Middle School Graphing Inequalities

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

• A

• B

• C

• D

Solve for t.

6t + 4 ≤ -2

• t ≤ -1 

• t ≤ 1

• t=1

• 1=t

Solve for k. 

7k – 2 ≥ -9

• k ≤ -1

• k≤1

• k≥1

• k ≥ -1

Pick the correct letter for:
6 > x

• A

• B

• C

• D

-75 + 50x < 125

• x < 4

• x > 4

• x < 10 

• x > 10 

Last Friday Samantha had $22.50. Over the weekend, she received some money for cleaning. She now has more than $32.00. Which inequality represents this situation?

• 22.50 - x > 32

• 22.50x > 32

• 22.50 + x > 32

• 22.50 +x < 32

It costs Amy $0.20 to send a text message.  She has already spent $5 in text messages this month.  If she has a total of $12 that can spend this month on text messages, write and solve an inequality that will give the greatest number of text messages that she can send.

• 0.20x + 5 = 12;
  85 text messages

• 0.20(5x) = 12; 
  12 text messages

• 0.20x + 5 ≤ 12;
  x ≤ 35 

• 0.20x + 5 ≥ 12;
  x ≥ 35

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

Match the inequality to the word problem. Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie 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

-12x + 1 > -47

• x > 4

• x < 4

• x < -4

• x > -4