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Illustrative Math - Algebra 1 - Unit 2- Lesson 20

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Last updated 23 days ago
15 Questions
1.

Solve 2x<10. Explain how to find the solution set.

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2.

LIn is solving the inequality 15-x<14. She knows the solution to the equation 15-x=14 is x=1

How can Lin determine whether x>1 or x<1 is the solution to the inequality?

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3.

LIn is solving the inequality 15-x<14. She knows the solution to the equation 15-x=14 is x=1

How can Lin determine whether x>1 or x<1 is the solution to the inequality?

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4.

Write an inequality to represent the fact that it is cheaper for someone to use plan A than plan B. Use x to represent the number of texts they send.

5.

Solve the inequality.

6.

Clare made an error when solving -4x+3<23.

Describe the error that she made.

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7.

Clare made an error when solving -4x+3<23.

Describe the error that she made.

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8.

Write an inequality that expresses the mean number of steps that Diego needs to walk during the last 3 days of this week to walk more than 70,000 steps. Remember to define any variables that you use.

9.

If the mean number of steps Diego walks during the last 3 days of the week is 12,642, will Diego reach his goal of walking more that 70,000 steps this week?

10.

Here are statistics for the length of some frog jumps in inches:
  • the mean is 41 inches
  • the median is 39 inches
  • the standard deviation is about 9.6 inches
  • the IQR is 5.5 inches
How does each statistic change if the length of the jumps are measured in feet instead of inches?

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11.

Solve The System.

12.

Solve The System.

13.

Do you agree with Lin that her approach also works? Explain your reasoning.

14.

What are the smallest whole-number factors by which you can multiply the equations in order to eliminate x?

15.

What is the solution set of the inequality \frac{x+2}{2}\geq-7-\frac{x}{2}?

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This lesson is from Illustrative Mathematics. Algebra 1, Unit 2, Lesson 200. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/2/20/index.html ; accessed 26/July/2021.

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