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Material Type: Exam; Professor: Zhang; Class: Algebra and Trigonometry; Subject: Mathematics; University: Fayetteville State University; Term: Fall 2008;
Typology: Exams
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MATH 131 Review Questions for Chapter 1
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the distance d(P1, P2) between the points P1 and P2.
Find the midpoint of the line segment joining the points P1 and P2.
A) (6, -13) B) (6, -
List the intercepts of the graph.
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
Solve the equation.
A) {
x + 4
x - 4
x2 - 16
A) {-21} B) {21} C) {42} D) { 21}
7x
Find the real solutions of the equation by factoring.
Solve the equation by the Square Root Method.
Find the real solutions, if any, of the equation. Use the quadratic formula.
A) {
} D) no real solution
Write the expression in the standard form a + bi.
4 + i
A)
i B)
i C)
i D)
i
Find the real solutions of the equation.
Find the real solutions of the equation by factoring.
Find the real solutions of the equation.
-5-5 00 55 1010 1515 2020
B) (-5, 13 )
-5-5 00 55 1010 1515 2020
C) [ 13 , «)
-5-5 00 55 1010 1515 2020
D) (-«, -5] U [ 13 , «)
-5-5 00 55 1010 1515 2020
Find an equation for the line with the given properties. Express the answer using the slope-intercept form of the equation of a line.
-5 5 x
y
5
-5 5 x
y
5
A) y = -
x + 4 B) y =
x + 4
C) y - 3 = 2(x - 2) D) y - 3 = -
(x - 2)
A) y + 4 =
(x + 8) B) y =
x +
C) y =
x +
D) y = -
x +
Find the slope of the line.
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
Write the standard form of the equation of the circle.
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
A) (x - 2)2 + (y - 3)2 = 36 B) (x + 2)2 + (y + 3)2 = 36 C) (x + 3)2 + (y + 2)2 = 36 D) (x - 3)2 + (y - 2)2 = 36
Write the general form of the equation of the circle with radius r and center (h, k).