ACT Math Prep Test Week 1

The weekly fee for staying at the Pleasant Lake Grounds 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

Discount tickets to a basketball tournament sell for

$4.00 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?

• $2.50

• $6.40

• $6.50

• $7.50

• $11.00

If  $3^x\ =\ 54$  , then which of the following must be true?

• 1 < x < 2

• 2 < x < 3

• 3 < x < 4

• 4 < x < 5

• 5 < x

What is the least common multiple of 70, 60, and 50 ?

• 60

• 180

• 210

• 2,100

• 210,000

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

A function f(x) is defined as   $f\left(x\right)=-8x^2$  . What is f(-3)?

• -72

• 72

• 192

• -576

• 576

If 9(x − 9) = −11, then x = ?

• -92/9

• -20/9

• -11/9

• -2/9

• 70/9

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 and 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

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