Factor completely
4x2 - 11x + 6
(4x - 3)(x - 2)
Solve the equation algebraically.
4x - 10 = 6x - 12
x = 1
What are the zeros of f(x) = x2 - 6x
0, 6
Given the function f(x) = 2x2 - 5x + 7 what is the value of f(-3)?
40
What is the value of the expression if x = 2, y = -3, and z = 4 ?
2xy2 - 5z3
-284
Factor the trinomial
x2 - 3x - 54
(x + 6)(x - 9)
Determine the solution to the following equation algebraically.
1/2x - 7 = 5 - 3(5/6x - 2)
x = 6
What are the x-intercepts of the graph
y = 2x2 - 5x - 3 ?
A. (3/2, 0), (-1, 0)
B. (-1/3, 0), (9/2, 0)
C. (-1/2, 0), (3, 0)
D. (1/6, 0), (-9, 0)
C.
What value of x would make the following a function?
{(1,3), (5,3), (7,9), (-4,8), (9,2), (x, 4), (12,18)}
A. 1
B. 2
C. 7
D. 9
B. 2
What is the slope of the line that goes through the points (0, 2) and (4, 8)?
3/2
What are the factors of the following binomial?
9x2 - 16
(3x - 4)(3x + 4)
Solve the following for m:
6/7(14 - 7m) = -8m + 2
m = -5
Which of the following have a root of -3? Select all correct answers.
A. y = 2x2 + 6x
B. f(x) = x2 - 6x + 9
C. y = - x2 + x + 6
D. f(x) = x2 + 6x + 9
A and D
What is the y-intercept of the function given by the equation f(x) = x2 - 6x - 5
-5
What is the equation of the line that has a slope of 5 and goes through the point (0, 4)?
A. y = 5/4x + 4
B. y = 4x + 5
C. y = 5x + 4
D. y = x + 5/4
C. y = 5x + 4
Factor the expression below.
3x3y - 6x2y2 - 9xy
3xy(x2 - 2xy - 3)
What is the solution to the following equation?
3 - (6x - 4) = 8x - 9
A. -8/7
B. 8/7
C. 4/7
D. -4/7
B. 8/7
Determine the solutions to 3x2 - 8x + 5 = 0.
x = 1 and x = 5/3
{(-5,3), (6,-1), (0,5), (2,8), (4,-10)}
-5, 6, 0, 2, 4
What is the solution to the system of equations?
y = 3x + 5
6x - 8 = 2y
No solution
Which binomial represents a factor of
2x2 + 7x + 6 ?
A. 2x + 2
B. x + 2
C. 2x - 3
D. x + 6
B. x + 2
Andre correctly solved the equation below.
3(x + 2) = 3x + 4
3x + 6 = 3x + 4
3x + 6 - 3x = 3x + 4 - 3x
6 = 4
6 - 4 = 4 - 4
2 = 0
What does Andre's work show us about the type of solution?
No solution
What are the solutions to
2x2 - 3x = 9 ?
x = -3/2 and x = 3
If the domain of the function f(x) = 3x - 2 is {-2, 0, 1}, determine the range.
Range: {-8, -2, 1}
A. (0, 0)
B. (2, 0)
C. (3, 0)
D. (0, 6)
C. (3, 0)