Illustrative Math - Algebra 1 - Unit 2- Lesson 20

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15 Questions
1
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.
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5.
Solve the inequality.
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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.
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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?
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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.
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12.
Solve The System.
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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?
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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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