SBAC Grade 8 Math 2 — Questions and Answers
Question 1: What is the value of 3^4 × 3^2?
- 3^6 (Correct answer)
- 3^8
- 9^6
- 3^2
Correct answer: 3^6
When multiplying powers with the same base, add the exponents: 4 + 2 = 6.
Question 2: Express 0.00056 in scientific notation.
- 5.6 × 10^-4 (Correct answer)
- 5.6 × 10^4
- 56 × 10^-5
- 5.6 × 10^-3
Correct answer: 5.6 × 10^-4
Move the decimal 4 places right to get 5.6, giving an exponent of -4.
Question 3: Which number is irrational?
- √17 (Correct answer)
- √16
- 0.25
- 3/7
Correct answer: √17
√17 is not a perfect square, so its decimal never terminates or repeats.
Question 4: What is (2^3)^2?
- 64 (Correct answer)
- 32
- 128
- 12
Correct answer: 64
Multiply the exponents: 3 × 2 = 6, and 2^6 = 64.
Question 5: Between which two whole numbers does √50 lie?
- 7 and 8 (Correct answer)
- 6 and 7
- 8 and 9
- 5 and 6
Correct answer: 7 and 8
Since 7^2 = 49 and 8^2 = 64, √50 is between 7 and 8.
Question 6: What is the value of 5^-2?
- 1/25 (Correct answer)
- -25
- -10
- 25
Correct answer: 1/25
A negative exponent means the reciprocal: 5^-2 = 1/5^2 = 1/25.
Question 7: How many times larger is 6 × 10^8 than 3 × 10^5?
- 2,000 (Correct answer)
- 200
- 20,000
- 2
Correct answer: 2,000
Divide: (6/3) × 10^(8-5) = 2 × 10^3 = 2,000.
SBAC Grade 8 Math 2
What is the value of 3^4 × 3^2?