PSAT Math Multiple-Choice Practice Test 28: The Heart of Algebra: Linear Equations and Graphs

1.

Which value of x satisfies the equation above?

2. Jenna is renting a car while on a business trip. The cost is $54.95 per day, which is taxed at a rate of 6 percent. The car rental company charges an additional one-time, untaxed environmental impact fee of $10. Which of the following equations represents Jenna's total cost, in dollars, for renting the car for d days?

3. What was the initial amount of water in a barrel, in liters, if x liters remain after y liters were spilled and 6 liters were added?

4.

Price of One CanProjected Number of Cans Sold
$0.7510,000
$0.809,000
$0.858,000
$0.907,000
$0.956,000
$1.005,000

Which of the following equations best describes the relationship shown in the table, where n indicates the number of cans sold and p represents the price in dollars of one can?

5.

A freight company charges a flat insurance fee to deliver a package anywhere in the continental United States, plus an additional charge for each pound the package weighs. The graph shows the relationship between the weight of the package and the total cost to ship it. Based on the graph, how much would it cost to ship a 25-pound box?

6.

Which approximate value of x satisfies the equation shown?

7. In the equation shown, what is the value of n ?

8. If 36 + 3(4x - 9) = c(2x + 1) + 25 has no solution and c is a constant, what is the value of c ?

9. In the equation , which of the following is a possible value of x - 4?

10. An automotive insurer computes the charge for an insurance policy by starting with a fixed fee for administrative expenses and then adding a percentage of the value of the car, v. If the total price for an automobile policy is given by the function T = 0.02v + 25, then the value 0.02 best represents which of the following?

11. Ibrahim has a contract for a cell phone plan that includes the following rates: the plan has a fixed cost of $50 per month, a data plan that provides 2 gigabytes (GB) of data for free and $8 for each GB of data after that, and a text message plan that costs $0.10 per text message sent. Which of the following equations represents the amount of money, in dollars, that Ibrahim will spend as long as he uses at least 2 GB of data? (Assume d = dollars, g = number of GB of data used, and t = number of text messages sent.)

12. An online video game service has two different packages available. The first is an Unlimited Rental Package that costs $250 for 3 months and allows customers to rent as many games as they want. The second is the Standard Rental Package that initially has a flat fee of $130 but costs $4 per rental in the 3-month period. How many rentals on the Standard Rental Package would it take for both packages to equal the same price over 3 months?

13. A produce stand normally sells watermelons for $0.60 per pound. On Mondays, it sells watermelons at a 20 percent discount. The stand also sells sweet potatoes for $0.79 each. Which of the following represents the total cost, c, if a customer buys 4 sweet potatoes and a watermelon weighing p pounds on a Monday?

14. Juan is on his school's archery team. In a match, he gets 12 arrows to shoot at a target. He gets 8 points if the arrow hits the inner circle of the target and 4 points if it hits the outer circle. Which of the following equations represents Juan's total score if a of his arrows hit the inner circle and the rest hit the outer circle?

All content of site and practice tests © 2022 Jack.
Quick View

PSAT Practice Tests

More Information