JEOPARDY! Mathematics TAKS Challenge

VARIABLES

100

C The value of a is less than the value of c.

If a < b and b = c, which statement must be true? A The values of a, b, and c are positive. B The values of a, b, and c are negative. C The value of a is less than the value of c. D The value of a is greater than the value of c.

200

In the Algebriac Expression: 3x - 2 + 5x + 6 The cofficients are:

What are 3 and 5

LINES AND GRAPHS

200

G The graph of the line has a positive slope.

Point S and point T are located on the same coordinate plane. Both the x-coordinate and the y-coordinate for point S are negative. Both the x-coordinate and the y-coordinate for point T are positive. Which statement about the line containing points S and T must be true? F The graph of the line has a negative slope. G The graph of the line has a positive slope. H The graph of the line has a negative y-intercept. J The graph of the line has a positive y-intercept.

EQUATIONS

200

C x = 0

Kara claims that the expression x2 + 1 results in an even number for all integer values of x. Which value of x shows that Kara’s claim is incorrect? A x = 5 C x = 0 B x = −3 D x = −1

300

A Step 2

A student tried to solve the following equation but made a mistake. Step 1: 9 − 5(2x + 1) = −28 Step 2: 4(2x + 1) = −28 Step 3: 8x + 4 = −28 Step 4: 8x = −32 Step 5: x = −4 In which step did the mistake first appear? A Step 2 B Step 3 C Step 4 D Step 5

400

H $7.02

The manager of a day-care center wants to serve 1/2 pint of milk to each of the 48 children at the center each day. She can buy the milk in 1/2-pint cartons for $0.35 each, or she can buy 1-gallon containers of milk for $3.26 each. Which of these best represents how much the manager will save on milk each day if she buys the milk in 1-gallon containers? F $9.78 G $2.76 H $7.02 J $2.91

GEOMETRY

100

A II only

Which of the following is true of all squares and all rectangles? I. All squares and all rectangles are equilateral. II. All squares and all rectangles are equiangular. III. All rectangles are squares. A II only B III only C II and III only D I, II, and III

300

B 35 in.

If the area of a circle is 95 square inches, which of the following is closest to the circumference of this circle? A 17 in. C 19 in. B 35 in. D 190 in.

PROBABILITY

400

B 1/28

Ted has 2 spinners. The first spinner is divided into 4 equal sectors. The second spinner is divided into x equal sectors, where x is 1 less than twice the number of sectors on the first spinner. The sectors of the first spinner are numbered from 1 to 4. The sectors of the second spinner are numbered from 1 to x. If Ted spins both spinners once, what is the probability that both spinners will land on 3? A 1/4 C 1/7 B 1/28 D 1/36