)

3.75 × 10^-3

Math 8 Quarterly 3 Review

Total questions: 106

Worksheet time: 7hrs 48mins

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