An event planner is planning a party. It costs the event planner a onetime fee of $35 to rent the venue and $10.25 per attendee. The event planner has a budget of $200. What is the greatest number of attendees possible without exceeding the budget?

A) 61

B) 14

C) 16

D) 41

y ≤ x, y ≤ - x
Which of the following ordered pairs (x,y) is a solution to the system of inequalities above?

A) (- 1, 0)

B) (0, 1)

C) (1, 0)

D) (0, - 1)

If \$"a"^2 - "b"^2 = 88\$, a - b = 4 then find the value of ab.

A) 22

B) 117

C) 71

D) 88

A number x is at most 17 less than 5 times the value of y. If the value of y is 3, what is the greatest possible value of x?

A) - 2

B) 3

C) 2

D) - 3

If \$2 (3"x" + 5) > 4"x" - 5 < 3"x" + 2\$; then x can take which of the following values?

A) \$((-15)/2) < "x" < 7\$

B) \$((-15)/2) > "x" < 7\$

C) \$((15)/2) < "x" < 7\$

D) \$((-15)/2) > "x" > 7\$

A cargo helicopter delivers only 100-pound packages and 120-pound packages. For each delivery trip, the helicopter must carry at least 10 packages, and the total weight of the packages can be at most 1,100 pounds. What is the maximum number of 120-pound packages that the helicopter can carry per trip?

A) 6

B) 5

C) 4

D) 2

A moving truck can tow a trailer if the combined weight of the trailer and the boxes it contains is no more than 4600 pounds. What is the maximum number of boxes this truck can tow in a trailer with a weight of 500 pounds if each box weighs 120 pounds?

A) 36

B) 34

C) 40

D) 39

Calculate the least whole number, which when subtracted from both the terms of the ratio 5:6 given a ratio less than 17:22.

A) 5

B) 3

C) 2

D) 6

y > 14
4x + y < 18
The point (x, 53)is a solution to the system of inequalities in the xy-plane. Which of the following could be the value of x?

A) 9

B) 5

C) - 9

D) - 5

For what value of s, does the inequality \$9"s" - "s"^2 ≤ 17"s" + 15\$ holds.

A) - 2

B) - 5

C) - 3

D) All the above