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Math 111 AA - Practice Test 3
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
State in which quadrant, if any, the point lies.
1) (-11, -7)
1)
2) (-9, 0)
2)
The bar graph shows the number of tickets sold each week by the garden club for their annual flower show. Use the
graph to answer the question.
3) During which week were the fewest number of tickets sold?
3)
4) During which week was the most number of tickets sold?
4)
5) How many tickets were sold during week 4?
5)
6) How many more tickets were sold during week 4 than week 6?
6)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether the ordered pair is a solution of the given linear equation.
7)
7) x = -5y; (-4, 20)
A) yes
B) no
8)
8) x = -y; (11, -11)
B) yes
A) no
1
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Complete the ordered pair so that it is a solution of the given linear equation.
9) y = -3x - 24;
(-9,
10) x + y = -10
), (-24,
), (0,
)
9)
( , -2), ( , 0), ( , -10)
10)
Graph the linear equation.
11) -x = 5y + 4
11)
y
10
5
-10
-5
5
10
x
-5
-10
12) 9x = y + 6
12)
y
10
5
-10
-5
5
10
x
-5
-10
13) 5y + 10x = 20
13)
y
10
5
-10
-5
5
10
x
-5
-10
2
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Match the equation with its graph.
14) y = 4x + 6
14)
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
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Solve.
15) A study of grocery buying habits in a particular region stated that for the years
2001 - 2005, the annual number of new family-run grocery stores can be estimated by the
equation y = -180x + 2706, where x is the number of years after 2000. Graph this equation
and use the graph to predict the number of family-run stores that will start up in 2008.
New Family-Run Stores in Year
3500
3000
2500
2000
1500
1000
500
1 2 3 4 5 6 7 8 9 10 11
Years after 2000
3
15)
Determine whether the equation is a linear equation in two variables.
16) 2.5x + 4.1y = 6.2
16)
Graph the linear equation by finding x- and y- intercepts.
17) y = 4x
17)
y
10
5
-10
-5
5
x
10
-5
-10
Graph the linear equation.
18) x = -5
18)
y
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
-1
1
2
3
4
6 x
5
-2
-3
-4
-5
-6
Graph the linear equation by finding x- and y- intercepts.
19) 2x - 10y = 0
19)
y
10
5
-10
-5
5
10
x
-5
-10
4
Graph the linear equation.
20)
20) x = 4
6
y
5
4
3
2
1
-6 -5 -4 -3 -2 -1
-1
1
2
3
4
5
6 x
-2
-3
-4
-5
-6
21) y + 2 = 0
21)
6
y
5
4
3
2
1
-6 -5 -4 -3 -2 -1-1
1
2
3
4
5
6 x
-2
-3
-4
-5
-6
Identify the intercepts.
22)
22)
y
10
5
-10
-5
5
10
x
-5
-10
5
Graph the linear equation by finding x- and y- intercepts.
23) 10y - 2x = -4
23)
y
10
5
-10
-5
5
x
10
-5
-10
Graph the linear equation.
24) y = -3
24)
6
y
5
4
3
2
1
-6 -5 -4 -3 -2 -1-1
1
2
3
4
5
6 x
-2
-3
-4
-5
-6
Find the slope of the line and write the slope as a rate of change. Don't forget to attach the proper units.
25) The graph shows the total cost y (in dollars) of owning and operating a mini-van where x
is the number of miles driven.
25)
y
10000
8000
6000
4000
2000
(8000, 421.1)
(4000, 210.5)
5000
10000 15000
20000
25000
x
Find the slope of the line that goes through the given points.
26) (-8, -9) and (-11, -16)
26)
6
Determine whether the lines through the pairs of points are parallel, perpendicular, or neither.
27) (3, 6) and (7, 8); (0, 3) and (2, 4)
27)
Solve.
28) The approach ramp used by a daredevil motorcyclist for flying over a collection of flaming
barrels of oil has a rise of 24 feet for every 40 feet in horizontal distance. Find the grade of
the ramp. Round to the nearest whole percent.
28)
29) The pitch of a roof is its slope. Find the pitch of the roof shown.
29)
8 feet
12 feet
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
30) An inclined walkway leading to a new building is to rise 6 inches for each horizontal distance of 20
feet. Write this slope as a grade. (Round to the nearest tenth of a percent if necessary.)
A) 2.5%
B) 4000%
C) 30%
D) 333.3%
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Find the slope of the line that goes through the given points.
31) (9, 2) and (5, -4)
31)
Find the slope of the line if it exists.
32)
32)
y
10
5
-10
-5
5
10
x
-5
-10
Determine whether the lines through the pairs of points are parallel, perpendicular, or neither.
33) (3, 1) and (5, 2); (-1, -5) and (1, -6)
33)
Find the slope of the line.
34) y = -5
34)
7
30)
Answer Key
Testname: TEST3-PRACTICE
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
III
x-axis
week 2
week 4
59 tickets
40 tickets
B
B
(-9, 3) (-24, 48) (0, -24)
(-8, -2), (-10, 0), (0, -10)
y
10
5
-10
-5
5
10
x
5
10
x
5
10
x
-5
-10
12)
y
10
5
-10
-5
-5
-10
13)
y
10
5
-10
-5
-5
-10
14) D
8
Answer Key
Testname: TEST3-PRACTICE
15) 1266 stores
New Family-Run Stores in Year
3500
3000
2500
2000
1500
1000
500
1 2 3 4 5 6 7 8 9 10 11
Years after 2000
16) yes
17) (0, 0)
y
10
5
-10
-5
5
x
10
-5
-10
18)
6
y
5
4
3
2
1
-6 -5 -4 -3 -2 -1-1
1
2
3
4
5
6 x
-2
-3
-4
-5
-6
9
Answer Key
Testname: TEST3-PRACTICE
19) (0, 0)
y
10
5
-10
-5
5
x
10
-5
-10
20)
6
y
5
4
3
2
1
-6 -5 -4 -3 -2 -1
-1
1
2
3
4
5
6 x
1
2
3
4
5
6 x
-2
-3
-4
-5
-6
21)
6
y
5
4
3
2
1
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
22) (1, 0), (0, 4)
10
Answer Key
Testname: TEST3-PRACTICE
23) (0, -
2
), (2, 0)
5
y
10
5
-10
-5
5
x
10
-5
-10
24)
6
y
5
4
3
2
1
-6 -5 -4 -3 -2 -1-1
1
2
3
4
5
6 x
-2
-3
-4
-5
-6
25) $0.05 per mile
7
26)
3
27) parallel
28) 60%
2
29)
3
30) A
3
31)
2
32) undefined slope
33) neither
34) m = 0
11