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WorksheetsFinal Exam Review 2021
Total questions: 71
Worksheet time: 5hrs 29mins
Name
Class
Date
1.
Find the constant slope of the line.
a)
-2
b)
2
c)
-1
d)
1
2.
Find the constant slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
3.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
4.
What is the y-intercept of the equation:
y = 2x - 3
y = 2x - 3
a)
-2
b)
2
c)
3
d)
-3
5.
Find the slope of the line that passes through
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
6.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
7.
What is the y-intercept?
y = 6x - 4
y = 6x - 4
a)
6/1
b)
1/6
c)
-4
d)
4
8.
What is the slope?
y = 1/2x + 3
y = 1/2x + 3
a)
3
b)
-3
c)
1/2
d)
-1/2
9.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
10.
Determine the slope and y-intercept. y = 3/2x + 3
a)
slope: 5 y-intercept: (0,3)
b)
slope: 3/2 y-intercept: (0,3)
c)
slope: 4 y-intercept: (0,3/2)
d)
slope: 1/5 y-intercept: (0,5)
11.
Write the equation of the line.
a)
y=(3/5)x+1
b)
y=(3/5)x-1
c)
y=(5/3)x+1
d)
y=(3/5)x+1
12.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=(1/4)x+3
d)
y= -4x+3
13.
What is the equation of the line?
a)
y=3x
b)
y=3
c)
x=3
d)
y=-3
14.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
15.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
16.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
17.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
18.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
19.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
20.
Find the value of y when x = 2.
a)
2
b)
6
c)
7
d)
8
21.
Find slope:
a)
m= 4
b)
m=1/4
c)
m=-4
d)
m=-1/4
22.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
23.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
24.
Which panda is growing faster?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
25.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service. Which service is cheaper for 8 movies in one month?
a)
Beth's service ($38 vs. $40) is cheaper
b)
Nate’s service ($42 vs. $44) is cheaper
c)
Nate’s service ($38 vs. $40) is cheaper
d)
Beth's service ($42 vs. $44) is cheaper
26.
Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?
a)
y = 425x + 600
b)
y = 425 + 600x
c)
y = 400x + 625
d)
y = 400 + 625x
27.
What is the rate of change (slope) to rent a raft from Ryan's Rafts?
a)
$15 per hour
b)
$2.25 per hour
c)
$17.25 per hour
d)
$1 per hour
28.
Compare the rates of change. Which statement is true about equations A and B?
a)
They have the same rate of change
b)
A has a greater rate of change than B
c)
A and B both have negative rates of change
d)
A has a negative ROC and B has a positive ROC
29.
Who weighed more at the beginning of the show?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They weighed the same
30.
Who is losing weight faster?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They are losing the same amount of weight
31.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
a)
200
b)
150
c)
300
d)
75
32.
Which equation matches the table?
a)
y=2x
b)
y=x-3
c)
y=x+2
d)
y=1/2x
33.
Write the equation 4x + 2y = -12 in slope-intercept form.
a)
y = -2x - 6
b)
y = 2x - 6
c)
y = -2x + 6
d)
y = 2x - 6
34.
The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?
a)
C = 0.20x + 15
b)
C =15 (0.20x)
c)
C = 15 + x + 0.20
d)
C = 0.20 + 15x
35.
Margaret is a waitress at The Seafood Bonanza. She earns $3 an hour plus 90% of her tips. Write an equation for her salary, S, if she works h hours and earns d dollars in tips.
a)
3h + 0.90d = S
b)
S = 90d + 3h
c)
S = 3d + 90h
d)
S = 3h + 9.0d
36.
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.
a)
h = 2C + 15
b)
C = 15h + 2
c)
h = 15C + 2
d)
C = 2h + 15
37.
A golf course charges $15 to rent golf clubs and charges $25 per round to play. Write an equation to represent the total cost, T, for one player.
a)
T = 15 + 25r
b)
T = 15g + 25r
c)
T = 40 r
d)
T = 15r + 25
38.
Bob has $150 in his savings account and saves $40 per month. Which equation models his savings?
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
39.
A man is climbing down from 100 feet high descending 30 feet per minute. Which equation models his descent?
a)
y = 100 - 30x
b)
y = 100 + 30x
c)
y = 100x + 30
d)
y = 100x - 30
40.
Morgan has $263.49 in her bank account. She babysits two days each week. Each time she babysits she earns $36. She deposits all the money she earns into her bank account at the end of the week. Which linear equation below best models the relationship between the total amount of money in Morgan's bank account(T) and the number of weeks(w) that have passed?
a)
T = 72w + 263.49
b)
T = 36w + 263.49
c)
T = 263.49w + 36
d)
w = 72T + 263.49
41.
A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $1.50 off an order. Since the donut shop has gained popularity they have changed their coupon which now provides a discount of only half their original coupon's value. What is the equation that represents the value of a customer's order who uses the new coupon with their order?
a)
y = 6.50x - 0.75
b)
y = 6.50x + 0.75
c)
y = 6.50x - 1.50 - 0.75
d)
y = 5x - 0.75
42.
Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?
a)
y = 5 + 12x
b)
y = 12x
c)
y = 7x + 5
d)
y = 12x + 12
43.
Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?
a)
y = 425x + 600
b)
y = 425 + 600x
c)
y = 400x + 625
d)
y = 400 + 625x
44.
Michelle and her husband want to go skydiving! The equation, f(x) = 12000 - 125x, represents the height (in feet) of the skydivers, f(x), after x seconds of falling. Michelle and her husband are adrenaline junkies so they have asked to increase the starting jump height by 500 feet and will deploy their parachute late which will change their falling speed to 200 feet per second. What equation represents these changes?
a)
y = 12000 - 200x
b)
y = 12500 + 75x
c)
y = 12500 - 200x
d)
y = 12200 - 625x
45.
Conner has $25,000 in his bank account. Every month he spends $1,500. He does not add money to the account.
Write a linear model that shows how much money will be in the account after x months.
a)
y=25000x-1500
b)
y=25000+1500
c)
y=1500x+25000
d)
y=-1500x+25000
46.
Jeff has already read 50 pages of his book. In 10 minutes he can read 8 pages. If p represents the total number of pages he has read and m represents the number of minutes he reads, then which equation best models this situation? If the book is 225 pages, will he finish the book in 3 hours?
a)
p = 4.2m + 50 and yes
b)
p = 1.25m + 50 and yes
c)
p = 0.8m + 50 and no
d)
p = 4.2m + 50 and no
47.
Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.
a)
15x + 3x = 99 and 6 movies
b)
15x + 3 = 99 and 6 movies
c)
3x + 15 = 99 and 28 movies
d)
3x + 99 = 15 and 28 movies
48.
A waitress ears $100 every week plus tips from customers. She can only keep 75% of the tips that she earns each week. Which linear function below best models the relationship between the amount of money the waitress earns(M) and the amount of tips(t) she receives? How much money would she earn in a week if she receives $252 in tips?
a)
M = 0.75t + 100 and $289
b)
M = 0.75t + 100 and $189
c)
M = 75t + 100 and $289
d)
M = 100t + 75 and $25,275
49.
The __ - axis is horizontal.
a)
X
b)
Y
c)
Z
d)
None of the above
50.
The __ - axis is vertical.
a)
X
b)
Y
c)
Z
d)
None of the above
51.
The point (0,0) at which the X and Y axis intersect on the coordinate plane is called the _______________.
a)
Graph
b)
Axis
c)
Quadrant
d)
Origin
52.
The legs of the triangle are 8 inches and 6 inches. What is the length of the hypotenuse?
a)
2 inches
b)
9 inches
c)
10 inches
d)
12 inches
53.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
54.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
55.
Side a on a right triangle is ALWAYS the longest side.
a)
true
b)
false
56.
The Pythagorean Theorem is
a2 + b3 = c4
a2 + b3 = c4
a)
false
b)
true
57.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
58.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
59.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
60.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
61.
A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?
a)
7.5 in
b)
12.4 in
c)
13.6 in
d)
14.3 in
62.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
63.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
4, 5, 6
a)
Yes
b)
No
64.
What is the longest side of a right triangle?
a)
Legs
b)
Hypotenuse
c)
Long Side
d)
Short side
65.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
66.
Side c on a right triangle is ALWAYS the longest.
a)
true
b)
false
67.
Sides a and b are called legs.
a)
true
b)
false
68.
The Pythagorean Theorem is
c2 = a2 - b2
c2 = a2 - b2
a)
false
b)
true
69.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
70.
What is the name for side c on a right triangle?
a)
head
b)
leg
c)
hippopotamus
d)
hypotenuse
71.
Who is this?
a)
some man
b)
Sponge Bob
c)
Pythagoras
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