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Algebra 1 3-6 Complete Lesson: Compound Inequalities

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Last updated almost 4 years ago
36 questions
Note 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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Question 1
1.

Solve It! The diagram shows the number of boxes of oranges that an orange tree can produce in 1 year. An orange grower earns $9.50 for each box of oranges that he sells. How much could the grower expect to earn in 1 year from 1 tree? Explain your reasoning.

Question 2
2.

Problem 1 Got It? Write a compound inequality that represents the phrase.

all real numbers that are greater than or equal to -4 and less than 6

Question 3
3.

Problem 1 Got It? Graph the compound inequality that represents the phrase.

all real numbers that are greater than or equal to -4 and less than 6

Question 4
4.

Problem 1 Got It? Write a compound inequality that represents the phrase.

all real numbers that are less than or equal to 2.5 or greater than 6

Question 5
5.

Problem 1 Got It? Graph the compound inequality that represents the phrase.

all real numbers that are less than or equal to 2.5 or greater than 6

Question 6
6.

Problem 1 Got It? What is the difference between "x is between -5 and 7" and "x is between -5 and 7, inclusive"?

Question 7
7.

Problem 2 Got It? What are the solutions of -2 < 3y - 4 < 14? Graph the solutions.

Remember to write the simplified compound inequality before graphing the solutions on the number line.

Question 8
8.

Problem 3 Got It? Reasoning: Suppose you scored 78, 78, and 79 on the first three tests. Is it possible for you to earn a B in the course? Explain.

Recall that in this scenario Bs represent grades of 84 - 86, inclusive.
Assume that 100 is the maximum grade that you can earn in the course.

Question 9
9.

Problem 4 Got It? What are the solutions of -2y + 7 < 1 or 4y + 3 ≤ -5? Graph the solutions.

Remember to write the simplified compound inequality before graphing the solutions on the number line.

Question 10
10.

Problem 5 Got It? How do you write (-2, 7] as an inequality?

Question 11
11.

Problem 5 Got It? What is the graph of (-2, 7]?

Question 12
12.

Problem 5 Got It? How do you write y > 7 in interval notation?

Question 13
13.

What compound inequality represents the phrase "all real numbers that are greater than or equal to 0 and less than 8"? Write the inequality and graph the solutions on the canvas.

Question 14
14.

What are the solutions of the compound inequality
Solve the inequality and graph the solutions on the canvas.

Question 15
15.

Your test scores in science are 83 and 87. What possible scores can you earn on your next test to have a test average between 85 and 90, inclusive?

10
Question 16
16.

Write the interval represented on the number line as an inequality.

10
Question 17
17.

Write the interval represented on the number line in interval notation.

2
Question 18
18.

Is this a compound inequality?

2
2
2
Question 23
23.

Reasoning: What are the solutions of the inequalities as a compound inequality?

Question 24
24.

Reasoning: What are the solutions of the compound in equality in interval notation?

Question 26
26.

Review Lesson 3-5: Let A = {1, 3, 5, 7}, B = {4, 8, 12}, and let the universal set be U = {1, 2, 3, 4, 5, 6, 7, 8, 12, 15}.

Categorize the sets.

  • {}
  • {1, 5}
  • {1, 3, 5, 7}
  • {4, 12}
  • {2, 4, 6, 8, 12, 15}
  • {5}
  • Subset of A
  • Subset of B
  • A'
Question 27
27.

Review Lesson 3-5: Let A = {1, 3, 5, 7}, B = {4, 8, 12}, and let the universal set be U = {1, 2, 3, 4, 5, 6, 7, 8, 12, 15}.
Is B' a subset of A?

Question 28
28.

Review Lesson 3-5: Solve the inequality.

Question 29
29.

Review Lesson 1-5: Complete each statement with <, =, or >.

  • <
  • =
  • >
  • |3 - 7| __?__ 4
  • |-5| + 2 __?__ 6
  • |6 - 2.5| __?__ 3.3
Question 30
30.

Vocabulary Review: Categorize each math sentence as an inequality or an equation.

  • 15 > -12
  • 18 ≤ 35
  • 5x = 15
  • 9 > 3x
  • Inequality
  • Equation
Question 31
31.

Vocabulary Review: Match the inequality symbol to its description. Not all inequlaity symbols will be used.

  • >
  • <
  • ≥
  • ≤
  • greater than
  • less than or equal to
  • greater than or equal to
Question 32
32.

Use Your Vocabulary: Identify the inequalities that are NOT compound inequalities. Select all that apply.

Question 33
33.

Use Your Vocabulary: Match each description on the left with the compound inequality it describes on the right.

  • all numbers less than 9 or greater than 5
  • all numbers less than 9 and greater than 5
  • all numbers less than 5 or greater than 9
  • all numbers less than 5 and greater than 9
Question 34
34.

Use Your Vocabulary: Which compound inequality from the previous item describes an empty set ?

Question 35
35.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Question 36
36.

Reflection: Math Success

Question 19
19.

Is this a compound inequality?

Question 20
20.

Is this a compound inequality?

Question 21
21.

Is this a compound inequality?