Free Printable Unit 5 Study Guide

1.

What is the solution for x + 9 = 21

a)

10

b)

12

c)

11

d)

13

2.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

3.

m+13=21

a)

m=34

b)

m=8

c)

m=273

d)

m=6

4.

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

5.

Martha baked cupcakes for 3 different classes. If each class needs 24 cupcakes which equation could be used to find x, the total number of cupcakes Martha will bake?

a)

3x=24

b)

x/3=24

c)

24x =3

d)

x/24 =3

6.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

7.

What is the value of n in the equation
n + n + n = 60?

a)

10

b)

20

c)

30

8.

Which equation describes the table?

a)

y = 1/4x

b)

y = 4 - x

c)

y = 4 + x

d)

y = 4x

9.

What is the missing value in the table?

a)

11

b)

24

c)

8

d)

9

10.

Which equation matches the table?

a)

c = 2h

b)

c = 6h

c)

c = 10h

d)

c = 12h

11.

Which equation describes the table shown:

a)

y = 1x + 2

b)

y = 1x - 2

c)

y = 2x + 1

d)

y = -2x + 2

12.

Emily had $50. Every week she babysits she gets $20.
Which equation describes the relationship between Emily's total money (s) and the number of weeks she babysits (w)

a)

s=50+200w

b)

s=200+50w

c)

s=20+50w

d)

s=50+20w

13.

Lindsay had $40. She works at the grocery store and earns $15 each day.
Which equation shows the relationship between Lindsay's savings (y) and the number of days Lindsay works (x)

a)

y = 15x + 40

b)

x = 15y + 40

c)

y = 40x + 15

d)

y = 40 - 15x

14.

Anzley has 12 less markers than Nevaeh. Using m to stand for the number of markers, which expression represents how many markers Anzley has?

a)

m + 12

b)

m - 12

c)

12 - m

d)

m / 12

15.

5 students shared a bag of popcorn. Using p to stand for the bag of popcorn, which expression represents how much each person had?

a)

p - 5

b)

p + 5

c)

5p

d)

p / 5

16.

Hunter ate b pieces of brownie. Tanner ate 7 pieces more than Hunter. Which expression represents the number of brownies Tanner ate?

a)

b - 7

b)

7 - b

c)

7 + b

d)

7b

17.

Ariana Grande has 15 more hit songs than Demi Lovato. Let s stand for the number of songs, which expression represents the number of hit songs Ariana Grande has?

a)

15 / s

b)

15 + s

c)

15s

d)

s - 15

18.

a)

A

b)

B

c)

C

d)

D

19.

A stadium has a total of 18,000 seats. Of these, 7,500 are field seats, and the rest are grandstand seats. Write an equation that could be used to find the number of grandstand seats s.

a)

18,000 + 7,500 = s

b)

s + 7,500 = 18,000

c)

7,500 - s = 18,000

d)

7,500 - 18,000 = s

20.

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

a)

Inverse operations

b)

math

c)

variable

d)

PEMDAS

21.

17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

22.

x - 32 = 49

a)

x = 17

b)

x = 71

c)

x = 81

d)

x = 49

23.

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.

24.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

25.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

26.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

27.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

28.

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

29.

K - 15 = 30

a)

45

b)

30

c)

15

d)

20

30.

h - 4 = 0

a)

h = -4

b)

h = 4

c)

h = 0

d)

h = 1

31.

Solve for w.

w-8=10

w= (a)

32.

Solve for z.

z+7=15

z= (a)

33.

Solve for d.

d-217=541

d= (a)

34.

Solve for y.

y/4=3

y= (a)

35.

Solve for d.

78=3d

d= (a)

36.

Solve for q.

15q=780

q= (a)

37.

Solve for z.

z-27=50

z= (a)

38.

Solve for s.

s/7=6

s= (a)

39.

Solve for b.

780=5b

b= (a)

40.

Solve for c.

c/8=8

c= (a)

41.

Kim hopes to be on Elm High School's swim team next year. In preparation for swim team tryouts, Kim swims 5 miles every Monday, Wednesday, and Friday.

How many miles does Kim swim in a week?

a)

5 miles

b)

15 miles

c)

18 miles

d)

20 miles

42.

Which values make the inequality 25 < 5x true? Select all that apply.

a)

2

b)

4

c)

5

d)

9

e)

13

43.

Which values make the inequality 49 > 6x true? Select all that apply.

a)

7

b)

8

c)

9

d)

11

e)

13

44.

The keywords "at most" are used with which of the following symbols?

a)

≤

b)

>

c)

<

d)

≥

45.

The keywords "at least" are used with which of the following symbols?

a)

≥

b)

≤

c)

>

d)

<

46.

Which of the following symbols means "less than"?

a)

<

b)

>

c)

≤

d)

≥

47.

Which of the following symbols means "more than"?

a)

>

b)

<

c)

≤

d)

≥

48.

Which of the following symbols means "less than or equal to"?

a)

≤

b)

<

c)

>

d)

≥

49.

Which of the following symbols means "greater than or equal to"?

a)

≥

b)

≤

c)

>

d)

<

50.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

51.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

52.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

53.

a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

54.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

55.

Match:
You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

56.

x is no more than 13

a)

x < 13

b)

x > 13

c)

x ≥ 13

d)

x ≤ 13

57.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

58.

Which scenario could be represented by the graph?

a)

The temperature is less than -1 degree.

b)

The temperature is more than -1 degree.

c)

The temperature is at most -1 degree.

d)

The temperature is at least -1 degree.

59.

You must spend at least $10 at the grocery store to get a free reusable shopping bag. Which inequality represents the amount you need to spend to get a free shopping bag?

a)

x<10

b)

x>10

c)

x>10

d)

x<10

60.

When the following inequality is graphed, what will it look like?

2 > f

a)

open circle

b)

closed circle

61.

When the following inequality is graphed, what will it look like?

"Kelsey has at most 10 dollars"

a)

open circle

b)

closed circle

62.

When the following inequality is graphed, what will it look like?

"Alex will spend less than 35 minutes playing video games"

a)

open circle

b)

closed circle

63.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

64.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

65.

Will my circle be colored in?
5 ≥ x

a)

Yes

b)

No

66.

When graphing b< 6 would you use an open or closed circle?

a)

Open

b)

closed

67.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

68.

Which inequality represents the below statement. I can have no more than 10 pieces of candy.

a)

x ≥ 10

b)

x > 10

c)

x ≤ 10

d)

x < 10

69.

A student must be at least 15 years old (15 years old or older) to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

70.

The ticket to the movie costs $10. How much money should Kristin take with her?
Let x represent the amount of money Kristin takes with her.

a)

x > 10

b)

x ≥ 10

c)

x < 10

d)

x ≤ 10

71.

Karen has $25 to buy her best friend a gift. How much can the gift cost?
Let x represent the cost of the gift.

a)

x > 25

b)

x ≥ 25

c)

x < 25

d)

x ≤ 25

72.

Page 117- Q4
Write an inequality for the situation below.
The depth of the swimming pool, d, cannot be deeper than

3\frac{1}{2}

feet.

a)

$d<3\ \frac{1}{2}$

b)

$d\le3\ \frac{1}{2}$

c)

$d>3\ \frac{1}{2}$

d)

$d\ge3\ \frac{1}{2}$

e)

$d\ne3\ \frac{1}{2}$

73.

Select the correct graph to represent the inequality $f>1$

a)

b)

c)

d)

74.

Select the correct graph to represent the inequality $x\le5$

a)

b)

c)

d)

75.

Select the correct graph to represent the inequality $y\ge4$

a)

b)

c)

d)

76.

Select the correct graph to represent the inequality $s<20$

a)

b)

c)

d)

77.

You must be over 12 years old to ride the go-Karts.

a)

x $\ge$ 12

b)

x $\le$ 12

c)

x $>$ 12

d)

x $<$ 12

78.

Lisa drew a rectangle. The length of Lisa’s rectangle is 3 times as long as its width. Write an algebraic expression that describes the perimeter of Lisa’s rectangle.

a)

3w

b)

8w

c)

w

d)

4w

79.

Mr. Braxton only allows his children to swim outside when the outside temperature, T, is at least 80℉.

Write an inequality that represents the temperature, in ℉, when Mr. Braxton would allow his children to go swimming.

a)

T $<$ 80

b)

T $>$ 80

c)

$T\le80$

d)

$T\ge80$

Unit 5 Study Guide

Total questions: 79

Worksheet time: 3hrs 44mins

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