FREEE ACT Question and Answers

Question 1

If z + y = 8 and 4z - y = 22, calculate the value of 2z - y.

Accepted Answer

6

Answer

Now, let's calculate the value of 2z - y:

2z - y = 2 * (14/3) - 10/3
2z - y = 28/3 - 10/3
2z - y = 18/3
2z - y = 6

Question 2

The father and his boys _______ present yesterday.

Accepted Answer

Were

Answer

The complete sentence is: "The man and his sons were here yesterday."

Question 3

Solve and simplify (3/4 - 2/3) m6/5.

Accepted Answer

1/10

Answer

Step 1: Find a common denominator for (4, 3, and 5), which is 60.

Step 2: Convert the fractions to have a denominator of 60:

(3/4) * (15/15) = 45/60
(2/3) * (20/20) = 40/60

Step 3: Subtract the fractions:

(45/60 - 40/60) = 5/60

Step 4: Simplify the result:

5/60 can be reduced to 1/12 by dividing both the numerator and denominator by 5.

So, the correct simplified expression is (3/4 - 2/3) * (6/5) = 1/10.

Question 4

Find the total number of persons in a Catholic church that has 175 members. Of those, 12% are regular attendees, with 56 of them attending twice per month.

Accepted Answer

98

Answer

Total number of people in the Catholic church = 175

Percentage of regular attendees = 12%

Number of people who come twice a month = 56

Now, let's find the number of regular attendees:

Number of regular attendees = Total number of people * Percentage of regular attendees
Number of regular attendees = 175 * 0.12
Number of regular attendees = 21

Now, let's find the number of remaining people (those who are not regular attendees):

Number of remaining people = Total number of people - Number of regular attendees - Number of people who come twice a month
Number of remaining people = 175 - 21 - 56
Number of remaining people = 98

So, the number of remaining people (those who are not regular attendees) is 98.

Question 5

The standard form of 70600 is...

Accepted Answer

7.06×10^4

Answer

The number 70,600 in standard form is written as 7.06 × 10^4. In standard form, a number is expressed as a product of a decimal number between 1 and 10 (7.06 in this case) and a power of 10 (10^4 in this case). This representation simplifies large or small numbers and makes them easier to read and work with.

ACT Practice Test

ACT Practice Test

FREEE ACT Question and Answers