SHSAT Math Practice 2 — Questions and Answers
Question 1: If 3(x - 4) = 2x + 5, what is the value of x?
- 17 (Correct answer)
- 1
- 9
- -17
Correct answer: 17
Expanding gives 3x - 12 = 2x + 5, so x = 17.
Question 2: A jacket originally priced at $80 is discounted by 25%. What is the sale price?
- $55
- $60 (Correct answer)
- $65
- $75
Correct answer: $60
25% of $80 is $20, so the sale price is $80 - $20 = $60.
Question 3: What is the value of 2^5 + 3^2?
- 41 (Correct answer)
- 31
- 37
- 25
Correct answer: 41
2^5 = 32 and 3^2 = 9, so the sum is 41.
Question 4: The average of five numbers is 14. What is their sum?
- 56
- 70 (Correct answer)
- 65
- 75
Correct answer: 70
Sum equals average times count, so 14 × 5 = 70.
Question 5: A rectangle has length 12 and width 7. What is its perimeter?
- 38 (Correct answer)
- 84
- 19
- 42
Correct answer: 38
Perimeter = 2(12 + 7) = 2(19) = 38.
Question 6: If a number is increased by 40% and the result is 84, what was the original number?
- 50
- 60 (Correct answer)
- 44
- 120
Correct answer: 60
1.4 × original = 84, so original = 84 / 1.4 = 60.
Question 7: What is the greatest common factor of 36 and 48?
- 6
- 9
- 12 (Correct answer)
- 18
Correct answer: 12
Both 36 and 48 are divisible by 12, the largest common factor.
SHSAT Math Practice 2
If 3(x - 4) = 2x + 5, what is the value of x?