Solving Inequalities by Adding or Subtracting

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

• z ≥ -1

• z ≥ 1 

• z ≤ ¾

• z ≥ ¹/₃

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

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

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

• x < -20

• x > -20

• x > 20

• x < 20

• M > 3

• M < 3

• M = 3

• M > 5/3

Write an expression. 
Anita needs at least an 90 grade (g) on her test to get an A in math class.

• g ≤ 90

• g ≥ 90

• g < 90

• g > 90

126 < f + 32

• f > 94

• f < 96

• f < 94

• f < 55

Match the graph with its inequality.

• 11 < a

• 11 > a

•  11 ≤ a

•  11 ≥ a

Match the inequality to the word problem: Bella wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Bella makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

• 25 - 12x ≥ 200

• 25 + 12x ≥ 200

• 13x ≥ 200

• 25 + 12x > 200