Exploring Two-Step Inequalities in Algebra 1

What is the first step in solving the inequality 2X + 4 ≥ 24?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 4 from both sides

• Add 4 to both sides

After isolating the term with X in the inequality 2X + 4 ≥ 24, what is the next step?

• Divide both sides by 2

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 2

In the inequality m/3 - 3 ≤ -6, what operation is performed first?

• Divide both sides by 3

• Add 3 to both sides

• Multiply both sides by 3

• Subtract 3 from both sides

When solving the inequality -3p + 1 ≤ -8, what must you remember to do when dividing by a negative number?

• Add the negative number to both sides

• Flip the inequality sign

• Subtract the negative number from both sides

• Keep the inequality sign the same

In the inequality -4(-4 + x) > 56, what is the first step?

• Divide both sides by -4

• Subtract 4 from both sides

• Add 4 to both sides

• Distribute -4 to both terms inside the parentheses

After distributing in the inequality -4(-4 + x) > 56, what is the next step?

• Multiply both sides by -4

• Subtract 16 from both sides

• Add 16 to both sides

• Divide both sides by -4

In the inequality B - 2 > 8, what is the first step?

• Subtract 2 from both sides

• Multiply both sides by -1

• Divide both sides by -1

• Add 2 to both sides

When solving the inequality -4(3 + n) > -32, what is the first step?

• Add 4 to both sides

• Subtract 4 from both sides

• Distribute -4 to both terms inside the parentheses

• Divide both sides by -4

In the inequality 4 + n/3 < 6, what is the first step?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 4 from both sides

• Add 4 to both sides

When solving the inequality -3r - 4 ≥ 0, what must you remember to do when dividing by a negative number?

• Subtract the negative number from both sides

• Keep the inequality sign the same

• Flip the inequality sign

• Add the negative number to both sides