Inequalities Review

Match the inequality to the word problem.Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

• 25 - 12x ≥ 200
• 25 + 12x ≥ 200
• 13x ≥ 200
• 25 + 12x > 200

A student must be at least 15 years old to obtain a driver’s permit.

• x > 15
• x < 15 
• x ≤ 15
• x ≥ 15

To order from the kids menu a person must be no more than 12 years old.

• x > 12
• x < 12
• x ≥ 12
• x  ≤ 12

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

• 6x + 8 ≥ 42
• 8x + 6 ≤ 42
• 6x + 8 > 42
• 8x + 6 < 42

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile.  Katie has no more than $10 to spend on the taxi ride.

• 1.75 + 0.65m < 10
• 1.75 + 0.65m > 10
• 1.75m + 0.65 < 10
• 1.75m + 0.65 > 10

When graphing the sign < or >, is the circle open or closed?

• open

• closed

What are three possible solutions

to x > -9 ?

• -5

• 0

• -13

• 6

• -9

Solve:

-2x + 3 - x > 18

• x > 6

• x > 5

• x < -5

• x < -6

 $Solve.$  
 $\frac{1}{4}x\ -\ 5\ \le2$  

•  $x\le14$  

•  $x\le28$  

•  $x\le7$  

•  $x\le4$  

 $7x\ -\ 2\ \ge5x\ +\ 6\$  

Solve.

•  $x\ge8$  

•  $x\le6$  

•  $x\le5$  

•  $x\ge4$