Translating Words to Linear Equations

Practice Questions

SAT Math › Translating Words to Linear Equations

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1

At her part-time job, Alexis earns dollars per hour and works hours per week. Which of the following expresses the condition that her total earnings for a week are at least dollars?

2

Jason is 10 years older than Alexa. Using to represent Jason's age and to represent Alexa's age, which of the following demonstrates the correct relationship between Jason's and Alexa's ages?

3

Riley and four friends went to dinner and agreed to split the bill evenly. If the bill came to dollars and the group left a 20% tip, which of the following represents the amount that each person paid?

4

At a medical practice, Dr. Ajit sees patients per day and works 4 days per week, and Dr. Benton sees patients per day and works 5 days per week. Which of the following expresses the number of patients that the two doctors, combined, see each week?

5

Julia's window is 24 feet above the street. From her window, she releases a helium balloon that rises at a constant rate of 6 feet per second. Which of the following represents the height, , that the balloon will have risen after seconds?

6

Olivia bought a telescope that was marked at a 25% discount off of the retail price. If the retail price before the discount was dollars and Olivia had to pay a 9% sales tax on the price that she paid, which of the following represents the amount of sales tax that Olivia paid?

7

George uses a coupon to get a 20% discount on a pizza, which normally costs dollars. He then gives the delivery driver a 15% tip on the price that he paid for the pizza. Which of the following represents George's total cost for the pizza, inclusive of tip?

8

The length of a rectangular picture frame is 4 inches longer than the width of the frame. If the length is represented as , which of the following expresses the perimeter of the picture frame, in inches?

9

During a recycling drive, Meghan and Phil combined to collect 900 recyclable bottles, and Meghan collected 200 more cans than Phil did. If the number of cans that Meghan collected is represented by and the number that Phil collected is represented by , which of the following is a system of equations that could be used to solve for their individual totals?

10

A movie theater snack bar charges $4 for each box of popcorn and $2.50 for each soda. On a particular day the snack bar sold a total of 31 items and earned a total of $100. Which of the following systems of equations could be used to solve for the number of boxes of popcorn, , and number of sodas, , the snack bar sold that day?

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