Lesson 5-6: Solve Two-Step Inequalities

Lesson 5-6: Solve Two-Step Inequalities

Open Ended

How can you be sure you are using the correct inequality symbol when you solve for a two-step inequality?

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Question #1

Part 1 Similarities

"Both involve performing two different operations and using inverse relationships of operations to

the variable."

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Question #1

Part 2 Differences

"The multiplication and division properties of inequality are different when dividing or multiplying by a negative value because the inequality symbol must be

."

Open Ended

Question #2

A two step equation has exactly one solution; a two step inequality has an infinite number of solutions.

Open Ended

Question #3

THey are used to isolate the term with the variable and to find the value of the variable.

Multiple Choice

Question #4

Which inequality should you use?

• 3x $\ge$ 12

• 3x + 3 $\ge$ 12

• 3x $\le$ 12

• 3x + 3 $\le$ 12

Multiple Choice

Question #4

The solution

• x $\le$ 3

• x $\ge$ 3

• x $\ge$ 45

• x $\le$ 45

Multiple Choice

Question #5

• 4

• 30

• 43

• 5

Multiple Choice

Question #6

Choose the correct inequality for this problem

• 348.25 + 5.5x $\ge$ 1,000

• 1,000 + 5.5x $\le$ 348.25

• 348.25 + 5.5x $\le$ 1,000

• 1,348.25 $\le$ 5.5x

Multiple Choice

Question #6

The solution

• Tomas can spend up to $118.50

• Tomas can spend more than $118.50

• Tomas can spend up to $245.14

• Tomas can spend more than $245.14

Multiple Choice

Question #7

• x < 45

• x < -45

• x > 45

• x > -45

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Question #8

Put your answer in the box; just the number.

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Question #9

Just the number

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Question #10

symbol and number

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Question #10b

symbol and number

Multiple Choice

Question #10c

• A

• B

• C

• D