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Review Questions for Exam 1 - Algebra and Trigonometry | MATH 131, Exams of Trigonometry

Material Type: Exam; Professor: Zhang; Class: Algebra and Trigonometry; Subject: Mathematics; University: Fayetteville State University; Term: Fall 2008;

Typology: Exams

Pre 2010

Uploaded on 08/01/2009

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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(
P
1
,
P
2
) between the points
P
1
and
P
2
.
P
1
= (
6
,
4
);
P
2
= (
-6
,
-3
)
A)
95
B)
84
C)
5
D)
193
Find the midpoint of the line segment joining the points
P
1
and
P
2
.
P
1
= (
9
,
-8
);
P
2
= (
-3
,
-5
)
A)
(
6
,
-13
)
B)
(6, -
3
2)
C)
(
12
,
-3
)
D)
(3, -
13
2)
List the intercepts of the graph.
x
-10 -5 5 10
y
10
5
-5
-10
x
-10 -5 5 10
y
10
5
-5
-10
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)
{
1
5}
B)
{
1
11}
C)
{-
1
11}
D)
{-
1
5}
5
x + 4 -
3
x - 4 =
10
x2 - 16
A)
{
-21
}
B)
{
21
}
C)
{
42
}
D)
{21}
1 -
9
7x =
6
5
A)
{
- 9
}
B)
{
- 5
}
C)
{-
45
7}
D)
{
45
7}
Find the real solutions of the equation by factoring.
x
2
- 5x = 0
A)
{
-5
}
B)
{0,
5
}
C)
{0,
-5
}
D)
{
5
}
1
pf3
pf4
pf5

Partial preview of the text

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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.

  1. 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.

  1. 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.

  1. 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.

  1. x2 - 5x = 0 A) {-5} B) {0, 5} C) {0, -5} D) {5}

Solve the equation by the Square Root Method.

  1. (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.

  1. 3x2 + x - 7 = 0

A) {

} B) {

C) {

} D) no real solution

Write the expression in the standard form a + bi.

  1. 2i(8 - 4i) A) 8+ 16i B) 16i - 8i2^ C) 16i + 8i2^ D) 16i- 8
  1. 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.

  1. 24x + 24 = x + 7 A) {5} B) {-4} C) {7} D) {-5}

Find the real solutions of the equation by factoring.

  1. 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.

  1. 26x + 13 = x + 7 A) {4} B) {6} C) {-5} D) {-6}
  1. |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.

  1. 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)

  1. 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).

  1. 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