Inequalities from Words

Which inequality is represented by the words " no more than" or "at most"?

• <

• >

• ≤

• ≥

Which represents the word sentence as an inequality?

• n < 17

• n > 17

• n ≤ 17

• n ≥ 17

Translate the sentence into an inequality.

• n - 7 > 18

• 7 - n ≥ 18

• n - 7 ≥ 18

• n + 7 ≥ 18

7 is less than a number.

• x > 7

• x < 7

• x ≤ 7

• x ≥ 7

The fair is in town and you have earned $50 from math tutoring and want to go. If each ride is $2.50 and each game is $2. Write an inequality that represents this situation.

Ruby set a goal of saving at least $200 in a savings account. She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal? Write the inequality to the problem.

• 5x+60 ≥ 200

• 5x+60 ≤ 200

• 60x+5 ≥ 200

• 60x+5 ≤ 200

It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents this situation?

• 2x + 3y ≤ 18

• x + y ≤ 6

• x + y ≤ 9

• 3x + 2y ≤ 18

• x+y<3

Alicia has at most $196 to buy a new baseball glove and a new baseball bat. Which inequality represents this situation?

• y ≤ 196 – x

• y ≤ 196 + x

• 196 ≤ y + x

• y – x ≥ 196

Ken has $264 in his bank account.  He needs to deposit enough money to make his car payment of $189 and still have at least $150 left in his account.  Which inequality describes d, the amount of money Ken needs to deposit?

• 264 + 189 + d ≥150

• d(264 - 189) ≥ 150

• 264 - 189 + d ≥ 150

• d - 189 ≥150

Jacob has x $5 bills and y $50 bills in his wallet. The total value of the bills is no more than $350. Create an inequality that models this situation. ( start with x )

• 5x

• 50y

• 350

• 50x

• 5y

• <