371 Equations & Inequalities Review Station

1) 2. A handyman charges a flat rate of $150, plus $25 per hour for house painting. A painter charges $55 per hour for house painting. Which equation could be used to determine, h, the number of hours each would have to work for their fees to be the same?

Remember that both $150 and the $25 per hour charge are both fees that the handyman will make. For him, he will be gaining money, not losing it.

Explanation

Remember that both $150 and the $25 per hour charge are both fees that the handyman will make. For him, he will be gaining money, not losing it.

About This Quiz

This quiz titled '371 Equations & Inequalities Review Station' assesses understanding of equations and inequalities in real-world contexts, such as comparing costs and determining breakeven points. It helps learners apply algebraic concepts to practical scenarios.

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2) 5. Which of the following scenarios can be represented with the inequality 31.2 – 0.12y < 28.62 – 0.08y ?

Remember to label what each expression represents.

Explanation

Remember to label what each expression represents.

3) 6. Scoops Ice Cream Shop sells a large bowl of ice cream for $5.00 plus $1.25 per topping. They also sell a medium bowl of ice cream for $3.50 plus $1.50 per topping. For how many toppings will a medium bowl of ice cream cost more than a large bowl of ice cream?

Remember to label what each expression represents in the inequality you build.

Explanation

Remember to label what each expression represents in the inequality you build.

4) 1. Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi?

Remember that "exceeds" means to be more than. Example, "I exceeded (went over) my expectations and made a 95 on the test!"

Explanation

Remember that "exceeds" means to be more than. Example, "I exceeded (went over) my expectations and made a 95 on the test!"

5) 7. A swimming pool containing 23,000 gallons of water loses water due to evaporation at a rate of 600 gallons per week. A swimming pool containing 15,000 gallons of water loses water due to evaporation at a rate of 200 gallons per week. After how many weeks, w, will the smaller pool have at least as much water as the larger pool?

Remember that "at least" means "more than or equal to." For example, I need to make at least a 70 to pass means I have to make a 70 or higher.

Explanation

Remember that "at least" means "more than or equal to." For example, I need to make at least a 70 to pass means I have to make a 70 or higher.

6) 3. Which of the following scenarios can be modeled with the equation 365 +125x = 175 + 250x ?

Remember that this question contains and equation, not an inequality. If you missed this one, think about the biggest difference between and equation and the inequality.

Explanation

Remember that this question contains and equation, not an inequality. If you missed this one, think about the biggest difference between and equation and the inequality.

7) 8. A home builder wants to hire a painter to paint the inside of a home he is building. Ace painting Services charges a flat rate of $37.50 per hour. Acme Painters charges $25.00 per hour plus $75.00 for supplies. For how many hours, h, will Ace Painting Services charge less than Acme Painters?

Remember to label what each expression represents in the inequality you build.

Explanation

Remember to label what each expression represents in the inequality you build.

8) 4. D. J. plans to earn money for an electric guitar. He has two options: Option 1: His grandmother will pay him $250 to paint her tool shed, and he can work for his dad for $10 per hour. He will save 80% of the money he earns.Option 2: He can work for his uncle for $16 per hour. He will save 75% of the money he earns. Which equation below can be used to find the number of hours, h, that D. J. will need to work in order for the money he saves from each option to be the same?

If you missed this one, think about what 4/5 represents as a decimal and a percent. Also, what does 3/4 represent as a decimal and a percent?

Explanation

If you missed this one, think about what 4/5 represents as a decimal and a percent. Also, what does 3/4 represent as a decimal and a percent?