Free Printable Lesson 21 Solve One Variable Equations

1.

After 4 students joined a class, the class has 32 students. Which equation can be used to find n, the number of students in the class before the new 4 students joined?

a)

$\frac{n}{4}\ =\ 32$

b)

n - 4 = 32

c)

4n = 32

d)

n + 4 = 32

2.

a)

F

b)

G

c)

H

d)

J

3.

What is the solution to the following equation?

a)

x = 8

b)

x = 16

c)

x = 4

d)

x = 6

4.

Find the solution of the following equation.

a)

x = 5

b)

x = 3

c)

x = 7

d)

x = 10

5.

Ted bought a dolphin poster for $12. He now has $5. Write and solve an equation to find out how much money Ted took to the aquarium.

a)

m - 12 = 5

b)

m - 5 = 12

c)

m + 5 = 12

d)

m + 12 = 5

6.

Sergio got a paycheck for $74.80 for

10 hours of work. Which equation can be

used to find x, the amount he was paid

per hour?

a)

x + 10 = 74.80

b)

x − 80 = 74.80

c)

$\frac{x}{10}\ =\ 74.80$

d)

10x = 74.80

7.

Solve the following equation
X + 8 = 15

a)

23

b)

-7

c)

7

d)

-23

8.

Solve the following equation
8 = m - 12

a)

4

b)

0.5

c)

5.0

d)

20

9.

Solve the following equation
2y = 18

a)

36

b)

16

c)

9

d)

20

10.

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)

$\frac{t}{9}=25$

11.

Which choice models this situation?

Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

$\frac{h}{5}\ =\ 35$

12.

Becky is preparing for her younger sister's birthday party. She splits a jar of lollilops evenly among 6 goody bags. Each bag ends up with 4 lollipops.

Which equation can you use to find the number of lollipops n in the jar?

a)

$\frac{n}{6}\ =4$

b)

n - 4 = 6

c)

4n = 6

d)

n + 6 = 4

13.

Karina played two softball games last week. She had a total of 9 hits. She had 4 hits in the first game. Write an equation to determine how many hits she got in the second game.

a)

9 - 4 = h

b)

h + 4 = 9

c)

4h = 9

d)

h + 9 = 4

14.

Write the equation for the model.

a)

-3x=18

b)

3=-18

c)

3x=18

d)

3x=-18

15.

Write the equation for the model.

a)

x+(-6)=-11

b)

x+6=-11

c)

x-6=11

d)

x+6=11

16.

Solve for x

5x=40

a)

$x=35$

b)

$x=\frac{1}{4}$

c)

$x=8$

d)

$x=3$

17.

At a restaurant, four friends decided to divide the bill evenly. If each person paid $13 then which equation can you use to find what the total bill was?

a)

4/x = 13

b)

4x = 13

c)

x/4 = 13

d)

x/3 = 13

18.

Tara caught three times as many fish this year than last year. She caught 63 fish by the end of the year. Which equation represents how many fish she caught last year?

a)

3y = 63

b)

3 + y = 63

c)

63 - y = 3

d)

$\frac{y}{3}$ =63

19.

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

20.

Which choice models this situation?

Lisa finished a race in 58 seconds. This was 4 seconds faster than her best practice time. What was Lindsey's best practice time?

a)

t + 4 = 58

b)

t - 4 = 58

c)

4t = 58

d)

t/4 = 58

21.

Which choice models this situation?

Taylor has read 125 pages in a book. The book has a total of 262 pages. How many pages does she have left to read to finish the book?

a)

p - 125 = 262

b)

p + 125 = 262

c)

125p = 262

d)

p/125 = 262

22.

Which choice models this situation?

Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

23.

Which choice models this situation?

At Pierce County Middle School, there are 5 art classes with 24 students in each class. How many students altogether are in the art classes?

a)

s - 5 = 24

b)

s + 5 = 24

c)

5s = 24

d)

s/5 = 24

24.

Which choice models this situation?

Jack needed new pencils for school today. He took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

a)

p - 6 = 18

b)

p + 6 = 18

c)

6p = 18

d)

p/6 = 18

25.

Which choice models this situation?

Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?

a)

b - 4 = 44

b)

b + 4 = 33

c)

4b = 44

d)

b/4 = 44

26.

Becky is preparing for her younger sister's birthday party. She splits a jar of lollilops evenly among 6 goody bags. Each bag ends up with 4 lollipops.

Which equation can you use to find the number of lollipops n in the jar?

a)

n/6 = 4

b)

n - 4 = 6

c)

4n = 6

d)

n + 6 = 4

27.

Karina played two softball games last week. She had a total of 9 hits. She had 4 hits in the first game. Write an equation to determine how many hits she got in the second game.

a)

9 - 4 = h

b)

h + 4 = 9

c)

4h = 9

d)

h + 9 = 4

28.

Write an equation models the following statement:
17 less than h equals 42

a)

17-h=42

b)

h-17=42

c)

h+17=42

d)

17+h=42

29.

Oranges cost $2 per pound. Which equations can you use to find, How many pounds of oranges you can purchase if you have $20?

a)

2 ÷ p = 20

b)

2p = 20

c)

2 + p = 20

d)

20p = 2

30.

Daniel sells newspaper subscriptions. Daniel paid $3.50 for each new customer (x) that signs up for the subscription. Which equation represents the amount (y) Daniel earns for selling (x) number of subscriptions in a week?

a)

y = 3.5x

b)

y = 35x

c)

y = 3.5 + x

d)

y = 3.5

31.

At a restaurant, Coach Fred and three of his friends decided to divide the bill evenly. If each person paid $13 then which equation can you use to find what the total bill was?

a)

4/x = 13

b)

4x = 13

c)

x/4 = 13

d)

x/3 = 13

32.

For a show, the Dobie band will earn $15 for each ticket sold. Write an equation for their total profit (p) earned related to the number of tickets (t) that they sell.

a)

15p = t

b)

15t = p

c)

15 + t = p

d)

t - 15 = p

33.

Last Friday Trevor had $29. Over the weekend he received some money (m) for cleaning the attic. He now has $41. What equation can be used to find, How much money he received for cleaning the attic?

a)

29 + m = 41

b)

29 - m = 41

c)

29m = 41

d)

29 + 41 = m

34.

After paying $5.12 for a salad, Carlos has $27.10 left in his wallet. Which equation can be used to find how much money Carlos had before buying a salad?

a)

x + 5.12 = 27.10

b)

x + 27.10 = 5.12

c)

5.12 - s = 27.10

d)

s - 5.12 = 27.10

35.

Tara caught three times as many fish this year than last year. She caught 63 fish by the end of the year. Which equation represents how many fish she caught last year?

a)

3y = 63

b)

3 + y = 63

c)

63 - y = 3

d)

y/3 = 63

36.

When Korey went to the store he noticed each package of diapers cost $8. Which equation can be used to find out how many packages of diapers he can purchase if he has $40?

a)

8 - d = 40

b)

8d = 40

c)

8/d = 40

d)

8 + d = 40

37.

Martin earns $14 per hour. Which equation represents how many hours he needs to work to earn $112?

a)

14h = 112

b)

h - 14 = 112

c)

h + 14 = 112

d)

14/ h = 112

38.

Last week Kevin had 42 dollars. He washed cars over the weekend to earn some extra money and now has $95. Which equation can you use to find how much money Kevin earned washing cars?

a)

x - 42 = 95

b)

x + 42 = 95

c)

42x = 95

d)

42 - m = 95

39.

When you solve one-step equations, you can do anything you want to one side of the equal sign, as long as...

a)

it is mathematical

b)

you do the SAME thing to the other side

c)

solving equations is impossible

d)

I love Snow Days!

40.

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

a)

on one side

b)

to disappear

c)

by itself

d)

to sing and dance

41.

To solve one-step equations, you have to use the ________________ operation.

a)

Integer

b)

Inverse

c)

Additive

d)

Subtractive

42.

The inverse operation of addition is _______________.

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

43.

What is the correct step to solve for the variable?
15 = m - 5

a)

add 5 to both sides

b)

add 15 to both sides

c)

subtract 15 from both sides

d)

subtract 5 from both sides

44.

Evaluate (Solve):

f-22=36

a)

f = 62

b)

f = 14

c)

f = 58

d)

f = 12

45.

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

a)

Subtract 62 from each side.

b)

Add 62 to each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

46.

Solve for x.

x + 12 = 20

a)

x = 8

b)

x = -32

c)

x = 32

d)

x = -8

47.

Evaluate (solve).

y - 4.6 = 12

a)

y = 16.6

b)

y = 5.8

c)

y = 7.4

d)

Answer not Given

48.

What is the value of V?

V + 23 = 45

a)

V = 68

b)

V = 22

c)

V = -22

d)

Not Here

49.

Solve the equation:

x - 5.5 = 10.5

a)

x = 5.5

b)

x = 5

c)

x = -15

d)

x = 16

50.

Choose the correct equation for the situation.

Jane (j) is 3 years older than Sam (s). If Jane 12, how old is Sam?

a)

s + 3 = 12

b)

s - 3 = 12

c)

j - 3 = 12

d)

j + 12 = 3

51.

What equation matches this situation?

Robyn had some video games (v) 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

52.

A discounted amusement park ticket cost $44 and it costs $12.95 less than the original price p. Write and solve and equation to find the original price.

a)

$56.95

b)

$45.65

c)

$60.00

d)

$65.95

53.

A biker orders 162 eggs. Each cartoon contains 18 eggs. What equation can you use to find the number x of cartons? Explain your reasoning and solve the equation.

a)

162x = 18

b)

\frac{x}{18}=\ 162

c)

18x = 162

d)

x +18 = 162

54.

The length of an American flag is 1.9 times its width which is 9.5 ft. What is the width of the flag?

a)

5 ft

b)

10 ft

c)

19 ft

d)

20 ft

55.

$\frac{x}{3}=10$

a)

x = 30

b)

x = 13

c)

x = 7

d)

x = 3.33

56.

$\frac{2}{3}x\ =20$

a)

x = 30

b)

x = 23

c)

x = 30

d)

x = 19

57.

Which operations are inverses of each other?
+, -, $\times,\ \div$

a)

+, -

b)

+, $\div$

c)

-, x

d)

$\div$ , x

58.

m - 14 = 76

a)

m = 90

b)

m = 52

c)

m = -62

d)

m = 80

59.

13x = 65

a)

x = 4

b)

x = 5

c)

x = -3

d)

x = 7

60.

16 = m/8

a)

m = 98

b)

m = 128

c)

m = 2

d)

m = 136

61.

Solve for y:
y - 7 = 10

a)

17

b)

-3

c)

3

d)

-17

62.

Solve the equation below:

a)

k = 152

b)

k = 176

c)

k = 5

d)

k = 27

63.

$\frac{5}{24}+c=\frac{1}{3}$

a)

$\frac{1}{8}$

b)

$\frac{2}{3}$

c)

$\frac{6}{24}$

d)

$\frac{3}{24}$

64.

$\frac{x}{3}=12$

a)

4

b)

5

c)

$\frac{1}{3}$

d)

36

65.

$t-\frac{7}{\ 9}=\frac{1}{3}$

a)

$\frac{12}{9}$

b)

$\frac{10}{9}$

c)

$1\ \frac{1}{9}$

d)

$1\ \frac{1}{3}$

66.

$\frac{2}{3}r=10$

a)

15

b)

12

c)

10

d)

30

67.

$\frac{5}{8}b=6$

a)

$9\ \frac{3}{5}$

b)

$\frac{49}{5}$

c)

$\frac{48}{5}$

d)

$48$

Lesson 21 Solve One Variable Equations

Total questions: 67

Worksheet time: 4hrs 22mins

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