ACT Mathematics Practice Test 1

Question 1

The monthly fees for single rooms at 5 colleges are $370, $310, $380, $340, and $310, respectively. What is the mean of these monthly fees?

Accepted Answer

$342

Answer

To find the mean of the monthly fees, sum all the given fees and then divide by the number of fees. The fees are $370, $310, $380, $340, and $310. The sum of these fees is 370 + 310 + 380 + 340 + 310 = $1710. There are 5 fees. So, the mean is $1710 / 5 = $342.

Question 2

On a particular road map, 1/2 inch represents 18 miles. 2 About how many miles apart are 2 towns that are 2 1/2  inches apart on this map?

Accepted Answer

90

Answer

The map scale is 1/2 inch representing 18 miles. We need to find the distance in miles for 2 1/2 inches on the map. First, convert 2 1/2 inches to an improper fraction: 5/2 inches. Set up a proportion: (1/2 inch) / (18 miles) = (5/2 inches) / (x miles). Cross-multiply to solve for x: (1/2) * x = 18 * (5/2). This simplifies to x/2 = 9 * 5, or x/2 = 45. Multiplying both sides by 2 gives x = 90 miles. So, the two towns are 90 miles apart.

Question 3

Given f = cd3, f = 450, and d = 10, what is c ?

Accepted Answer

0.45

Answer

The given formula is f = cd^3. We are given f = 450 and d = 10. To find c, substitute the given values into the formula: 450 = c * (10)^3. Calculate 10^3, which is 1000. So, 450 = c * 1000. To solve for c, divide both sides by 1000: c = 450 / 1000 = 0.45.

Question 4

If f (x) = (3x + 7)2, then f (1) = ?

Accepted Answer

100

Answer

To find f(1), substitute x = 1 into the function f(x) = (3x + 7)^2. This gives f(1) = (3 * 1 + 7)^2. First, perform the multiplication inside the parentheses: 3 * 1 = 3. Then, perform the addition: 3 + 7 = 10. Finally, square the result: 10^2 = 100. So, f(1) = 100.

Question 5

Jorge’s current hourly wage for working  at Denti Smiles is $12.00. Jorge was told that at the beginning of next month, his new hourly wage will be an increase of 6% of his current hourly wage. What will be Jorge’s new hourly wage?

Accepted Answer

$12.72

Answer

Jorge's current hourly wage is $12.00. His new wage will be an increase of 6% of his current wage. First, calculate the amount of the increase: 6% of $12.00 is 0.06 * $12.00 = $0.72. Then, add this increase to his current wage to find his new hourly wage: $12.00 + $0.72 = $12.72. Alternatively, you can multiply his current wage by (1 + 0.06) = 1.06: $12.00 * 1.06 = $12.72.

Uncategorized Practice Test

Uncategorized Practice Test

ACT Mathematics Practice Test 1