Free Printable 8/3 Math 1 Review

1.

Translate the following sentence into an equation:

The sum of twice a number x and 13 is two less than 3 times x.

a)

2 (x + 13) + 3x - 2

b)

2x + 13 = 2 - 3x

c)

2x + 13 = 3x - 2

d)

2x + 13 = 3 (x - 2)

2.

The difference of a number x and 2 is 7.

a)

x - 2 = 7

b)

x + 2 = 7

c)

2x = 7

d)

2/x = 7

3.

7 times a number a is 42.

a)

7a = 42

b)

7 + a = 42

c)

7/a = 42

d)

7 - a = 42

4.

To solve the equation below, you would:
x - 62 = 123

a)

add 62 to each side

b)

subtract 62 from each side

c)

multiply each side by 62

d)

Add 123 to each side

5.

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.

6.

2v + 7 = 3

a)

v = -4

b)

v = -2

c)

v = 3

d)

v = 5

7.

4b + 3 = −9

a)

b = -3

b)

b = -6

c)

b = 2/3

d)

b = 4

8.

17 = 5k − 2

a)

k = 3

b)

k = 4 2/5

c)

k = 2 1/5

d)

k = 3 4/5

9.

−6t − 7 = 17

a)

t = -6

b)

t = -2

c)

t = -4

d)

t = 6

10.

−4p + 9 = −5

a)

p = 3.5

b)

p = 4.5

c)

p = 4

d)

p = -5

11.

11 = −5x − 2

a)

x = -2.9

b)

x = -2.3

c)

x = 13

d)

x = -2.6

12.

-3(2c - 5) = 15

a)

-5

b)

5

c)

0

d)

6

13.

2x + 4 + 5x = 13 + 4x

a)

-3

b)

9

c)

3

d)

1

14.

3x - 4(2 + 3x) = 82

a)

no solution

b)

-10

c)

6

d)

18

15.

2x - (3 + 4x) = 11

a)

-4

b)

7/3

c)

-7

d)

-17/8

16.

7(2x - 4) = 42

a)

x= 5

b)

x= 8

c)

x= 2

d)

x= 9

17.

12x = 144

a)

x = 12

b)

x = 4

c)

x = 2

d)

x = 132

18.

-4x + 1 = 21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

19.

5 = 7s - 9

a)

2

b)

6

c)

7

d)

8

20.

Which equation has x = 2 as a solution?

a)

3 + x = 10

b)

11 + x = 13

c)

4x = 32

d)

5x =25

21.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

22.

6p - 5 =13

a)

12

b)

15

c)

3

d)

-3

23.

-8y = -3y -15

a)

3

b)

-3

c)

5

d)

-5

24.

Translate into an expression:
two more than three times x

a)

3x-2

b)

2>3x

c)

2+3x

d)

2(3x)

25.

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

a)

4-2x

b)

4<2x

c)

2x-4

d)

2-4

26.

Simplify:
5(3x+1)

a)

15x+1

b)

15x+5

c)

8x+1

d)

8x+6

27.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

28.

What is the first step to complete when solving this equation?
10 - 3y = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

29.

3b + 6b = 63

a)

-7

b)

9

c)

7

d)

21

30.

-9(x + 5) + 6 = -12

a)

10

b)

3

c)

4

d)

-3

31.

-7(x - 5)

a)

-7x + 35

b)

-7x - 35

c)

-12x

d)

12x

32.

7a - 2b + 6 + 4b - 5a

a)

12a + 6b + 6

b)

24ab

c)

2a + 2b + 6

33.

-5(x + 3)

a)

-8x

b)

-5x + 3

c)

-5x - 15

d)

-5x - 2

34.

Solve for x: 7 (2x - 4) = 42

a)

x = 2

b)

x = 8

c)

x= 5

d)

x = 9

35.

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

a)

subtract 10, and then divide by 7

b)

divide by 7, and then subtract 10

c)

multiply by 7, and then subtract 10

d)

add 10, and then multiply by 7

36.

88 = 25 + x

a)

x = 113

b)

x = -113

c)

x = -63

d)

x = 63

37.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

38.

Solve for b:
3(b - 4) = -3

a)

b = 3

b)

b = -3

c)

b = 5

d)

b = -5

39.

What is the first step to solve this equation:

-3x + 11 = 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.

40.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

41.

What is the first step in solving this equation 8x - 6 = 10

a)

Add 6

b)

Subtract 8

c)

Divide by 8

d)

Subtract 6

42.

Determine if the given value is true or false

6x + 5 = 27; x=4

a)

true

b)

false

43.

What is the first step in the following equation?

-5 + 3x = -18

a)

Divide by 3 on both sides

b)

Add eighteen to both sides

c)

Add five to both sides

d)

Subtract five from both sides

44.

What is the first step in the following equation?

2x - 5 = 13

a)

Subtract five from both sides

b)

Divide by two on both sides

c)

Add five to both sides

d)

Multiply by one-fifth on both sides

45.

What is the second step to the following equation?

-2 - 4x = -14

a)

Divide by negative four on both sides

b)

Multiply by negative four on both sides

c)

Add two to both sides

d)

Subtract fourteen from both sides

46.

What is the second step to the following equation?

3x + 12 = 60

a)

Subtract twelve from both sides

b)

Add twelve to both sides

c)

Multiply by three on both sides

d)

Divide by three on both sides

47.

What is the second step to the following equation?

2/3x + 3 = 15

a)

Add by 3 on both sides

b)

Subtract by 3 on both sides

c)

Multiply by 3/2 on both sides

d)

Divide by 2/3 on both sides

48.

v/5 = 9

a)

v = 45

b)

v = 40

c)

v = 14

d)

v = 4

49.

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.

50.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

51.

What is the inverse operation of multiplication?

a)

Addition

b)

Subtraction

c)

Division

52.

Solve for x. x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

53.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

54.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

55.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

56.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

57.

What type of slope?

a)

zero slope

b)

undefined

c)

negative

d)

positive

58.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

59.

Find the slope given the points (2, −7) and (−1, 6).

a)

-13/3

b)

13/3

c)

0

d)

2/3

60.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5

61.

Find the rate of change

a)

3

b)

-3

c)

-1/3

d)

1/3

62.

a)

0/3

b)

-6/3

c)

-6/7

d)

6/3

63.

Find the slope given the points (-5,-3) and (2,4).

a)

5/4

b)

1/7

c)

-1

d)

1

64.

Find the slope given the points (3,18) and (0,18).

a)

undefined

b)

0

c)

22

d)

6

65.

a)

2/12

b)

2/2

c)

-2/12

d)

-2/2

66.

Find the slope between the two points.

( 2, 7 ) and ( 5, 8 )

a)

¹/₃

b)

^-1/₃

c)

3

d)

-3

67.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

68.

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

a)

2

b)

3

c)

5

d)

Cannot be Determined

69.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

70.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

71.

Write the equation of the line.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

72.

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

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

73.

What is the slope of the line with the equation
$y\ =\ -\frac{3}{2}x\ +\ 4$

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$4$

d)

$-4$

74.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

75.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

8/3 Math 1 Review

Total questions: 75

Worksheet time: 14hrs 3mins

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