Framing/writing linear inequalities in one variable

Jonah's Frisbee team had a goal to donate at least 180 items to a charity.All the items combined from Monday & Wednesday are 95 items. What inequality can help solve how many items they have to donate on Friday?

• 95+x≥180

• 56≥56x

• 59>2/x

• 67<45-x

Chris is on vacation at a lake house for the weekend and decided to rent a canoe for the day. They charge him $10 service fee and $38 per hour. He cannot spend more than $200 for the total canoe rental. Create an inequality for this problem.

• 10 + 38x < or = 200

• 10x + 38 < or = 200

• 200 + 38 < or = 10x

A number times 45 decreased by 12 is no more than 117

Enter an inequality that represents the phrase the sum of 1 and y is greater than or equal to 6.

• 1 + y ≥ 6
• 1 + y ≤ 6
• 6 + 1 ≥ y
• 6 + 1 ≤ y

The admission fee to an arcade is $1.25 per person and it costs $.50 for each game played. Joey has $10 from his allowance to spend. Which inequality represents Joey getting the most out his $10 allowance.

• 1.25+.50g ≤ 10
• 1.25-.50g ≤ 10
• 1.25+.50g ≥ 10
• 1.25- .50g ≥ 10

Justin earned 12 per hour waiting tables then he spent $35 on gas. He now has less than $25 left.

• 12h + 35 < 25

• 12h - 35 < 25

• 12h - 35 ≤ 25

• 12h + 35 ≤ 25

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator? (Hint 5x)

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

Mark has a lemonade stand and saves $5 of his daily pay to buy a new bike that costs $90. He has already saved $15. Which inequality represents the number of hours, x, that Mark must work to buy the bike?

A number take away 7 is greater than 8

• x - 7 < 8

• x - 7 > 8

• x - 7 < 8

• x - 7 > 8

Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. Select the inequality below that matches the problem.