PSAT 8/9 Math Multiple-Choice Practice Test 5

1. A secondhand sports store sells two types of softball equipment: gloves for $20 each and bats for $50 each. On a particular day, the store sold 52 pieces of softball equipment for a total of $1,700. Which system of equations represents the relationship between the number of gloves, g, and the number of bats, b, sold on this day?

A.

B.

C.

D.

2. What is the value of a in the equation ?

3.

Some values of x and their corresponding f(x) values are shown in the table above. Which of the following functions could represent the relationship between x and f(x)?

4.

Which of the following equations is graphed on the xy-plane above?

A. y = x – 5

B. y = –x + 5

C. y = x – 5

D. y = –x + 5

5. –9(3t – 3v) + (9t – 13v)

Which of the following expressions is equivalent to the expression above?

6. Which of the following is equivalent to the expression 3c² – 10c + 8?

7. If (8m – 3) – (–2m + 6) = 0, what is the value of m?

8. The formula for determining the angular speed, ω, of an object at an angular acceleration, α, is ω = ω₀ + αt, where ω₀ is the initial angular speed and t is the time. Which formula represents α in terms of ω, ω₀, and t?

A.

D.

9. A company makes two different sizes of cylindrical paperweights with identical volumes. If the radius of Paperweight X is one-third the radius of Paperweight Y, then the height of Paperweight X is how many times the height of Paperweight Y?

C.

D.

10. Cost of Electricity

Mark’s electric bill breakdown is shown in the table above. In addition to his electric bill, Mark’s only other apartment expense is $950 a month for rent. The expression C = (0.06 + 0.03)h + 950 shows the cost C, in dollars, of living in the apartment for a month as a function of h, the number of kilowatt hours of electricity used in a month. What does the y-intercept of the graph of this equation represent?