Algebra 1 3-4 Solving Multi-Step Inequalities

5 (1 rating)

by Matthew Richardson

| 23 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

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10 pts

Solve It! Math Club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure shows how much they have raised by Wednesday. What is the minimum number of shirts they must still sell in order to reach their goal?

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10 pts

Problem 1 Got It?

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3

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Problem 1 Got It?

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4

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10 pts

Problem 1 Got It?

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10 pts

Problem 2 Got It?

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6

10 pts

Problem 3 Got It?

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7

10 pts

Problem 4 Got It? Reasoning: The first step in solving Problem 4 was to subtract 3n from each side of the inequality. What else could have been the first step in solving the inequality? Explain.

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10 pts

Problem 5 Got It?

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10 pts

Problem 5 Got It?

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14

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10 pts

Reasoning: Can you solve the inequality 2(x - 3) ≤ 10 without using the Distributive Property? Explain.

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20 pts

Error Analysis: Your friend says that the solutions of the inequality -2(3 - x) > 2x - 6 are all real numbers. Do you agree with your friend? Explain. What if the inequality symbol was ≥ ?

18

10 pts

Review Lesson 3-3: Solve the inequality.

-8 ≤ y

-8 ≥ y

-72 ≥ y

-72 ≤ y

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10 pts

Review Lesson 1-3: Match each number set into its number family.

- the nonnegative integers
- the counting numbers
- ..., -3, -2, -1, 0, 1, 2, 3, ...

- Natural Numbers
- Whole Numbers
- Integers

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10 pts

Vocabulary Review: Decide if the inequality symbol will change when you solve each inequality. Categorize the inequalities appropriately.

- 3t < 6
- -8s < 4
- 5x ≤ -10
- -4 ≤ -2a

- Reverse
- Stay the same

21

10 pts

Use Your Vocabulary: Use the words at least or at most to complete each sentence.

- at least
- at most

- You must be __?__ 18 years of age to vote in a national election.
- An elevator can safely carry __?__ 15 people.
- When water boils, you know the temperature is __?__ 212°F.
- If all books cost $3 and Jane has $20, she can buy __?__ books.

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10 pts

Use Your Vocabulary: Now match the appropriate inequality symbol with each sentence.

- ≥
- ≤

- You must be __?__ 18 years of age to vote in a national election.
- An elevator can safely carry __?__ 15 people.
- When water boils, you know the temperature is __?__ 212°F.
- If all books cost $3 and Jane has $20, she can buy __?__ books.

23

10 pts

Reflection: Math Success

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