TEST 1
Question 1
Solve the following linear equation:
A. 2
B. 3
C. -6
D. -8
Question 2
Solve the following radical equation:
√(x-3) + 5 = x
A. {2}
B. {5}
C. {9}
D. {7}
Question 3
Solve the following quadratic equation:
2x2 + 5x - 3 = 0
A. {-1/2,2}
B. {1/2,3}
C. {2,4}
D. {-1/3,5}
Question 4
Solve the following linear inequality:
3(x + 4) ≥ 5x – 123
A. [-7,∞)
B. (-∞, 13/2]
C. (-∞, 12]
D. None of the above
Question 5
Solve the following quadratic equation:
6x2 + 3x - 30 = 0
A. {1/2,2}
B. {1/2,7/5}
C. {3,-5/2}
D. {-1/3,5}
Question 6
Solve the following equation involving absolute value:
-3│4x - 7│+ 15 = 0
A. {2/3, 3}
B. {1/4, 6}
C. {1/2, 3}
D. {1/5, 3}
Question 7
The y coordinate of a point where a graph crosses the y axis is called a/an:
A. 1st quadrant.
B. X axis.
C. Y intercept.
D. X intercept.
Question 8
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}
Question 9
Solve the system of linear inequalities by graphing.
x – 2y ≥ 4
x ≤ 4
A.
B.
C.
D.
Question 10
Solve the following formula for the specified variable:
V = 1/3 lwh for h
A. h = 3V/lw
B. h = 5V/lw
C. h = 2V/ w
D. h = 7V/lw
Question 11
The graph of an equation in two variables is:
A. one method for graphing such equations.
B. a solution of an equation in two variables.
C. the set of all points whose coordinates satisfy the equation.
D. are ordered pairs of real numbers which denote distance and direction along the x axis.
Question 12
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
Question 13
Solve the following polynomial equation:
x3 - 4x2 - x + 4 = 0
A. {2, 3, 4}
B. {-1, 2, 5}
C. {1, 1, 3}
D. {-1, 1, 4}
Question 14
Solve the system of linear inequalities by graphing.
3x + 4y ≤ 12
x + 3y ≤ 6
x ≥ 0
y ≥ 0
A.
B.
C.
D.
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)
Question 16
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, ∞)
Question 17
Solve the following equation that has two radicals:
√x+4 + √x-1 = 5
A. {4}
B. {6}
C. {2}
D. {3}
Question 18
The x coordinate of a y coordinate point where a graph crosses the y axis is:
A. This answer cannot be determined.
B. -1.
C. X2.
D. 0.
Question 19
Solve:
9x + 8 = 2x + 8
A. –1
B. 0
C. 1
D. 2
Question 20
Which statement is FALSE?
A. d ∉ {a, b, c}
B. Ø ∈ {a, b, c}
C. Ø ⊂ {a, b, c}
D. a ∈ {a, b, c}
Question 1
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 2
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 3
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 4
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 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
Question 6
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 7
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 8
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 9
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 10
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 11
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
Question 12
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 13
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 14
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 15
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 16
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 17
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 18
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 19
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 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
