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Algebra 1 3-7 Guided Practice: Absolute Value Equations and Inequalities

Last updated over 5 years ago
12 questions
10

Solve It! Serena skates toward Darius and then passes by him. She skates at a constant speed of 20 ft/s. At what time(s) is Serena 60 ft from Darius? Select all that apply.

  • 1 second
  • 2 seconds
  • 3 seconds
  • 5 seconds
  • 7 seconds
  • 8 seconds
  • 60 ft from Darius
10

Problem 1 Got It? What are the solutions of the equation?

10

Problem 1 Got It? Graph and check the solutions.
Include relevant graph detail.

10

Problem 2 Got It? Another friend's distnace d from you (in feet) after t seconds is given by d = |80 - 5t|. What does the 5 in the equation represent?

10

Problem 2 Got It? Another friend's distnace d from you (in feet) after t seconds is given by d = |80 - 5t|. What does the 80 in the equation represent?

10

Problem 2 Got It? Another friend's distnace d from you (in feet) after t seconds is given by d = |80 - 5t|. At what time is she 60 ft from you?
Select all that apply.

10

Problem 3 Got It?

10

Problem 4 Got It? What are the solutions of the inequality?

10

Problem 4 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

10

Problem 5 Got It? A food manufacturer makes 32-oz boxes of pasta. Not every box weighs exactly 32 oz. The allowable difference from the ideal weight is at most 0.05 oz. Write and solve an absolute value inequality to find the range of allowable weights.

10

Problem 5 Got It? Reasoning: In Problem 5, could you have solved the inequality |w - 213| ≤ 5 by first adding 213 to each side?

10

Problem 5 Got It? Reasoning: Explain your response to the previous item.