PSAT/NMSQT Prep 2022 - Eggert M.D., Strelka A. 2022

How much ghave you learned?
Linear equations and graphs
The heart of algebra

Directions: For testlike practice, give yourself 15 minutes to complete this question set. Be sure to study the explanations, even for questions you answered correctly. They can be found at the end of this chapter.

17. Line m is parallel to line k and passes through (5, 5). The slope of line k is and line k passes through the origin. Which of the following is the equation for line m?

A.

B.

C.

D.

18. Which value of x makes the equation true?

A. 7

B.9

C.17

D. 19

19. What is the value of z in the equation above?

A.

B.

C.

D.

20. Sandy works at a tire store. She gets paid $70 for a day’s work, plus a commission of $14 for each tire she sells. Which of the following equations represents the relationship between one day of Sandy’s pay, y, and the number of tires she sells, x ?

A. x = 14y + 70

B.x = 70y + 14

C.y = 14x + 70

D. y = 70x + 14

21. The figure above shows the cost of going to a certain carnival. What does the y-intercept most likely represent?

A. A flat entrance fee

B.The cost of riding 8 rides

C.The cost of attending the carnival 8 times

D. The total cost of attending the carnival and riding 1 ride

22. For a car, depreciation is a reduction in value due to use or age. The value of a new car starts to depreciate as soon as the car is purchased and driven for the first time. If the equation y = −0.15x + 27,000 represents the estimated value of a certain car, taking into account depreciation over time, what does 27,000 most likely represent?

A. The depreciation rate

B.The current value of the car

C.The original purchase price of the car

D. The value of the car after 0.15 years of ownership

23. What is the value of h in the equation above?

A. −5.5

B.5.5

C.There is no value of h for which the equation is true.

D. There are infinitely many values of h for which the equation is true.

24. What value of y satisfies the equation above?

25. A cybercafe is a place that provides Internet access to the public, usually for a fee, along with snacks and drinks. Suppose a cybercafe charges a base rate of $25 to join for a year, an additional $0.30 per visit for the first 50 visits, and $0.10 for every visit after that. How much does the cybercafe charge for a year in which 72 visits are made?

A. $32.20

B.$36.60

C.$42.20

D. $46.60

26. An Internet provider charges k dollars for the first hour of use in a month and m dollars per hour for every additional hour used that month. If Jared paid $65.50 for his Internet use in one month, which of the following expressions represents the number of hours he used the Internet that month?

A.

B.

C.

D.