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### Solving Multiplication and Division Equations

• Use inverse operations to undo operations in the equation in order to isolate the variable. Multiplication and Division are inverse operations.
• Division by zero is undefined. This means it is not possible to divide by zero.
• You can use division to solve an equation by undoing multiplication. You will divide both sides of the equation by the same non-zero number and simplify.
• You can use multiplication to solve an equation by undoing division. You will multiply both sides of the equation by the same number and simplify.

### Solving Multiplication and Division Equations

Solve for x.
9x = 81
• x = [81/9]
x = 9
Solve for y.
− 12y = 48
• y = [48/( − 12)]
y = − 4
Solve for a.
0.7a = 1.47
• a = [1.47/0.7]
• a = [14.7/7]
a = 2.1
Solve for x. 105 = 7x
• [105/7] = x
15 = x
Solve for b.
0.9b = 22.5
• b = [22.5/0.9]
• b = [225/9]
b = 25
Tiffany wants to buy a laptop for \$ 872. How many weeks does she have to save money for if she saves \$ 4 each week?
• Let w = number of weeks.
• \$ 4w = \$ 872
• w = [\$ 872/\$ 4]
• w = 218
218 weeks
[x/40] = 10
• x = 10 ×40
x = 400
[y/0.9] = 50
• y = 50 ×0.9
y = 45
75 = [z/2]
• 75 ×2 = z
150 = z
There are s seats in Hung Auditorium. If the auditorium has 900 rows of seats, how many seats are in each row in terms of s ?
• s = 900 rows × (number of seats in each row)
• (number of seats in each row)= [s/900]
[s/900] seats

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

### Solving Multiplication and Division Equations

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• What You'll Learn and Why 0:06
• Topics Overview
• Vocabulary 0:19
• Division Property of Equality: Arithmetic
• Division Property of Equality: Algebraic
• Multiplication Property of Equality: Arithmetic
• Multiplication Property of Equality: Algebraic
• Vocabulary 2:49
• Inverse Operations
• Solve the Equation Using Division 3:09
• Example: 8x = 56
• Example: -6y = 42
• Solve the Equation Using Division 4:47
• Example: 0.9c = 1.89
• Solve the Equation Using Division 6:11
• Example: Saving Money
• Example: Soccer Team
• Solve the Equation Using Multiplication 9:56
• Example: a/7 = 9
• Example: t/1.7 = 6
• Solve the Equation Using Multiplication 12:09
• Example: y/-45 = 3.2
• Example: -p = 14
• Solve the Equation Using Multiplication 14:10
• Example: Distant
• Extra Example 1: Solve the Equation 15:58
• Extra Example 2: Solve the Equation 17:25
• Extra Example 3: Height of an Elephant 20:55
• Extra Example 4: Money 23:07