Solving Two-Step Inequalities and Equations

Solve for k.
2k - 9≤ -19

• k ≤ -5

• k ≤ 5

• k < -5

• k < 5

• x < -20

• x > -20

• x > 20

• x < 20

Solve 8 + 4x > 24

• x > 4

• x > 8

• x > 64

• x < 8

Solve the inequality and graph on a number line: 14 x - 3 ≤ -3 (The red arrows show the graphs.)

• x ≤ 0

• x ≤ 2

• x > 0

• x ≥ -2

Solve:
3x + 7 = -8

• 5

• -5

• -12

• -18

Pheobe has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Pheobe's situation.

• 200+25w ≥ 500

• 500-25w ≥ 200

• 500+25w ≤ 200

• 200-25w ≤ 500

Ross and Chandler go to Taco Land and order sodas for a total of $3.50. They also want to order some tacos (of course), which cost $1.75 each. If they have $20, how many tacos can they buy? Which inequality best represents the situation.

• 3.50 + 1.75t > 20

• 1.75 + 3.50t ≤ 20

• 3.50 + 1.75t ≥ 20

• 1.75t + 3.50 ≤ 20

Do I need to flip my sign?
-3x  ≥ 12

• Yes

• No

Solve and graph the inequality.
7n - 1 > 76

• A

• B

• C

• D

-3x − 4 < 5

• x > -3

• x < -3

• x < (1 ⁄ 3)

• x > (1 ⁄ 3)