IM Accelerated Unit 4 Lessons 1-6 Cool Down Quiz

Andre looks at a box of paper clips. He says: “I think the number of paper clips in the box is less than 1,000.” 
Lin also looks at the box. She says: “I think the number of paper clips in the box is more than 500.”

1

Write an inequality to show Andre's statement, using "p" for the number of paper clips.

1

Write another inequality to show Lin's statement, also using "p" for the number of paper clips.

1

Do you think both Lin and Andre would agree that there could be 487 paperclips in the box? Explain your reasoning.

1

Do you think both Lin and Andre would agree that there could be 742 paperclips in the box? Explain your reasoning.

4

Select all numbers that are solutions to the following inequality :

1

Graph the solutions to the inequality in #5.

1

Lin says the following inequality describes her height in centimeters. What do the inequalities tell us about her height?

1

Andre notices that he is a little taller than Lin but shorter than their math teacher who is 164 centimeters tall. Write two inequalities to describe Andre's height. Let "a" be Andre's height.

3

Select all the heights that could be Andre's. If you get stuck, consider drawing a number line.

4

It is currently 0 degrees outside and the temperature is dropping 4 degrees every hour. After "h" hours the temperature is -4h.

a. Explain what the equation -4h = 14 represents.

b. What value of "h" makes the equation true?

c. Explain what the following inequality represents.

d. What values of "h" make the inequality true?

2

For each inequality, decide whether the solution is represented by x<2.5 or x>2.5. 

-4x + 5 >-5   _______ 

-25 > -5(x + 2.5)   _______ 
Type the inequality in the blank next to the inequality it represents. 

Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabytes of data, but 58 gigabytes are already taken up by other files. Each move is 8 gigabytes. Elena wrote the following inequality 
and solved it to find the solution 

1

Explain how you know Elena made a mistake base on her solution.

1

Write an inequality to show Andre's statement, using "p" for the number of paper clips.

Write another inequality to show Lin's statement, also using "p" for the number of paper clips.

Do you think both Lin and Andre would agree that there could be 487 paperclips in the box? Explain your reasoning.

Do you think both Lin and Andre would agree that there could be 742 paperclips in the box? Explain your reasoning.

Select all numbers that are solutions to the following inequality :

Graph the solutions to the inequality in #5.

Lin says the following inequality describes her height in centimeters. What do the inequalities tell us about her height?

Andre notices that he is a little taller than Lin but shorter than their math teacher who is 164 centimeters tall. Write two inequalities to describe Andre's height. Let "a" be Andre's height.

Select all the heights that could be Andre's. If you get stuck, consider drawing a number line.

Explain how you know Elena made a mistake base on her solution.

Fix Elena's inequality and explain what each part of the inequality means.