Functions
Which set represents a function?
A. (1,4) (2,2) (3,4) (2,6)
B. (1,2) (2,4) (3,6) (4,2)
C. (2,6) (0,4) (1,6) (2,2)
D. (2,2) (3,2) (4,6) (3,6)
B. (1,2) (2,4) (3,6) (4,2)
Which statement best describes the solutions for a two-variable equation?
A. The ordered pairs must lie on the graphed equation.
B. The ordered pairs must lie near the graphed equation.
C. The ordered pairs must have x=0 for the coordinate.
D. The ordered pairs must have y=0 for one coordinate.
A. The ordered pairs must lie on the graphed equations.
Which polynomial has a leading coefficient of 4 and a degree of 3?
A. 3x4-2x2+4x-7
B. 4 + x - 4x2+5x3
C. 4x4-3x3+2x2
D. 2x+x2+4x3
Which expression is equivalent to 18x2-50?
A. 2(3x+5)2
B. 2(3x-5)2
C. 2(3x-5)(3x+5)
D.2(3x-25)(3x+25)
C. 2(3x-5)(3x+5)
The zeros of the function f(x)=x3-9x2 are
A. 9, only
B. 0 and 9
C. 0 and 3, only
D. -3,0,3
B. 0 and 9
If f(x)= 2(3x) + 1, what is the value of f(2)?
A. 13
B. 19
C. 37
D. 54
B. 19
A high school sponsored a badminton tournament. After each round, one-half of the players were eliminated. If there were 64 players at the start of the tournament, which equation models the number of players left after 3 rounds?
A. y=64(1-.5)3
B. y=64(1+.5)3
C. y=64(1-.3)0.5
D. y=64(1+.3)0.5
A. y=64(1- .5)3
Given 7x + 2 >(or equal to) 58, which number is not in the solution set?
A. 6
B. 8
C. 10
D. 12
A. 6
The expression x2-10x+24 is equivalent to
A. (x+12)(x-2)
B. (x-12)(x+2)
C. (x+6)(x-4)
D. (x-6)(x-4)
D. (x-6)(x-4)
Minimum of g(x): 4, F(x)=-x2-4x-4
Which statement is true about the functions of f(x) and g(x), given below?
A. The minimum value of g(x) is greater than the maximum value of f(x).
B. f(x) and g(x) have the same y-intercept
C. f(x) and g(x) have the same roots
D. f(x)=g(x) when x=-4
B. f(x) and g(x) have the same y-intercept
The range of the function f(x)=(absolute value x+3) - 5 is
A. [5, infinity)
B. (-5, infinity)
C. [3, infinity)
D. (3, infinity)
A. [-5, infinity)
The equation V(t)=12,000(0.75)t represents the value of a motorcycle t years after it was purchased. Which statement is true?
A. The motorcycle cost $9,000 when purchased.
B. The motorcycle cost $12,000 when purchased.
C. The motorcycle's value is decreasing at a rate of 75% each year.
D. The motorcycle's value is decreasing at a rate of 0.25% each year.
B. The motorcycle cost $12,000 when purchased.
A population of paramecia, P, can be modeled using the exponential function P(t)=3(2)t, where t is the number of days since the population was first observed. Which domain is most appropriate to use to determine the population over the course of the first two weeks?
A. t is greater than or equal to 0
B. t is less than or equal to 2
C. 0 is less than or equal to t which is less than or equal to 2
D. 0 is less than or equal to t which is less than or equal to 14
D.) 0 is less than or equal to t which is less than or equal to 14
Which expression is not equivalent to -4x3+x2-6x+8?
A. x2(-4x+1)-2(3x-4)
B. x(-4x2-x+6) +8
C. -4x3+ (x-2)(x-4)
D. -4(x3-2) + x(x-6)
B. x(-4x2-x+6)+8
Which value of x makes x-3/4 + 2/3 = 17/12?
A. 8
B. 6
C. 0
D. 4
B. 6
A formula for determining the finite sum, S, of an arithmetic sequence of numbers is S=n/2(a+b), where n is the number of terms, a is the first term, and b is the last term. Express b in terms of a, S, and n.
b = 2(S)/n - a OR 2S-na/n
Which situation could be modeled as a linear equation?
A. The value of car decreased by 10% every year.
B. The number of fish in a lake doubles every 5 years.
C. Two liters of water evaporate from a pool everyday.
D. The amount of caffeine in a person's body decreases by 1/3 every 2 hours.
C. Two liters of water evaporate from a pool every day.
Given the following data:
65,70,70, 70, 70, 80, 80, 80, 85, 90, 90, 95, 95, 95, 100
What is the mean of the data?
82.3
State whether the product of square root of 3 and square root of 9 is rational or irrational. Explain your answer.
Irrational
The solutions to (x+4)2-2=7 are
A. -4 +/- square root of 5
B. 4 +/- square root of 5
C. -1 and -7
D. 1 and 7
C. -1 and -7
Given this information:
Sales Price (p): 160, 180, 200, 220, 240, 260, 280
Number of New Homes Available f(p): 126, 103, 82, 75, 82, 40, 20
State the linear regression function, that estimates the number of new homes available at a specific sale price, p. Round all values to the nearest hundredth.
f(p)=-0.79p +249.86
Use the method of completing the square to determine the exact values of x for the equations x2-8x+6=0.
x = 4 +/- square root of 10
A recursively defined sequence is shown below.
a1= 5 and an+1=2an-7
The value of a4 is
A. -9
B. -1
C. 8
D. 15
A. -9
3x-y=7 and 2x+3y=12
A. 6x-2y=14 and -6x+9y=36
B. 18x-6y=42 and 4x+6y=24
C. -9x-3y=-21 and 2x+3y=12
D. 3x-y=7 and x+y=2
B. 18x-6y=42 and 4x+6y=24