Free Printable Benchmark 2 Review

1.

Five less than y

a)

5+y

b)

5y

c)

5-y

d)

y-5

2.

Translate: the product of three and four less than a number

a)

$3\left(4-x\right)$

b)

$3\left(x-4\right)$

c)

$3x-4$

d)

$4-3x$

3.

Translate: the sum of eleven and the square root of a number

a)

$\sqrt[]{x+11}$

b)

$\sqrt[]{x}+11$

c)

$x^2+11$

d)

$\left(x+11\right)^2$

4.

Translate: the square of the sum of a number and sixteen

a)

$x^2+16$

b)

$\left(x+16\right)^2$

c)

$\left(x-16\right)^2$

d)

$x^2-16$

5.

Translate: the sum of the cube root of a number and five

a)

$\sqrt[3]{x+5}$

b)

$\sqrt[3]{x}+5$

c)

$\left(x+5\right)^3$

d)

$x^3+5$

6.

Translate: thirteen less than the product of negative six and a number

a)

$13--6x$

b)

$13-6x$

c)

$6x-13$

d)

$-6x-13$

7.

Evaluate the expression below if:

$a=-5,\ b=15,\ c=-10$

$b^2-\left(a+c\right)$

8.

Evaluate the expression below if:

$x=-2,\ y=5$

$4x-8xy+y^2$

9.

Evaluate the expression below if:

$x=-2,\ y=5$

$\left|5y-3\right|+x^3-y$

10.

Evaluate the expression

a)

-5

b)

7

c)

23

d)

25

11.

w(20h) + 2m
w = 3 h = 40
m = 3,000

a)

1,250

b)

8,400

c)

3,430

d)

17

12.

Evaluate the expression given that
m = 10 and n = - 3.

$\frac{1}{2}m+6n+\sqrt{m+6}$

a)

9

b)

$-9$

c)

17

d)

$-11$

13.

2+3=3+2 is an example of ...

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Inverse Property

14.

(3 + 2) + 4 = 3 + (2 + 4) is an example of which property?

a)

Commutative

b)

Associative

c)

Inverse

d)

Transitive

15.

Which property justifies the statement below

3(x + 12) = 3x + 36

a)

Associative Property

b)

Distributive

Property

c)

Reflexive

Property

d)

Transitive

Property

16.

Which property justifies the work between step 1 and step 2?

Step\ 1:\ \ \ \ \ 10-2k=k-5-3k

Step\ 2:\ \ \ \ \ \ 10-2k=-5-2k

a)

Distributive Property

b)

Combine Like Terms

c)

Multiplication Property of Equality

d)

Division Property of Equality

17.

Which property justifies the work shown?

$10-2k=-5-2k$
$10+0k=-5$

a)

Distributive Property

b)

Addition Property of Equality

c)

Subtraction Property of Equality

d)

Multiplication Property of Equality

e)

Division Property of Equality

18.

Which property justifies the work shown?

$8n+42=8\left(n+5\right)$
$8n+42=8n+40$

a)

Distributive Property

b)

Addition Property of Equality

c)

Subtraction Property of Equality

d)

Multiplication Property of Equality

e)

Division Property of Equality

19.

-2 = 4r + s solve for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

20.

Solve for b A=1/2bh

a)

$b=\frac{2h}{A}$

b)

$b=\frac{h}{2A}$

c)

$b=\frac{A}{2h}$

d)

$b=\frac{2A}{h}$

21.

Solve for w P=2l+2w

a)

$w=\frac{2P}{l}$

b)

$w=\frac{2l+P}{2}$

c)

$w=\frac{l+P}{2}$

d)

$w=\frac{P-2l}{2}$

22.

$P=2l+2w\$ Solve for $l$

a)

$l=2P-4w$

b)

$l=\frac{P-2w}{2}$

c)

$l=P-2w$

d)

$l=\frac{P+2w}{2}$

23.

Solve the literal equation for the given variable.

a)

$b=\frac{2A}{h}$

b)

$b=\frac{2}{h}$

c)

$b=2Ah$

d)

$b=\frac{Ah}{2}$

24.

$\frac{x+6}{x}=\frac{10}{7}$

(a)

25.

$\frac{6}{b+9}=\frac{4}{b+5}$

(a)

26.

Solve for x. $\frac{x-5}{x+4}=\frac{2}{3}$

a)

15

b)

1

c)

46

d)

23

27.

Solve for x:
4(1-x) + 3x = -2(x+1)

a)

x = -6

b)

x = 6

c)

x = 3

28.

Solve:
5y + 34 = -2(-7y+1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

29.

What is the error?

a)

Adding 2x to 3x

b)

Subtracting 5 from both sides

c)

Adding 2x to -2x

d)

Dividing by 5 on both sides

30.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

31.

Solve for x:
4(1-x) + 3x = -2(x+1)

a)

x = -6

b)

x = 6

c)

x = 3

32.

$33+38x-18-12x=27x+32$

(a)

33.

Given the perimeter is 100, find the value of x.

a)

100

b)

30

c)

3

d)

110

34.

The perimeter is 82 ft. What is the length of the longer side?

a)

13

b)

22

c)

28

d)

31

e)

34

35.

Match each verbal expressoin to its corresponding algebraic expression

a)

Triple the difference of a number and 4

1.

3(x - 4)

b)

Four more than the product of a number and 3

2.

3x + 4

c)

Four less than the quotient of a number and three

3.

$\frac{x}{3}-4$

d)

The product of a number and 4 increased by 3

4.

4x + 3

36.

How many solutions would this system of equations have?

9y+8=9y-8

a)

No Solution

b)

One Solution

c)

Infinite Solution

37.

How many solutions would this system of equations have?

-10y-6 = -10y-6

a)

No Solution

b)

One Solution

c)

Infinite Solutions

38.

How many solutions would this system of equations have?

6m+18=2m+18

a)

No solution

b)

One Solution

c)

Infinite Solutions

39.

How many solutions would this system of equations have?

a)

No Solution

b)

One Solution

c)

Infinite Solutions

40.

How many solutions would this system of equations have?

a)

No Solution

b)

One Solution

c)

Infinite Solutions

41.

Match the following correctly.

a)

$-5=-5$

1.

Infinite Solutions

b)

$0=3$

2.

No Solution

c)

$x=12$

3.

One Solution

42.

Consider the unfinished equation: $12\left(x-3\right)+18=$ ________. Match the following expression with the number of solutions the equation would have with that expression on the right hand side.

a)

$6\left(2x-3\right)$

1.

Infinite Solutions

b)

$4\left(3x-3\right)$

2.

No Solution

c)

$4\left(2x-3\right)$

3.

One Solution

43.

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.

44.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

45.

Is this table a function or not a function?

a)

Function

b)

Not a Function

46.

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)

47.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

48.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

49.

What is the range of the graph?

a)

-4 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

50.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

51.

If f(x) = 7, what is the value of x?

6x - 5 = f(x)

a)

2

b)

3

c)

6

d)

12

52.

If f(x) = 1, what is the value of x?

$f\left(x\right)=x-7$

53.

If f(x) = -4, what is the value of x?

$f\left(x\right)=-4+\frac{x}{3}$

a)

0

b)

1

c)

-3

d)

3

54.

Evaluate f(-5) if f(x) = -2x - 12

a)

-22

b)

-2

c)

-19

d)

-5

55.

For the function f(x) = -3(x-1) find f(0).

a)

0

b)

-3

c)

3

d)

-1

56.

Evaluate f(-2) if f(x) = x²+ 3

a)

-1

b)

1

c)

7

d)

-7

57.

What is the domain of the function?

a)

{x| x = all real numbers}

b)

{x| -2 < x < 4}

c)

{x| -2 ≤ x ≤ 4}

d)

{x| -6 ≤ x ≤ 3}

58.

What is the range of this functions?

a)

{y| -6 ≤ y ≤ 3}

b)

{y| -6 < y < 3}

c)

{y|y = all real numbers}

d)

{y| -2 ≤ y ≤ 4}

59.

What is the Domain?

a)

All real numbers

b)

x > 3

c)

x = 4

d)

x ≥ 3

60.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

61.

Identify the range of the following function when given the domain { 2, 3, 10}:
y = 4x - 12

a)

4, 12, 20

b)

-20, 0, 28

c)

-4, 0, 28

d)

8, 12, 40

62.

What is the range of the table?

a)

{-4, 0, 1, 3}

b)

{-2, 0, 2, 3}

c)

{-4, -2, 0, 1, 2, 3}

d)

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

63.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

64.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

65.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

66.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

67.

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

68.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

69.

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

a)

b)

c)

d)

70.

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)

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

71.

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

72.

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

73.

Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?

a)

y-8=5(x-3)

b)

y=5x+8

c)

y-3=5(x-8)

d)

y-y₁₌ m(x-x₁₎

74.

Write an equation in point slope form of equation of line

point (7,10) and has a slope of -2?

a)

y-10 = -2(x+7)

b)

y-10 = -2(x-7)

c)

y+10 = -2(x+10)

d)

y -10 = -2x+2

75.

Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0

a)

y=-3

b)

y=3x

c)

y=-3x

d)

x=-3

76.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

77.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

78.

Which equation is steeper?

Equation A: $y=2x-3$ and Equation B: $y=x+3$

a)

Equation A

b)

Equation B

79.

Answer the following given 2 equations.

Equation A: $y=3x+4$ Equation B: $y=x-7$

(Choose one from each choice group and input with a comma between them. Ex: 2,flatter)

Equation A has a slope of (2, 3, 4) times (Flatter, Steeper) than Equation B.

(a)

80.

Answer the following given 2 equations.

Equation A: $y=3x+4$ Equation B: $y=x-7$

Equation A has a y-intercept (higher, lower) than Equation B.

(a)

81.

If the graph of the parent function is shifted 7 units up and is steeper than the parent function, which of these could represent the function?

a)

f(x) = 7x + 3

b)

f(x) = x + 7

c)

f(x) = 3/2x + 7

d)

f(x) = 2/3x + 7

82.

Which represents the parent function shifted down two units?

a)

f(x) = -2x

b)

f(x) = x - 2

c)

f(x) = x + 2

d)

f(x) = 2x

83.

Name the transformation(s):

f(x) = -x + 8

g(x) = x + 4

a)

Reflection

b)

Reflection, vertical shift down 4

c)

Vertical shift down 4

d)

Reflection, vertical shift up 4

84.

Given the graph above, which equation shifts line down 5 units?

a)

y = 4x - 1

b)

y = 2x - 6

c)

y = 4x - 6

d)

y = 2x - 1

85.

Compare the equations f(x) = 12x + 2 and g(x) = 6x – 2. Which best describes the transformation(s) from f(x) to g(x)?

a)

Vertical shift down 2, less steep slope

b)

Vertical shift up 4, double the slope

c)

Vertical shift down 4, half the slope

d)

Steeper by 2

86.

a)

y=-3x+1

b)

y=3x+1

c)

y=1/3x+1

d)

y=-1/3x-1

87.

a)

y=-4x-12

b)

y=4x+12

c)

y=-4x+12

d)

y=-4x+3

88.

a)

y=8x

b)

y=-8x-8

c)

y=8x+8

d)

y=-8x

89.

$x-2y=6$ Standard Form

a)

A

b)

B

c)

C

d)

D

90.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

91.

What is the equation of the line?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

92.

Which type of line runs parallel to the y-axis?

a)

Horizontal line

b)

Vertical line

c)

Both

d)

Neither

93.

What is the equation of the red graph pictured?

a)

y = -4

b)

x = -4

c)

y = 4

d)

x = 4

94.

What is the y-intercept for the given graph?

a)

-5

b)

5

c)

1

d)

-1

95.

What is the x-intercept for the given graph?

a)

1

b)

-2

c)

2

d)

1/2

96.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

97.

What is the x-intercept shown on the graph?

a)

(4, -2)

b)

(0, -2)

c)

(4, 0)

d)

(0, 4)

98.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

99.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

100.

All of the following lines have an undefined slope except for....

a)

y = 3

b)

x = 0

c)

x = -9

d)

x = 2

101.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

102.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

103.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y +7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 4 = -1/4(x - 7)

d)

y - 7 = -1/4(x - 4)

104.

Given y + 6 = 10( x - 9) , what is the point used to write this equation?

a)

(10, 9)

b)

(6, -9)

c)

(-6, 9)

d)

(9, -6)

105.

Level 1: For the equation

y - 3 = 2(x + 4),

which of the following is true?

a)

The line has m = 2 passing through the point (4, -3)

b)

The line has m = 2 passing through the point (3, -4)

c)

The line has m = 2 passing through the point (-4, 3)

d)

The line has m = 2 passing through the point (-3, 4)

106.

Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

107.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

108.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

109.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

110.

If the lines are parallel to each other and the slope of the blue line is 1/4, what is the slope of the purple line?

a)

4

b)

-4

c)

$-\frac{1}{4}$

d)

$\frac{1}{4}$

111.

If the lines are perpendicular to each other and the slope of the blue line is $\frac{1}{2}$ , what is the slope of the purple line?

a)

2

b)

-2

c)

$-\frac{1}{2}$

d)

$\frac{1}{2}$

112.

Are line RS and line TU parallel, perpendicular, or neither if:

R(–2, 3), S(3, 3), T(–3, 1), and U(3, –1)?

a)

parallel

b)

perpendicular

c)

neither

113.

Line a passes through (0, 3) and (-4, 8)

Line b passes through (0, 5) and (5,9)

Lines a and b are ?

a)

Parallel

b)

Perpendicular

c)

Neither

114.

Match the following

a)

1.

Parallel lines

b)

2.

Perpendicular lines

c)

3.

Intersecting lines

115.

Are line A and line B parallel, perpendicular, or neither if:

line A goes through (-1,2) and (3, -6) and

line B has an equation of 3y = -6x + 9?

a)

parallel

b)

perpendicular

c)

neither

Benchmark 2 Review

Total questions: 115

Worksheet time: 10hrs 35mins

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