Algebra 1 Challenge: Interpret & Verify Word Problems

A store sells pencils for $0.50 each. If you buy x pencils and spend $10, how many pencils did you buy? Interpret your solution in the context of the problem.

• 25

• 15

• 20

• 30

Maria has 3 times as many marbles as John. If John has x marbles and together they have 48 marbles, how many marbles does each have? Check your solution for accuracy.

• John has 12 marbles and Maria has 36 marbles.

• John has 20 marbles and Maria has 28 marbles.

• John has 10 marbles and Maria has 38 marbles.

• John has 15 marbles and Maria has 33 marbles.

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If you paid a total of $50, how many miles did you drive? Interpret your solution in the context of the problem.

• 150 miles

• 200 miles

• 250 miles

• 100 miles

A recipe requires 2 cups of flour for every 3 cups of sugar. If you have x cups of sugar and want to maintain the same ratio, how many cups of flour do you need? Check your solution for accuracy.

• (4/3) * x

• (1/2) * x

• (3/2) * x

• (2/3) * x

Tom is 4 years older than his sister. If his sister is x years old and the sum of their ages is 28, how old is Tom? Interpret your solution in the context of the problem.

• 18

• 14

• 20

• 16

A swimming pool can be filled in 6 hours by one hose and in 4 hours by another hose. If both hoses are used together, how long will it take to fill the pool? Check your solution for accuracy.

• 1 hour and 30 minutes

• 4 hours and 15 minutes

• 3 hours

• 2 hours and 24 minutes

A book costs $15, and there is a sale where you can buy 3 books for the price of 2. If you want to buy x books, how much will you spend? Interpret your solution in the context of the problem.

• (x // 2) * 30 + (x % 2) * 15

• x * 15

• (x // 3) * 15 + (x % 3) * 30

• (x // 3) * 30 + (x % 3) * 15

A farmer has chickens and cows. If there are x chickens and 2 times as many cows, and the total number of animals is 30, how many of each animal does the farmer have? Check your solution for accuracy.

• 12 chickens and 18 cows

• 5 chickens and 25 cows

• 10 chickens and 20 cows

• 15 chickens and 15 cows

A concert ticket costs $50, and there is a 10% discount for students. If a student buys x tickets, how much do they pay in total? Interpret your solution in the context of the problem.

• $45 * x

• $50 * x

• $40 * x

• $55 * x

A rectangular garden has a length that is 3 meters longer than its width. If the perimeter of the garden is 30 meters, what are the dimensions of the garden? Check your solution for accuracy.

• Width: 7 meters, Length: 10 meters

• Width: 6 meters, Length: 9 meters

• Width: 5 meters, Length: 8 meters

• Width: 4 meters, Length: 7 meters