No Calculator #1
Salim wants to purchase tickets from a vendor to watch a tennis match. The vendor charges a one-time service fee for processing the purchase of the tickets. The equation T = 15n + 12 represents the total amount T, in dollars, Salim will pay for n tickets. What does 12 represent in the equation?
The amount of the service fee, in dollars
What is the sum of the complex numbers 2 + 3i and 4 + 8i, where i = √(-1) ?
A) 17
B) 17i
C) 6 + 11i
D) 8 + 24i
C) 6 + 11i
The weight of an object on Venus is approximately 9/10 of its weight on Earth. The weight of an object on Jupiter is approximately 23/10 of its weight on Earth. If an object weighs 100lbs on Earth, approximately how many more pounds does it way on Jupiter than it weighs on Venus?
A) 90
B) 111
C) 140
D) 230
C) 140
The Downtown Business Association (DBA) in a certain city plans to increase its membership by a total of n businesses per year. There were b businesses in the DBA at the beginning of this year. Which function best models the total number of businesses, y, the DBA plans to have as members x years from now?
A) y = nx + b
B) y = nx - b
C) y = b(n)^x
D) y = n(b)^x
A) y = nx + b
A gardener buys two kinds of fertilizer. Fertilizer A contains 60% filler materials by weight and Fertilizer B contains 40% filler materials by weight. Together, the fertilizers bought by the gardener contain a total of 240 lbs of filler materials. Which equation models this relationship, where x is the number of pounds of Fertilizer A and y is the number of pounds of Fertilizer B?
A) 0.4x + 0.6y = 240
B) 0.6x + 0.4y = 240
C) 40x + 60y = 240
D) 60x + 40y = 240
B) 0.6x + 0.4y = 240
4x^2 - 9 = (px + t)(px - t)
In the equation above, p and t are constants. Which of the following could be the value of p?
A) 2
B) 3
C) 4
D) 9
A) 2
An online bookstore sells novels and magazines. Each novel sells for $4, and each magazine sells for $1. If Sadie purchased a total of 11 novels and magazines that had a combined selling price of $20, how many novels did she purchase?
A) 2
B) 3
C) 4
D) 5
B) 3
In the 1908 Olympic Games, the Olympic marathon was lengthened from 40 kilometers to approximately 42 kilometers. Of the following, which is closest to the increase in the distance of the Olympic marathon, in miles? (1 mile is approximately 1.6 km.)
A) 1.00
B) 1.25
C) 1.50
D) 1.75
B) 1.25
If x = 2y/3 and y = 18, then what is the value of 2x - 3 ?
A) 21
B) 15
C) 12
D) 10
A) 21
Jaime is preparing for a bicycle race. His goal is to bicycle an average of at least 280 miles per week for 4 weeks. He bicycled 240 miles the first week, 310 miles the second week, and 320 miles the third week. Which inequality can be used to represent the number of miles, x, Jaime could bicycle on the 4th week to meet his goal?
A) (240 + 310 + 320)/3 + x ≥ 280
B) 240 + 310 + 320 ≥ x(280)
C) 240/4 + 310/4 + 320/4 + x ≥280
D) 240 + 310 + 320 + x ≥ 4(280)
D) 240 + 310 + 320 + x ≥ 4(280)
The density d of an object is found by dividing its mass m by its volume V. Which of the following gives the mass m in terms of d and V?
A) m = dV
B) m = d/V
C) m = V/d
D) m = V + d
A) m = dV
-2x + 3y = 6
In the xy-plane, the graph of which of the following is perpendicular to the graph of the equation above?
A) 3x + 2y = 6
B) 3x + 4y = 6
C) 2x + 4y = 6
D) 2x + 6y = 3
A) 3x + 2y = 6
Which of the following is true about the parabola with the equation y = -a(x-b)^2 + c ?
A) The vertex is (b, c) and the graph opens upward.
B) The vertex is (b, c) and the graph opens downward.
C) The vertex is (-b, c) and the graph opens upward.
D) The vertex is (-b, c) and the graph opens downward.
B) The vertex is (b, c) and the graph opens downward.
2x^2 - 4x = t
In the equation above, t is a constant. If the equation has no real solutions, which of the following could be the value of t?
A) -3
B) -1
C) 1
D) 3
A) -3
y/2 = 4
x - y/2 = 2
The system of equations above has a solution (x, y). What is the value of x?
A) 3
B) 7/2
C) 4
D) 6
D) 6
y ≤ 3x + 1
x - y > 1
Which of the following ordered pairs (x, y) satisfies the system of inequalities above?
A) (-2, -1)
B) (-1, 3)
C) (1, 5)
D) (2, -1)
D) (2, -1)
If a^(b/4) = 16 for positive integers a and b, what is one possible value of b?
1, 2, 4, 8, or 16
2t/3 = 5/2
What value of t is the solution of the equation above?
15/4 = 3.75
(a - b) / a = c
In the equation above, if a is negative and b is positive, then which of the following must be true?
A) c > 1
B) c = 1
C) c = -1
D) c < -1
A) c > 1
x^2 + 20x + y^2 + 16y = -20
The equation above defines a circle in the xy-plane. What are the coordinates of the center of that circle?
A) (-20, -16)
B) (-10, -8)
C) (10, 8)
D) (20, 16)
B) (-10, -8)