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Module 2 Lesson 22.notebook

December 17, 2013

Module 2, Lesson 22

HW:
• Lesson 22 Problem Set

AIM: Solving Equations
Using Algebra

Do Now:
Exit Ticket For Lesson 21

1
Module 2 Lesson 22.notebook

December 17, 2013

Exit Ticket Lesson 21

a. Are the two expressions equivalent? How do you know?

b. Subtract −5 from each expression. Write the new numerical
expression, and write a conclusion as an if-then statement.

c. Add 4 to each expression. Write the new numerical expression, and
write a conclusion as an if-then statement.

d. Divide each expression by −2. Write the new numerical expression,
and write a conclusion as an if-then statement.

2
Module 2 Lesson 22.notebook

December 17, 2013

3
Module 2 Lesson 22.notebook

December 17, 2013

4
Module 2 Lesson 22.notebook

December 17, 2013

Homework Answers

5
Module 2 Lesson 22.notebook

December 17, 2013

1.) What does "making zero" mean?
2.) What does "making one" mean?
3.) Why do we complete these steps?

6
Module 2 Lesson 22.notebook

December 17, 2013

Question 1: What is the general shape
of the puppy yard? Draw a sketch of
the puppy yard.

7
Module 2 Lesson 22.notebook

December 17, 2013

Question 2: Write an equation that would
model finding the perimeter of the puppy
yard.

Tape Diagram Method

Equation Method

8
Module 2 Lesson 22.notebook

December 17, 2013

Solve Equation using Algebra

n + n + 20 + 15 + 10 + 12 = 137

Does your answer make sense in the context of the problem?
Why?

9
Module 2 Lesson 22.notebook

December 17, 2013

The number of hours swimming each morning
Let x = _____________________________

Equation:

10
Module 2 Lesson 22.notebook

December 17, 2013

11
Module 2 Lesson 22.notebook

December 17, 2013

3. Claire‛s mom found a very good price on a large computer

monitor. She paid $325 for a monitor that was only $65

more than half the original price. What was the original

price?

12
Module 2 Lesson 22.notebook

December 17, 2013

Ben‛s family left for vacation after his Dad came home from work
on Friday. The entire trip was 600 mi. Dad was very tired after
working a long day and decided to stop and spend the night in a
hotel after 4 hours of driving. The next morning, Dad drove the
remainder of the trip. If the average speed of the car was 60 miles
per hour, what was the remaining time left to drive on the second
part of the trip? Remember: Distance = rate multiplied by time.

13
Module 2 Lesson 22.notebook

December 17, 2013

Closing Questions
• What do we mean when we say “solve the equation 6x−8=40"?
• What property allows us to add 8 to both sides?
• What role does the additive inverse play in solving this equation,
and how can you model its use with the tape diagram?
• What role does the multiplicative inverse play in solving this
equation, and how can you model its use with the tape diagram?
• What does this equation look like when modeled using a tape
diagram?

14
Module 2 Lesson 22.notebook

December 17, 2013

15

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Solving Equations Using Algebra