If (5 + 1)(6 ÷ 3)(8 – 5) = (3 + 3)x, then x = ________________.
Answer(s): D
Solve the first half of the equation. (6) (2) (3) = 36. Therefore, 36 = (3 + 3)x, which turns into 36 = 6x. Isolate x. 36 ÷ 6 = 6x ÷ 66 = xTo check your answer, substitute 6 for x.
√49 × √64 = ________________.
Answer(s): A
The square root of 49 is 7; the square root of 64 is 8. 7 × 8 = 56.
Which of the following fractions is the largest?
Find a common denominator for the fractions. In this case, 80 work for all the fractions. Convert all the fractions: 2⁄5 = 32⁄80; 3⁄8 = 30⁄80; 7⁄10 = 56⁄80; and 13⁄16 = 65⁄80.Comparing the fractions, you can see that 13⁄16 (65⁄80) is the largest fraction.
If 2 + x ≥ 4, what is the value of x?
Answer(s): B
Solve as you would solve for any unknown. 2 + x ≥ 4 = 2 + x – 2 ≥ 4 – 2. Or, x ≥ 2. To check your answer, substitute 2 for x.2 + 2 ≥ 4. True, so the answer is correct.
If a circle has a radius of 12 feet, what’s its circumference most nearly?
Answer(s): C
Circumference equals π × diameter, and diameter is equal to two times the radius. OrC = π × d, and d = 2r. C = π × 24.If you round π to 3.14, the answer is about 75.36 or about 75 feet.
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