Framing/Writing Linear Inequalities

Write an expression.

Anita needs at least a 94 on her next test to get an A in math class.

• a ≤ 94

• a ≥ 94

• a < 94

• 94 > a

How would you say this?
y ≤ 18

• y is less than or equal to 18

• y is less than 18

• y is greater than 18

• y is greater than or equal to 18

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7.10.C

Ella's mom said she may have 8 friends at most at the sleep over.

• r > 8

• r < 8

• r ≤ 8

• r ≥ 8

Choose the inequality that matches the key word:

Less than 2500 calories

• x ≥ 2500

• x ≤ 2500

• x > 2500

• x < 2500

You have at most 8 hours to spend at the mall and at the beach. Write an inequality that represents this situation.

Robin earned $7.50 per hour plus $100 in tips waiting tables on Saturday. She earned a minimum of $160. Let x represent the number of hours Robin worked on Saturday. Select the inequality that describes this situation.

A local charity wants to raise at least $400 by Sunday afternoon. The charity raised $125 at a car wash on Friday and $85 at a car wash on Saturday. On Sunday, the charity plans to sell cakes for $12 each. Write an inequality to describe how many cakes, x, need to be sold on Sunday in order to meet the fundraising goal.

• 12x+210≥400

• 12+210≤400

• 12+210x≤400

• 12x+210≤400

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill. Write an inequality that represents this situation.

You need to earn at least $85 to cover your gas and food expenses. Your babysitting job pays $7.50 per hour and your math tutoring job pays $6 per hour. Write an inequality that represents this situation.

Write the inequality:

Mathematical Equivalence

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