Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Match the equation with the graph that would most closely resemble its graph.
1)
y = x +6
1)
A)
B)
C)
D)
2)
y = – x –5
2)
A)
B)
C)
D)
3)
y = x –6
3)
A)
B)
C)
D)
4)
y = – x +4
4)
A)
B)
C)
D)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Answer the question.
5)
The ordered pair (2, ) is a solution of the equation y =5.
5)
Provide the proper response.
6)
If the product of the slopes of two lines is –1, what do we know about the lines?
6)
Answer the question.
7)
The ordered pair (4, 2) is a solution of the equation 2x – 3y =.
7)
Answer the question or write an explanation.
8)
What is the common name given to a horizontal line whose y–intercept is the origin?
8)
Provide the proper response.
9)
If two lines intersect, they are
9)
Answer the question or write an explanation.
10)
Do the points (–1, –4), (7, –18), and (–15, –11) lie on the same line? (Hint: Find the equation
of the line through two of the points).
10)
Provide the proper response.
11)
If two nonvertical lines have the same slope, they are
11)
Answer the question or write an explanation.
12)
Why is the slope of a horizontal line zero? Give an example.
12)
Provide the proper response.
13)
If two nonvertical lines never intersect, what do we know about their slopes?
13)
Answer the question or write an explanation.
14)
Describe a situation in which point–slope form would be more useful than slope–intercept
form.
14)
Provide the proper response.
15)
If two nonvertical lines intersect, what do we know about their slopes?
15)
Answer the question or write an explanation.
16)
What is the common name given to a line with undefined slope whose x–intercept is the
origin?
16)
Provide the proper response.
17)
If a line is horizontal, what is true of any line that is perpendicular to it?
17)
18)
Why is the slope of a horizontal line zero? Give an example.
18)
Answer the question or write an explanation.
19)
Give a definition of slope–intercept form of a line.
19)
20)
Explain the process used to find the equation of a line through two different points.
20)
Provide the proper response.
21)
Give the definition or an example of the word or phrase. Parallel lines
21)
22)
What is wrong with the statement “The line has no slope.”?
22)
Answer the question or write an explanation.
23)
What is wrong with the statement “The line has no slope.”?
23)
24)
Can an equation of a vertical line be written in slope–intercept form? Why or why not?
24)
Provide the proper response.
25)
Give a definition of Slope of a vertical line.
25)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Complete the table of values. Write the results as ordered pairs.
26)
y = – x + 7
x y
2
7
0
26)
A)
(2, 10); (7, 0); (0, 7)
B)
(2, 5); (7, 0); (0, 7)
C)
(2, 5); (7, –3); (0, 7)
D)
(2, 2); (7, 7); (0, 0)
Graph the linear equation.
27)
y + 4 = 0
27)
A)
B)
7
B
C)
D)
Plot the ordered pairs on the rectangular coordinate system provided.
28)
A(–4
3, –2), B(–5, 6)
28)
A)
B)
8
C)
D)
Find the slope of the line through the pair of points.
29)
(–3, 9) and (9, 9)
29)
A)
3
B)
1
C)
15
D)
0
D
Complete the ordered pair for the equation.
30)
y = – 9x – 18 (0, )
30)
A)
(0, –162)
B)
(0, –3)
C)
(0, –18)
D)
(0, –27)
C
Write an equation of the line through the given point with the given slope. Write the equation in slope–intercept form.
31)
(4, 3); m = – 4
31)
A)
y = – 1
4x +19
B)
y = – 4x +19
C)
y = – 4x +1
19
D)
y = – 4x –19
B
Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them.
9
C
32)
x =4y – 7
( , 0), (0, ), , 1
4
32)
A)
7
4, 0 , (0, –7), 29
16 , 1
4
B)
(–7, 0), 0, –7
4, –8, 1
4
C)
(0, 0), (0, 0), 1, 1
4
D)
(–7, 0), 0, 7
4 , –6, 1
4
Complete the graph by shading the correct region.
10
33)
y < – 3
33)
A)
B)
C)
D)
Complete the ordered pair for the equation.
34)
y = – 5x – 36 ( , 0)
34)
A)
(0, 0)
B)
(–36, 0)
C)
(–36
5, 0)
D)
(–5
36 , 0)
Decide whether or not the ordered pair is a solution to the equation.
35)
x + y =10; (5, 5)
35)
A)
Yes
B)
No
Find the slope of the line.
36)
4x – 5y =27
36)
A)
4
5
B)
–5
4
C)
5
4
D)
–4
5
Graph the line through the given point with the given slope.
37)
(0, 5), m =1
6
37)
12
A)
B)
C)
D)
Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them.
38)
y = – x + 1
(0, ), ( , 0), (2, )
38)
13
A)
(0, –1), (1, 0), (2, 1)
B)
(0, 1), (–1, 0), (2, 3)
C)
(0, 1), (1, 0), (2, –1)
D)
(0, –1), (–1, 0), (2, –3)
Graph the linear inequality.
39)
2x – 8 > – 4y
39)
14
A)
B)
C)
D)
Answer the question.
40)
True or False? The ordered pair (–6, –4) determines a point in quadrant III with x–coordinate –4
and y–coordinate –6.
40)
A)
True
B)
False
B
Graph the linear equation.
15
D
41)
x – y = – 5
41)
A)
B)
C)
D)
Plot the ordered pairs on the rectangular coordinate system provided.
16
42)
A(0, –5), B (5, 0)
42)
A)
B)
C)
D)
Write an equation, in slope–intercept form if possible, of the line through the pair of points.
43)
(9, 0) and (1, 3)
43)
A)
y = – 3
8x +27
8
B)
y =3
8x +27
8
C)
y = – 9
2x +15
2
D)
y =9
2x +15
2
Complete the graph by shading the correct region.
44)
–2x – 4y 8
44)
A)
B)
C)
D)
B
A
Decide whether or not the ordered pair is a solution to the equation.
45)
3x + 3y =15; (2, 3)
45)
A)
Yes
B)
No
Solve the problem.
46)
Use the graph to determine how many hours were needed to prepare for Test 3.
46)
A)
5
B)
2
C)
1
D)
3
The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.
47)
How many students are majoring in Math?
47)
A)
300
B)
200
C)
250
D)
150
Solve the problem.
48)
The table lists the average annual cost (in dollars) of tuition and fees at a certain 2–year college for
selected years, where year 1 represents 1992, year 3 represents 1994, and so on. The equation
y =26.83x +1079 can be used to approximate the data. Predict the average annual cost in 2005 to
the nearest dollar.
Year Cost (in dollars)
11064
31159
51227
71266
91320
48)
A)
$1427
B)
$1481
C)
$1508
D)
$1454
Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them.
20