WorksheetsChapter 4 & 5 Study Guide
Total questions: 43
Worksheet time: 4hrs 35mins
Name
Class
Date
1.
The equation y=2x+3 represents the total cost y (in dollars) of mailing a package that weighs x pounds. What is the cost per pound?
a)
2
b)
5
c)
3
d)
not enough info
2.
You have $100 in your savings account and you plan to deposit $12.50 per month. Which equation represents the relationship between months saved (x) and total amount saved (y)?
a)
100=12.50x
b)
12.50x = y
c)
100x + 12.50 = y
d)
12.50x + 100 = y
3.
What is the slope of this line?
a)
3/4
b)
4/3
c)
0/1
d)
1/0
4.
What is the slope of all horizontal lines?
a)
0
b)
undefined
c)
1
d)
-1
5.
The amount y (in dollars) that you raise by selling fundraiser tickets is proportional to the amount of fundraiser tickets you sell (x). Which of the following equations COULD represent this situation?
a)
none of these
b)
y=5x+1
c)
y=5x
d)
y=5x-1
6.
What is the slope of all vertical lines?
a)
0
b)
undefined
c)
1
d)
-1
7.
What is the slope of the line that passes through (2, 4) and (6, 3)
a)
1/4
b)
-1/4
c)
4/1
d)
-4/1
8.
What type of slope does the graph have?
a)
positive
b)
negative
c)
zero
d)
undefined
9.
Write an equation in slope-intercept form for a line that goes through the points (4,6) and (0,5)
a)
6=4x+5
b)
y=1/4x+5
c)
y=-1/4x+5
d)
y=4x+5
10.
What is the slope of the line that passes through these points?
a)
1
b)
1/2
c)
2/1
d)
0
11.
What is the y-intercept of the line that passes through these points?
a)
0
b)
1
c)
there isn't one
d)
(0,1)
12.
Does this graph represent a proportional relationship?
a)
Yes, because it's positive.
b)
Yes, because it doesn't go through the origin.
c)
No, because it's negative.
d)
No, because it doesn't go through the origin.
13.
Which of the following equations represents a proportional relationship?
a)
y=10-x
b)
y=3x2
c)
y=10x
d)
y=1/2x+5
14.
The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak. It costs $27 to rent the kayak for 3 hours. Which equation represents the relationships between total cost and number of hours rented.
a)
27=3x
b)
x=9
c)
y=9x
d)
y=x+9
15.
Which of the following equation is parallel to y=3x+2
a)
y=3x
b)
y=x+2
c)
y=-1/3x+2
d)
not enough info
16.
What is the slope of the line y=2x-1
a)
1
b)
2
c)
-1
d)
-2
17.
What is the slope of the line y=2.
a)
2
b)
zero
c)
undefined
d)
not enough info
18.
The equation y=x+5 can be used to find your total amount spent (y) after riding x rides. What is the cost per ride?
a)
1
b)
0
c)
5
d)
not enough info
19.
The equation y=10x-5 represents the total spent (y) after buying x books. What is the y-intercept and what could it mean?
a)
10; the cost per book
b)
5; a membership fee
c)
-5; a coupon
d)
-5; an additional fee
20.
Convert 2x+4y=12 into slope-intercept form.
a)
y=-2x+3
b)
4y=-2x+12
c)
not listed
d)
y=-1/2x+3
21.
A skydiver parachutes to the ground. The height y (in feet) of the skydiver after x seconds is y=-10x+3000. How fast is the skydiver descending?
a)
10 feet per second
b)
10 seconds per foot
c)
3000 feet per second
d)
3000 seconds per foot
22.
A skydiver parachutes to the ground. The height y (in feet) of the skydiver after x seconds is y=-10x+3000. How many feet above the ground will be be after 12 seconds?
a)
3120 feet
b)
2880 feet
c)
120 feet
d)
2988 feet
23.
A skydiver parachutes to the ground. The height y (in feet) of the skydiver after x seconds is y=-10x+3000. How long will it take her to be 500 feet above the ground?
a)
250 seconds
b)
50 seconds
c)
300 seconds
d)
6 seconds
24.
What is the y-intercept of the equation y=4x
a)
4
b)
(0,4)
c)
0
d)
(0,0)
25.
Write an equation in slope intercept form for the following graph.
a)
y=3x+5
b)
y=-2/3x
c)
y=-2/3x+5
d)
y=-3/2x+5
26.
Write an equation in slope-intercept form for the following graph.
a)
y=120x+2
b)
y=1x+0
c)
y=60x
d)
y=x+60
27.
You have $500 in your savings account. You deposit the same amount each month. After three month, you have $725 in your account. Which equation represents the relationship between your total amount saved (y) and total months (x)?
a)
725=500+3x
b)
75x=y
c)
75x+500=725
d)
none listed
28.
You have $100 in your savings account. You deposit the same amount each month. After five months, you have $350 in your account. Which equation represents the relationship between your total amount saved (y) and total months (x)?
a)
350=100+5x
b)
y=100+5x
c)
y=100+50x
d)
350=100+50x
29.
Which of the following steps is the appropriate way to graph the equation y=-1/3x?
a)
Plot a point a -3 on the y-axis, then go down one and right one.
b)
Plot a point at -1 on the y-axis, then go up three.
c)
Plot a point at the origin, then go up one and left three.
d)
Plot a point at the origin, then go down 1/3 and left one.
30.
Which of the following steps is the appropriate way to graph the equation y=2x+1?
a)
Plot a point at (0,1), then go up two and right one.
b)
Plot a point at (1,0), then go up two and right one.
c)
Plot a point at (0,1), then go up two.
d)
none listed
31.
Solve the system of linear equations (by graphing or by substitution).
y=x-1 y=-x+3
y=x-1 y=-x+3
a)
(2,1)
b)
(1,2)
c)
(0,-1)
d)
(1,0)
32.
Solve the system of linear equations (by graphing or by substitution).
y=-5x+14 y=x-10
y=-5x+14 y=x-10
a)
(4,-6)
b)
(6,-4)
c)
(4,34)
d)
none listed
33.
Solve the system of linear equations (by graphing or by substitution).
x-y=7 0.5x+y=5
x-y=7 0.5x+y=5
a)
(8,1)
b)
(8,-1)
c)
(4,3)
d)
(4,-3)
34.
Solve the system of linear equations (by graphing or by substitution).
x=y-17 y=4x+2
x=y-17 y=4x+2
a)
(5,22)
b)
(3,13)
c)
(22,5)
d)
(6.33...,-10.66...)
35.
A company's total cost is determined by the equation C=15x+150. Its revenue is determined by the equation R=45x. Find the break-even point in terms of x items sold.
a)
After 5 items sold, the company will have taken in zero dollars in revenue.
b)
After 5 items sold, the company will have made zero profit.
c)
After 3 items sold, the company will have taken in zero dollars in revenue.
d)
After 3 items sold, the company will have made zero dollars profit.
36.
The cost C (in dollars) for the care and maintenance of a horse and carriage is C=15x+2000, where x is the number of rides. They charge $35 per ride. How many rides are needed to break even?
a)
Approximately 57
b)
133.333
c)
100
d)
40
37.
You have a total of 42 math and science problems. You have 10 more math problems than science problems. How many problems do you have in each subject?
a)
26 Math and 16 Science because M+S=42 and 10+M=S
b)
26 Science and 16 Math because M+S=42 and 10+S=M
c)
26 Math and 16 Science because M+S=42 and 10+S=M
d)
26 of one and 16 of the other but no way to figure which is which.
38.
There are a total of 125 cats and dogs. There are 5 more cats than dogs. Which system of linear equations could be used to find the number of cats and dogs?
a)
C+D=125
5+C=D
5+C=D
b)
C+D=125
5+D=C
5+D=C
c)
C+D=125
C-D=5
C-D=5
d)
C+D=125
D-5=C
D-5=C
39.
At a concessions window, candy bars are sold for $1 each and drinks are sold for $2 each. If 100 items were sold altogether and $132 was earned, which of the systems of linear equations could be used to find how many drinks (x) and candy bars (y) were sold.
a)
x+y=132
2x+y=100
2x+y=100
b)
x+y=100
2x+y=132
2x+y=132
c)
x+y=100
x+2y=132
x+2y=132
d)
none listed
40.
There are 75 people on a bus. There are 7 more girls than boys. Write and solve a systems of linear equations to determine how many boys and girls are on the bus.
a)
68 girls and 7 boys
b)
34 girls and 41 boys
c)
41 girls and 34 boys
d)
41 boys and 48 girls
41.
What is the solution to the system of linear equations?
a)
y=x+1
b)
y=2x
c)
(1,2)
d)
(2,1)
42.
Which of the following equations has a solution of (0.5, 2)
a)
y=6x-5
b)
1.5+x=y
c)
y=1.5x
d)
y=-6x-1
43.
Which of the following systems has a solution of (12,15)?
a)
x+y=27
y=x+3
y=x+3
b)
y=x+12
y=x+15
y=x+15
c)
y=12x
y=15x
y=15x
d)
y=x+3
y=-2x+9
y=-2x+9
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