Free Printable Exam Study Guide

1.

Use the distributive property to find an equivalent expression: 5(2f + 4)

a)

10f + 4

b)

10f + 9

c)

10f + 20

d)

30f

2.

Find an equivalent expression for the given expression: 36x + 24

a)

4(9x + 7)

b)

4(9x + 8)

c)

2(18x + 12)

d)

12(3x + 3)

3.

Choose the equivalent expression for the given expression: 2(r + y)

a)

3ry

b)

2r + y

c)

2r + 2y

d)

3r + 3y

4.

Use the given expression to answer the following question.
5x + 9 - 4b
There are _________ terms in the given algebraic expression.

a)

2

b)

3

c)

4

d)

5

5.

In the given expression, the 4 and the 8 are the ________________ in the expression.
4r + 8u

a)

variables

b)

terms

c)

coefficients

d)

exponents

6.

In the given expression, the v and the r are called the __________________.
15v - 13r

a)

terms

b)

exponents

c)

coefficients

d)

variables

7.

Which expression represents twice the quantity of 11 less than k.

a)

11 -k

b)

k - 11

c)

2k - 11

d)

2(k-11)

8.

Which answer choice is equivalent to:

12x-16

Select all that apply.

a)

3(4x+5)

b)

3(4x-6)

c)

4(4x-3)

d)

4(3x-4)

e)

8x-(4⋅4)+4x

9.

Which expression is equivalent to 3x + 5 + 7x + 2?

a)

10x + 7

b)

17x

c)

17

d)

15x + 2

10.

Which expression is equivalent to 3a² + 6a + 5a²?

a)

14a²

b)

14a

c)

8a² + 6a

d)

3a² + 11a

11.

Which expression is equivalent to 6y + 22y + y?

a)

28y + 1

b)

29y

c)

22y + 7

d)

29

12.

Which expression is equivalent to 7(3a + 4b)?

a)

21a + 28b

b)

10a + 11b

c)

21a + 4b

d)

10a + 28b

13.

Which expression is equivalent to z + z² + 1?

a)

3z

b)

1 + z + z²

c)

2z + 1

d)

2z² + 1

14.

Which expression is equivalent to 15x + 10 - 6x - 1?

a)

9x + 9

b)

18x

c)

15x - 3

d)

9x + 11

15.

Which expression is equivalent to:
6m − m

a)

5m

b)

7m

c)

8m

d)

5

16.

Which expression is equivalent to:
d + d + d + 3 + 2

a)

3d + 5

b)

d + 5

c)

2d + 7

d)

3d + 4

17.

Which expression is equivalent to:
(e + e) + e

a)

3e

b)

e + 3

c)

5e

d)

2e − e

18.

Which expression is equivalent to:
4s + 4s

a)

8s

b)

8

c)

s

d)

9s

19.

A restaurant received a shipment of five crates of glasses with g glasses in each crate. The manager dropped one crate, breaking all of the glasses inside of it. Which expression shows how many glasses are left?

a)

5g − g

b)

5

c)

4

d)

g

20.

Which answer choice is equivalent to:
5(2x-3)-3x

a)

10x-6

b)

7x-15

c)

6-10x

d)

15-7x

21.

$7x+7+3$

a)

$10+7x$

b)

$7x+10$

c)

$17x$

d)

$8x+10$

22.

$6y+3+2y+2$

a)

$8y+5$

b)

$5+8y$

c)

$13y$

d)

$9y+6$

23.

$10z+12z+6$

a)

$6+22z$

b)

$32z$

c)

$22z+6$

d)

$24z+6$

24.

$2x+8x+5x\ +6$

a)

$6+15x$

b)

$33x$

c)

$15x+6$

d)

$15x+18$

25.

$8x+4+2x+3$

a)

$7+10x$

b)

$6x-1$

c)

$8x+7$

d)

$10x+7$

26.

$3x+2x+3y+2y+10$

a)

$5x+10+5y$

b)

$18+5x+5y$

c)

$5x+5y+10$

d)

$28xy$

27.

$6x-3x+2y-y+8$

a)

$3x+y+8$

b)

$9x+3y+8$

c)

$3x-3y+8$

d)

$-3x+y-8$

28.

$16+7x-5x+4y-2y$

a)

$19xy$

b)

$2x-y-16$

c)

$2x-y+16$

d)

$2x+2y+16$

29.

$x+x+3y+y+10$

a)

$x+y+10$

b)

$-2x-4y+10$

c)

$2x+4y+10$

d)

$2y+2x+10$

30.

$6x+5x+3x+3+5$

a)

$28x$

b)

$8+14x$

c)

$14x+8$

d)

$14x+7$

31.

What is the first step to solve for b:

2b = -16

a)

add 2 to both sides

b)

subtract 2 to both sides

c)

multiply 2 to both sides

d)

divide 2 to both sides

32.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

33.

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

34.

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

a)

96h = 8

b)

h/96 = 8

c)

8h = 96

d)

h/8 = 96

35.

What is the first step to solving this equation?

a)

add -8 to both sides

b)

subtract -8 to both sides

c)

Multiply -8 to both sides

d)

divide -8 to both sides

36.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

37.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

38.

What would be the best first step to solving the equation?

a)

multiply both sides by 3

b)

multiply both sides by 4

c)

divide both sides by 3

d)

divide both sides by 4

39.

In an equation or inequality, you want to get the variable...

a)

on one side

b)

to disappear

c)

by itself

40.

To Solve the Equation Below, you'd
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

41.

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

42.

What is your first step when you solve x + 5 = 12

a)

Add 5 to 5 and add 5 to 5 to 12

b)

Subtract 5 from 5 and subtract 5 from 12

c)

Subtract 12 from 12 and subtract 12 from 5

d)

Add 12 to 12 and add 12 to 5

43.

What is the inverse operation needed to solve for p?
765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

44.

Solve the following equation
X + 8 = 15

a)

23

b)

-7

c)

7

d)

-23

45.

Solve the following equation
8 = m - 12

a)

4

b)

0.5

c)

5.0

d)

20

46.

Solve the following equation
18 = 3b

a)

15

b)

6

c)

21

d)

54

47.

Solve the following equation
2y = 18

a)

36

b)

16

c)

9

d)

20

48.

Solve the following equation
c / 4 = 4

a)

1/4

b)

8

c)

1

d)

16

49.

Solve the equation:
x - 3 = -12

a)

x = 9

b)

x = -15

c)

x = -9

d)

x = 15

50.

Solve the equation:
x - 5.5 = -10.5

a)

x = 15

b)

x = -15

c)

x = 5

d)

x = -5

51.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

52.

Which equation has w = 8 as the solution?

a)

8w= 64

b)

16w = 240

c)

16 - w = 9

d)

4 + w = 10

53.

Solve the equation:
20.5 = x + 4

a)

16.5

b)

16.05

c)

24.5

d)

24.05

54.

The letters that form the word ALGEBRA are placed in a bowl.

What is the probability of choosing a letter that is NOT “A”?

a)

$\frac{2}{7}$

b)

$\frac{5}{49}$

c)

$\frac{5}{7}$

d)

$\frac{10}{49}$

55.

What is the probability of spinning an EVEN number?

a)

16 $\frac{2}{3}$ %

b)

33 $\frac{1}{3}$ %

c)

50%

d)

75%

56.

What is the probability of selecting a brown M&M from this bowl?

4 yellow, 6 orange, 2 brown, 3 green, 5 blue

a)

$\frac{2}{18}$

b)

$\frac{1}{9}$

c)

$\frac{2}{20}$

d)

$\frac{1}{10}$

57.

a)

0%

b)

$\frac{1}{4}$ or 25%

c)

$\frac{1}{2}$ or 50%

d)

100%

58.

Find the probability of rolling greater than a 1 on a single die.

a)

6/6

b)

5/6

c)

4/6

d)

1/6

59.

An event has a 0% chance of happening. This event is ___.

a)

Impossible

b)

Unlikely

c)

As likely as not

d)

Likely

e)

Certain

60.

An event has a 50% chance of happening. This event is ___.

a)

Impossible

b)

Unlikely

c)

As likely as not

d)

Likely

e)

Certain

61.

The likelihood of an event happening is _________.

a)

percentage

b)

probability

c)

parallel

d)

predictions

62.

An event has a 75% chance of happening. This event is ___.

a)

Impossible

b)

Unlikely

c)

As likely as not

d)

Likely

e)

Certain

63.

An event has a 100% chance of happening. This event is ___.

a)

Impossible

b)

Unlikely

c)

As likely as not

d)

Likely

e)

Certain

64.

When figuring the probability of an event, what number goes on top of your fraction?

a)

The number of the desired event

b)

The total number of choices possible

c)

The event that happens most

d)

The event that happens least

65.

When figuring the probability of an event, what number goes on bottom of your fraction?

a)

The number of the desired event

b)

The total number of choices possible

c)

The event that happens most

d)

The event that happens least

66.

A spinner has 4 sections: 1 red, 1 blue, 1 green, 1 yellow. What is the probability that you spin and land on blue?

a)

1/2

b)

1/4

c)

2/4

d)

3/4

67.

A bag has 7 marbles: 2 green, 2 blue, and 3 orange. What is the probability of reaching in and NOT pulling out a green?

a)

2/7

b)

3/7

c)

4/7

d)

5/7

68.

You pick a marble from this bag.

What is the probability you will choose either a black or white marble?

a)

3/5

b)

9/100

c)

1/10

d)

2/5

69.

The probability that it will snow on Christmas Eve is 1/7. What is the probability that it will NOT snow on Christmas Eve?

a)

1/7

b)

6/7

c)

100%

d)

0%

70.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

Exam Study Guide

Total questions: 70

Worksheet time: 3hrs 14mins

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