ACT Math Mini-test 1

If 7(x-7) = -15, then x=?

The daily fee for admission to the Florida Fun 'n Sun Amusement Park is $45 per adult and $25 per child. Daily admission fees are paid for a adults and c children. which of the following expressions gives the total amount, in dollars, collected for daily fees?

• 45a+25c

• 45c+25a

Answer explanation

Every time the number of aduls goes up by 1, the dollar amount goes up by 45. 45 should be multiplied by a.

Similarly, every time the number of children goes up by 1, the dollar amount increases by 25. 25 should be multiplied by c.

The sum of these two expressions gives the total daily admissions: 45a+25c.

Natalie makes $9.50 per hour for up to 40 hours a week working ata local bookstore. She is paid an overtime wage of 1.5 times her regular pay for every hour she works over 40 hours. If Natalie works 43 hours in a week, how much will she make that week?

• $380.00

• $394.25

• $408.50

• $422.00

• $422.75

Dicounted tickets to the cinema cost $6.00 each. James spent $72.00 on discounted tickets, $54.00 less than he would have spent if he had bought the tickets without the discount. What is the price of a ticket without a discount?

• $6.00

• $6.50

• $10.50

• $12.00

• $16.50

Which of the following mathematical expressions is equivalent to the verbal expression "A number, y, cubed is 42 more than the product of 13 and y"?

A rectangle has a perimeter of 24 meters and an area of 35 square meters. What is the length, in meters, of the longest side?

• 1

• 3

• 5

• 7

• 8

• -22

• 0

• 22

• 44

• 88

Jason's class projects are graded on a scale of 250 points. Jason has received scores of 245,215,220, and 224 for his first four projects. Jason worked out his average score on prjects thus far. In order to maintain the average grade on projects, what grade must Jason receive on his 5th and final class project?

• 200

• 215

• 224

• 226

• 245

A pool consisting of a square and two semicircles has dimensions shown. What is the outside perimeter, in meters, of the pool