AppleRouth Equation of a Line and Functions

7x+ 3y = 4 -14x + ny = 10 The equations above are parallel and n is a constant. If (1,c) is a solution to the second equations, what is the value of c?

A. -4 B. -2/3 C. 0 D. 4

f(x) = 3x^2 + bx For the function f defined above, b is a constant and f(2) = 18. What is the value of f(-2)?

A. -6 B. 0 C. 6 D. 3

The line 2ax - by = 2, where a and b are constants, is graphed in the xy-plane. if the line contains the point (2, -4), what is the slope of the line in terms of b?

A. -b B. 2b C. b + 2/b D. 1-2b/b

A function f satisfies f(2) =3 and f(4) = 5. A function g satisfies g(3) =4 and g(6) =2. What is the value of f(g(3))?

A. 2 B. 3 C. 4 D. 5

A line in the xy-plane passes through the origin and the point (2,3). Which of the following is the slope of the line?

A. 2/3 B. 3/2 C. 2 D. 3

If f(x) = -7x-4, what is f (-5x) equal to ?

A. 35x^2 -4 B. -35x -4 C. 35x -4 D. 35x^2 + 20x

If f(x-2) = 3x^2 -5x + 4, what does f(-3) equal?

A. 46 B. 12 C. 2 D. -3

ax + 6y = 3 bx + 5y = 2 If the system of equations above is parallel, which of the following must be a true statement?

A. 5b = 6a B. 5a = 6b C. a + b =11 D. ab = 30

y=(5/3)x-2 Which of the following equations represents a line that is parallel to the line given by the equation above?

A. 5x - 3y = 12 B. 2y - 6x = 5 C. 5y - 3x = 12 D. 3x - 5y = 6

The graph of the linear function f passes through the quadrants I, II, and IV. Which of the following is true about the slope of the function f?

A. The slope is undefined B. the slope is positive C. The slope is negative D. There is not enough information provided

x 2 3 4 f(x) 3 7 11 The table above shows values for the function f. If the function is linear, which of the following defines f?

A. f(x) = -2x + 7 B. f(x) = 3x -3 C. f(x) = 4x D. f(x) = 4x-5

A function satisfies g(1) = -2 and g(3) = 4. If the function is linear, which of the following defines g?

A. g(x) = x -3 B. g(x) = 2x-4 C. g(x) = 3x-5 D. g(x) = 4x -6

The line y=mx - 7, where m is a constant, is graphed in the xy-plane. if the line contains the point (6,3), what is the value of m?

A. t= 3s -1/2 B. t = (-1/2)s + 3 C. s= 2t + 3 D. s= (-1/2)t + 3

The graph of a particular line contains the points (-1,-3) and (1,3). What is the equation of the line?

A. y=x + 3 B. y=(1/3)x C. y=3x D. y= 3x + 1