ACT Math 3 โ Questions and Answers
Question 1: Simplify the expression: (x^3)(x^4).
- x^7 (Correct answer)
- x^12
- x^1
- 2x^7
Correct answer: x^7
When multiplying powers with the same base, add the exponents: 3 + 4 = 7.
Question 2: What is the area of a circle with radius 4 (use ฯ)?
- 16ฯ (Correct answer)
- 8ฯ
- 4ฯ
- 64ฯ
Correct answer: 16ฯ
Area = ฯr^2 = ฯ(4)^2 = 16ฯ.
Question 3: If 2/5 of a number is 18, what is the number?
- 45 (Correct answer)
- 36
- 7.2
- 90
Correct answer: 45
Number = 18 รท (2/5) = 18 ร (5/2) = 45.
Question 4: Solve for y: 4y + 8 = 24.
- 4 (Correct answer)
- 8
- 6
- 16
Correct answer: 4
Subtract 8 to get 4y = 16, then divide by 4 to get y = 4.
Question 5: What is the median of the data set 3, 7, 9, 12, 15?
- 9 (Correct answer)
- 12
- 7
- 46
Correct answer: 9
With five ordered values, the middle value is the third one, 9.
Question 6: A shirt costs $40 and is discounted 25%. What is the sale price?
- $30 (Correct answer)
- $35
- $15
- $10
Correct answer: $30
25% of $40 is $10, so $40 - $10 = $30.
Question 7: What is the value of 5! (5 factorial)?
- 120 (Correct answer)
- 25
- 60
- 20
Correct answer: 120
5! = 5 ร 4 ร 3 ร 2 ร 1 = 120.
ACT Math 3
Simplify the expression: (x^3)(x^4).