Free Printable Bench Mark Review

1.

Nine more than a number

a)

9x

b)

9 - x

c)

9 + x

d)

9 + 9

2.

Eleven less than three times a number

a)

11x - 3

b)

3 - 11x

c)

11 - 3x

d)

3x - 11

3.

Fifty divided by two times a number

a)

100/2

b)

50/2x

c)

2x/50

d)

50x/2

4.

Six is fifteen less than three times a number.

a)

6 = 3x - 15

b)

6 = 15 - 3x

c)

6 - 15 = 3x

d)

15 - 6 = 3x

5.

Simplify: (4+5) ÷ 3 x 6 - 6

a)

0

b)

12

c)

6

d)

8

6.

Combine the like terms to create an equivalent expression of:
3d + 4g - 2d + 7g + 5

a)

5d + 11g + 5

b)

5d - 11g + 5

c)

d + 11g +5

d)

d + 16g

7.

Use the distributive property and combine the like terms to create an equivalent expression of:
4(3m + 5) + 5

a)

12m + 25

b)

12m + 40

c)

3m + 40

d)

3m + 25

8.

Use the distributive property and combine the like terms to create an equivalent expression of:
8c + 9(c + 2)

a)

17c + 16

b)

8c + 16

c)

17c + 2

d)

17c + 18

9.

Evaluate 5m when m=8

a)

58

b)

13

c)

85

d)

40

10.

Evaluate 8 + g when g=28

a)

36

b)

288

c)

20

d)

828

11.

Solve 3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

12.

Solve:
10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

13.

Solve:
8w - 8 = -4w + 16

a)

8

b)

16

c)

24

d)

2

14.

10(h+1)-4=76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

15.

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

a)

$x\ge2$

b)

$x\le-2$

c)

$x\ge-2$

d)

$x\le2$

16.

$4x-6>6x-20$

a)

$x<7$

b)

$x<-7$

c)

$x>7$

d)

$x>-$

17.

$-2\left(x+7\right)\le-8$

a)

$x\le3$

b)

$x\ge3$

c)

$x\ge-3$

d)

$x\le-3$

18.

$-4\left(x+3\right)\ge3\left(x-4\right)$

a)

$x\ge0$

b)

No Solution

c)

$x\le0$

d)

Many Solutions

19.

Select the graph the correctly identifies the solution to:

-10r-37>3

a)

b)

c)

d)

20.

Select the graph the correctly identifies the solution to:

2\left(x+6\right)<-6

a)

b)

c)

d)

21.

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

22.

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.

23.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

24.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

25.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

26.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

27.

f(x)=2x+1
If f(x)=4, what is the value of x?

a)

3/2

b)

2

c)

1/2

d)

4

28.

If f(x)=3x-9, find f(5).

a)

f(5) = 6

b)

f(5) = 16

c)

f(5) = -4

d)

f(5) = 24

29.

If f(x)=2x+25, find f(5).

a)

f(5) = 60

b)

f(5) = 40

c)

f(5) = -15

d)

f(5) = 35

30.

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

c)

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

31.

What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)

a)

-4, 4, 8, 9

b)

-2, 3, 8, 10

c)

(9, -2) ( 4, 3)

d)

(8, 10) (-4, 8)

32.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

33.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

34.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

35.

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

36.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

37.

What is the Slope represented in this table?

a)

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

b)

slope: $-4$

c)

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

d)

slope: $4$

38.

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

a)

2

b)

3

c)

5

d)

Cannot be Determined

39.

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

40.

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

41.

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₎

42.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

43.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

44.

Write the equation of the graph.

a)

$y=2x+3$

b)

$y=-2x-3$

c)

$y=\frac{1}{2}x+3$

d)

$y=-\frac{1}{2}x-3$

45.

Write the equation of the graph

a)

$y=3x+2$

b)

$y=-3x+2$

c)

$y=\frac{1}{3}x+2$

d)

$y=-\frac{1}{3}x+2$

46.

Is the given table a direct variation? If so, what is the constant?

a)

Yes; 1/4

b)

Yes; 4

c)

Yes; 2

d)

No

47.

What is the constant (k) in this inverse variation?
y = 400/x

a)

x

b)

y

c)

400

d)

Not enough information given

48.

The equation
xy = 25 represents:

a)

direct variation

b)

inverse variation

c)

joint variation

d)

none of these

49.

What kind of equation is this?
xy=8

a)

Linear Equation

b)

Direct Variation

c)

Inverse Variation

d)

Joint Variation

50.

Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?

a)

14

b)

10

c)

2

d)

-14

51.

y varies directly as x, if y=12 when x=5, find y when x=3

a)

36/5

b)

15/12

c)

12/5

d)

12/15

52.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

53.

The sales at a baseball game vary directly with the number of people attending. If sales for a game are $12,000 when 800 people attend, determine attendance if sales are $30,000

a)

1200 people

b)

1500 people

c)

2000 people

d)

2400 people

54.

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?

a)

5.33 hours

b)

6.75 hours

c)

12 hours

d)

10 hours

55.

Determine if the following graph is a direct, inverse, or neither variation.

a)

Direct Variation

b)

Inverse Variation

c)

Neither

56.

Determine if the following graph is a direct, inverse, or neither variation.

a)

Direct Variation

b)

Inverse Variation

c)

Neither

57.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

58.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

59.

The ordered pair that satisfies BOTH equations in the system is called the _____________________

a)

system of equations

b)

function

c)

graph

d)

solution

60.

Solve for x and y using Substitution.

y = 2/3x - 2 y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

61.

Solve for x and y using Substitution

3x + 2y = 16 7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

62.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

63.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

64.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3x + 2y = 315
2x + 4y = 450

b)

3x + 2y = 450
2x + 4y = 315

c)

2x + 2y = 315
3x + 4y = 450

65.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

a)

y = 9.65 + x
y = 8.40 + x

b)

y = 9.65x + 43
y = 8.40x + 58

c)

y =9.65x
y = 8.40x

d)

y = 9.65x - 43
y = 8.40x - 58

Bench Mark Review

Total questions: 65

Worksheet time: 3hrs 25mins

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