Inequalities to Solve Problems

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith withdraw money from his account?

• 16 weeks 

• 14 weeks 

• 12 weeks 

• 10 weeks 

 Solve and then match the correct solution & graph.

• A

• B

• C

• D

Solve for t.

6t + 4 ≤ -2

• t ≤ -1 

• t ≤ 1

• t=1

• 1=t

-3y + 2 > 11

• y < -3

• y > -3

• y < 3

• y > 3

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

• 20x + 120 ≥ 3

• x/3 + 20 ≤ 120

• 3x + 20 ≤ 120

• 3x + 20 ≥ 120

Is the given value a solution of the inequality?

• Yes

• No

Match the graph with the given solution.

• A

• B

• C

• D

at least

• <

• >

• ≤

• ≥

Translate into an inequality:
2 times a number is greater than 6

• 2-x<6

• 2x>6

• 2x>-6

• 2x<6

You flip an inequality symbol when you...

• subtract

• multiply and divide only

• multiple by a negative number

• multiple or divide by a negative number