Solving Inequalities with Variables

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 

In an equation or inequality, you want to get the variable...

• on one side
• to disappear
• isolated (by itself)

Match the graph with its inequality.

• 11 < a
• 11 > a
•  11 ≤ a
•  11 ≥ a

"At most" and "No more than" are both clue words for...

• <
• >
• ≤
• ≥

Pick the correct letter for:

6 > x

• A

• B

• C

• D

Match:
You must be at least 48 inches tall to ride the bumper cars.

• h < 48
• h > 48
• h ≤ 48
• h ≥ 48

Jim has $8 to spend on pizza. The slice is $4 and each topping is $0.50. Create an inequality to represent the number of toppings Jim can get if he only buys one slice of pizza.

• 4x + 0.50 ≥ 8
• .50x + 4 < 8
• 0.50x +4 ≤ 8
• 4x +0.50 ≤ 8

Juan is saving for a new computer and has saved $213. He is saving $3 a day and needs at least $654 for the computer he wants. How many weeks will it take him to save for the computer he wants?

• at most 147 weeks

• at most 21 weeks

• at least 147 weeks

• at least 21 weeks

Does the sign need to flip when solving?
-2x ≥ 22

• YES
• NO

A limo driver needs to make more than $450 in one day.  He charges a rental fee of $375 and $0.85 per mile.  What inequality represents the number of miles, x, he would have to drive to reach his goal?

• 0.85x + 375 > 450
• 0.85x + 375 < 450
• 0.85 + 375x > 450
• 0.85 + 375x < 450