Solving Multi-Step Inequalities

What is the first step in solving the inequality with parentheses?

• Divide by 6

• Subtract 48 from both sides

• Distribute the negative 6

• Add 6 to both sides

When solving inequalities, when do you need to flip the inequality sign?

• When adding a positive number

• When subtracting a positive number

• When adding a negative number

• When multiplying or dividing by a negative number

In the second problem, what operation is performed first?

• Divide by 14 on both sides

• Subtract 10 from both sides

• Multiply by 14 on both sides

• Add 10 to both sides

What is the solution to the inequality after flipping the sign in the second problem?

• x is less than 18

• x is greater than 18

• x is greater than -18

• x is less than -18

In the third problem, why do you need to flip the inequality sign twice?

• Because you add a negative number

• Because you subtract a positive number

• Because you divide by a negative number and then move the variable to the left side

• Because you multiply by a positive number

What is the final solution for the fourth problem?

• v is greater than -7

• v is not equal to -7

• v is equal to -7

• v is less than -7

In the fifth problem, why don't you need to flip the inequality sign?

• Because you divide by a positive number

• Because you add a positive number

• Because you subtract a positive number

• Because you multiply by a positive number

What is the inequality representing Susie's budget constraint for publishing her comic book?

• 220 + 3x ≤ 400

• 220 + 3x < 400

• 220 + 3x > 400

• 220 + 3x ≥ 400

How many tickets can Jamal buy if he spends $10 on a membership and each ticket costs $5?

• 9 tickets

• 8 tickets

• 7 tickets

• 6 tickets

What is the inequality representing Jamal's budget constraint for buying tickets?

• 10 + 5x > 40

• 10 + 5x < 40

• 10 + 5x ≤ 40

• 10 + 5x ≥ 40