Download 1) Robin`s job as a telemarketer pays $6 per hour, plus $0.25 for

Exam
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
1)
Robin's job as a telemarketer pays $6 per hour, plus $0.25 for each person she
keeps on the phone for over 2 minutes. Her hourly wage is given by
y = 6 + 0.25x, where x is the number of people staying on the phone for over 2
minutes in a one hour span. Find the ordered pair corresponding to x = 19 and
interpret its meaning in the context of this problem.
1)
2)
Graph the line by making a table of ordered pairs and plotting the points.
3x + 2y = -11.
2)
3)
Find the x- and y-intercepts, and use them to sketch the graph.
2x + 7y = 140
3)
4)
The table below illustrates the relationship between the amount of revenue
generated by a hot dog vendor and the number of hot dogs he sold each day last
week:
4)
# sold
revenue ($)
32
49.60
37
57.35
24
37.20
47
72.85
32
49.60
22
34.10
34
52.70
Write a linear equation that computes the revenue (R) in terms of hot dogs sold (s).
5)
After purchase, the value of a new car starts to decline. The value of Manny's car
is given by the table below. Plot the corresponding data points on a rectangular
coordinate system.
5)
Years since purchase (x)
0
1
2
3
4
5
Value in dollars ($)
23,000 17,000 14,500 13,000 10,000 7,000
6)
Sketch the graph of the equation.
4x + y = -4
6)
7)
The average attendance, A, at a minor league baseball park can be modeled by the
equation
A = 30w + 6,000
where w is the number of games the team won the previous year. Find the slope
and interpret its meaning in the context of this problem.
7)
8)
Consider the question "In which quadrant does the point (0, -11) lie?". Explain
why the correct answer is "none of them".
8)
1
9)
Complete the table of points for the equation 3x - 5y = 8. (If answers are
decimals, round to one decimal place.)
x
0
9)
y
0
6
10)
Find the slope and y-intercept, and use them to sketch the graph.
y = -4x + 21
10)
11)
Solve the system using the substitution method.
x = 4y + 29
2y + x = -1
11)
12)
Solve the system using the addition method.
4x + 5y = -11
-4x + 9y = 25
12)
13)
Graph the inequality.
2
1
11
y- x
5
3
4
13)
14)
The sum of two numbers is 72, and their difference is 24. Find the two numbers.
14)
15)
Saul works two part-time jobs. Last week, he worked 12 hours at a shoe store,
and 10 hours as a telemarketer. His total pay was $163.20. The week before, he
made $222.10 for 17 hours at the shoe store and 13 hours telemarketing. Find his
hourly wage for each job.
15)
16)
Find the slope and y-intercept of the equation.
y + 19 = -5x
16)
17)
Write the linear equation in slope-intercept form.
20x - y = 49
17)
18)
Sketch the region bounded by the inequalities.
15x + 45y > 150
y 0
18)
2
19)
Use the point-slope formula to write an equation of the line through the points
16
, 0 and (16, 5).
3
19)
20)
A bulk store has two types of mixed nuts: One is 60% peanuts, and the other is
35% peanuts. One customer, who is 100% nuts, insists that he can only eat a mix
that is exactly half peanuts. How many pounds of each type should be mixed to
get 5 pounds of the desired mixture?
20)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
21)
21)
A horizontal line has _________ slope.
A) positive
B) negative
C)
D)
undefined
zero
22)
The average attendance, A, at a minor league baseball park can be modeled by the
equation
A = 30w + 6,000
where w is the number of games the team won the previous year. What will the average
attendance be next year if the team wins 61 games this year?
A) 5939
B) 8440
C) 7830
D) 4170
22)
23)
Find the x- and y-intercepts.
y = 9x + 26
23)
A)
C)
B) x-intercept:
x-intercept: (26, 0)
26
y-intercept: 0, 9
x-intercept: -
y-intercept: (0, -26)
26
,0
9
D)
y-intercept: (0, 26)
24)
26
,0
9
x-intercept: (0, -26)
26
y-intercept:
,0
9
Find the equation of the line through the point (0, 8) that is perpendicular to the line
connecting the points (1, 5) and (-6, 40). Write your answer in slope-intercept form.
1
1
A) y = - x + 8
B) y = 5x + 8
C) y = -5x - 8
D) y = x + 8
5
5
3
24)
25)
The graph below illustrates the linear relationship between the value of an SUV and time
(in years) since it was purchased.
25)
Write an equation that computes the value (V) in terms of the number of years after
purchase (t).
A) V = 0.25t + 30,000
B) V = -3,750t + 33,750
C) V = 3,750t - 30,000
D) V = -3,750t + 30,000
26)
Write the equation of the line through (49, 32) that is parallel to the x-axis.
A) y = -x + 32
B) y = x + 32
C) y = 32
D) x = 49
27)
Use the point-slope formula to write an equation of the line with slope y-intercept 0,
A)
28)
y=-
1
and
3
26)
27)
6
.
5
6
1
x+
3
5
B) x =
-
6
1
y+
3
5
C)
y=-
6
1
x3
5
Find the slope of the line connecting the points (-1, 6) and (-1, 11).
A) m = 0
B) undefined
C) m = 1.7
D)
y=-
6
1
x+
3
5
28)
D)
m=5
29)
Determine if the given ordered pair is a solution to the equation.
7x - y = 5; (-9, -68)
A) no
B) yes
29)
30)
Line A goes through the points (0, 3) and (-6, 21). Line B goes through the points
(4, -6) and (6, -12). Are the two lines parallel, perpendicular, or neither?
A) neither
B) perpendicular
C) parallel
30)
4
31)
A very, very hungry guy goes to a fast food place and orders 2 burgers and 3 tacos, at a
total cost of $6.50. Three days later, he's ready to eat again. This time, he buys 5
burgers and 1 tacos, at a total cost of $10.40. Find the cost of one burger, and the price
of one taco.
A) Burger: $2.00; Taco: $3.00
B) Burger: $1.60; Taco: $1.00
C) Burger: $1.90; Taco: $0.90
D) Burger: $2.30; Taco: $0.70
31)
32)
Graph the inequality.
x < 4y – 8
32)
A)
B)
C)
D)
33)
At one store, 5 pairs of jeans and 2 sweatshirts costs $213, while 3 pairs of jeans and 4
sweatshirts costs $195. Find the cost of one sweatshirt.
A) $35
B) $33
C) $21
D) $24
33)
34)
Solve the system using the addition method.
5x - 8y = 4
10x = 16y + 8
A) (5, 8)
C) {(x, y): 5x - 8y = 4}
34)
B) There
is no solution.
(0,
-0.5)
D)
5
35)
Determine if the given point is a solution to the system.
5y = 19 - 6x (-4, 1)
6y = -10 + x
A) yes
B) no
36)
Find x so that (x, -16) is a solution to 2x + 3y = 12.
A) x = 30
B) x = -36
C) x = 60
37)
35)
36)
D)
x = -18
Graph the line through the point (-1, 2) having slope -1.
A)
B)
C)
D)
37)
38)
How much 12% acid solution must be added to 9 gallons of a 5% acid solution to get a
mixture that is 7% acid?
A) 4.9 gallons
B) 3.2 gallons
C) 3.6 gallons
D) 4.3 gallons
38)
39)
Point A is 12 units to the right of, and 19 units lower than, point B. Find the slope of the
line connecting points A and B.
12
19
19
A) B)
C) D) -7
19
12
12
39)
6
40)
After not studying hard enough and losing his academic scholarship, Mark needs to
borrow money from 2 different banks to pay his tuition. Bank Seven charges 12%
simple interest, while First Collegiate Bank charges 10%. Mark had to borrow twice as
much from Bank Seven as he did from First Collegiate Bank. After one year, the
combined interest he owed was $714. How much did Mark borrow in total?
A) $4200
B) $6300
C) $2600
D) $2100
7
40)
Answer Key
Testname: TEST2REVIEW2
1)
(19, 10.75); if she keeps 19 customers on the phone for over 2 minutes in a one hour time span, she'll
make $10.75.
2)
3)
x-intercept: (70, 0)
y-intercept: (0, 20)
4)
R = 1.55s
8
Answer Key
Testname: TEST2REVIEW2
5)
6)
7)
m = 30; The team will average an extra 30 fans for each additional win.
8) The point lies on the y-axis, and points on one of the coordinate axes are not in any of the four quadrants.
x
y
0
-1.6
9)
2.7
0
6
2
9
Answer Key
Testname: TEST2REVIEW2
10)
Slope: -4
y-intercept: (0, 21)
11)
(9, -5)
12) (-4, 1)
13)
14)
24 and 48
15) Shoe store: $7.10 Telemarketing: $7.80
16) slope = -5; y-intercept = (0, -19)
17) y = 20x - 49
10
Answer Key
Testname: TEST2REVIEW2
18)
5
15
x32
2
19)
y=
20)
21)
22)
23)
24)
25)
26)
27)
28)
29)
30)
31)
32)
33)
34)
35)
36)
37)
38)
39)
40)
2 pounds of the 35% mix; 3 pounds of the 60% mix
D
C
C
D
D
C
D
B
B
C
C
D
D
C
B
A
C
C
C
B
11