Question 1 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 2 of 20
Evaluate each piecewise function at the given values of the independent variable.
g(x) = x + 3 if x ≥ -3
-(x + 3) if x < -3
1. g(0)
2. g(-6)
3. g(-3)
A. 1. -1
2. 7
3. 19
B. 1. 3
2. 3
3. 0
C. 1. -7
2. 9
3. 2
D. 1. 9
2. 7
3. 19
Question 3 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 4 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 5 of 20
Use the given conditions to write an equation for each line in point-slope form.
Passing through (-8, -10) and parallel to the line whose equation is y = -4x + 3.
A. y + 10 = -4(x + 8)
B. y + 11 = 4(x2 + 8)
C. y - 12 = -5(x + 20)
D. y + 14 = -4(x - 5)
Question 6 of 20
Give the slope and y-intercept of each line whose equation is given.
y = 2x + 1
A. m = 3; b = 4
B. m = 5; b = 1
C. m = 6; b = 7
D. m = 2; b = 1
Question 7 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 8 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 9 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
Question 10 of 20
Evaluate each function at the given values of the independent variable and simplify.
g(x) = x2 + 2x + 3
1. g(-1)
2. g(x + 5)
3. g(-x)
A.
1. 2
2. x2 + 12x + 38
3. x2 - 2x + 3
B.
1. 4
2. x2 + 6x + 38
3. x2 - 3x +5
C.
1. 7
2. x2 + 7x + 56
3. x2+ 4x + 7
D.
1. 5
2. x2 -12x + 38
3. x2+ 5x + 7
Question 11 of 20
Use the given conditions to write an equation for each line in general form.
Passing through (4, -7) and perpendicular to the line whose equation is x - 2y - 3 = 0.
A. 6x - y - 1 = 0
B. 4x + y + 1 = 0
C. 7x - y + 2 = 0
D. 2x + y - 1 = 0
Question 12 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 13 of 20
Determine whether the function is odd, even, neither, or can’t be determined:
h(x) = x2 – x4
A. Even
B. Odd
C. Neither
D. Can’t be determined
Question 14 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 15 of 20
Determine whether the function is odd, even, neither, or can’t be determined:
f(x) = x3 + x
A. Even
B. Odd
C. Neither
D. Can’t be determined
Question 16 of 20
Give the slope and y-intercept of each line whose equation is given.
y = -3/5x + 7
A. m = 3/4; b = -2
B. m = 6; b = 7
C. m = -3/5; b = 7
D. m = 1; b = 8
Question 17 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 18 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 19 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 20 of 20
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.
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 2 of 20
Evaluate each piecewise function at the given values of the independent variable.
g(x) = x + 3 if x ≥ -3
-(x + 3) if x < -3
1. g(0)
2. g(-6)
3. g(-3)
A. 1. -1
2. 7
3. 19
B. 1. 3
2. 3
3. 0
C. 1. -7
2. 9
3. 2
D. 1. 9
2. 7
3. 19
Question 3 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 4 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 5 of 20
Use the given conditions to write an equation for each line in point-slope form.
Passing through (-8, -10) and parallel to the line whose equation is y = -4x + 3.
A. y + 10 = -4(x + 8)
B. y + 11 = 4(x2 + 8)
C. y - 12 = -5(x + 20)
D. y + 14 = -4(x - 5)
Question 6 of 20
Give the slope and y-intercept of each line whose equation is given.
y = 2x + 1
A. m = 3; b = 4
B. m = 5; b = 1
C. m = 6; b = 7
D. m = 2; b = 1
Question 7 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 8 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 9 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
Question 10 of 20
Evaluate each function at the given values of the independent variable and simplify.
g(x) = x2 + 2x + 3
1. g(-1)
2. g(x + 5)
3. g(-x)
A.
1. 2
2. x2 + 12x + 38
3. x2 - 2x + 3
B.
1. 4
2. x2 + 6x + 38
3. x2 - 3x +5
C.
1. 7
2. x2 + 7x + 56
3. x2+ 4x + 7
D.
1. 5
2. x2 -12x + 38
3. x2+ 5x + 7
Question 11 of 20
Use the given conditions to write an equation for each line in general form.
Passing through (4, -7) and perpendicular to the line whose equation is x - 2y - 3 = 0.
A. 6x - y - 1 = 0
B. 4x + y + 1 = 0
C. 7x - y + 2 = 0
D. 2x + y - 1 = 0
Question 12 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 13 of 20
Determine whether the function is odd, even, neither, or can’t be determined:
h(x) = x2 – x4
A. Even
B. Odd
C. Neither
D. Can’t be determined
Question 14 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 15 of 20
Determine whether the function is odd, even, neither, or can’t be determined:
f(x) = x3 + x
A. Even
B. Odd
C. Neither
D. Can’t be determined
Question 16 of 20
Give the slope and y-intercept of each line whose equation is given.
y = -3/5x + 7
A. m = 3/4; b = -2
B. m = 6; b = 7
C. m = -3/5; b = 7
D. m = 1; b = 8
Question 17 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 18 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 19 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 20 of 20
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.
