Solving Multistep Inequalities Challenge

What should you do when you multiply or divide both sides of an inequality by a negative number?

• Add the same number to both sides

• Subtract the same number from both sides

• Flip the inequality sign

• Keep the inequality sign the same

In the inequality 4J - 28 ≥ 12, what is the first step to solve it?

• Add 28 to both sides

• Subtract 28 from both sides

• Multiply both sides by 4

• Divide both sides by 4

When graphing the inequality J ≥ 10, what type of circle should be used at 10?

• Open circle

• Closed circle

• No circle

• Double circle

In the inequality -8 > -1X + 4, what should you do after distributing the -1?

• Subtract 4 from both sides

• Multiply both sides by -1

• Divide both sides by -1

• Add 4 to both sides

What is the solution to the inequality 6X - 14 ≥ 4?

• X ≤ 3

• X ≥ 3

• X < 3

• X > 3

In the inequality 14P + 21 - 8 < 6P + 29, what is the first step to isolate the variable P?

• Add 6P to both sides

• Subtract 21 from both sides

• Subtract 6P from both sides

• Add 8 to both sides

What is the solution to the inequality 0.8X - 4 ≤ 2.8X + 6?

• X ≥ 5

• X ≤ 5

• X ≥ -5

• X ≤ -5

In the inequality 3/4Y - 7 > -1/4Y + 1, what is the first step to combine the Y terms?

• Subtract 3/4Y from both sides

• Add 1/4Y to both sides

• Subtract 1 from both sides

• Add 7 to both sides

What is the solution to the inequality Y - 7 > 1?

• Y < 8

• Y > 8

• Y > 6

• Y < 6

For the lunch programs, when will the second plan be cheaper?

• When there are 5 or more lunches

• When there are 10 or more lunches

• When there are 20 or more lunches

• When there are 15 or more lunches