ACT Mathematics Test

The weekly fee for staying at the Pleasant Lake Campground is $20 per vehicle and $10 per person. Last year, weekly fees were paid for v vehicles and p persons. Which of the following expressions gives the total amount, in dollars, collected for weekly fees last year?

• 20v + 10p

• 20p + 10v

• 10(v + p)

• 30(v + p)

• 10(v + p) + 20p

If r = 9, b = 5, and g = -6, what does (r + b - g)(b + g) equal?

• -20

• -8

• 8

• 19

• 20

A copy machine makes 60 copies per minute. A second copy machine makes 80 copies per minute. The second machine starts making copies 2 minutes after the first machine starts. Both machines stop making copies 8 minutes after the first machine started. Together, the 2 machines made how many copies?

• 480

• 600

• 680

• 720

• 960

Marlon is bowling in a tournament and has the highest average after 5 games, with scores of 210, 225, 254, 231, and 280. In order to maintain this exact average, what must be Marlon’s score for his 6th game?

• 200

• 210

• 231

• 240

• 245

Joelle earns her regular pay of $7.50 per hour for up to 40 hours of work in a week. For each hour over 40 hours of work in a week, Joelle is paid 1 1/2 times her regular pay. How much does Joelle earn for a week in which she works 42 hours?

• $126.00

• $315.00

• $322.50

• $378.00

• $472.50

Which of the following mathematical expressions is equivalent to the verbal expression “A number, x, squared is 39 more than the product of 10 and x”?

• 2x = 39 + 10x

• 2x = 39x + 10x

If 9(x - 9) = -11, then x = ?

• -92/9

• -20/9

• -11/9

• -2/9

• 70/9

Discount tickets to a basketball tournament sell for $4 each. Enrico spent $60.00 on discount tickets, $37.50 less than if he had bought the tickets at the regular price. What was the regular ticket price?

• $6.50

• $2.50

• $7.50

• $6.40

• $4.00

The expression (3x − 4y)²(3x + 4y)² is equivalent to:

• 9x² − 16y⁴

• 9x² − 8y⁴

• 9x² + 16y⁴

• 6x² − 16y⁴

• 6x² − 8y⁴

A rectangle has an area of 32 square feet and a perimeter of 24 feet. What is the shortest of the side lengths, in feet, of the rectangle?

• 1

• 2

• 3

• 4

• 8