20 multiple choice algebra questions

Question 1 of 20

Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of f is perpendicular to the line whose equation is 3x - 2y - 4 = 0 and has the same y-intercept as this line.

A. f(x) = 2/3x – 4
B. f(x) = -2/5x – 6
C. f(x) = -2/3x – 2
D. f(x) = -2/7x + 8

Question 2 of 20

Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (4, 7) and (8, 10)

A. 3/4, rises
B. 2/4, falls
C. 1/4, horizontal
D. 3/5, vertical

Question 3 of 20

Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6.

A. f(x) = 6
B. f(x) = 8
C. f(x) = 3
D. f(x) = 5 Question 4 of 20 Give the slope and y-intercept of each line whose equation is given. g(x) = -1/2x A. m = 3/4; b = -2 B. m = 6; b = 7 C. m = -1/2; b = 0 D. m = 1; b = 8

Question 5 of 20

Determine whether the function is odd, even, neither, or can’t be determined: g(x) = x2 + x

A. Even
B. Odd
C. Neither
D. Can’t be determined
Question 6 of 20

Find the average rate of change of the function from x1 to x2. f(x) = √x from x1 = 4 to x2 = 9

A. 1/5
B. 1
C. 2
D. 1/4
Question 7 of 20

Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2 and a y–intercept of -4.

A. f(x) = -1/2x + 1
B. f(x) = -1/5x + 3
C. f(x) = 1/5x - 3
D. f(x) = -2/5 x + 1
Question 8 of 20

Find the average rate of change of the function from x1 to x2. f(x) = x2 + 2x from x1 = 3 to x2 = 5

A. 10
B. 15
C. 4
D. 25
Question 9 of 20

Determine whether the following equation defines y as a function of x: x + y = 16

A. Y is a function of x.
B. Y is not a function of x.
C. X is a function of y.
D. X is not a function of y
Question 10 of 20

Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (4, -2) and (3, -2)

A. 1; rises
B. 4; fall
C. 0; horizontal
D. 0; vertical
Question 11 of 20

Use the given conditions to write an equation for each line in point-slope form. Passing through (2, -3) and perpendicular to the line whose equation is y = 1/5 x + 6.

A. y + 8 = 5(x - 6)
B. y - 3 = -5(x + 20)
C. y + 3 = -5(x - 2)
D. y - 3 = -5(x + 5) Question 12 of 20 Write an equation in general form of the line passing through (3, -5) whose slope is the negative reciprocal (the reciprocal with the opposite sign) of –1/4. A. 5x + y - 22 = 0 B. 4x - y - 17 = 0 C. 4x + y + 20 = 0 D. 7x - y + 34 = 0
Question 13 of 20

Evaluate each function at the given values of the independent variable and simplify. f(x) = 4x + 5 1. f(6) 2. f(x + 1) 3. f(-x)

A. 1. 27 2. 5x + 9 3. -4x + 8
B. 1. 35 2. 4x + 9 3. -7x + 5
C. 1. 29 2. 4x + 9 3. -4x + 5
D. 1. 29 2. 3x + 8 3. 4x + 6
Question 14 of 20

Evaluate each piecewise function at the given values of the independent variable.

f(x)

=

3x + 5 if x < 0 4x + 7 if x ≥ 0

1. f(-2) 2. f(0) 3. f(3)

A. 1. -1 2. 7 3. 19
B. 1. -5 2. 9 3. 19
C. 1. -1 2. 7 3. 21
D. 1. 6 2. 7 3. 19

Question 15 of 20

Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (5, 3) and (5, -2)

A. 1; rises
B. 4/9;horizontal
C. Undefined; vertical
D. Undefined; falls

Question 16 of 20

Determine whether the following equation defines y as a function of x: x2 + y = 16

A. Y is not a function of x.
B. X is a function of y.
C. X is not a function of y.
D. Y is a function of x.
Question 17 of 20	5.0 Points

Determine whether the following equation defines y as a function of x: x2 + y2 = 16

A. Y is a function of x.
B. X is not a function of y.
C. X is a function of x.
D. Y is not a function of x
Question 18 of 20

Give the slope and y-intercept of each line whose equation is given. f(x) = 3/4 x - 2

A. m = 3/4; b = -2
B. m = 6; b = 7
C. m = 2; b = 1
D. m = 8; b = 7
Question 19 of 20

Use the given conditions to write an equation for each line in general form. Passing through (-2, 2) and parallel to the line whose equation is 2x - 3y - 7 = 0.

A. 3x - 3y + 11 = 0
B. 2x - 3y + 10 = 0
C. 6x - 4y + 12 = 0
D. 2x - 5y + 15 = 0 Question 20 of 20 Find the average rate of change of the function from x1 to x2. f(x) = 3x from x1 = 0 to x2 = 5 A. -4 B. 8 C. 2 D. 3