Math 0104 Test 2 REVIEW
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.
1) How many more students are majoring in english than in history?
A) 300
B) 200
C) 100
1)
D) 150
Complete the table of values. Write the results as ordered pairs.
2) 2x - 5y = -10
x
y
2
0
4
A) (0, 2); (5, 0); (-5, 4)
C) (0, 2); (-5, 0); (5, 4)
B) (10, 2); (-5, 0); (5, 4)
D) (10, 2); (5, 0); (-5, 4)
3) y + 6 = 0
x
-3
4
6
2)
3)
y
A) (-3, 3); (4, 10); (6, 12)
C) (-3, 18); (4, -24); (6, -36)
B) (-3, -6); (4, -6); (6, -6)
D) (-3, -9); (4, -2); (6, 0)
Answer the question.
4) True or False? The ordered pair (-9, -2) determines a point in quadrant III with x-coordinate -2
and y-coordinate -9.
A) True
B) False
1
4)
Complete the table of values. Write the results as ordered pairs.
5) y = -9
x
-9
4
6
5)
y
A) (-9, 81); (4, -36); (6, -54)
C) (-9, -18); (4, -5); (6, -3)
B) (-9, -9); (4, -9); (6, -9)
D) (-9, 0); (4, 13); (6, 15)
Decide whether or not the ordered pair is a solution to the equation.
6) y = -6; (-4, 3)
A) Yes
B) No
Find the intercepts for the graph of the equation.
7) -3x + y = 9
B) (0, -2); (0, 3)
A) (9, 3); (-2, 9)
6)
7)
C) (-2, 0); (3, 0)
D) (- 3, 0); (0, 9)
Answer the question.
8) True or False: The graph of the equation 3x - 5y = 13 goes through (15, 7)
A) False
B) True
8)
9) True or False: The graph of the equation x - 2y = 8 goes through (5, 1)
A) True
B) False
Find the intercepts for the graph of the equation.
10) -4x + 3y = 0
A) (0, 0); (0, 0)
B) (0, -2); (0, -8)
10)
C) (-2, 0); (-8, 0)
D) (0, -8); (-2, 0)
11)
11) x + y = -3
A) (0, -2); (0, -1)
C) (-2, 0); (-1, 0)
12) x + y = 5
A) (3, 0); (2, 0)
9)
B) (-3, -1); (-2, -3)
D) (-3, 0); (0, -3)
12)
B) (0, 3); (0, 2)
C) (5, 2); (3, 5)
Answer the question.
13) True or False: The graph of the equation y = -8 is a horizontal line.
A) True
B) False
2
D) (5, 0); (0, 5)
13)
Cost (hundreds of dollars)
Solve by graphing.
14) The cost y (in hundreds of dollars) of tuition at one community college is given by the linear
equation y = 1.25x + 2, where x is the number of credits for which a student registers. Graph the
equation and use the graph to estimate the cost of tuition if a student registers for 8 credits.
24
22
20
18
16
14
12
10
8
6
4
2
14)
y
1 2 3 4 5 6 7 8 9 10 11 12 x
Number of Credits
A) $1000
Find the slope of the line.
15) 3x - 4y = 17
4
A)
3
B) $2200
C) $1800
D) $1200
15)
B) - 4
3
C)
3
4
D) - 3
4
Find the slope of the line through the pair of points.
1
4
1
3
16) - , - and , - 6
7
6
7
A)
6
7
Find the slope of the line.
17) -5y = -3x - 21
3
A)
5
B)
16)
7
6
C)
3
7
D)
7
12
17)
5
B)
3
5
C) - 3
3
3
D) - 5
Use the coordinates of the indicated points to find the slope of the line.
18)
18)
y
10
5
-10
-5
5
10
x
B) - 1
3
C) 3
D)
2
B) - 3
3
C)
2
2
D)
3
-5
-10
A) -3
Find the slope of the line.
19) 2x - 3y = -16
3
A) - 2
1
3
19)
Use the coordinates of the indicated points to find the slope of the line.
20)
20)
y
10
5
-10
-5
5
10
x
-5
-10
A) - 7
4
B) -2
Find the slope of the line through the pair of points.
21) (-4, -2) and (7, 3)
1
5
B) - A)
2
11
C) 0
D) undefined
C) - 2
11
D)
5
21)
4
Match the equation with the graph that would most closely resemble its graph.
22) y = x - 4
A)
B)
y
22)
y
x
x
C)
D)
y
y
x
x
Solve the problem.
23) It costs $44 per hour plus a flat fee of $30 for a plumber to make a house call. Use an equation to
find the number of hours a plumber worked if the total cost was $338.
A) 4 hr
B) 7 hr
C) 13 hr
D) 16 hr
23)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Answer the question or write an explanation.
24) What is the common name given to a horizontal line whose y-intercept is the origin?
24)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Write an equation, in slope -intercept form if possible, of the line through the pair of points.
25) (5, 9) and (1, -8)
4
68
4
68
17
49
17
49
A) y = - x - B) y = x - C) y = x - D) y = - x - 9
9
9
9
4
4
4
4
Solve the problem.
26) A cable TV company charges $29 for the basic service plus $5 for each movie channel. Let y be the
total cost in dollars of subscribing to cable TV, using x movie channels. Find the slope-intercept
form of the equation.
D) y = 29x + 5
A) y = 5x - 29
B) y = 29x - 5
C) y = 5x + 29
5
25)
26)
Match the equation with the graph that would most closely resemble its graph.
27) y = x + 6
A)
B)
y
27)
y
x
x
C)
D)
y
y
x
x
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Answer the question or write an explanation.
28) What is wrong with the statement ʺThe line has no slope.ʺ?
28)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
29) Let x represent the number of gallons of gas sold at $ 2.10 per gallon, and let y represent the total
cost of the gasoline (in dollars). Use an equation to find the cost of 11 gallons of gasoline.
A) $8.90
B) $5.24
C) $23.10
D) $13.10
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Answer the question or write an explanation.
30) Why is the slope of a horizontal line zero? Give an example.
6
30)
29)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Write the equation of the line with the given slope and y -intercept.
31) slope 7;
y-intercept (0, -5)
A) y = 7x + 5
B) y = 5x + 7
C) y = -5x + 7
32) slope -4;
y-intercept (0, 3)
A) y = -4x + 3
31)
D) y = 7x - 5
32)
B) y = 3x - 4
C) y = 4x + 3
D) y = -4x - 3
Graph the equation by finding the slope and y -intercept.
33) y = 2x - 4
33)
y
10
5
-10
-5
5
10
x
-5
-10
A)
B)
y
-10
y
10
10
5
5
-5
5
10
x
-10
-5
-5
-5
-10
-10
C)
5
10
x
5
10
x
D)
y
-10
y
10
10
5
5
-5
5
10
x
-10
-5
-5
-5
-10
-10
7
Write an equation of the line through the given point with the given slope. Write the equation in slope -intercept form.
34) (4, 5); m = - 3
34)
1
1
C) y = -3x - 17
D) y = -3x + A) y = -3x + 17
B) y = - x + 17
3
17
35) (-6, -6) , m = 2
3
3
A) y = x - 2
2
35)
2
B) y = - x + 2
3
2
C) y = x + 2
3
8
2
D) y = x - 2
3
Answer Key
Testname: MATH 0104 TEST 2 REVIEW
1) C
2) C
3) B
4) B
5) B
6) B
7) D
8) A
9) B
10) A
11) D
12) D
13) A
14) D
15) C
16) C
17) A
18) C
19) D
20) C
21) A
22) B
23) B
24) The x-axis
25) C
26) C
27) A
28) It is not specific. The slope of a horizontal line is 0; the slope of a vertical line is not defined.
29) C
30) Answers will vary.
31) D
32) A
33) B
34) A
35) D
9