(12 yards + 14 feet) ÷ 5 = ____________ .
Answer(s): C
Convert 12 yards and 14 feet to feet: (12 yards × 3 feet per yard) + 14 feet = 36 feet + 14 feet = 50 feet. Divide by 5 as instructed: 50 feet ÷ 5 = 10 feet.
x3 × x4 = _________.
Answer(s): D
If two powers have the same base, they can be multiplied by keeping the base and adding the powers together.
(x + 4)(x + 2) = ______________ .
Multiply the first variable in the first set of parentheses with the first variable in the second set of parentheses (x× x = x2).Next, multiply the first variable in the first set of parentheses with the second number in the second set of parentheses (x × 2 = 2x). So far, the results are x2 + 2x.Now, multiply the second number in the first set of parentheses to the first variable in the second set of parentheses (4 × x = 4x).Next, multiply the second variable in the first set of parentheses to the second number in the second set of parentheses (4 × 2 = 8).The solution is x2+ 2x + 4x + 8.Combining the like terms results in x2+ 6x + 8.
1.5 × 103= ______________.
1.5 × 103= 1.5 × (10 × 10 × 10) = 1.5 × 1,000 = 1,500.
Which of the following is a prime number?
Answer(s): B
A prime number is a number that can be divided evenly by itself or by one, but not by any other number. Choices 27, 8 and 4 can all be divided evenly by other numbers.
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