1. What is the value of ? (1)2x + 2y = 20 (2)x² + xy = 100 – y²–xy

2. Can 130° be the measure of an exterior angle of triangle ABC? (1)m∠B = 55° (2)m∠C = 65°

3. A translation from P(x, y) to P′(x′, y′) is described as “8 units right and 5 units down.” What is the value of x′? (1)y′ = –1 (2)y = 4

4. In a survey asking 25 students in a classroom about their juice preferences (apple, orange, grape, and/or none), 15 said they like orange juice, and 10 said they like apple juice. How many students like both orange and apple juice? (1)One student said she did not like any kind of juice. (2)Three students said they like grape juice but not orange or apple juice.

5. Is ? (1)4^{x + 3} > 0 (2)4^x > 1

6. What is the value of the larger of two consecutive integers? (1)The greater integer is odd. (2)The product of the two integers is 182.

7. What is the value of a^–0.6? (1) (2)a² = 32a

8. A customer makes a deposit of $x and withdrawals of $y and $z from a checking account. If the initial balance was $195 and no other transactions have taken place, what is the customer’s new balance? (1)$x – ($y + $z) = $135 (2)The difference between $x and $y is $135 more than $z.

9.
What fraction of circle C is shaded? (1)m∠PCS = 120° (2)

10. In a survey asking 25 students in a classroom about their juice preferences (apple, orange, grape, and/or none), 15 said they like orange juice, and 10 said they like apple juice. How many students like both orange and apple juice? (1)One student said she did not like any kind of juice. (2)Three students said they like grape juice but not orange or apple juice.

11. If the temperature is 20° at 5 a.m. and rises at the rate of y° per hour, what is the value of y? (1)At 6 a.m., the temperature is 20° + y°. (2)The temperature at noon is 41°.

12. Is ? (1)4^{x + 3} > 0 (2)4^x > 1

13. A customer makes a deposit of $x and withdrawals of $y and $z from a checking account. If the initial balance was $195 and no other transactions have taken place, what is the customer’s new balance? (1)$x – ($y + $z) = $135 (2)The difference between $x and $y is $135 more than $z.

14. To the nearest dollar, what is the value of the money in a rectangular box filled to capacity with twenty-dollar bills? (1)The box measures 24 by 16 by 8 inches. (2)A stack of 100 twenty-dollar bills is 0.43 inch tall.

15. P and Q are points in a coordinate plane. What is the distance between P and Q? (1)P has coordinates (–3, 2), and Q has coordinates (3, 4). (2)The midpoint between P and Q is (0, 3).

16. What is the value of the larger of two consecutive integers? (1)The greater integer is odd. (2)The product of the two integers is 182.

17.
What fraction of circle C is shaded? (1)m∠PCS = 120° (2)

18. Triangle ABC is isosceles. What is its perimeter? (1)AB = 15 (2)BC = 20

19. A box contains cards with the names of boys and girls in a classroom written on them. Only one name is written on each card, and the cards are identical in size and shape. Two cards are randomly drawn from the box, one after the other. What is the probability that the students whose names are drawn are both boys? (1)The first card drawn is not replaced before the second card is drawn. (2)The box contains the names of 8 boys and 12 girls.

20. To the nearest dollar, what is the value of the money in a rectangular box filled to capacity with twenty-dollar bills? (1)The box measures 24 by 16 by 8 inches. (2)A stack of 100 twenty-dollar bills is 0.43 inch tall.