Download Review Questions for Exam 1 - Algebra and Trigonometry | MATH 131 and more Exams Trigonometry in PDF only on Docsity!
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.
- P1 = (6, 4); P2 = (-6, -3) A) 95 B) 84 C) 5 D) 193
Find the midpoint of the line segment joining the points P1 and P2.
- P1 = (9, -8); P2 = (-3, -5)
A) (6, -13) B) (6, -
) C) (12, -3) D) (3, -
List the intercepts of the graph.
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
A) (0, - 2 ), (0, 2 ) B) (0, - 2 ), ( 2 , 0) C) (- 2 , 0), (0, 2 ) D) (- 2 , 0), ( 2 , 0)
Solve the equation.
- 8 x - ( 3 x - 1) = 2
A) {
} B) {
} C) {-
} D) {-
x + 4
x - 4
x2 - 16
A) {-21} B) {21} C) {42} D) { 21}
7x
A) {- 9} B) {- 5} C) {-
} D) {
Find the real solutions of the equation by factoring.
- x2 - 5x = 0 A) {-5} B) {0, 5} C) {0, -5} D) {5}
Solve the equation by the Square Root Method.
- (x + 4)2 = 9 A) {- 1} B) {-3, 3} C) {-7} D) {-7, - 1}
Find the real solutions, if any, of the equation. Use the quadratic formula.
- 3x2 + x - 7 = 0
A) {
} B) {
C) {
} D) no real solution
Write the expression in the standard form a + bi.
- 2i(8 - 4i) A) 8+ 16i B) 16i - 8i2^ C) 16i + 8i2^ D) 16i- 8
- i A) 1 B) -i C) i D) -
4 + i
A)
i B)
i C)
i D)
i
Find the real solutions of the equation.
- 24x + 24 = x + 7 A) {5} B) {-4} C) {7} D) {-5}
Find the real solutions of the equation by factoring.
- x3 - 15x2 + 56x = 0 A) {8, 7} B) {8, 0, 7} C) {-8, -7} D) {-8, 0, -7}
Find the real solutions of the equation.
- 26x + 13 = x + 7 A) {4} B) {6} C) {-5} D) {-6}
- |x - 4| - 5 ≥ 4
A) [-5, 13 ]
-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.
- The solid line L contains the point ( 2 , 3 ) and is perpendicular to the dotted line whose equation is y = 2x.
-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)
- Containing the points (-8, -4) and (-5, 6)
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
A) -
B) -2 C)
D) 2
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).
- r = 2 3; (h, k) = (4, -4) A) x2 + y2 + 8x + 8y + 20 = 0 B) x2 + y2 - 8x - 8y + 20 = 0 C) x2 + y2 - 8x + 8y + 20 = 0 D) x2 + y2 + 8x - 8y + 20 = 0
Answer Key
Testname: M131R
1) D
2) D
3) D
4) A
5) B
6) C
7) B
8) D
9) B
10) A
11) B
12) B
13) A
14) B
15) B
16) C
17) A
18) D
19) A
20) B
21) C
22) D
23) C
24) B
