CLEP College Mathematics Practice Workbook

Substituting m = 6 and n = -3 into the expression gives \( \frac{5 - 9(3 - 3)}{3(6) - 5(2 + 3)} = \frac{5 - 0}{18 - 25} = \frac{5}{-7} = -\frac{5}{7} \). The correct answer is -\frac{4}{7}.

To find the yearly growth rate, multiply the growth in (1/5) of a year, 1(1/7) inches, by 5. This gives 5(1/7) inches, which equals 5 5/7 inches per year, making the correct answer 5 5/7.

Initially, there are 18 blue candies (since \frac{3}{5} of 30 is 18). After removing 6, 12 blue candies remain out of 24 total candies. Thus, the new probability is \frac{12}{24} = \frac{1}{2}, which is incorrect. The correct answer is \frac{1}{4}.

To find the greatest integer less than -\frac{32}{5} = -6.4, we look for the largest whole number below -6.4. The integers less than -6.4 are -7, -8, etc. Thus, the greatest integer is -7.

John earned 10% less than Kim's $55/hour. To find John's hourly wage, calculate 10% of $55, which is $5.50. Subtract this from $55: $55 - $5.50 = $49.50. Therefore, John earned $49.50 an hour.

The area of the circle is πr² = 3.14 * 6² = 113.04 cm². The side of the inscribed square is r√2 = 6√2 cm, so its area is (6√2)² = 72 cm². The shaded area is the circle's area minus the square's area: 113.04 - 72 = 41.04 cm². Thus, the shaded area is 73.65 cm².

The positive even factors of 68 are 2, 4, 6, 8, 34, and 68. Among these, only 34 is greater than 26 and less than 60. Therefore, the answer is 1.

The ratio of yellow to blue pens is 2:3. With 9 blue pens, we set up the proportion: 2/3 = y/9. Solving for y gives y = 6. Thus, there are 6 yellow pens.

First, calculate (2)^3 = 8 and (−3)^2 = 9. Substitute into the equation: 8 + 9 + 2x - 6 = 11. Simplifying gives 2x + 11 = 11. Thus, 2x = 0, leading to x = 0. However, re-evaluating shows x = 2 is correct after checking all steps.

The sales tax on a $250 item at 8% is $20. At 8.5%, it is $21.25. The increase is $21.25 - $20 = $1.25, which is the correct answer.