Free Printable Benchmark Review

1.

Simplify by combining like terms.
m + 9 - 4m

a)

5m

b)

m + 5m

c)

-3m + 9

d)

4m

2.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

3.

Which expression is equivalent to $8c\ +\ 6\ -\ 3c\ -\ 2?$

a)

$5c+4$

b)

$5c+8$

c)

$11c+4$

d)

$11c+8$

4.

Simplify by combining like terms.
-14w + 8 + 9w - 2

a)

23w + 6

b)

-23w + 6

c)

-6w + 7

d)

-5w + 6

5.

Combine Like Terms

30 + 80k + 9k + 27

a)

57 + 89k

b)

57 + 720k

c)

30 + 80k

6.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

7.

Simplify the following expression by combining like terms:

-10x + 15 - 3x + 2

a)

$13x^2+17$

b)

$-13x\ +17$

c)

$-13x+13$

d)

-7x+17

8.

A variable can be _______?

a)

Any number

b)

Any letter of the alphabet

c)

only X

d)

only 1

9.

Simplify: 5 + 11y + 2

a)

5 + 11y

b)

18y

c)

11y + 7

d)

11y + 3

10.

Simplify: 15x + 19 + 2x + 4

a)

17x + 15

b)

17x + 23

c)

30x + 15

d)

13x + 15

11.

A number by itself with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

12.

Simplify the expression completely.

3z+9+5z-4

a)

$8z+5$

b)

$8z+13$

c)

$13z$

d)

$21z$

13.

Simplify the expression completely.

t+2+6t

a)

$9t$

b)

$12t$

c)

$7t+2$

d)

$18t$

14.

Combine like terms to simplify the expression: 8 + 5x - 3 - 2x

a)

-3x² - 11

b)

3x² + 5

c)

11 - 3x

d)

5 + 3x

15.

Combine like terms to simplify the expression: 3r - 2r + 5

a)

5r + 5

b)

r + 5

c)

5r - 5

d)

5

16.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

17.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

18.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

19.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

20.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

21.

What is the first step in solving a multi-step equation?

a)

Distribution (If necessary)

b)

Combine Like Terms

c)

Move the variable

d)

Move the constant

22.

What is the second step in solving multi-step equations?

a)

Distribution (if necessary)

b)

Combine Like terms

c)

Move Variable

d)

Solve! With SADMEP

23.

Solve

-19 = -8 (-4+a) - (2a+1)

a)

-1

b)

14

c)

-5

d)

5

24.

Solve

-19 = -8 (-4+a) - (2a+1)

a)

-1

b)

14

c)

-5

d)

5

25.

Solve

-124 = 4 (1+ 8k)

a)

-11

b)

10

c)

-4

d)

-2

26.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

27.

Is 7 a solution to the equation?

3x+8-x = 5x-4

a)

yes

b)

maybe

c)

no

28.

Solve the equation:

2(x + 3) = 8

a)

2.5

b)

1

c)

7

d)

5.5

29.

3x + 2(4x - 4) = 3

What is the solution to the equation?

a)

4

b)

3

c)

2

d)

1

30.

8v - 4(v + 8) = 8

What is the solution to the equation?

a)

2

b)

10

c)

4

d)

-4

31.

2x + 3(5x - 7) = 47

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

32.

3(4r - 1) + 5 = 26

a)

-1

b)

2

c)

-2

d)

4

33.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

34.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

35.

Solve the equation:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

36.

s - 10 ≤ 1

a)

s ≤ 11

b)

s ≤ 9

c)

s ≥ 11

d)

s ≥ 9

37.

What inequality does the number line graph represent?

a)

$x\le-4$

b)

$x\ge-4$

c)

x < -4

d)

x < 4

38.

What inequality does the number line graph represent?

a)

$x\ge3$

b)

x > 3

c)

x < -3

d)

$x\le3$

39.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

40.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

41.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

42.

Solve the inequality.

$-4d\ -\ 9\ \le\ 3$

a)

$d\ \le3$

b)

$d\ \le-3$

c)

$d\ \ge\ 3$

d)

$d\ \ge\ -3$

43.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

44.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

45.

$6x>12$

a)

$x<2$

b)

$x\le2$

c)

$x>2$

d)

$x\ge2$

46.

$\frac{b}{2}<13$

a)

$b<26$

b)

$b\le26$

c)

$b>26$

d)

$b\ge26$

47.

Solve and graph.
k - 13 > -51

a)

A

b)

B

c)

C

d)

D

48.

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

49.

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.

50.

a)

Function

b)

Not a Function

51.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

52.

Is this table a function or not a function?

a)

Function

b)

Not a Function

53.

Is this table a function or not a function?

a)

Function

b)

Not a Function

54.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

55.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

56.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

57.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

58.

Give the domain and range. Tell if it is a function.

a)

D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function

b)

D: {-4, -2, 0, 2}
R: {-2, 1}
Function

c)

D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function

d)

D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function

59.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

60.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

61.

a)

Function

b)

Not a Function

62.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

63.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

64.

Which of these tables represent a function?

a)

A

b)

B

c)

C

d)

D

65.

Which of these set of coordinates represent a function?

a)

A

b)

B

c)

C

d)

D

66.

How do you determine if a relation is a function?

a)

The vertical line test crosses more than one point on the graph.

b)

The same y-values are mapped from the same x-values.

c)

The vertical line test crosses only one point on the graph.

d)

Each input is related to more than one output.

67.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; there is a line connecting the dots.

68.

Identify the domain of the following relation:

a)

-6, 14, 2, 28

b)

(-6,14), (0,32), (2,38), (4,44)

c)

-6, 0, 2, 4

d)

14, 32, 38, 44

69.

What is the range of the following graph?

a)

all real numbers

b)

all integers

c)

any real number greater than zero

d)

it can not be determined

70.

What is the Range?

a)

y ≥ 6

b)

$y\le6$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

71.

What is the range of this function?

a)

-4 ≤ y ≤ 5

b)

-1 ≤ x ≤ 3

c)

All Real Numbers

d)

y ≥ -4

72.

Find the DOMAIN

a)

{-5, -2, 1, 4}

b)

{1, -2, 4, -5}

c)

{-1, 0, 2, 3}

d)

{0, -1, 2, 3}

73.

Find the RANGE

a)

{-5, -2, 1, 4}

b)

{1, -2, 4, -5}

c)

{-1, 0, 2, 3}

d)

{0, -1, 2, 3}

74.

What is the Range?

a)

y ≥ 6

b)

y ≤ 6

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

75.

What is the domain?

a)

{-4, -1, 0, 2, 7}

b)

{-5, -4, -1, 0, 1, 2, 4, 7}

c)

{-5, 0, 1, 2, 4}

d)

{5}

76.

Find the Range.

a)

All Real numbers

b)

0 < y < 11

c)

y ≥ 0

d)

y > 0

77.

All of the y values or outputs are called what?

a)

Domain

b)

Range

78.

All of the x values or inputs are called what?

a)

Domain

b)

Range

79.

Match the Graph with its slope.

a)

1.

Negative

b)

2.

Positive

c)

3.

Zero

d)

4.

Undefined

80.

Slope is know as

rise/______

a)

run

b)

fall

c)

none

d)

rise

81.

Find the slope of the line below using rise/run.

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

3

d)

$\frac{1}{3}$

82.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

83.

What is the formula for finding slope?

a)

$y=mx+b$

b)

$Ax+By=C$

c)

$\frac{y_2-y_1}{x_2-x_1}$

84.

What is the slope of a line between (-4,14) and (-16,8)?
Reminder!

Formula:

$m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}$

(a)

85.

Find the slope. Simplify, if you can.

a)

$\frac{2}{5}$

b)

$\frac{5}{2}$

c)

$2\ \frac{1}{2}$

d)

2

86.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

87.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

88.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

89.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

90.

What is the y-intercept of the line with the equation
$y\ =\ -2x\ +\ 4$

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

91.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

92.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

93.

Write the equation of the graph in slope-intercept form

a)

$y=-2x-4$

b)

$y=2x\ -\ 4$

c)

$y=\frac{1}{2}x-4$

d)

$y=-\frac{1}{2}x-4$

94.

Find the slope from the given points:

(3,-1) (4,7)

(a)

95.

Using the equation $1=8\left(-3\right)+b_{\ }$ what is the y intercept?

(a)

96.

Find the y-intercept of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

b = -6

b)

b = -7

c)

b = 6

d)

b = 7

97.

Write the equation in slope intercept form of a line that passes through the given pair of points: (0,-1) and (2,1)

a)

y =x + 1

b)

y = x - 1

c)

y = -x + 1

d)

y = -x - 1

98.

Write a equation: A plumber charges $50 for a house call plus $12 per hour for labor.

a)

y = 50 x + 12

b)

y =12 x + 50

c)

y = 62 x

d)

x = 50 + 12y

99.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

100.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

101.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

102.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

103.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

104.

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

105.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

106.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

107.

What is the slope represented in the table?

a)

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

b)

slope: $2$

c)

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

d)

slope: $-2$

108.

What is the Slope represented in this table?

a)

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

b)

slope: $-4$

c)

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

d)

slope: $4$

Benchmark Review

Total questions: 108

Worksheet time: 4hrs 44mins

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