Linear Inequality Word Problems

Review/Linear Inequalities/Inequality Word Problems

By Austin Wilcox

Solving systems by elimination.

What are our three steps to solving any system by elimination?

​

​ 1.

Subject | Subject

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Solving systems by elimination.

What do we do if we do not have like coefficients on one of our variables?​

Subject | Subject

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Multiple Choice

LCM(3, 8) =

• 16

• 24

• 32

• 48

Multiple Choice

LCM(5, 10) =

• 50

• 30

• 10

• 5

Multiple Choice

LCM(6, 7) =

• 84

• 21

• 13

• 42

Multiple Choice

LCM(12, 8)

• 96

• 24

• 36

• 72

Multiple Choice

Cups are sold 5 to a package and plates are sold 10 to a package. If you want to have the same number of each item for a party, what is the least number of packages of each you need to buy?

• 30
• 20
• 50
• 10

Multiple Choice

If Juanita runs every third day and swims every fifth day, what is the first day that she will both run and swim again? 

• 5
• 15
• 45
• 30

Solve the system

​8x-5y=17

9x+5y=51​

Subject | Subject

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Solve the system

​9x-2y=-2

5x+7y=-66​

Subject | Subject

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Multiple Choice

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, -10)
• (-1, 5)
• (5, 20)

Multiple Choice

Are the points on the line part of the solution set or not?

• Yes, they are part of the solution set
• No, they are NOT part of the solution set

Multiple Choice

Select the correct graph for each inequality. y≤ -¾x -1

• A
• B
• C
• D

Linear inequalities

As a reminder here is how we graph a linear inequality.

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Step 1:​ Determine if your line is dotted (< and >) or solid (< and >)

Step 2: Graph the line as you would if it wasn't ​an inequality.

Step 3: Test a point not on the line to determine what region includes all of the points that satisfy the inequality.​

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Linear inequalities

Example:​

Graph the following inequality:

y>3x+2​

Linear inequalities

Example:​

Graph the following inequality:

8x-4y<24​

Linear Inequality Key Words​

Word Problems Key Words​

Linear Inequality Key Words​

Suppose your class is raising money for the Red Cross. You make $4 on each box of fruit and $5 on each package of cheese. How many of each type must you sell if you want to raise more than $100.

Linear Inequality Key Words​

Suppose you want to spend no more than $60 on books. How many of each type can you buy if harcovers cost $12 and paperback costs $5?​