Free Printable Foundations of Math 1

1.

-10+4

a)

-14

b)

14

c)

-6

d)

6

2.

18 - (-4)

a)

-22

b)

4

c)

22

d)

-4

3.

-20+(-11)

a)

31

b)

9

c)

-9

d)

-31

4.

-9 + 9

a)

18

b)

-18

c)

0

d)

81

5.

(-25) ÷ (-5)

a)

5

b)

-5

c)

-20

d)

-30

6.

-3(-4)

a)

-12

b)

7

c)

-7

d)

12

7.

Evaluate:
−30÷2

a)

−15

b)

15

c)

10

d)

−10

8.

-20 x 0

a)

20

b)

-20

c)

0

d)

-19

9.

-7 - (-2) = ?

a)

9

b)

-9

c)

-5

d)

5

10.

12 x -4

a)

-24

b)

-36

c)

-60

d)

-48

11.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

12.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

13.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

14.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

15.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

16.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

17.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

18.

10. x / 2 - 5 = 3

a)

x = -2

b)

x = 2

c)

x = 16

d)

x = 8

19.

Translate into an expression:
two more than three times x

a)

3x-2

b)

2>3x

c)

2+3x

d)

2(3x)

20.

Translate into an expression:
4 less than two times a number

a)

4-2x

b)

4<2x

c)

2x-4

d)

2-4

21.

Solve: 3(x-4) = -3

a)

3

b)

-3

c)

5

d)

-5

22.

2x - 3 + 4x = 27

a)

x= 12

b)

x = 4

c)

x = 5

d)

x = 15

23.

-11 + 3(b + 5) = 7

a)

b = 1

b)

b= -1

c)

b = 3

d)

b = -3

24.

2. Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?

a)

96h + 15 = 8

b)

h/96 = 8

c)

8h + 15 = 96

d)

h/8 = 96

25.

Translate:
Four times a number plus six IS 30.

a)

4 + 6 = 30

b)

4x + 6 = 30

c)

x + 4 times 6 = 30

d)

30 = 4x

26.

Solve for x.

a)

55

b)

60

c)

15

d)

35

27.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

28.

Solve.

a)

x = 24

b)

x = 12

c)

x = 35/2

d)

x = 39/2

29.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

30.

10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

31.

Solve the equation
12x - 15 = 3(2x+3)

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

32.

-6(1 - 6r) = -2(r + 3)

a)

14

b)

0

c)

-11

d)

4

33.

-3(1+n) - 2n = -6(n - 2)

a)

15

b)

4

c)

-2

d)

7

34.

6(5g+ 2)=30g

a)

g=2

b)

g=12

c)

all real numbers

d)

no solution

35.

a)

11

b)

46

c)

75

d)

58

36.

Allison works as a baby-sitter and makes $4.00 an hour. So far, she has earned $32.00 from her baby-sitting jobs. If she continues to baby-sit, which equation represents the relationship between her total earnings (y) and the number of hours she baby-sits (x)?

a)

A. y = 32x + 4

b)

B. y = 32 + x + 4

c)

C. y = (32)(4)(x)

d)

D. y = 4x + 32

37.

What is the solution to the equations?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

38.

Solve:
3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

39.

Solve:
2x + 1 = 2x - 1

a)

No Solution

b)

x = 0

c)

Infinitely Many Solutions

40.

What two consecutive even integers have a sum of 90?

a)

30 and 60

b)

43 and 47

c)

44 and 46

d)

10 and 80

41.

Find three consecutive even integers whose sum is 84.

a)

26, 28, 30

b)

28, 30, 32

c)

27, 28, 29

d)

24, 26, 28

42.

The sum of two consecutive integers is 123. What is the smallest of the two integers?

a)

60

b)

61

c)

62

d)

63

43.

Write an equation and solve for the missing angle

a)

39 + 55 + x = 360; x = 266

b)

39 + 55 + x = 180; x = 86

c)

39 + 55 = 94

44.

a)

x < 3

b)

x > 3

c)

x ≤ - 3

d)

x ≥ - 3

45.

a)

x ≤ 0

b)

x < 0

c)

x ≥ 0

d)

x > 0

46.

a)

x > - 4

b)

x < - 4

c)

x ≤ - 4

d)

x ≥ - 4

47.

Match the graph with its inequality.

a)

a < 11

b)

a > 11

c)

a ≥ 11

d)

a ≤ 11

48.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

49.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

50.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

51.

Will my circle be closed•?
5 ≥ x

a)

Yes

b)

No

52.

What inequality does the number line graph represent?

a)

2x +1 < -3

b)

x + 2 < 4

c)

-x + 3 > 1

d)

x + 4 >= 2

53.

Write the following in interval notation
-7 ≤ x < 8

a)

(-7, 8)

b)

[-7, 8)

c)

[-7, 8]

d)

(-7, 8]

54.

Write the following in interval notation
x < 8

a)

(8, ∞)

b)

(8, -∞)

c)

(-∞, 8)

d)

[-∞, 8]

55.

Write the following in interval notation
x ≥ 100

a)

(0, 100]

b)

(∞, 100]

c)

[100, ∞)

d)

(∞, 100)

56.

What interval notation does the number line graph represent?

a)

[∞, -5)

b)

(∞, -5)

c)

[-5, ∞)

d)

(-5, ∞)

57.

Express the following interval in Set notation:
(-7, 15]

a)

-7 ≤ x ≤ 15

b)

-7 < x ≤ 15

c)

-7 ≤ x < 15

d)

-7 < x < 15

58.

3F - 24 = S Solve for F

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

59.

Solve for y: 8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

60.

Solve for the indicated variable.

a)

A = l/w

b)

w = l/A

c)

w = A

d)

w = A/l

61.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

62.

E = mc² solve for m

a)

m = sqrt(E/c)

b)

m = sqrt(E)/c

c)

m = E/c²

d)

m = money

63.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

64.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

65.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

66.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

67.

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

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

68.

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

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

69.

Find the slope of the line that passes through (10, -8) and (1, 12).

a)

20/9

b)

-20/9

c)

4/9

d)

9/4

70.

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

a)

2

b)

3

c)

5

d)

Cannot be Determined

71.

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

72.

Find the slope

a)

-5/7

b)

7/5

c)

-7/5

d)

5/7

73.

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

a)

2

b)

3

c)

5

d)

Cannot be Determined

74.

What is the y-intercept in the equation y= -2x + 5

a)

-2

b)

3

c)

5

d)

Cannot be Determined

75.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

76.

What direction is an undefined slope?

a)

horizontal

b)

vertical

77.

Which of the following are ways to find the rate of change?

a)

change in y over change in x

b)

rise over run

c)

subtract y coordinates over subtract x coordinates

d)

all of the above

78.

At what rate did the rain fall?

a)

2 cm per hour

b)

¹/₄ cm per hour

c)

¹/₂ cm per hour

d)

4 cm per hour

79.

Which statement matches the graph?

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

80.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

81.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

82.

What type of slope?

a)

negative

b)

positive

c)

zero slope

d)

downward slope

83.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

84.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

85.

Find the slope of the line that passes through
(-2, 8) and (0, 8)

a)

0

b)

-2

c)

2

d)

1/2

86.

Find the slope from the table:

a)

-2/5

b)

5/-2

c)

5/2

d)

2/5

87.

Write the equation in slope-intercept form (solve for y):
2y + 4x = 12

a)

y = 12 - 4x

b)

y = 6 - 4x

c)

y = -2x + 6

d)

y = -2x + 4

88.

Which of the following equations is of a line with a slope of -1/2 and a y-intercept of (0, -8)?

a)

y = 1/2x + 8

b)

y = -1/2x - 8

c)

y = -8x - 1/2

d)

y -1/2x = -8

89.

What is the slope of the line through the points (2, 4) and (2, -11)?

a)

m = 0

b)

m = -15/0

c)

m = 13/2

d)

m is undefined

90.

Which runner was faster?

a)

Runner A

b)

Runner B

91.

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

a)

A

b)

B

c)

C

d)

D

92.

Graph y = -3

a)

A

b)

B

c)

C

d)

D

93.

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

94.

Graph x + y = 3
(HINT: Solve for y first!)

a)

A

b)

B

c)

C

d)

D

95.

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

96.

Which equation best represents the line on the graph?

a)

y= 1/2x

b)

y= -1/2x

c)

y = 2x

d)

y = -2x

97.

What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

98.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

99.

Write the equation of the line that passes through the point (4, -2) and has a slope of -1/2.

a)

y = -1/2x + 3

b)

y = -1/2x

c)

y = -1/2x + 4

d)

y = -1/2x - 4

100.

Write the equation of the line that passes through the point (1, -1) and has a slope of -4.

a)

y = -4x + 3

b)

y = -4x - 3

c)

y = -4x + 5

d)

y = -4x - 5

101.

Write the equation of the line that passes through the points (-2, -1) and (0, 5).

a)

y = 3x - 5

b)

y = 1/3x + 5

c)

y = 3x + 5

d)

y = 1/3x

102.

Write the equation of the line that passes through the points
(3, 3) and (4, -1).

a)

y = -4x - 15

b)

y = 1/4x + 15

c)

y = -4x + 15

d)

y = -1/4x - 15

103.

Write in slope-intercept form

(3,4) and (-7,4)

a)

y=4

b)

y=0x+10

c)

y=0

d)

y=0x+0

104.

What is the equation of the line that goes through the points (3,-1) and (2,-4)?

a)

y = 3x - 4

b)

y = -3x + 8

c)

y = 3x - 1

d)

y = 3x - 10

105.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

106.

What is the function of the table?

a)

y=3x+1

b)

y=4x-2

c)

y=x+1

d)

y=x+7

107.

What would the graph of the equation x = -4 look like?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

108.

What would the graph of y = 8 look like?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

109.

If a line goes through the points (4, 5) and (4, 7), what type of line is it?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

110.

Which of the following would be graphed as a horizontal line?

a)

y = -4

b)

x = 7

c)

y = 3x-4

d)

None of the above

111.

Which of the following would represent a vertical line?

a)

y = -5

b)

x = 3

c)

y = 4x +3

d)

None of the above

112.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

113.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

114.

y = 5/7x +2
y = 5/7x - 30
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

Coincidental

115.

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

116.

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

117.

Write an equation for a line perpendicular to
y = -5x + 3 through (-5, -4)

a)

y = -3x + 1/5

b)

y = -3x - 1/5

c)

y = 1/5x - 3

d)

y = -1/5x - 3

118.

Write an equation for a line perpendicular to
y = -5x + 3 through (-5, -4)

a)

y = -3x + 1/5

b)

y = -3x - 1/5

c)

y = 1/5x - 3

d)

y = -1/5x - 3

119.

Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)

a)

y = 2/3x +3

b)

y = -1/3x + 3

c)

y = 1/3x + 3

d)

y = -5/3x + 3

120.

Solve this system of equations by graphing.

y = 4x - 2

y = -x + 3

a)

(-2,-1)

b)

(-1,-2)

c)

(1,2)

d)

(2,1)

121.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

122.

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)

123.

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.

124.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

125.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

126.

Solve the system by graphing:
y = 6x - 4
y = -x + 3

a)

(1, 2)

b)

(2, 1)

c)

(4, 5)

d)

(2, 4)

127.

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

a)

(3, -2)

b)

(3, -3)

c)

(-3, 2)

d)

(-3, -2)

128.

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

a)

(-4, 2)

b)

(4, 2)

c)

(2, -4)

d)

(2, 4)

129.

Which ordered pair is a solution to the system?

a)

(7, -3)

b)

(0, 2)

c)

(2, 0)

d)

No Solution

130.

Which ordered pair is a solution to the system?

a)

(-2, 3)

b)

No Solution

c)

(1, -8)

d)

(-8, 1)

Foundations of Math 1 - Final Exam Review

Total questions: 130

Worksheet time: 5hrs 32mins

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