QUESTION: 29

Convert 314,000 to scientific notation.

3.14 × 105
3.14 × 10-5
314 × 10
31.4 × 100

Answer(s): A

Explanation:

To convert this number to scientific notation, move the decimal point to the left until it’s to the immediate right of the first number, while counting the number of moves. In this case, you move it 5 places.
The result is then multiplied by 10, raised to the power of the number of places the decimal point was moved.

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QUESTION: 30

The reciprocal of 1⁄6 is ____________.

1
3
6
1⁄3

Answer(s): C

Explanation:

A reciprocal is the number by which a number can be multiplied to produce 1. So the reciprocal of 1⁄6 is 6 because 1⁄6 × 6 = 1.

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QUESTION: 31

If 0.05 ÷ x = 1, then x = _____________.

0.05
0.5
50.0
5.0

Answer(s): A

Explanation:

Multiply both sides of the equation by 0.05 to isolate x: 0.05 ÷ x × 0.05 = 1 × 0.05 or x = 0.05. Check by substituting 0.05 for x in the original equation.

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QUESTION: 32

Factor x2 – 6x + 9.

(x+ 6) (x + 6)
(x – 6) (x + 6)
(x – 3)2
(x + 3)2

Answer(s): C

Explanation:

x2 – 6x + 9 = (x – 3)(x –3) = (x – 3)2

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QUESTION: 29

Explanation:

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Explanation:

QUESTION: 31

Explanation:

QUESTION: 32

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