Exploring Multi-Step Inequalities in Algebra 1

What is the first step in solving the inequality 167 < 6 + 7 * 2 - 7r?

• Distribute the 7

• Divide by -7

• Combine like terms

• Subtract 6 from both sides

After distributing the 7 in the inequality 167 < 6 + 7 * 2 - 7r, what is the next step?

• Switch the inequality

• Combine 6 and 14

• Subtract 20 from both sides

• Divide by -49

In the inequality 5(6 + 3r) + 7 ≥ 127, what do you get after distributing the 5?

• 30 + 15r + 7

• 30 + 3r + 7

• 6 + 15r + 7

• 30 + 3r + 127

What is the solution to the inequality 5(6 + 3r) + 7 ≥ 127?

• r < 6

• r > 6

• r ≤ 6

• r ≥ 6

In the inequality -8x + 2x - 16 < -5x + 7x, what is the result after combining like terms on both sides?

• -6x - 16 < 0

• -6x - 16 < 2x

• -6x - 16 < -2x

• -6x - 16 < 12x

What is the solution to the inequality -1 - 6x - 6 > -11 - 7x?

• x < -4

• x > -4

• x ≤ -4

• x ≥ -4

In the inequality a - 6 ≤ 15 + 8a, what is the result after subtracting a from both sides?

• -6 ≤ 15 + 9a

• -6 ≤ 15 + 6a

• -6 ≤ 15 + 8a

• -6 ≤ 15 + 7a

What is the solution to the inequality a - 6 ≤ 15 + 8a?

• a < -3

• a > -3

• a ≥ -3

• a ≤ -3

In the inequality -5n - 6n ≤ 8 - 8n - n, what is the result after combining like terms on both sides?

• -11n ≤ 8 - 9n

• -11n ≤ 8 - 6n

• -11n ≤ 8 - 8n

• -11n ≤ 8 - 7n

What is the solution to the inequality -x < -x + 7x - 14?

• x ≤ 2

• x ≥ 2

• x < 2

• x > 2