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Algebra 1 3-1 Guided Practice: Inequalities and Their Graphs

By Matt Richardson
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Last updated about 2 years ago
15 Questions
10
1.
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?
10
2.
Take Note: Categorize each phrase on the left based on the inequality symbol that represents it.
  • is less than or equal to
  • is at most
  • must be less than
  • is at least
  • can not be as great as
  • must be more than
  • is greater than
  • is greater than or equal to
  • <
  • \leq
  • >
  • \geq
10
3.
Problem 1 Got It?
10
4.
Problem 1 Got It?
10
5.
Take Note: Define solution of an inequality.
5
6.
Take Note: Which of the following numbers are solutions of the inequality below?
x\geq3
Select all that apply.
5
7.
Take Note: How many solutions exist for the inequality below?
x\geq3
10
8.
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
10
9.
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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10.
Problem 3 Got It? Match the graphs with their inequalities.
  • 3 ≤ n
  • x > -4
  • c < 0
  • Graph A
  • Graph B
  • Graph C
10
11.
Take Note: Tag each inequality on the right with the three items from the left that describe its graph.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.
  • has an arrow pointing to the left
  • has a closed dot
  • 5 is a solution of the inequality
  • has an arrow pointing to the right
  • has an open dot
  • 5 is not a solution of the inequality
  • x<5
  • x\leq5
  • x>5
  • x\geq5
10
12.
Problem 4 Got It?
10
13.
Problem 4 Got It?
10
14.
Problem 5 Got It? For the inequality, can the speed be all real numbers less than or equal to 8? Explain.
10
15.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?