Solutions of Equations Review

Multiple Select

Which of the following are EQUATIONS?

(Mark all that are equations.)

• 56k+2=116

• 15+k=36

• $$\frac{y}{5}=12.5$$

• 5m+12b-1

• = 4d-5

Multiple Select

Which of the following are EQUATIONS?

(Mark all that are equations.)

• g+g+g-11

• 4m + 22

• 65 - 2k

• 11f = 44

• $$\frac{r}{12}=17$$

Multiple Choice

What is an equation?

• All the numbers in the alphabet

• A mathematical statement that two expressions are equal

• A secret society designed to make more math

• The way you solve an equation using inverse operations

• All terms that have the same variable

Multiple Choice

What is a solution to an equation?

• All the numbers that have the same variable and the same exponent

• The greatest number that can divide into another set of numbers

• The number of terms that an expression contains

• A value for a variable that makes the equation true

• The values that are greater than zero

Multiple Choice

Determine whether n=0 is a solution to the equation below.

7n = 7

• solution

• not a solution

Multiple Choice

Determine whether h=2 is a solution to the equation below.
2h = 6

• solution

• not a solution

Match

Match each pair of inverse operations:

• • + 7

• $$\cdot\ 5$$

• • - 6.8

• /6

• - $$8\frac{1}{3}$$

- 7

+ 6.8

x 6

• - 7

• $$\div5$$

• + 6.8

• x 6

• $$+8\frac{1}{3}$$

Multiple Choice

Determine whether d = 4.9 is a solution to the equation below.

16.1 + d = 22

• solution

• not a solution

Multiple Choice

Determine whether e = 3 is a solution to the equation below.

12e=36

• solution

• not a solution

Fill in the Blank

Which value in the solution set {4, 7, 0, 2} would make the equation below true:

9n = 0

Fill in the Blank

Which value in the solution set {4, 7, 0, 2} would make the equation below true:

70/n = 10

Fill in the Blank

Which value in the solution set {2, 6, 9, 3} would make the equation below true:

n - 5 = 4

Multiple Choice

Determine the solution of the equation below.

39 + x = 50

• x = 1

• x = 89

• x = 22

• x = 11

• x = 46

Multiple Choice

Select the correct solution to the equation below.

18 + p = 25

• p = 31

• p = 13

• p = 43

• p = 28

• p = 7

Multiple Choice

Determine the solution to the equation:

x - 32 = 50

• x = 17

• x = 71

• x = 82

• x = 49

• x = 32

Multiple Select

Determine whether each equation has a solution of h=8.

Mark all equations that have a solution of h=8.

• 2h=10

• h - 4 = 12

• h + 4 = 12

• 2h=16

• h/8 = 8

Multiple Select

Determine whether each equation has a solution of d=7.

Mark all equations that have a solution of d=7.

• d + d + d = 21

• 3d = 21

• d - 7 = 0

• d + 3 = 10

• 10d = 70

Multiple Choice

Determine the solution to the equation:

• x = 20

• x = 10

• x = 7

• x = 3

• x = 13

Multiple Choice

Which equation has w = 5 as the solution?

• w + 15 = 10

• 2w = 5

• 2w = 10

• w/2 = 10

• w² = 10

Multiple Choice

Determine the solution to the equation:

x + 40 = 56

• x = 16

• x = 96

• x = 15

• x = 10

• x=47

Multiple Choice

Which equation has w = 8 as the solution?

• 8w = 64

• 16w = 240

• 16 - w = 9

• 4 + w = 10

• 2w = 2

Multiple Choice

Determine the solution to the equation:

4x = 44

• x = 4

• x = 11

• x = 12

• x = 176

• x = 7

Multiple Choice

Which equation matches the situation:

Jorge has d dollars and spends 17. Now he has 3 dollars.

• 3d = 17

• 17d = 3

• d - 17 = 3

• 3 + d = 17

• 17/d = 3

Fill in the Blank

Jorge has d dollars and spends 17. Now he has 3 dollars.

d - 17 = 3

Solve the equation

=

Multiple Choice

Which equation matches the situation:

Daniela earns $22 for each painting p that she paints. She earned $88.

• 88/22 = p

• 22p = 88

• 22 - p = 88

• p + 22 = 88

• 88 - p = 22

Fill in the Blank

Daniela earns $22 for each painting p that she paints. She earned $88.

22p=88

Solve for p

=

Fill in the Blank

Write an equation for the situation:

Lucas has 12 action figures. His mom gives him a action figures for his birthday. Now he has 112 action figures.

(Hint: Start with 12)

+

=

Fill in the Blank

Solve equation for a:

Lucas has 12 action figures. His mom gives him a action figures for his birthday. Now he has 112 action figures.

12 + a = 112

=

Multiple Choice

Determine the solution to the equation:

y + 4.6 = 12.6

• y = 16.6

• y = 5

• y = 3.4

• y = 8

• y = 3.6

Multiple Choice

Determine the solution to the equation:

x - 125 = 375.

• x = 3

• x = 250

• x = 500

• x = 475

Multiple Choice

Solve the equation
3x = 27. 

• x = 24
• x = 81
• x = 9
• x = 30

• x = 7

Multiple Choice

Which equation has x = 5 as the solution?

• x + 15 = 10
• 2x = 5
• 2x = 10
• x = 12

• 15 - x = 20

Multiple Choice

Determine whether the given value of the variable is a solution.
x + 6 = 14, when x = 8

• yes
• no

Multiple Choice

Match the solution to the equation it solves.
m = 9

• 10 + m = 20

• m - 4 = 13

• 7 ⋅ m = 36

• 18 ÷ m = 2

Multiple Choice

Use substitution to determine which of the given values is the solution to the equation:  $$2+f=13-2$$

• f = 0

• f = 4

• f = 9

• f = 13

• f = 15

Multiple Choice

Use substitution to determine which of the given values is the solution to the equation:  $$3=\frac{g}{6}$$

• 2

• 6

• 12
  

• 18

• 36

Match

Match the following terms with the example for each:

• 3g and 5g and 2g

• Equation

• Expression

• Variable

• Inverse Operations

Like Terms

4m=40

6k - 1

w

• - 4 and + 4

• Like Terms

• 4m=40

• 6k - 1

• w

• • - 4 and + 4