Solving Two-Step Inequalities Challenge

What is the first step in solving the inequality 5x - 4 ≥ 11?

• Divide both sides by 5

• Multiply both sides by 5

• Add 4 to both sides

• Subtract 4 from both sides

After isolating the variable in the inequality 5x - 4 ≥ 11, what is the next step?

• Divide both sides by 5

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 5

When solving the inequality b / -3 + 4 < 13, what must you remember to do when multiplying by a negative number?

• Subtract the same number from both sides

• Keep the inequality symbol the same

• Reverse the inequality symbol

• Add the same number to both sides

In the inequality b / -3 + 4 < 13, what is the value of b after solving?

• b < 27

• b > -27

• b < -27

• b > 27

What is the first step in solving the inequality -7(x + 3) ≤ 28?

• Divide both sides by -7

• Distribute -7

• Subtract 3 from both sides

• Add 3 to both sides

After distributing -7 in the inequality -7(x + 3) ≤ 28, what is the next step?

• Divide both sides by -7

• Multiply both sides by -7

• Subtract 21 from both sides

• Add 21 to both sides

In the weight-loss problem, what is the minimum average weight loss per month the contestant aims for?

• 7 pounds

• 9 pounds

• 6 pounds

• 8 pounds

How many pounds must the contestant lose in the fifth month to meet the goal of an average of at least 8 pounds per month?

• 4 pounds

• 6 pounds

• 7 pounds

• 5 pounds

What is the total weight loss over the first four months in the weight-loss problem?

• 30 pounds

• 38 pounds

• 34 pounds

• 36 pounds

If the contestant wanted to lose an average of 9 pounds per month instead of 8, how would the goal change?

• They would need to lose 8 pounds in the fifth month

• They would need to lose 7 pounds in the fifth month

• They would need to lose 6 pounds in the fifth month

• They would need to lose 5 pounds in the fifth month