Algebra Word Problems Inequalities

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?

Write an inequality:
Twenty-two more than four times a number is less than 82.

• 22 + 4n ≤ 82

• 22 + 4n > 82

• 82 + 22n ≥ 4

• 22 + 4n < 82

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

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

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

• 6x + 8 > 42

• 8x + 6 ≤ 42

• 6x + 8 ≥ 42

• 8x + 6 < 42

 Solve and then match the correct solution & graph.

• A

• B

• C

• D

Match the graph with the given solution.

• A

• B

• C

• D

Same cell phone plan: You're paying for a cell phone plan that charges $30 per month if you stay under 500 texts. For each additional text over 500, you pay ten cents ($0.10) per text.

You only have enough money every month to afford $35 for your cell phone.

Which inequality shows how you could calculate the number of texts you can send and still stay on (or below) budget? (let t = number of texts)

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Same cell phone plan: You're paying for a cell phone plan that charges $30 per month if you stay under 500 texts. For each additional text over 500, you pay ten cents ($0.10) per text. You only have enough money every month to afford $35 for your cell phone. How many texts can you send and still stay on (or below) budget?

• 1

• 50

• 550

• 450

Write this mathematical sentence using algebra:

6 is added to a number x. Then the result is multiplied by 9. The final answer is greater than 99.