Solving inequalities using addition or subtraction

Solve the following inequality:
p - 4 < 2

• p < - 2
• p < 6
• p > 6
• p < 8

Tags

CCSS.7.EE.B.4B

Solve the following inequality:
s + 1 ≥ -5

• s ≥ -6
• s ≥ - 4
• s < -6
• s ≤ -4

Tags

CCSS.7.EE.B.4B

Solve the following inequality:
k - 14 ≤ - 10

• k ≤ 24
• k ≥ 4
• k ≤ 4
• k ≤ -24

Tags

CCSS.7.EE.B.4B

Solve the following inequality:
n + ³/₂ > 2

• n > ⁷/₂
• n > -¹/₂
• n > 1
• n > ¹/₂

Tags

CCSS.7.EE.B.4B

Solve the following inequality:
z - ²/₃ ≥ ¹/₃

• z ≥ -1
• z ≥ 1 
• z ≤ ¾
• z ≥ ¹/₃

Tags

CCSS.6.EE.B.8

Solve the following inequality:
d - 2.4 ≤ -5.1

• d ≤ -2.7
• d ≤ - 9.5
• d > -3.5
• d ≥ -3.7

Tags

CCSS.7.EE.B.4B

Solve the following inequality:
-4.5 + q > 2.5 

• q > -7
• q > 2
• q > 7
• q > -6.2

Tags

CCSS.7.EE.B.4B

To stay within the budge, the area of the house and garage combined is at most 3000 square feet. The area of the garage is 528 square feet. Write and solve an inequality that represents the area of the house.

• a ≤ 2,472 square feet
• a < 2,472 square feet
• a ≥ 1,587 square feet
• a < 3,467 square feet

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

You have $137.26 in a bank account. The bank requires you to have at least $50 in your account or else you are charged a fee. Write and solve an inequality that shows the amount you can write your next check for without being charged.

• x < $87.26
• x ≥ $76.51
• x ≤ $87.26
• x ≤ $187.26

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

The hole for a fence post is 2 feet deep. The top of the fence post needs to be at least 4 feet above the ground. Write and solve an inequality that represents the required length of the fence post.

• x ≥ 6 feet
• x ≥ 4 feet
• x ≤ 6 feet
• x < 8 feet

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3