Solving and Graphing Two-Step Inequalities Word Problem

Which number line shows the solution to:
11x + 14 < –8? 

• a

• b

• c

• d

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

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

• x < -20

• x > -20

• x > 20

• x < 20

x ≤ 12 x ≥ 12 x ≥ 14 x ≥ 23

• x ≤ 12

• x ≥ 12

• x ≥ 14

• x ≥ 23

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

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?

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥ 

• A

• B

• C

• D

• A

• B

• C

• D