单选题 Each of questions 1 through 9 consists of two quantities, Quantity A and Quantity B. You are to compare the two quantities. You may use additional information centered above the two quantities if additional information is given. Choose

A.if Quantity A is greater;
B.if Quantity B is greater;
C.if the two quantities are equal;
D.if the relationship cannot be determined from the information given.

单选题

【正确答案】 C

【答案解析】At $20 per hour, 40 hours per week, for 50 weeks per year, the total yearly income will be 20×40×50=$40,000.

单选题

【正确答案】 A

【答案解析】Quantity A simplifies to

. Quantity B simplifies to

单选题

【正确答案】 B

【答案解析】If you add 2y to both sides of the inequality, you get 4x+2y＜3. Dividing this by 2, you get

. Because

单选题

【正确答案】 B

【答案解析】If you simplify Quantity A, you get (2x+1)(2x-1)-(x ² +1)=4x ² -1-x ² -1= 3x ² -2, which is 2 less than Quantity B.

单选题

【正确答案】 B

【答案解析】Because x, 2y, and 2z-1 are consecutive, you know that 2z-1＞2y. Dividing both sides by 2 obtains

单选题

【正确答案】 A

【答案解析】The number of ways to choose 2 of 14 girls is

. The number of ways to choose 3 of 8 boys is

单选题

【正确答案】 B

【答案解析】A circle with diameter 10 has a radius of 5 and an area of π×5 ² =25π, thus two of them have area 50π. A circle with diameter 16 has a radius of 8 and an area of π×8 ² =64π.

单选题

【正确答案】 B

【答案解析】Because PQ=QR, the triangle PQR is isosceles, so ∠QRS=∠QPS. Since ∠QSR is exterior to the triangle PQS, it has the measure of ∠QPS+∠PQS. It follows that the measure of ∠QSR is greater than that of ∠QPS, which equals ∠QRS.

单选题

【正确答案】 B

【答案解析】The least common multiple of 10 and 12 is 60, so you add:

. Similarly,