Expert Answers

In the rectangular coordinate system, the point of intersection of the horizontal axis and vertical axis is called which of the following?
A. Point plotting
B. Quadrants
C. Viewing window
D. Origin

Solve the following quadratic equation:
(x + 3)2 + 25 = 0
A. {-4 – 6i, -1 + 4i}
B. {-4 – 6i, -2 + 5i}
C. {-3 – 5i, -3 + 5i}
D. {-6 – 5i, -2 + 4i}

Which statement is FALSE?
A. d ∉ {a, b, c}
B. Ø ∈ {a, b, c}
C. Ø ⊂ {a, b, c}
D. a ∈ {a, b, c}

9x + 8 = 2x + 8
A. –1
B. 0
C. 1
D. 2
B
Solve. Write the solution in interval notation.
|x + 4| ≤ 6
A. (–∞, –10) ∪ (2, ∞)
B. (–∞, –10] ∪ [2, ∞)
C. (–10, 2)
D. [–10, 2]

Solve the following absolute value inequality:
│3x + 2│ ≥ 3
A. (-∞, -5/3] ∪ [1/3, ∞)
B. (-∞, -6/7] ∪ [5/6, ∞)
C. (-∞, -4/7] ∪ [1/2, ∞)
D. (∞, -6/7] ∪ [1/3, ∞)

Solve the following linear inequality:

-3           ≤            2x + 5
________________________________________
3             <            6
A. [-7, 13/2)
B. [-12, 7/2)
C. [-3, 8/3)
D. [3, 6/5)

Solve the following quadratic equation:
6×2 + 3x – 30 = 0
A. {1/2,2}
B. {1/2,7/5}
C. {3,-5/2}
D. {-1/3,5}

Choose the graph of the interval (–3, ∞) on a real number line.
A.
B.
C.
D.
Solve the system of linear inequalities by graphing.
x – 2y ≥ 4
x ≤ 4
A.
B.
C.
D.

Solve the following linear equation:
-10 – 3(2x + 1) – 8x – 1 = 0
A. x = -2
B. x = 4
C. x = -1
D. x = -2

Solve the system of linear inequalities by graphing.
x + 2y ≤ 3
2x – 3y ≤ 6
A.
B.
C.
D.

Solve the following linear equation:
2x – 3
________________________________________
4             =            x -4
________________________________________
2             –             x + 1
________________________________________
4
A. 2
B. 3
C. -6
D. -8

Solve the following equation quadratic in form:
x2/3 – 9×1/3 + 8 = 0
A. {1, 219}
B. {1, 328}
C. {1, 129}
D. {1, 512}

Solve the following polynomial equation:
x3 – 4×2 – x + 4 = 0
A. {2, 3, 4}
B. {-1, 2, 5}
C. {1, 1, 3}
D. {-1, 1, 4}
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

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.

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

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

Determine whether the function is odd, even, neither, or can’t be determined:
f(x) = x√1 – x2
A. Even
B. Odd
C. Neither
D. Can’t be determined

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

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
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
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
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

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

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
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

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

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)

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
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

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

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

Solve:
5
________________________________________
y + 4      +            11
________________________________________
y2 + y – 12           =            7
________________________________________
y – 3
A. 16
B. -16
C. 2
D. -2

Solve the following quadratic equation:
2×2 + 5x – 3 = 0
A. {-1/2,2}
B. {1/2,3}
C. {2,4}
D. {-1/3,5}