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• Lesson 14-2 ACTIVITY 14 Learning Targets:

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• Lesson 14-2 ACTIVITY 14 Learning Targets:
Lesson 14-2
Solving Multiplication Equations
ACTIVITY 14
continued
My Notes
Learning Targets:
Write multiplication equations to represent situations.
Solve multiplication equations of the form ax = b, where a, b, and x
are all positive rational numbers.
Given an equation of the form ax = b, where a, b, and x are all positive
rational numbers, write a corresponding real-world problem.
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•
•
MATH TERMS
A coefficient is a number that
multiplies a variable.
SUGGESTED LEARNING STRATEGIES: Marking the Text, Create
a Plan, Note Taking, Think-Pair-Share, Discussion Groups, Activating
Prior Knowledge
In the previous activities, you learned about isolating the variable. To
solve a multiplication equation, you must also isolate the variable.
The inverse operation of multiplication is division, so to isolate the
variable in a multiplication equation, you divide both sides of the
equation by the coefficient of x.
Example B
Solve 5x = 30
5x = 30 Divide both sides by 5 (coefficient of x)
Step 1:
5
5
Step 2: 1x = 6 Simplify both sides
Step 3:
x = 6 Apply the Multiplicative Identity Property:
Step 4:
Check your solution: 5(6) = 30
30 = 30
Try These B
Solve 9x = 108. Show work. Check your solution.
a. Pencils cost $0.88 each. How many pencils can you buy for $13.20?
Define a variable and write an equation. Solve the equation and
check your solution.
b. Reason abstractly. Barkley averaged 75 yards per game. How
many games will it take him to run 600 yards? Define a variable and
write an equation. Solve the equation and check your solution.
178
Unit 3 •Expressions and Equations
© 2014 College Board. All rights reserved.
Solution: x = 6
Lesson 14-2
Solving Multiplication Equations
ACTIVITY 14
continued
1. a. Write a real-world problem that could be represented by the
equation 40x = 200.
b. Solve the equation in part a.
2. Myrna is buying a car that costs $19,500. If she wants to pay for it in
48 months, how much will each payment be? Define a variable and
write an equation. Solve the equation and check your solution.
My Notes
MATH TIP
Instead of dividing both sides of an
equation, you could also multiply
each side by the reciprocal of the
coefficient of the variable. For
example, to solve 3x = 6 you could
multiply each side by 31 instead of
dividing by 3.
3. If an average American composted 1.5 pounds of trash every day,
how many people would it take to compost 114 pounds of trash in a
day? Define a variable and write an equation. Solve the equation and
check your solution.
4. Solve each equation algebraically.
a. 5b = 160
b. 2.6z = 10.4
© 2014 College Board. All rights reserved.
Check Your Understanding
5. The sixth grade class, which consists of 130 students, is going on a
field trip by bus. Each bus can hold 26 students. How many busses
will they need? Define a variable and write an equation. Solve the
equation and check your solution.
6. One-third of the girls in the sixth-grade class have long hair. Eleven
girls have long hair. How many girls are in the sixth-grade class?
Define a variable and write an equation. Solve the equation and
check your solution.
Activity 14 • Solving Multiplication and Division Equations
179
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