Algebra 1 3-1 Complete Lesson: Inequalities and Their Graphs
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3.5 (2 ratings)
by Matthew Richardson
| 30 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.
The outlined content above was added from outside of Formative.
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1
1
10 pts
Solve It! By law, the height of a newly constructed building in Washington D.C., can be no greater than the width of the adjacent street, plus 20 ft. Pennsylvania Avenue, shown here, is the widest street in Washington D.C. What is the maximum allowable height of a new building?
60 ft
143 ft
133 ft
86 ft
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2
2
10 pts
Problem 1 Got It?
A
B
C
D
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3
3
10 pts
Problem 1 Got It?
A
B
C
D
4
10 pts
Problem 2 Got It? Consider the numbers -1, 0, 1, and 3. Which are soloutions of the inequality?

  • -1
  • 0
  • 1
  • 3
  • Solution of the inequality
  • Not a solution of the inequality
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5
5
10 pts
Problem 2 Got It? Reasoning:
In Problem 2, how is the solution of the related equation 2x + 1 = -3 related to the solutions of the inequality 2x + 1 > -3?
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6
6
10 pts
Problem 3 Got It? Match the graphs with their inequalities.
  • c < 0
  • x > -4
  • 3 ≤ n
  • Graph A
  • Graph B
  • Graph C
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7
7
10 pts
Problem 4 Got It?
A
B
C
D
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8
8
10 pts
Problem 4 Got It?
A
B
C
D
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9
9
10 pts
Problem 5 Got It? For the inequality, can the speed be all real numbers less than or equal to 8? Explain.
A
B
C
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10
10
10 pts
A
B
C
D
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11
11
5 pts
Yes
No
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12
12
5 pts
Yes
No
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13
13
5 pts
Yes
No
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14
14
5 pts
Yes
No
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15
15
10 pts
A
B
C
D
17
20 pts
Compare and Contrast: What are some situations you could model with x 0? How do they differ from situations you could model with x > 0?
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18
19
10 pts
Review Lesson 2-10: Original amounts and new amounts are paired below. Categorize each pair as an increase or decrease.
  • original amount: $10 ; new amount: $12
  • original amount: 20 in ; new amount: 18 in
  • original amount: 36° ; new amount: 12°
  • Increase
  • Decrease
20
10 pts
Review Lesson 2-10: Original amounts and new amounts are paired below. Match each pair with its percent change, rounded to the nearest percent.
  • original amount: $10 ; new amount: $12
  • original amount: 20 in ; new amount: 18 in
  • original amount: 36° ; new amount: 12°
  • 10% decrease
  • 67% decrease
  • 20% increase
21
10 pts
Review Lesson 1-6: Find the product.
Enter only a number.
22
10 pts
Review Lesson 1-6: Find the product.
Enter only a number, in this format: -2/17
23
10 pts
Review Lesson 1-6: Find the quotient.
Enter only a number.
24
10 pts
Review Lesson 1-6: Find the quotient.
Enter only a number, in this format: -17/2
25
10 pts
Review Lesson 2-1: Solve the equation.
Enter only a number.
26
10 pts
Review Lesson 2-1: Solve the equation.
Enter only a number, as a reduced fraction in this form: -7/8
27
10 pts
Vocabulary Review: Write an equation using 3, 13, and k.
28
10 pts
Use Your Vocabulary: Categorize each mathematical sentence as an equation or inequality.
  • 17 ≥ 5
  • 3x = 9
  • 2x > 5
  • 2(4) = 8
  • 8 < 3x
  • Equation
  • Inequality
29
100 pts
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.
30
10 pts
Reflection: Math Success
Add to my formatives list

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