1

If x + y = 2 and $$x^{2} + y^{2} = 2$$, what is the value of xy ?

2

Points A, B, C, and D, in that order, lie on a line. If AB = 3 cm, AC = 4 cm, and BD = 6 cm, what is CD, in centimeters?

3

What is the value of $$x^{2}yz  xyz^{2}$$, if x = 2, y = 1, and z = 3?

4

If x > y and y > z, which of the following represents the greatest number?

5

To order certain plants from a catalog, it costs $3.00 per plant, plus a 5 percent sales tax, plus $6.95 for shipping and handling regardless of the number of plants ordered. If Company C ordered these plants from the catalog at the total cost of $69.95, how many plants did Company C order?

6

Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $10.00 each, what was Company C’s gross profit?

7

A group of store managers must assemble 280 displays for an upcoming sale. If they assemble 25 percent of the displays during the first hour and 40 percent of the remaining displays during the second hour, how many of the displays will not have been assembled by the end of the second hour?

8

Of the following, which is least?

9

The maximum recommended pulse rate R, when exercising, for a person who is x years of age is given by the equation R = 176 ‒ 0.8x. What is the age, in years, of a person whose maximum recommended pulse rate when exercising is 140 ?

10

If the average (arithmetic mean) of 5 numbers j, j + 5, 2j – 1, 4j – 2, and 5j – 1 is 8, what is the value of j ?

11

Guadalupe owns 2 rectangular tracts of land. One is 300 m by 500 m and the other is 250 m by 630 m. The combined area of these 2 tracts is how many square meters?

12

There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold 3 more than Ellen, Cary sold twice as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?

13

In a field day at school, each child who competed in n events and scored a total of p points was given an overall score of $$\frac{p}{n} + n. $$Andrew competed in 1 event and scored 9 points. Jason competed in 3 events and scored 5,6, and 7 points, respectively . What was the ratio of Andrew's overall score to Jason's overall score?

14

Which of the following represent positive numbers?I. 3  (5)II. (3)(5)III. 5  (3)

15

If $$\frac{x}{4}$$ is 2 more than $$\frac{x}{8}$$, then x =

16

If Mario was 32 years old 8 years ago, how old was he x years ago?

17

A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?

18

The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 1.50 + 0.50(x – 2), where x is the number of axles on the truck. What is the toll for an 18wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?

19

For what value of x between –4 and 4, inclusive, is the value of $$ x^{2} – 10x + 16 $$ the greatest?

20

If x = $$\frac{5}{8}$$ and y =$$ \frac{1}{2}$$, what is the value of the expression $$2x y^{2}$$
