Inequalities
Inequality 2
Equations
Mix
Proportions
100

25x + 5 ≤ 145


Given the inequality, which real world scenario is best represented?


  1. A school club has $145 to spend on new board games to play. Each board game costs $5 and shipping will cost $25. What is the maximum number of board games that can be purchased?

  2. A school club has $145 to spend on new board games to play. Each board game costs $5 and shipping will cost $25. What is the minimum number of board games that can be purchased?

  3. Ms. Kolvoord has $145 to spend. She wants to take her friends to the Jurassic Park Theme Park. Parking is $5 and tickets are $25 each. What is the maximum number of friends she can take to the theme park?

  4. Ms. Kolvoord has $145 to spend. She wants to take her friends to the Jurassic Park Theme Park. Parking is $5 and tickets are $25 each. What is the minimum number of friends she can take to the theme park?

  • Ms. Kolvoord has $145 to spend. She wants to take her friends to the Jurassic Park Theme Park. Parking is $5 and tickets are $25 each. What is the maximum number of friends she can take to the theme park?

100

Rey has at most $125 to spend on new barbies and a barbie car. The Barbie car that she wants cost $50. She wants to buy the car and spend the rest on barbies. Each barbie costs $11. Which inequality shows the maximum number of barbies that Rey can buy?


  1. 50 + 11x ≤ 125

  2. 50 + 11x<125

  3. 50 + 11x ≥ 125

  4. 50 + 11x >125

50 + 11x < 125

100

A family planned a trip and 52 family members attended.  Nine cars were filled and 7 more people traveled in a minivan.  How many people were in each car?

5

100

What is a value for y that makes the following true?

-x + 15 > 85

(-71, -72, -73...)

100

Six customers at a local hardware store are purchasing wood for their house. The table shows how many feet each customer buys and how much each customer pays. According to the table, how much does Jenny spend on 5 feet of wood?

50

200

Which inequality has its solution shown on the number line below?

  1. 2x + 5 ﹥ -13

  2. 2x - 5 ﹥  - 13

  3. -2x - 5 ﹥ - 13

  4. -2x - 5 ﹤ -13

-2x - 5 ﹤ -13

200

Which is a value for b that makes the following true?


b    - 4 < 6

-2


  1. -18

  2. -20

  3. -22

  4. -21

-18

200

John needs to find the solution to the equation:          9 - 4x = 27

First John will...

subtract 9 from both sides

200

Graph the solution to the inequality below on a number line.  

-6x > -12

closed circle on positive 2, arrow pointing left

200

Anne is training for a ballet recital. She burns 85 calories every hour she participates in dance class. How many calories will she burn in 3 hours?

255

300

Look at the inequality.


-36 ﹥ -8b +12


Which values for b could make the inequality true? Select all the correct answers.


  1. 6 ½

  2. - 6

  3. 5

6 1/2

300

 Which is a value for y that makes the following true?  

 y - 6 > 8

-3

1. - 30

2. 0

3. -43

4. -10



-43

300

Draw a model to represent. 

4x - 7 = 10

using the key given by teacher

see teacher

300

Which of the following situations could represent the inequality 16x < 440?

  1. Mark has 16 bakeries, each bakery needs 440 cookies.  What is the least amount of cookies he needs to bake?

  2. Debbie is loading a cart with boxes that weigh 16 pounds.  How many boxes can she load without exceeding the weight limit of 440 lbs?

  3. Sam has $440, he wants to buy a playstation and spend the rest on games that are $16.  How many games can he buy?

  4. Tom has a stamp collection.  He has 440 stamps and just got 16 more.  How many stamps does he have now?

2. Debbie

300

An architect creates a model of a store. The length of the model is 89.5 centimeters. One inch equals 2.89 centimeters. What is the length of the model, in inches?

*round to the nearest hundredth* 

30.97

400

What is the solution to the following inequality?


-2x + 4 ﹤ - 8.6


  1. X ﹤ - 6.3

  2. X ﹥ 6.3

  3. X ﹤- 2.3

  4. X ﹥ 2.3

X > 6.3

400

What is the solution to the following inequality?


-4h + 7 < -9.2

h > 4.05

400

 Which value of x makes -1/2 x + 12 = 5 true? 

1. -14

2. 14

3. -3.5

4. 3.5

5. 7.5

2. 14 

400

A person has less than $95 to spend on softballs and a bat.  She wants to buy a bat that costs $47 and spend the rest on softballs.  Each softball costs $8.  Which inequality shows how many softballs she can buy?


A. 8x + 47 > 95

B. 8x + 47 > 95

C. 8x + 47 < 95

D. 8x + 47 < 95


D. 8x + 47 < 95

400

A model car has the dimensions of 6 2/7 inches by 12 5/8 inches. What are the dimensions of the car if it is enlarged by a scale factor of 12?

*round to the nearest hundredth*

75.43 in by 151.5 in

500

Which graph best represents only the solutions to  2q + 5 ≤ -8



q < -6.5

500

Create solution set of the inequality h/2 + 5 < -9?

(-28, -29, -30...)

500

Zach opens an account with $725. Each week after, he deposits $75. In how many weeks will he have saved $1700?

13 weeks

500

What is the solution to the following inequality?


w+6 < 5

2

w < 4

500

How would you set up 18% of 78 if you didn't have desmos?

18   =  x

100      78
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