Inequalities and Systems Review

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

Tags

CCSS.7.EE.B.4B

Your taxi fare is $2.50 per mile, plus a $5 fee.  You cannot exceed $20.  Which inequality models this scenario?

• 5x + 2.50 ≤ 20
• 2.50x + 5 < 20
• 2.50x + 5 ≤ 20
• 7.50x < 20

Tags

CCSS.7.EE.B.4B

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

-138 ≥ -6(6b − 7)

• b ≤ 5
• b ≤ -5
• b ≥ 5
• b ≥ -5

Tags

CCSS.7.EE.B.4B

solve 5( 6 + 3r) + 7 ≥ 127

• r ≤ 6
• r ≥ 6
• r ≤ -6
• r ≥ -6

Tags

CCSS.7.EE.B.4B

Solve:
-8(x - 3) - 4x < 108

• x > -38
• x > -14
• x > -7
• x < -38

-4x + 9 - x < -3

• x > 2.4

• x < 2.4

• x > -2.4

• x < -2.4

Tags

CCSS.7.EE.B.4B

Tags

solution set

Which number is in the solution set for 6 - 2h > 30

• -12

• -11

• -10

• -13

Tags

CCSS.6.EE.B.5

Does the given value make the inequality true? x + 9 > 21, when x = 15

• True

• Not True

Tags

CCSS.6.EE.B.5