Inequalities Multi-Step

You want to spend at most $1200 on a new laptop.  If you make a $400 down payment, then pay the same amount every month for 12 months.  Which Inequality could be use to solve to find out how much you can pay each month.

• 12x + 1200 > 400

• 12x + 400 < 1200

• 12x + 400 > 1200

• 12x + 400 < 1200

Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.

• 25 - 2.5d > 50 - 3.25d

• 25 - 2.5d < 50 - 3.25d

• 25 + 2.5d > 50 + 3.25d

• 25 + 2.5d < 50 + 3.25d

What inequality does the number line graph represent?

• x/3 + 10 ≤ -2

• x/2 + 10 ≥ -4

• x/2 - 6 < -8

• x/3 - 2 < 4

3 < -5n + 2n

• n < 1

• n > 1

• n < -1

• n > -1

9 ≥ -2m + 2 − 3

• m ≤ 5

• m ≤ -5

• m ≥ -5

• m ≥ 5

What inequality does the number line graph represent?

• 5x + 3 ≥ 18

• 3x + 5 > 10

• 2x - 8 < 14

• 4x - 9 ≤ 3

Match the graph with its inequality.

• 4(b-3) - 6 > –2

• 4(b+2) +4 < –2

• 4(b+3) - 6 ≥ –2

• 4(b+3) -6 ≤ –2

Do I need to flip my sign?
-3x  ≥ 12

• Yes

• No

Solve. 3(k-5) + 9k ≥ -3

• k ≥ 0

• k ≤ -1

• k≥ 1

• k≥ 2

3x - 5 > -26

• x < -7

• x > -7

• x > 7

• x < 7