Multistep Inequalities and Equations

-8x < 48

• x < -6

• x > -6

• x < 6

• x > 6

• r < -5

• r > -5

• r < -245

• r > -245

Twice the sum of a number and 5 is less than 40. Choose the inequality to find the unknown number. Then solve.

• 2(n + 5) > 40, n > 15

• 2(n + 5) < 40, n < 15

• 2n + 5 > 40, n > 17.5

• 2n - 5 < 40, n < 17.5

Solve for x: -2x - 3 ≤ 13

• x ≥ 8

• x ≥ -8

• x ≤ 8

• x ≤ -8

When do you "flip the inequalities sign"?

• When you add or subtract a negative

• When it's a 1-step problem

• When you multiply or divide a negative

• When it's a 2-step problem

Match the graph with its inequality.

• 11 < a

• 11 > a

•  11 ≤ a

•  11 ≥ a

• x ≥ 2
• x ≥ -2
• x ≤ 2
• x ≤ -2

9+2a=-3-4a

• a = -2

• a = 2

• a = 5

• a = -1

2+14a=-8+9a

• a = 2

• a = -2

• a = ⁶⁄₅

• a = 1

22+2a=37+6+a

• a = 21

• a = 5

• a = -5

• a = -16