2.1.5 PRETEST: Solving Inequalities

Which number line shows the solutions to x > 5 ?

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Which number line shows the solutions to x < 5 ?

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Which number line shows the solutions to x ≥ 5 ?

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Jordan has more than 25 coins in his collection.

Which inequality shows the number of coins in Jordan's collection?

• x + 25

• x < 25

• x > 25

• x = 25

Michael has more than 20 coins in his collection.

Which inequality shows the number of coins in Michael's collection?

• x > 20

• x < 20

• x + 20

• x = 20

Gaëlle has fewer than 32 coins in her collection.

Which inequality shows the number of coins in Gaëlle's collection?

• x < 32

• x > 32

• x = 32

• x + 32

Which situation can be represented by

14.25x > 1 28 ?

• Darmal earns $14.25 per hour at his job. How many hours does he need to work to earn more than $128?

• A waitress received a $14.25 tip. This brought her total tips to more than $128. How much money in tips did she have before the $14.25 tip?

• Brianna made a deposit of $14.25 into her savings account. This brought the total in the savings account to $128. How much money did she have in the savings account before she made the deposit?

• A dozen tamales cost $14.25, including tax. How many dozen tamales can a customer buy with $128?

Which situation can be represented by

15.75x > 145 ?

• Byron sells each birdhouse he makes for $15.75. How many birdhouses does he need to sell to earn more than $145?

• A salesman received a $15.75 commission on an item he sold. This brought his total commission for the week to more than $145. How much money in commission did he have before the $15.75 commission?

• Leah made a deposit of $15.75 into her checking account. This brought the total in the checking account to $145. How much money did she have in the checking account before she made the deposit?

• A dozen tacos cost $15.75, including tax. How many dozen tacos can a customer buy with $145?

Which situation can be represented by

11.50x > 118 ?

• Kelly earns $11.50 for each lawn she mows. How many lawns does she need to mow to earn more than $118?

• A waiter received an $11.50 tip. This brought his total tips to more than $118. How much money in tips did he have before the $11.50 tip?

• Jackson made a deposit of $11.50 into his savings account. This brought the total in the savings account to $118. How much money did he have in the savings account before he made the deposit?

• A dozen bagels cost $11.50, including tax. How many dozen bagels can a customer buy with $118?

Solve and graph the inequality

3x ≤ 18.

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