Solving Two-Step Inequalities

What is an inequality?

• A relation between two constants

• A relation between two variables

• A relation between two expressions that are not equal

• A relation between two equal expressions

Which symbol represents 'greater than or equal to'?

• ≥

• ≤

• >

• <

What is the first step in solving the inequality 2x - 10 < 80?

• Multiply both sides by 2

• Add 10 to both sides

• Subtract 10 from both sides

• Divide both sides by 2

After adding 10 to both sides of the inequality 2x - 10 < 80, what is the next step?

• Add 10 to both sides

• Subtract 10 from both sides

• Divide both sides by 2

• Multiply both sides by 2

In the inequality 12x - 8 ≥ 20, what is the constant term?

• 12

• x

• 20

• 8

What happens to the inequality sign when you divide both sides by a negative number?

• It stays the same

• It flips direction

• It disappears

• It becomes an equal sign

In the inequality -4x ≥ -25, what is the result after dividing both sides by -4?

• x ≥ -6.25

• x ≥ 6.25

• x ≤ 6.25

• x ≤ -6.25

What is the first step in solving the word problem involving Caitlyn and the canoe rental?

• Subtract the deposit from the total amount

• Divide the total amount by the hourly rate

• Multiply the hourly rate by the number of hours

• Add the deposit to the total amount

How many hours can Caitlyn rent the canoe if she has $50, an $18 deposit, and a $10.50 hourly rate?

• 5 hours

• 4 hours

• 3 hours

• 2 hours

What should you do if a problem does not result in a clean number?

• Leave it as it is

• Use a different method

• Round to the nearest whole number

• Ignore the problem