Lesson 5-7: Solve Multistep Inequalities

Lesson 5-7: Solve Multistep Inequalities

Open Ended

How can you tell whether you will need to use the Distributive Property when you solve an inequality?

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Question #1

Part 1 Similarities

"To solve a multi-step equation and inequality you must _____________ like terms and use properties of operations and inverse operations to solve.

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Question #1

Part 2 Differences

The ___________ to a multistep equation is a single value while the solution to inequalities includes more values.

Open Ended

Question #2

type in your answer

Answer for #2

• First use the Distributive Property (D.P.)

• Second combine like terms

• Third solve

Multiple Choice

Question #3

• Yes

• No

Answer for #3

• The inequality solution says that the values of R must be greater than but not equal to 7 which we show on a graph with an open circle

• 
  

• 
  

Multiple Choice

Question #4

• n < 2

• n > 2

• n < 3.5

• n > 3.5

Open Ended

What two steps did you have to do before you could solve this problem?

Distribute and Combine like terms

• What are you going to need to do in #5 before you can solve?

Multiple Choice

Question #5

• -7 arrow to the left

• -7 arrow to the right

• -5 arrow to the left

• -5 arrow to the right

Multiple Choice

Question #6

• 14 arrow to the right

• 12 arrow to the right

• 17 arrow to the left

• 14 arrow to the left

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Question #7a

x < ____

Multiple Choice

Question #7b

• A

• B

• C

• D

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Question #8a

Michelle subtracted 6 from -22 when she should have __________ it.

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Question #8b

Multiple Choice

Question #9

Which is the correct inequality to use for this problem?

• x + x + 4

• 2(x) + 2(x + 7)

• x + x + 4 > 154

• 2(x) + 2(x + 7) > 154

What do you need to do before you can solve this problem?

• Distribute and combine like terms

Fill in the Blank

Question #9

What do you get when you solve?

Multiple Choice

Question #10

• Yes

• No

Open Ended

Why is she not correct?

The left side has only constants which can all be combined. But the right side has variable terms and constants which cannot be combined.