Unit 2B CP Study Guide

Solve and graph the following inequality:

 $13x-\left(5x-1\right)>-15$  

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What is the solution to the inequality below?

 $3\left(p-3\right)>-3\left(p+2\right)$  

•  $p<\frac{1}{2}$  

•  $p>\frac{1}{2}$  

•  $p<\frac{5}{6}$  

•  $p>\frac{5}{6}$  

Choose the inequality that represents the following grades from a high school unit test:

Highest grade: 95

Lowest grade: 42

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  $42<x<95$
  

• $42>x>95$

• $42\ge x\ge95$

• $42\le x\le95$

Mrs. Reynolds solved an inequality using the steps below.

 $Given:\ 4\left(3-x\right)>24$  

 $Step\ 1:\ 12-4x>24$  
 $Step\ 2:\ -4x>12$  
 $Answer:\ x>-3$  

Did Mrs. Reynolds solve the inequality correctly or did she make a mistake?
If she made a mistake, between what two steps did it occur?

• Between Given and Step 1

• Between Step 1 and Step 2

• Between Step 2 and Answer

Which of the following inequalities does this graph represent?

• $7<x\le10$

• $7\le x\le10$

• $x\le7\ or\ x\ge10$

• $x<7\ or\ x>10$

Payton can spend at most $60 at the fair. Tickets to the rides cost $2.50 each. Which of the inequalities represents the number of tickets, x, she can purchase at the fair?

• $2.50x<60$

• $2.50x>60$

• $2.50x\le60$

• $2.50x\ge60$

Benjamin works at a hat store. He receives a base pay of $90 plus $4.50 for every hat he sells. This week, Benjamin wants to make at least $285. Write an inequality for the number of hats, x, that he needs to sell in order to meet his goal.

• $90+4.50x\ge285$

• $90+4.50x>285$

• $90+4.50x\le285$

• $90+4.50x<285$

Mrs. Oliver wants to go on a cruise to the Bahamas. The total cost is $345 for the roundtrip airfare plus $85 per night for the hotel. She can spend a maximum of $1195.

Which inequality can be used to show the maximum number of nights that Mrs. Oliver can afford?

• $345+85n\ge1195$

• $345+85n\le1195$

• $345n+85\ge1195$

• $345n+85n\le1195$

Solve the following inequality:

 $9x-12\ge8+11x$  

•  $x<-10$  

•  $x\le-10$  

•  $x>10$  

•  $x\ge10$  

Which inequality correctly matches the graph?

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  $6<x<12$
  

• $6\le x<12$

• $6<x\le12$

• $6<x<12$