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Lesson 20 - Unit 2 - Algebra 1 - Illustrative Mathematics

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

1
Asemmisa {{asɛmmisaAhyɛnsode}}
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.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Solve the inequality.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

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

Describe the error that she made.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

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

Describe the error that she made.

1
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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.

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Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

1
Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Solve The System.

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Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Solve The System.

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Asemmisa {{asɛmmisaAhyɛnsode}}
13.

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

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14.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

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

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.

IM Algebra 1, Geometry, Algebra 2 is © 2019 Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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