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3. Solve multiplication problems
Objective
Solve multiplication problems
Example 3-3b

4. The numerical factor in a multiplication expression
Review Vocabulary
Coefficient
The numerical factor in a multiplication expression
Example 3-3b

5. Example 1 Solve Multiplication Equations
Example 3 Use an Equation to Solve a Problem
Lesson 3 Contents

6. Ask: “What is being done to the variable”?
Write the equation.
Solve
Ask: “What is being done to the variable”?
The variable is being multiplied by 3
Do the inverse on both sides of the equal sign
Bring down 39 = 3y
Using the fraction bar, divide both sides by 3
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Example 3-1a

7. Combine “like” terms Solve Divide 39 by 3 Bring down the =13
13 = 1
13 =
13 = 1  y
Bring down  y
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Example 3-1a

8. Solve
Bring down 13 =
Remember: The identity property of Multiplication states anything multiplied by 1 does not change the value of the number
Multiply 1  y
13 = 1  y
13 = y
13 =
Answer: y = 13
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Example 3-1a

9. Solve
Answer: m = 7
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Example 3-1b

10. Ask: “What is being done to the variable”?
Write the equation
Solve
Ask: “What is being done to the variable”?
The variable is being multiplied by -4
Do the inverse on both sides of the equal sign
Bring down -4z = 60
Using the fraction bar, divide both sides by -4
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Example 3-2a

11. Combine “like” terms Solve Divide -4 by -4 Bring down the  z =
Remember: The identity property of Multiplication states anything multiplied by 1 does not change the value of the number 1
1  z =
1  z = -15
z = -15 z
Multiply 1  z
Bring down = -15
Answer: z = –15
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Example 3-2a

12. Solve
Answer: 4 = b
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Example 3-2b

13. Write the formula for speed 6,072 feet
SPORTS At 6,072 feet, California Screamin’ is the longest steel roller coaster in the world. The ride takes 2 minutes 30 seconds to complete. Find the speed of the roller coaster in feet per second.
Distance = Rate  Time
Distance = Rate  Time
Write the formula for speed
6,072 feet
The distance is how long the roller coaster is in feet
Replace distance with 6,072
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Example 3-3a

14. Rate is the speed of something
SPORTS At 6,072 feet, California Screamin’ is the longest steel roller coaster in the world. The ride takes 2 minutes 30 seconds to complete. Find the speed of the roller coaster in feet per second.
Distance = Rate  Time
Rate is the speed of something
Replace Rate with a variable since it is unknown
6,072 feet = r
6,072 feet = r 
6,072 feet = r  150 seconds
6,072 feet
Bring down 
Time is to be in seconds
Convert 2 minutes 30 seconds to seconds (remember: 60 seconds per 1 minute
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Example 3-3a

15. Ask: “What is being done to the variable”? Distance = Rate  Time
SPORTS At 6,072 feet, California Screamin’ is the longest steel roller coaster in the world. The ride takes 2 minutes 30 seconds to complete. Find the speed of the roller coaster in feet per second.
Ask: “What is being done to the variable”?
Distance = Rate  Time
6,072 feet = r  150 seconds
The variable is being multiplied by 150 seconds
6,072 feet = r  150 seconds
Do the inverse on both sides of the equal sign
150 seconds
150 seconds
Bring down 6,072 feet = r  150 seconds
Using the fraction bar, divide both sides by 150 seconds
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Example 3-3a

16. Use Identify Property of Multiplication and multiply r  1 40.48 feet
SPORTS At 6,072 feet, California Screamin’ is the longest steel roller coaster in the world. The ride takes 2 minutes 30 seconds to complete. Find the speed of the roller coaster in feet per second.
Distance = Rate  Time
Combine “like” terms
6,072 feet = r  150 seconds
Bring down = r 
6,072 feet = r  150 seconds
Combine “like” terms
150 seconds
150 seconds
Use Identify Property of Multiplication and multiply r  1
40.48 feet
= r  1
= r 
second
Answer: r = feet per second
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Example 3-3a

17. *
TRAVEL David is driving on a business trip. He drives a total of 589 miles at an average speed of 62 miles per hour. How many hours does David spend driving?
Answer: t = 9.5 hours
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Example 3-3b

18. Solving Multiplication Equations
Assignment
Lesson 4:3
Solving Multiplication Equations
All
End of Lesson 3