Free Printable Solving and Modeling One-Step Equation

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 value of x makes this equation true?

-90 = x - 100

4.

What is the solution to the following equation?

5.

Find the solution of the following equation.

a)

x = 5

b)

x = 3

c)

x = 7

d)

x = 10

6.

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

7.

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

8.

Solve the following equation
X + 8 = 15

9.

Solve the following equation
8 = m - 12

10.

Solve the following equation
2y = 18

11.

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)

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

12.

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)

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

13.

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

14.

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

15.

Write the equation for the model.

a)

-3x=18

b)

3= -18

c)

3x=18

d)

3x= -18

16.

Write the equation for the model.

a)

x+(-6)=-11

b)

x+6=-11

c)

x-6=11

d)

x+6=11

17.

Solve for x.

−3+x=7

18.

Solve for x

5x=40

19.

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

20.

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

21.

Which of the following does NOT represent an equation?

a)

Twice a number is six

b)

x + 6 = 10

c)

6 years older than Mike

d)

-9 + 2 = -7

22.

Laurie rode her bike 17.5 miles in 2 hours. She uses this equation to represent the relationship between her time and distance.

2x = 17.5

What does the solution x= 8.75 represent?

a)

The distance Laurie rode her bike.

b)

The time Laurie spent riding her bike.

c)

The distance Laurie traveled per hour.

d)

Not here

23.

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

a)

≤, ≥

b)

<, >

24.

$r-\left(-3\right)=-32$

25.

$\frac{x}{5}=-2$

26.

Which of the following is an expression?

a)

6x + 2x = 6

b)

10 = 5x

c)

2x + 6x - 10

d)

6x² + 10 = 25

27.

Javier scored 214.8 playing the first round of a video game. His sister played the second round and scored 198.4 points. Using the equation x-214.8 = 198.4, which of the following best represents the total points scored after the second round?

a)

16.4points

b)

302.2 points

c)

313.2 points

d)

413.2 points

28.

Solve for y:

-2.5y = 5

29.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

30.

Which equation has x=9 as a solution

a)

4 + x = 12

b)

5x = 45

c)

2x = 20

d)

x + 7 = 26

31.

Sam earns $4 per hour completing chores on the weekends. Last weekend, he earned $10. Use the model to determine x, the number of hours Sam worked last weekend.

32.

Greg wrote in his math journal that 17 - x = 9 is an example of an algebraic equation. Which statement is true about the example Greg wrote in his math journal?

a)

Greg's example is an equation because there is a variable present.

b)

Greg's example is an equation because it is a number sentence stating two amounts are equivalent.

c)

Greg's example is an equation because x can represent any value.

d)

Greg's example is an equation because there are two numbers present.

33.

Which of the following does NOT represent an equation?

a)

Twice a number is six

b)

x + 6 = 10

c)

6 years older than Mike

d)

-9 + 2 = -7

34.

Laurie rode her bike 17.5 miles in 2 hours. She uses this equation to represent the relationship between her time and distance.

2x = 17.5

What does the solution x= 8.75 represent?

a)

The distance Laurie rode her bike.

b)

The time Laurie spent riding her bike.

c)

The distance Laurie traveled per hour.

d)

Not here

35.

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

a)

≤, ≥

b)

<, >

36.

Which of the following is an expression?

a)

6x + 2x = 6

b)

10 = 5x

c)

2x + 6x - 10

d)

6x² + 10 = 25

37.

Javier scored 214.8 playing the first round of a video game. His sister played the second round and scored 198.4 points. Using the equation x-214.8 = 198.4, which of the following best represents the total points scored after the second round?

38.

Solve for y:

2.5y = 5

39.

Solve for x

40.

Solve the equation.

41.

Write the equation for the model. (white square=1 rectangle=x red square = -1)

a)

7=x+3

b)

7=x+(-3)

c)

7=-x+3

d)

-7=x-3

42.

Which equation matches the image? THE RECTANGLES ARE THE VARIABLES & THE SQUARES EQUAL ONE EACH.

a)

x - 3 = 8

b)

x + 3 = 8

c)

3x = 8

d)

3x = 9

43.

Solve the equation using the image. THE RECTANGLES ARE THE VARIABLES & THE SQUARES EQUAL ONE EACH.

44.

If the triangle represents the variable and each circle equals one, is this model and equation in the image correct?

a)

Yes

b)

No, there needs to be 7 circles on the right side of the equal sign.

c)

No, there needs to be 4 circles on the right side of the equal sign.

d)

No, there needs to be a minus sign in the equation.

45.

Write an equation for the model above.

a)

x + 3 = -9

b)

x - 3 = 9

c)

3x + 1 = 9

d)

3x - 1 = 9

46.

What equation is modeled?

a)

3 = 6

b)

3x = 6

c)

x = 6

d)

3 = 6x

47.

The inverse operation of addition is _______________.

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

48.

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

a)

Integer

b)

Inverse

c)

Additive

d)

Subtractive

49.

Which equation is modeled?

a)

x + 3 = 9

b)

x - 3 = 9

c)

3x = 9

d)

3x - 3 = 9

50.

Which equation matches the image? THE CUP IS THE VARIABLE & THE CIRCLES EQUAL ONE EACH.

a)

n + 2 = 6

b)

2n = 6

c)

2n = 5

d)

n + 2 = 5

51.

What equation is modeled? Solve the equation.

a)

x -6 = 13 x = 19

b)

x + 6 = 13 x = 7

c)

x + 6 = 13 x = 8

d)

x - 6 = 13 x = 7

52.

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.
The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

53.

Solve for the missing variable:

54.

What would be the best first step to solving the equation?
-3=x+5

a)

add 3 to both sides

b)

subtract 5 from both sides

c)

add 5 to both sides

d)

subtract -5 from both sides

55.

-8 = $\frac{k}{5}$

56.

-22 + x = -42

57.

12 = x - (-18)

a)

6

b)

-6

c)

30

d)

-30

58.

a - 10 = 6

59.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

60.

Solve the equation:
-5x = 25

61.

Write an equation for the model above.

a)

x + 3 = -9

b)

x - 3 = 9

c)

3x + 1 = 9

d)

3x - 1 = 9

62.

What equation is modeled? Solve the equation.

a)

2x = -4 x = -2

b)

2x = 4 x = 2

c)

2x = 4 x = 8

63.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

64.

2 + n =16

65.

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.
The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

66.

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

67.

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

68.

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

69.

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

70.

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

71.

x - (-2) = 7

72.

$\frac{x}{-5}=-20$

73.

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

74.

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!

75.

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

a)

on one side

b)

to disappear

c)

by itself

d)

to sing and dance

76.

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

a)

Integer

b)

Inverse

c)

Additive

d)

Subtractive

77.

The inverse operation of addition is _______________.

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

78.

The inverse operation of division is _______________.

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

79.

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

80.

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.

81.

-4x = 64

How should you show your work to isolate the variable and solve the equation?

a)

Subtract -4 from each side.

b)

Add -4 to each side.

c)

Multiply each side by -4.

d)

Divide both sides of the equation by -4.

82.

83.

a)

5

b)

-5

c)

1

d)

-1

84.

a)

-1.1

b)

1.1

c)

-11.7

d)

11.7

85.

a)

14

b)

-33

c)

-14

d)

33

86.

a)

0

b)

1

c)

-1

d)

198

87.

a)

48

b)

-42

c)

15

d)

-15

88.

a)

10

b)

-10

c)

21

d)

-21

89.

a)

16

b)

-16

c)

10

d)

-10

90.

a)

72

b)

-48

c)

5

d)

-5

91.

a)

2.5

b)

-2.5

c)

2.8

d)

-2.8

92.

$\frac{x}{13}=3$

a)

$x=16$

b)

$x=39$

c)

$x=-10$

d)

$x=\frac{3}{13}$

93.

n-1=3

a)

$n=2$

b)

$n=3$

c)

$n=19$

d)

$n=4$

94.

\frac{n}{6}=30

a)

$n=5$

b)

$n=10$

c)

$n=180$

d)

$n=\frac{8}{3}$

95.

13+x=15

a)

$x=2$

b)

$x=28$

c)

$x=7$

d)

$x=1\frac{1}{3}$

96.

\frac{x}{3}=4

a)

$x=1$

b)

$x=7$

c)

$x=12$

d)

$x=1\frac{1}{3}$

97.

x-20=-10

a)

$x=-200$

b)

$x=-\frac{1}{2}$

c)

$x=-30$

d)

$x=10$

98.

-7n=-63

a)

$n=-56$

b)

$n=-70$

c)

$n=9$

d)

$n=-9^{ }$

99.

a-1=-17

a)

$a=-17$

b)

$a=-18$

c)

$a=10$

d)

$a=-16$

100.

v+19=-1

a)

$v=-20$

b)

$v=18$

c)

$v=-\frac{1}{19}$

d)

$v=-19$

101.

m-9=-21

a)

$m=-12$

b)

$m=-30$

c)

$m=-189$

d)

$m=-\frac{7}{3}$

102.

b-13=4

a)

$b=17$

b)

$b=52$

c)

$b=-9$

d)

$b=\frac{4}{13}$

103.

n-20=-32

a)

$n=-1\frac{3}{5}$

b)

$n=-52$

c)

$n=-12$

d)

$n=-640$

104.

a+3=-1

a)

$a=-\frac{1}{3}$

b)

$a=2$

c)

$a=-4$

d)

$a=-3$

105.

6x=-42

a)

$x=-48$

b)

$x=-7$

c)

$x=-36$

d)

$x=7$

106.

\frac{x}{9}=11

a)

$x=20$

b)

$x=1\frac{2}{9}$

c)

$x=2$

d)

$x=99$

107.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

108.

x/5 = 20

a)

x = 4

b)

x =100

c)

x =3

d)

x =25

109.

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

110.

5 = f - 2

a)

4

b)

7

c)

-3

d)

2

111.

6 x = -30
x=

a)

2

b)

7

c)

-5

d)

5

112.

Solve for x

x - 7.09 = 10.89

a)

3.8

b)

17.98

c)

18.1

d)

4.2

113.

3 = $\frac{c}{-11}$

a)

33

b)

14

c)

-33

d)

-14

114.

Solve the equation:
$-8x=-32$

a)

4

b)

40

c)

6

d)

5

115.

Solve for x.

x - 8 = -5

a)

x = 13

b)

x = -13

c)

x = 3

d)

x = -3

116.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

117.

r + 20 = 27

a)

r = 7

b)

r = 47

c)

r = 13

d)

r = 20

118.

S + 18 = 24

a)

S = 42

b)

S = 3²

c)

S = 18

d)

S = 4 + 2

119.

Solve the equation:
4p = 16

a)

p = 12

b)

p = -12

c)

p = -4

d)

p = 4

120.

-6x = 30

a)

x = - 5

b)

x = 24

c)

x = 5

d)

x = 36

121.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

122.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

123.

-3x = -9

a)

3

b)

-3

c)

9

d)

-1

124.

x - (-2) = 7

a)

-9

b)

-5

c)

5

d)

9

125.

x + (-3) = 4

a)

7

b)

-7

c)

1

d)

-1

126.

$x\div4=4$

a)

4

b)

16

c)

20

d)

1

127.

$\frac{x}{5}=20$

a)

100

b)

120

c)

4

d)

5

128.

$\frac{x}{2}=-10$

a)

-20

b)

20

c)

-5

d)

5

129.

-6x = 30

a)

x = - 5

b)

x = 24

c)

x = 5

d)

x = 36

130.

$\frac{t}{-8}=\ -5$

a)

t = 3

b)

t = -40

c)

t = -3

d)

t = 40

131.

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

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

132.

Which choice models this situation?

Last week, James worked 35 hours in 5 days on the farm. He worked the same number of hours each day. How many hours did he work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

133.

Which choice models this situation?

At ACHI, there are 5 art classes with 24 students per 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

134.

Which choice models this situation?

Hadlee needed new pencils for school today. She 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

135.

Which choice models this situation?

Maddi participated in a read-a-thon. Mrs. Dunnmeyer pledged $4 for each book read. When it ended, she gave Maddi a total of $44. How many books did Maddi read?

a)

b - 4 = 44

b)

b + 4 = 33

c)

4b = 44

d)

b/4 = 44

136.

Solve the following equation

j - (-5) = 15

a)

j = 20

b)

j = 3

c)

j = 75

d)

j = 10

137.

Solve the following equation

2y = 18

a)

y = 36

b)

y = 16

c)

y = 9

d)

y = 20

138.

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

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

139.

What is the solution for x + 9 = 21

a)

10

b)

12

c)

11

d)

13

140.

Solve for b
2b = -16

a)

8

b)

4

c)

-8

d)

3

141.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

142.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

143.

Solve:

a)

96

b)

-96

c)

4

d)

-4

144.

Solve:

a)

-12

b)

-8

c)

12

d)

8

145.

r + 20 = 27

a)

r = 7

b)

r = 47

c)

r = 13

d)

r = 20

146.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

147.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

148.

x - (-2) = 7

a)

-9

b)

-5

c)

5

d)

9

149.

$\frac{x}{2}=-10$

a)

-20

b)

20

c)

-5

d)

5

150.

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.
The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

151.

When solving an equation, our goal is to:

a)

add all the numbers together.

b)

use a calculator.

c)

eat lunch.

d)

isolate the variable to solve.

152.

Find the value of the variable: $\frac{1}{2}x\ =\ 10$

a)

5

b)

20

c)

4

153.

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

154.

Solve the equation:
$-8x=-32$

a)

4

b)

40

c)

6

d)

5

155.

What is the difference between an expression and equation?

a)

Expressions have an equal sign and equations do not have an equal sign

b)

Expressions do not have an equal sign and equations do have an equal sign

c)

There is not a difference

d)

Expressions do not have variables and equations have variables

156.

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

Solving and Modeling One-Step Equation

Total questions: 156

Worksheet time: 7hrs 32mins

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