Chapter 14

The diameter of a circle equals the diagonal of a square whose side length is 4 $$\begin{array}{cc}\text{ Quantity }\mathbf{A}& \text{ Quantity }\mathbf{B}\\ \text{The circumference of the circle }& \sqrt{101}\end{array}$$ A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.

$$\begin{array}{c} x

$$\begin{array}{cc}\text{ Quantity }\mathbf{A}& \text{ Quantity }\mathbf{B}\\ \text{The number of distinct positive integer factors of 96 }& \text{The number of distinct positive integer factors of 72}\end{array}$$ A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.

$$\begin{array}{cc}\text{ Quantity }\mathbf{A}& \text{ Quantity }\mathbf{B}\\ \text{The number of seconds in 7 hours}& \text{The number ofhours in 52 weeks}\end{array}$$ A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.

$$x>2$$ $$\begin{array}{cc}\text{ Quantity }\mathbf{A}& \text{ Quantity }\mathbf{B}\\ x^3& 4x\end{array}$$ A. Quantity A is greater. B. Quantity B is greater. C. the two quantities are equal. D. The relationship cannot be determined from the information given.

If the average test score of four students is $85,$ which of the following scores could a fifth student receive such that the average of all five scores is greater than 84 and less than $86?$ Indicate all such scores. a. 88 b. 86 c. 85 d. 83 e. 80

Meg is twice as old as Rolf, but three years ago, she was two years older than Rolf is now. How old is Rolf now?

The cost, in cents, of manufacturing $x$ crayons is $570+0.5x$. The crayons sell for 10 cents each. What is the minimum number of crayons that need to be sold so that the revenue received recoups the manufacturing cost? a. 50 b. 57 c. 60 d. 61 e. 95

If $xy\ne 0,\frac{1-x}{xy}=$ a. $$\frac{1}{xy}-\frac{1}{y}$$ b. $$\frac{x}{y}-\frac{1}{x}$$ c. $$\frac{1}{xy}-1$$ d. $$\frac{1}{xy}-\frac{x^2}{y}$$ e. $$\frac{1}{x}-\frac{1}{y}$$