Solving Multistep Inequalities

What happens to the inequality sign when you multiply both sides of an inequality by a positive number?

• It flips.

• It stays the same.

• It becomes an equal sign.

• It disappears.

If you divide both sides of the inequality 12 < 16 by -2, what should the new inequality be?

• -6 < -8

• -6 > -8

• 6 > 8

• 6 < 8

What is the rule in algebra when you multiply or divide by a negative number?

• The inequality sign flips.

• The inequality sign stays the same.

• The inequality sign is removed.

• The inequality sign becomes an equal sign.

In the inequality 1/8n < 84, what operation should you perform to isolate n?

• Subtract 8 from both sides.

• Multiply both sides by 8.

• Divide both sides by 8.

• Add 8 to both sides.

When graphing the solution to an inequality, what does an open circle on the number line represent?

• The inequality sign is flipped.

• The inequality is an equation.

• The number is not included in the solution.

• The number is included in the solution.

Saku makes $7.50 per hour and receives $50 in tips. How many hours must he work to make at least $110?

• 7 hours

• 8 hours

• 9 hours

• 10 hours

If a person loses 3 pounds per week and currently weighs 187 pounds, how many weeks will it take to weigh at most 164.5 pounds?

• 7 weeks

• 6.5 weeks

• 8 weeks

• 7.5 weeks

Randall Cobb has 265 receiving yards and averages 11 yards per reception. How many receptions does he need to exceed 364 yards?

• 11 receptions

• 9 receptions

• 8 receptions

• 10 receptions

If the temperature decreases by 4 degrees every 3 hours and it is currently 12 degrees, between what hours will the temperature not be below zero?

• 1 PM to 8 PM

• 1 PM to 9 PM

• 1 PM to 11 PM

• 1 PM to 10 PM

What is the inequality to represent the temperature not being below zero if it decreases by 4 degrees every 3 hours from 12 degrees?

• -4/3x + 12 ≥ 0

• 4/3x + 12 ≥ 0

• 4/3x - 12 ≥ 0

• -4/3x - 12 ≥ 0