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WorksheetsTUTORING - FINAL REVIEW TWINS
Total questions: 182
Worksheet time: 46hrs 30mins
Find the length of the missing side.
25 cm
42 cm
52 cm
48 cm
The Pythagorean Theorem ONLY works on which triangle?
Obtuse
Right
Acute
Isosceles
Find the distance between P and Q.
5 units
4 units
2.6 units
3 units
Find the distance between P and R.
9.2 units
3.6 units
85 units
13 units
The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?
8 feet
5.29 feet
10 feet
14 feet
Your family wants to purchase a new laptop with a 17" widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don't remember the width. Calculate the width of the laptop to the nearest tenth of an inch.
7 inches
10 inches
19.7 inches
13.7 inches
A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)
180 feet
90 feet
13.4 feet
127.3 feet
Jacob wants to buy a 52” television to fit in his 31 inch by 42 inch opening in his entertainment center. Will the television fit?
No
Yes
Solve for x
5
90
25
10
Solve for x.
7
10
14
17
If the measure of ∠1 = 30°, then the measure of ∠3 is equal to?
30°
60°
150°
undetermined
What is the value of x?
102
117
112
104
What is the relationship between angles A and B?
corresponding
alternate interior
alternate exterior
supplementary
What is the relationship between angles A and B?
corresponding
alternate exterior
alternate interior
supplementary
What is the relationship between angles A and B?
corresponding
alternate exterior
alternate interior
supplementary
What is the measure of ∠2?
58o
Vertical angles
122o supplementary
58o
Alternate Interior
122o
Alternate exterior
What is the value of x?
-10
-6
Infinite Solutions
No solutions
Find x, then find the measurement of both angles.
x = 30; both angles measure 118 degrees
x = 30; both angles measure 114 degrees
x = 20; both angles measure 112 degrees
x = 20; both angles measure 110 degrees
1) Given the two parallel lines cut by a transversal.
What is the vertical angle to angle 4?
Angle 2
Angle 6
Angle 8
Angle 7
Alternate exterior angles
Alternate interior angles
Vertical angles
Corresponding angles
Find <S
A
B
C
D
What is the value of the missing angle?
90
100
20
120
What is the value of the missing angle?
105
80
55
25
Solve for x.
8
9
13
15
Solve for x.
24
25
36
48
Solve for x.
25
48
60
70
Solve for x.
48
55
60
70
are alternate interior angles
are alternate interior angles
are alternate interior angles
are alternate interior angles
are corresponding angles
are corresponding angles
are corresponding angles
are corresponding angles
Alternate
Vertically opposite
Co-interior
Angles that lie on the same side of the transversal and in corresponding positions are called...
Linear Pair
Alt. Int. Angles
Corresponding Angles
Alt. Ext. Angles
2(2t - 3) = 6(t + 2)
145
165
180
190
Solve 5x+2 = 6
t = 20
t = -20
t = -40
t = 40
Solve for x. 7x−8=16
x = 56
x = 8/7
x = 24/7
x = 168
Solve: 5x + 15 = 10x - 40
x = 10
x = -10
x = 11
x = -11
Solve: 7x = 3x + 24
10
4
6
14
Solve the equation: 4x - 5x + 9 = 5x - 9
x=3
x=-3
x=-9
x=9
Solve: 2(4x-3) - 8 = 4 + 2x
x=5/3
x=3
x=1
x=2
Solve: 14p - 8 = 22 + 20p
-5
5
30
What number satisfies the equation
8(x−1)−2x=−(x+50)
(a)
Which phrase matches this expression?
"The difference of a number and 12"
x+12
12x
x12
x−12
Which expression matches this phrase?
"Three less than twice a number"
3 + 2x
3 − 2x
2x − 3
2(x − 3)
Which expression matches this phrase?
"The sum of half a number and 5"
21x + 5
21+5x
21(x+5)
21(5) + x
Elena bowls x games.
• Bowling Alley A charges $7.25 for shoes plus $0.50 for each game of
bowling.
• Bowling Alley B charges $1.25 for shoes plus $1.50 for each game of
bowling.
After how many games will both Bowling Alley A and Bowling Alley B cost the
same amount?
(a)
Twice a number is 500 more than six times the number. What is the number?
-125
125
50
300
Three-sevenths of a number is 24. Find the number.
56
65
23
45
What number increased by ¼ of itself is equal to 30?
24
42
65
32
The marina parking lot charges $9.20 for the first hour and $1.20 for each additional hour. The main street parking lot charges $2.00 for the first hour and $1.80 for each additional hour. For how many hours will the two lots charge an equal amount of money?
11
12
13
15
A video store offers two yearly pricing plans:
A. $10.00 charge plus $2.50 for each movie rented.
B. $4.00 charge (total) for the first 4 movies rented plus $3.00 per movie.
How many movies will a person need to rent in order to spend an equal amount of money using either plan?
48
36
24
32
Better taxi service charges $3.00 for the first mile plus $0.20 for each additional mile. Best taxi service charges $6.00 for the first two miles plus $0.10 for each additional mile.
How many miles will a person travel in order to spend an equal amount of money using either service?
15
28
29
30
The width of a rectangle is 12 cm less than the length. The perimeter is 156 cm. Find the width and length.
w = 60
l = 40
w = 33
l = 45
w = 45
l = 33
w = 40
l = 60
5(2x + 6) = −4(−5 −2x)+ 3x
x =−20
x = 20
x =−10
x = 10
For her cell phone service plan, Angel pays $32 a month plus $0.75 for each minute over the allowed minutes in her plan. Angel received a bill for $47 last month. How many minutes did she go over on her plan?
(a)
A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?
(a)
The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Tara's cell phone bill is $75, how many minutes did she talk on the phone?
30 minutes
60 minutes
250 minutes
300 minutes
Which phrase matches this expression?
"The difference of a number and 12"
x+12
12x
x12
x−12
Which expression matches this phrase?
"Three less than twice a number"
3 + 2x
3 − 2x
2x − 3
2(x − 3)
Which expression matches this phrase?
"The sum of half a number and 5"
21x + 5
21+5x
21(x+5)
21(5) + x
Mallory bought pizza and soda for her End of Summer party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22? Which equation models this scenario?
10.95x + 12.57 = 89.22
89.22x - 10.95 = 12.57
12.57x + 10.95 = 89.22
12.57 + 10.95 = 89.22
Six decreased by twice a number.
2x - 6
6 < 2x
6 - x
6 - 2x
Your class won the donut party and when Ms. Byrd went to pick up the donuts she was happy to find out they gave her an educator discount of $3. Ms. Byrd spent $34.50 for donuts for your class of 25 students. How much was each donut?
$2
$1
$1.50
$2.50
Nine times the sum of a number and three
9 ( 3x )
9 ( x + 3 )
9 ( x - 3 )
9x (3)
Five less than a number is 6
Find the solution.
x = 2
x = -1
x = 12
x = 6
Solve.
x = -2
x = -4
x = 5
x = 10
Solve for w:
52w−9=11w=50
w=10
w=32
w=23
solve for m:
32(9m−6)=20m=4
m=3
m=2
m=8
Solve.
x = 16
x = -16
x = 8
x = -8
Solve.
x = 20
x = -20
x = 30
x = -30
⅛x + ¼ =⅝
4
-2
2
-6
Solve the equation 3x− 4 = 5 .
19
27
11
15
Solve the equation 2x + 3= −1 .
x = 1
x = 4
x = -8
x = -5
Find the measure of Angle D.
44
38
82
98

Look at the model of the Pythagorean Theorem. What is the length of the side of the large green square?
14 cm
15 cm
16 cm
13 cm
(a)
Solve for lateral surface area?
576 in²
1536 in²
48 in²
384 in²
Solve for lateral surface area?
864 in²
832 in²
20,736 in²
2,367 in²
Solve for lateral surface area?
37.5 m²
18.5 m²
101.25 m²
45 m²
Solve for lateral surface area?
268,800 ft²
4,202 ft²
1,230 ft²
3,000 ft²
Solve for lateral surface area?
82 cm²
360 cm²
210 cm²
1,500 cm²
Find the lateral surface area. Use 3.14 for pi. The diameter is 2. Round to the nearest tenths.
62.8
37.7
6.3
31.4
find the lateral surface area of the cylinder.
666.666 m2
816.4 m2
1632.8 m2
1444.4 m2
You need to paint your rectangular prism bedroom. Your room is 10 feet by 12 feet and has 8 foot tall ceilings. A gallon of the paint you want covers 250 square feet. If you painted the floor, the walls, and the ceiling of your room, how many gallons would you need?
2 gallons
3 gallons
4 gallons
5 gallons
I am baking you a cake in the shape of a rectangular prism. (hopefully its edible). The base of the cake is 8 inches by 12 inches, and it is 6 inches tall. A tube of frosting covers 50 square inches of cake. If i just want to apply frosting to the top of the cake, how many tubes of frosting do I need?
1 tube
2 tubes
3 tubes
4 tubes
Is this looking for Lateral or Total surface area?
The base of a right prism is a right triangle with legs 7 and 24. The height of the prism is 22. Find the lateral area of the prism.
(a)
The base of a right prism is a right triangle with legs 7 and 24. The height of the prism is 22. Find the total surface area of the prism.
(a)
A gift box has dimensions 50cm x 35cm x 5 cm. You have a piece of wrapping paper with dimensions 75cm x 60cm. Do you have enough wrapping paper to wrap the gift?
Yes
No
How much paper would be needed to put a label around this can without overlapping.
325.7 cm2
418.2 cm2
261.4 cm2
83.2 cm2
length = 4 m
height = 3 m
width = 8 m
length = 10 m
height = 4 m
width = 3 m
Find the volume to the nearest whole number. Use 3.14 as pi.
A sugar cone can hold 25 cm3 of vanilla ice cream and it has a radius of 1.75 cm. How tall is the sugar cone? Round answer to nearest tenth.
h = 7.8 cm
h = 7.0 cm
h = 24.5 cm
h = 1000 cm
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.
Determine the volume of the following:
You have a globe that has a diameter of 22 inches. Find the volume of your globe.
Which equation can be used to find the volume of the container?
