Question

1. let (x) be an odd number. in terms of (x), what is the sum of the two even numbers closest to (x)?

(a) (x)
(b) (2x)
(c) (2x - 2)
(d) (2x - 4)

1. (50 =)

(a) (5 \times 10^{-1})
(b) (5 \times 10^2)
(c) (0.5 \times 10^3)
(d) (5 \times 10^1)

1. (\frac{3^{200}}{3^{50}} =)

(a) (4)
(b) (150)
(c) (3^4)
(d) (3^{150})

1. (2,340.25) written in scientific notation is

(a) (2.34025 \times 10^5)
(b) (2,340.25 \times 10^2)
(c) (2.34025 \times 10^3)
(d) (2.34025 \times 10^2)

1. if ((300)(30,000) = 9 \times 10^m), then (m =)

(a) (3)
(b) (4)
(c) (5)
(d) (6)

1. if (n) is a negative integer, then (n^b) must be a positive integer whenever (b) is

(a) an odd integer
(b) an even integer
(c) a positive integer
(d) a negative integer

1. (2^4 \times 5^4 =)

(a) (320)
(b) (2,000)
(c) (10,000)
(d) (20,000)

1. between what two integers does (4.23 \times 10^{-5}) lie?

(a) (1) and (2)
(b) (0) and (1)
(c) (-4) and (-5)
(d) (-5) and (-6)

1. ((6 \times 10^4) + (5 \times 10^2) + (3 \times 10^1) =)

(a) (653)
(b) (6,053)
(c) (356)
(d) (60,530)

1. what is the value of (\frac{(-2)^3 - (-4)^2}{(-1)(-2)(-3)})?

(a) (-4)
(b) (\frac{4}{3})
(c) (4)
(d) (6)

1. if (m) is a positive integer, then which of the following is equivalent to (3^m + 3^m + 3^m)?

(a) (3^{m+1})
(b) (3^{3m})
(c) (3^{3m+1})
(d) (3^{m+3})

Explanation:

Question 10: Sum of the two even numbers closest to an odd number \(x\)

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Question 11: Express 50 in scientific notation

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Question 12: Simplify \(\frac{3^{200}}{3^{50}}\)

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Question 13: Express 2,340.25 in scientific notation

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Question 14: Solve for \(m\) in \((300)(30,000) = 9 \times 10^m\)

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Question 15: Condition for \(n^b\) to be positive when \(n\) is a negative integer

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Question 16: Evaluate \(2^4 \times 5^4\)

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Question 17: Range for \(4.23 \times 10^{-5}\)

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Question 18: Evaluate \((6 \times 10^4) + (5 \times 10^2) + (3 \times 10^1)\)

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Question 19: Evaluate \(\frac{(-2)^3 - (-4)^2}{(-1)(-2)(-3)}\)

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Question 20: Simplify \(3^m + 3^m + 3^m\)

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Answer:

Question 10

• (A) \(x\)
• (B) \(2x\) (Correct answer)
• (C) \(2x - 2\)
• (D) \(2x - 4\)

Question 11

• (A) \(5 \times 10^{-1}\)
• (B) \(5 \times 10^2\)
• (C) \(0.5 \times 10^3\)
• (D) \(5 \times 10^1\) (Correct answer)

Question 12

• (A) 4
• (B) 150
• (C) \(3^4\)
• (D) \(3^{150}\) (Correct answer)

Question 13

• (A) \(2.34025 \times 10^5\)
• (B) \(2,340.25 \times 10^2\)
• (C) \(2.34025 \times 10^3\) (Correct answer)
• (D) \(2.34025 \times 10^2\)

Question 14

• (A) 3
• (B) 4
• (C) 5
• (D) 6 (Correct answer)

Question 15

• (A) An odd integer
• (B) An even integer (Correct answer)
• (C) A positive integer
• (D) A negative integer

Question 16

• (A) 320
• (B) 2,000
• (C) 10,000 (Correct answer)
• (D) 20,000

Question 17

• (A) 1 and 2
• (B) 0 and 1 (Correct answer)
• (C) \(-4\) and \(-5\)
• (D) \(-5\) and \(-6\)

Question 18

• (A) 653
• (B) 6,053
• (C) 356
• (D) 60,530 (Correct answer)

Question 19

• (A) \(-4\)
• (B) \(\frac{4}{3}\)
• (C) 4 (Correct answer)
• (D) 6

Question 20

• (A) \(3^{m+1}\) (Correct answer)
• (B) \(3^{3m}\)
• (C) \(3^{3m+1}\)
• (D) \(3^{m+3}\)