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If x = 8, what’s the value of y in the equation y = (x2 ÷ 4) − 2?A. 14B. 16C. 18D. 20
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14 Substitute 8 for x in the equation. y = (x2 ÷ 4) − 2. y = (82 ÷ 4) − 2. y = (64 ÷ 4) − 2.
y = 16 − 2. y = 14. |
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The cube of 5 is:A. 125B. 25C. 15D. 50
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125 The cube of 5 = 5 × 5 × 5 = 125.
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2.5 × 33 = A. 22.5B. 75.0C. 67.5D. 675.0
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67.5 2.5 × 33 = 2.5 (3 × 3 × 3) = 2.5 × 27 = 67.50.
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The fourth root of 16 is:A. 4B. 1C. 3D. 2
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2 24 = 16; the fourth root of 16 is 2.
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What’s the equation of a line that passes through points (0, -1) and (2, 3)?A. y = 2x - 1B. y = 2x + 1C. x = 2y - 1D. x = 2y + 1
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y = 2x - 1 The slope of the line is equal to the change in y values divided by the change in x values. The change in y values is 4 (3 − (−1)). The change in x values is 2 (2 − 0). 4⁄2 = 2. To find the intercept, substitute 0 for x in the equation y = 2x + b. −1 = 2(0) + b. Therefore, b = −1, so the equation is y = 2x − 1.
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x2 × x4A. x6B. x8C. 2x6D. 2x8
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x6 If two exponents have the same base, you can multiply them by keeping the base and adding the exponents together.
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If a rectangle has a perimeter of 36 feet, and it’s 4–feet wide, what’s its area? A. 56 sq. ft. B. 128 sq. ft.C. 112 sq. ft.D. 16 sq. ft.
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56 sq. ft To find area, multiply length times width (A = lw). To determine the length, subtract two times the width from the perimeter: 36 − 2(4) = 36 − 8 = 28. Then divide the remainder by 2 to determine the length of one side: 28 ÷ 2 = 14. Then multiply length times width to determine the area: 14 × 4 = 56.
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The cube root of 64 is: A. 3B. 9C. 2D. 4
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4 The cube of 4 = 4 × 4 × 4 = 64, so 4 is the cube root of 64.
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Convert 314,000 to scientific notation. A. 3.14 × 105B. 3.14 × 10-5C. 314 × 10 D. 31.4 × 100
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3.14 × 105 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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The reciprocal of 1⁄6 is: A. 1B. 3C. 6D. 1/3
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6 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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