Equations and Such
Which of the following is a solution to
|4x - 5| = 19?
A. 4 B. 5 C. 6 D. 7 E. 8
What is C. 6?
Simplify |-5 - 13| - |7 - 19|.
A. -7 B. 6 C. 30 D. -6 E. 25
What is B. 6?
If f(x) = 3x - 5, then express f(2x + 7) in terms of x.
A. 5x - 35 B. 5x + 2 C. 6x - 3
D. 6x + 16 E. 6x2 - 35
What is D. 6x + 16?
At what point do the lines y = 5x and 2x - y = 3 intersect?
A. (-5, -1) B. (-3, 0) C. (-1, -5)
D. (0, 0) E. (1, 5)
What is C. (-1, -5)?
TJ has visited 32 states and 11 foreign countries. What percentage of his goal of visiting all 50 states has he accomplished?
A. 7 B. 18 C. 64 D. 75 E. 86
What is C. 64?
Which of the following is not a solution to (x2 + 4x - 5)(x3 - 4x) = 0?
A. -2 B. 0 C. 1 D. 2 E. 5
What is E. 5?
Simplify (-8)-1 + (-1)-3.
A. -9/8 B. -8/3 C. 11 D. 9 E. -7
What is A. -9/8?
If f(x) = 2x - 4 and 1 < x < 3, then what numbers is f(x) between?
A. -4 and 0 B. -2 and 2 C. 1 and 3
D. 2 and 4 C. 4 and 8
What is B. -2 and 2?
If x = 2t + 3 and y = 6t, at what value of y will the graph of this function, in the x-y plane, cross the y-axis?
A. -9 B. -7 C. -5 D. -3 E. -1
What is A. -9?
If your car gets 30 mi/gal and gasoline costs $3.75/gal, how far can you drive on $10?
A. 11.25 mi B. 50 mi C. 80 mi D. 125 mi E. 150 mi
What is C. 80 mi?
Solve log2(x + 9) = 3.
A. x= -3 B. x=-1 C. x= 0
D. x=3 E. x= 5
What is B. x = -1?
In triangle ABC, BC = 3, AC = 4, and AB = 5. What is tan A?
A. 3/5 B. 3/4 C. 4/5 D. 5/4 E. 4/3
What is B. 3/4?
If f(x) = x2, g(x) = x - 13, and h(x) = 4x, then find f(g(h(5))).
A. 25 B. 35 C. 36 D. 48 E. 49
What is E. 49?
How many points of intersection exist for the graphs of y = -x + 1 and y = -(x - 1)3?
A. 0 B. 1 C. 2 D. 3 E. 4
What is D. 3?
If the radius of a circle is decreased by 10%, by what percent is its area decreased?
A. 1% B. 25% C. 10% D. 20% E. 19%
What is E. 19%?
Solve log 3 + log x = log(x - 2)(x + 2).
A. x= -2 B. x= -1 C. x= 2 D. x= 4 E. x= 8
What is D. x= 4?
If triangle XYZ has right angle Z with known values for XZ and YZ, which trigonometric ratio would be used to find the measure of angle Y?
A. cosine B. cotangent C. secant
D. sine E. tangent
What is E. tangent?
If f(x) = x(x + 7)(x - 3) + 256,
find f(19) - f(5).
A. 14 B. 265 C. 3024 D. 7784 E. 8535
What is D. 7784?
What are the zeroes of P(x) = x3 - 4x2 + x + 6?
A. -3, -2, -1 B. -2, -1, 3 C. -2, 1, 3
D. -1, 2, 3 E. 1, 2, 3
What is D. -1, 2, 3?
Aaron has $4720 in savings, and his younger brother has savings of $2200. In how many months will their savings be equal if Aaron's savings decrease by $80 per month while his brother's savings increase by $60 per month?
A. 15 B. 16 C. 18 D. 20 E. 22
What is C. 18 months?
If a > 0 and b > 0, then find the solution to
(x - a)/(x + b) < 0.
A. -a < x < b B. -b < x < a C. x < a
D. x > a E. x < -b
What is B. -b < x < a?
Evaluate 2x + 1 when x4 - x2 = 12.
A. 1 B. 2 C. 3 D. 4 E. 5
What is E. 5?
Find k if f(x) = 4 - 3x - 2kx2 and f(1) = 0.
A. -1/2 B. 1/2 C. 3/2 D. 2 E. 5/2
What is B. 1/2?
Which of the following is the perpendicular bisector of the segment with endpoints at (1, 9) and (-5, -3)?
A. x - 2y = -2 B. x + 2y = 4 C. 2x + y = -1
D. 2x - y = -2 E. 2x - y = -7
What is B. x + 2y = 4?
If u*v = u3 + v and u#v = u2 - sqrt(v), then find 3*(2#4).
A. 6 B. 11 C. 18 D. 21 E. 29
What is E. 29?