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WorksheetsGED Math Final Review
Total questions: 162
Worksheet time: 10hrs 27mins
Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?
10.95x + 12.57 = 89.22
12.57x + 10.95 = 89.22
89.22x -10.95 = 12.57
12.57 + 10.95 = 89.22
Michael is planning to build a rectangular garden. The area of the garden can be represented by the expression -28x2+35x square meters, where x is the width in meters. Which expression can Michael use to factor the area of the garden?
7x(4x+5)
-7x(4x-5)
7x(4x-5)
-7x(4x+5)
Harper is designing a square garden with an area of 144k2r14 square meters. She wants to find the length of one side of the garden.
Which expression represents the length of one side of the garden for all positive values of k and r?
12kr7
72k2r14
144kr7
12k2r14
Anika is planning a rectangular garden. The length of the garden is 17 meters more than its width. The area of the garden is 60 square meters. Which expression represents the dimensions of the garden?
(x-20)(x+3)
(x-5)(x-12)
(x-20)(x-3)
(x+5)(x-12)
Mason is designing a garden and wants to create a parabolic path. The function for the path is given by f(x) = 1/3(4-x)2. What is the value of f(16) when x represents the distance in meters from the starting point?
144
72
24
48
Kai is designing a square garden and wants the area to be 81 square meters. If the side length of the garden is (x+7) meters, what are the possible values of x?
-74 and 88
-2 and 16
-88 and 74
-16 and 2
Ethan is designing a parabolic archway for a garden. The function that models the shape of the archway is f(x)=-4(x+7)2-6. Which function represents the expanded form of this equation?
f(x) = -4x2-56x-202
f(x) = -4x2+14x+43
f(x) = -4x2-56x-172
f(x) = -4x2+190
Rohan is organizing his bookshelf. He has q4 books on each of his 3 shelves, but he decides to remove books from some shelves, resulting in (q4)-3 books. Meanwhile, his friend Michael has q-15 books. How many times more books does Rohan have compared to Michael?
q27
1/(q27)
q3
1/(q3)
Anika is planning to build a rectangular garden. The area of the garden is represented by the expression 21x2+13x - 20 square meters. Which expression represents one of the possible dimensions of the garden?
3x-4
7x-5
7x+4
3x+5
Aria is planning a road trip and wants to calculate the slope of the road between two towns. The elevation of the first town is at 5 meters above sea level, and the elevation of the second town is at -11 meters. If the horizontal distance between the two towns is 14 kilometers, what is the slope of the road?
-2
-1/2
7
2
Which graph best represents a system of equations that has no solution?
Oliver is planning a rectangular garden. The length of the garden is x meters, and the width is (x-17) meters. The area of the garden is 60 square meters. Which expression represents the dimensions of the garden?
(x-20)(x+3)
(x-5)(x-12)
(x-20)(x-3)
(x+5)(x-12)
What are the solutions to (x+7)2=81?
-74 and 88
-2 and 16
-88 and 74
-16 and 2
Jackson is designing a parabolic archway for a garden. The equation for the archway's shape is given by f(x)=-4(x+7)2-6. Which function represents the expanded form of this equation?
f(x) = -4x2-56x-202
f(x) = -4x2+14x+43
f(x) = -4x2-56x-172
f(x) = -4x2+190
Maya is organizing her bookshelf and wants to arrange her books in a specific pattern. She has (q4)-3 books on one shelf and (q-15) books on another shelf. Which expression represents the total number of books she can arrange on both shelves for all values of q where the expression is defined?
q27
1/(q27)
q3
1/(q3)
Henry is tracking the growth of a plant over time. He notices that the plant grows at a consistent rate. What is another word for this rate?
Initial Value
Rate of Change
Change in Y's
Y-intercept
Which graph represents 2x + 4y = 12?
Abigail is designing a ramp for a skateboard park. The equation of the line representing the side view of the ramp is 5x - 12y = 24. What is the slope of the ramp?
-2
524
-12
125
Noah is designing a new bike path that needs to run parallel to an existing path described by the equation
3x + 3y = 12. The new path must pass through the park located at the point (3, 4). Write the equation for the new path.
y = -x + 7
y = -3 - x
y = x + 1
y = -x/3
Kai is designing a ramp for a skateboard park. He wants the ramp to be perpendicular to the line represented by the equation 4x – 3y = 6 and pass through the point (8, -3). Write an equation for the ramp.
y = -3/4x + 4
y = -2x + 13
y = -3/4x + 3
y = -2x - 3
Nora has a ribbon that is 52 meters long. Convert the length of the ribbon to a decimal.
0.5
0.2
0.4
0.10
Benjamin has a ribbon that is 0.25 meters long. Convert the length of the ribbon to a fraction in simplest form.
41
10025
205
52
Noah has 352 meters of ribbon. He wants to know how many meters he has in decimal form.
3.4
3.25
3.2
3.04
Samuel wants to build a square garden with an area of 81 square meters. What should be the length of each side of the garden?
9
10
8
6
Avery is measuring the distance from her house to a nearby park. She marks the point Z on a number line to represent this distance. Which best represents point Z on the number line?
√165
√149
√12.2
√13
Grace is shopping and finds a dress that is 45% off. What is the discount as a decimal?
(a)
Harper is shopping and sees a sign that says "3% off on all items". What is 3% as a decimal?
(a)
Evelyn is shopping and finds a dress that is originally priced at $100. The store is having a sale, offering a discount of 195% on the dress. What is the discount amount as a decimal?
(a)
Michael is building a cube-shaped sandbox for his backyard. Each side of the sandbox is 4 feet long. What is the volume of the sandbox in cubic feet?
64
12
16
54
Elijah wants to join a local gym that requires members to be at least 15 years old. Let a represent Elijah's age.
a > 15
a < 15
a ≤ 15
a ≥ 15
a = 15
Avery is planning a birthday party and hired a DJ for the event. The DJ charges $125 per hour in addition to $55 for an assistant. Avery wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the party?
125x + 55 ≤ 600
125x + 55 ≥ 600
125x + 55 > 600
125x + 55 < 600
F
G
H
J
Daniel and Abigail are planning to visit two different fairs. The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides they would need to go on for both fairs to be of equal value?
15x + 2.5 = 10x + 3
15 + 2.5x = 10 + 3x
15 - 2.5x = 10
15 - 10 = 2.5x + 3x
Benjamin is considering two gyms. Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.
30 + 20x < 15 + 30x
30x + 20 < 15x + 30
30 + 20x > 15 + 30x
30x + 20 > 15x + 30
Benjamin is preparing for his final exams and wants to know the best, general test-taking strategy of all time. What should he consider?
Guess on every problem
Process of Elimination
Letter of the Day
Plug in the Answer Choices
Avery is building a ramp for a skateboard park. She needs to ensure the ramp forms a right triangle with the ground. The Pythagorean Theorem ONLY works on which triangle?
obtuse
scalene
isosceles
right
Charlotte and Aria are building a rectangular garden. The sides a and b of the garden are called legs.
true
false
Nora is helping her friend Daniel build a ramp for his skateboard. They need to find out the longest side of the right triangle formed by the ramp and the ground. What is this side called?
Leg A
Leg B
Hypotenuse
Pythagoras' Big Buddy
Lauren's class is going on a field trip to the zoo. They will be traveling in vans that hold 8 people and cars that hold 5 people. There are 32 people going on the trip. There are only 2 vans available. If the two vans are filled first, how many cars will be needed?
4
6
3
5
David has 865 stickers and wants to distribute them among 28 students. What is the best estimate of how many stickers each student gets?
40
45
35
30
There are 485 students at Rock Bridge Elementary School. The principal has decided to take all of the students on a field trip. Each bus can carry 40 students. How many buses must the principal have for the field trip?
(a)
Scott has a bag of candy. In the bag there are 24 strawberry and 32 blueberry flavored pieces. If he shares his candy equally with his 3 friends, how many pieces will Scott and each friend get?
18
8
6
14
Jonathan created a web site for dog owners and charges them for space to show their dogs online. Last year his business earned him $8,340. How much did he earn each month?
$695
$8,352
$8,328
$685
Henry and Liam are planning a trip. Henry travels 3 miles north and 1 mile east, while Liam travels 1 mile north and 3 miles east. Where do they meet?
(3,1)
(1,3)
(-1,3)
No solution
Mason and Isla are planning two separate road trips on parallel highways. How many meeting points will their paths have?
No solution
One Solution
I Don't Know
Infinitely Many Solutions
Jackson is planning to build a fence around his rectangular garden. The equation representing the relationship between the length (x) and the width (y) of the garden is given by
3x+y=12
Convert this equation into slope-intercept form to find out how the width changes with respect to the length.
y = -3x +12
x = y + 4
x = y + 12
y = 3x -12
Kai is planning to build a ramp for skateboarding. The equation representing the relationship between the horizontal distance (x) and the height (y) of the ramp is given by 10x −5y=30 . Convert this equation into slope-intercept form to find out how steep the ramp is.
y = 2x - 6
y = -2x + 6
y = -10x + 30
y = 10x - 30
Priya is comparing the lengths of three different ribbons. The lengths are 3π meters, √ 10 meters, and 3.25 meters. Help her order them from least to greatest.
**TIP: Use your calculator to convert all numbers into decimal form, to make it easier to compare. Also, have some scratch paper handy to write them down! :)
√ 10 meters, 3π meters, 3.25 meters
√ 10 meters, 3.25 meters, 3π meters
3π meters, 3.25 meters, √ 10 meters
Lily is comparing temperatures. The temperature in her hometown is -17.5°C. She wants to compare it with the temperature in another city, which is -√121°C. Put in the symbol to make the statement true...
-17.5 _________ -√121
**TIP: Use your calculator to convert the square root into a decimal to make it easier to compare!
>
<
=
Which of these values is the LEAST?
0
-3
1/2
Noah, Rohan, and Zoe are comparing their scores in a game. Noah scored 63/7, Rohan scored 8.99, and Zoe scored -22. Who has the GREATEST score?
**TIP: Use your calculator to convert the fraction into a decimal to help compare!
Noah: 63/7
Rohan: 8.99
Zoe: -22
Zoe is measuring the circumference of a circular garden and finds it to be 7 times the value of π. The number is an...
**TIP: Use your calculator to convert into decimal form!
*Only one answer!
Rational Number
Irrational Number
Integer
What is the correct formula for volume of a cylinder?
V= πr2h
a2+b2=c2
V= πr2
S= πr2h
The B in the formula for volume of a cylinder stands for:
area of the base
base
volume of the base
Beautiful
The formula for volume of a cone is :
V= πr2h
V=Bh
V= 21πr2h
V= 31πr2h
What is the radius of the cylinder?
(a)
Identify the radius and height of the cone.
radius: 8
height: 9
radius: 9
height: 8
radius: 4
height: 9
radius: 9
height: 4
The formula for volume of a sphere is:
V= 34πr3
V=Bh
V= 43πr3
V= 34πr2
What is the radius of the sphere?
42 cm
84 cm
21 cm
π
Where can you find the formulas for Volume problems during a test?
Calculator
Reference Chart
At the mall
The diameter of a shape is always double the size of the:
height
radius
circle
Mars
The radius of a shape is always half of the:
distance
height
diameter
Earth
A pool table is 9 feet long and 5 feet wide. How far is it from one corner pocket to the diagonally opposite corner pocket? Round to the nearest tenth if necessary.
10.2 ft
10.3 ft
106 ft
14 ft
7.8⋅321+976
(a)
A muffin recipe calls for 3/4 cup of flour. Carlito is making 6 batches of muffins. How much flour does he need?
643
541
421
Daniella made 254 cups of lemonade on Wednesday and 121 cups of lemonade on Thursday. How much lemonade did she make on those two days combined?
452 cups
4103 cups
4101 cups
421 cups
Flora is making bracelets for her friends. She had 9 feet of string, and she needs 1/3 a foot of string for every bracelet. How many bracelets can she make?
271 bracelets
3 bracelets
931 bracelets
Mr. Neville Iceguy mixed up 12 53 gallons of chili for a party. If 7 43 gallons of chili was mild, and the rest was extra spicy, how much extra spicy chili did Mr. N. Iceguy make?
4 2017 gallons
3 2017 gallons
4 2019 gallons
4 2013 gallons
Select the situation that could be modeled by: 120 + 25x = 45x.
John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?
George charges a flat fee of $120 to mow a lawn plus $25 per hour. Greg charges $45 an hour to mow a lawn. After how many hours do they make the same amount?
Lisa pays $120 for each purse she buys plus an additional $25 each to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?
Select the situation that can be modeled by the equation 8+4x=12+3x
Winnie bought a family meal with 8 burgers and 4 fries. Wilson bought a family meal with 12 burgers and 3 fries. If they each paid the same amount, how much did they spend?
Team A runs 8 drills that are 4 minutes each. Team B runs 12 drills that are 3 minutes each. Which team practices longer?
The basketball team currently has 8 players and is growing by 4 players each month. The volleyball team has 12 players and is growing by 3 players each month. After how many months will they have the same number of players?
The basketball team currently has 4 players and is growing by 8 players each month. The volleyball team has 3 players and is growing by 12 players each month. After how many months will they have the same number of players?
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?
2 hours
3 hours
4 hours
5 hours
What is the volume?
(use π button and round to the tenth)
(a)
What is the volume?
(a)
What is the volume?
(use π button and round to the tenth)
(a)
What is the volume of this grain silo?
(round to tenth & leave in π)
500 π
250 π
333.3 π
291.7 π
What is the volume of the ice cream in this cone in cubic inches? It is packed to the top with a HALF scoop on top of that.
Use π on your calculator and round to the tenth
(a)
4 54
3 510
4 32
9−217−3+42=
32
16
24
18
23+615+3+52=
33
42
36
17
C
A
B
D
B
A
C
D
B
A
C
C
A
B
D
Which of the following is a function?
Which set of ordered pairs is a function?
{(9,5), (10,5), (9,-5), (10,-5)}
{(3,4), (4,-3), (7,4), (3, 8)}
{(6,-5), (7, -3), (8, -1), (9, 1)}
{(2, -2), (5, 9), (5, -7), (1, 4)}
Identify this transformation.
Dilation
Rotation
Translation
Reflection
Is the picture being reflected across the y-axis or the x-axis?
y-axis
x-axis
24⋅24⋅0
256
0
1
65536
Evaluate, round to the nearest tenth
(a)
1.
A
B
C
D
2.
A
B
C
D
6.
A
B
C
D
Which equation matches the table?
y = 1/4x + 6
y = 6x + 4
y = 4x + 6
y = x + 6
Identify the transformation of figure PQRSTU to figure P"Q"R"S"T"U"
translation across the y-axis
reflection across the x-axis
reflection across the y-axis
rotation 90˚ about the origin
Which best describes the form of this scatterplot?
linear
nonlinear
scattered
no correlation
The graph below shows the number of sunny days and rainy days in a city during four months.
Based on the graph,how many more sunny days than rainy days did this city have during the months of April, May, and June?
21
56
26
20
What conclusions can you draw from this graph?
The deer population went down over time.
The deer population went up over time.
The dear population went up quickly, then down, but then stayed the same.
There are less dear because of hunters
Evaluate: |-12|
12
-12
0
1.2
Compare: -2 and |-2|
<
>
=
Compare: |13| ____ |-14|
<
>
=
What is the perimeter of the shape?
22 ft
21 ft
20 ft
19 ft
Chris decided to do his history homework a little bit each night. On the first night he did 1/5 of the homework, the second night he completed 1/4 of the homework, and the third night he worked 1/2 of the homework. How much of the homework has Chris completed?
19/20 or .95
1/2 or .5
1/3 or .33
1/10 or .1
Aryon has $20. He buys 2 Cokes that each cost $1.50. He also buys a sandwich for $5.50 and a bag of chips that costs $2.25. After Aryon pays for his lunch, how much money does he have left?
$10
$10.75
$9.25
$0
Sarah rolls a fair number cube 24 times and it lands on “4” 6 times. If she were to repeat this trial and roll the cube 60 times, how many times would you expect her to get a “4”?
(a)
Mike tosses a fair coin 100 times and lands on heads 45 times. He doesn’t have time to toss it another 100 times, so he only tosses it 20 times, how many times would you expect it to land on heads?
(a)
A fair spinner is divided into three equal sections labeled red, blue and green. Daquan spins it 75 times and lands on the blue section 20 times. If he were to conduct another trial with 30 spins, how many times would you expect it to land on blue?
(a)
Mary is going to spin the spinner 144 times. How many times should she be expected to land on yellow?
48
60
36
24
Between which pair of decimals should 4/7 be placed on a number line? (NO CALCULATOR)
0.3 and 0.4
0.4 and 0.5
0.5 and 0.6
0.6 and 0.7
Place the fractions in order from smallest to largest:
1/4, 0.5, 3/8, 0.9 (NO CALCULATOR)
0.9, 1/4, 3/8, 0.5
3/8,1/4, 0.9, 0.5
1/4, 3/8, 0.5, 0.9
1/4, 0.9, 3/8, 0.5,
Simplify the exponents:
(29 x 35) x (24 x 3)2 (NO CALCULATOR)
620
624
213 x 37
217 x 37
The numbers -4 and 5 are plotted on a number line. What is the distance, in units between the two points? (NO CALCULATOR)
1
4
8
9
Susan and Daphne are participating in a walk-a-thon at the local community college track to raise money. Susan can walk around the track in 4 minutes. Daphne can walk around the track in 6 minutes. Susan and Daphne started walking at the same time. How many minutes will it be until they complete a lap at the same time?
2
10
12
24
Simplify. (NO CALCULATOR)
18
22
38
50
Add.
Which expression is undefined in the set of real numbers? (NO CALCULATOR)
0-4
-4 x 0
A store charges $6.96 for a case of mineral water.
*Each case contains 2 boxes of mineral water.
*Each box contains 4 bottles of mineral water.
What is the cost of each bottle of mineral water? (NO CALCULATOR)
$0.87
$1.16
$1.74
$3.48
A scale drawing of a house uses a scale of 0.5 inches = 2 feet. What is the length, in inches, of a line of the scale drawing that represents an actual length of 5 feet? (NO CALCULATOR)
1.25
2.5
10
20
The price of Veronica's meal before tax and tip was $11.92. Veronica paid 8% tax, then added 15% tip to the total. To the nearest cent, how much did Veronica pay for her meal? (NO CALCULATOR)
$12.87
$13.71
$14.66
$14.80
A rectangle has an area of 54 square inches and a length of 6 inches. What is the width, in inches of the rectangle?
9
21
24
48
The Wilson's family's back yard is rectangular plot that has a length of 100 feet and a width of 80 feet. The family planted a garden with a length and width of 60 feet. The family planted a lawn in the remaining area of the backyard as shown.
What is the area, in square feet, of the lawn in the Wilson family's back yard?
4,400
5,200
5,600
8,000
Greg installed a circular drain that has a diameter of 4.8 inches.
To the nearest tenth of an inch, what is the circumference of the drain?
7.5
15.1
18.1
30.1
The foundation of a building is in the shape of a rectangle, with a length of 20 meters (m) and a width of 18 m.
To the nearest meter, what is the distance from the top left corner of the foundation to the bottom right corner?
19
27
36
38
A sphere has a radius of 7.5 centimeters (cm).
To the nearest cubic centimeter, what is the volume of the sphere?
236
1,325
1,766
14,130
The line graph shows the monthly payroll at a large construction company.
In which month did the monthly payroll decrease the most?
February
March
June
July
The manager of an apartment complex ordered the air conditioners in the apartments to be replace. The list shows how many years each air conditioner had been in service.
12.2, 13.7, 11.9, 13.4, 11.9, 12.3, 12.9, 11.8, 13.3, 13.6
What is the median number of years that an air conditioner had been in service?
11.9
12.1
12.6
12.7
A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are 6 vegetables available, and guests may select any 2 vegetables for their omelet. how many different combinations of 2 vegetables are possible?
12
15
30
36
In a shipment of toys from a manufacturer, the probability that a toy is defective is 1/50. If Marie selects 2 toys from a shipment, what is the probability that both toys are defective?
Subtract.
(3x - 4y) - (4x - 3y)
-x - y
7x - y
-x - 7y
7x - 7y
A painter uses the expression 35h + 30c to determine how much he charges a customer for a job that takes h hours and c cans of paint. His last job required 3 cans of paint and took 15 hours to complete. How much did the painter charge?
$540
$555
$615
$630
In a science experiment, the initial temperature was 55 degrees Fahrenheit, and each hour after, the temperature dropped by 4 degrees. Which expression represents the temperature, in degrees Fahrenheit, after t hours?
55 - 4t
55 + 4t
4t + 55
4t - 55
Multiply.
(2x - y)(3x + y)
6x2 - xy - y2
5x2 - xy - y2
6x2 - xy - 2y2
5x2 - xy - 2y2
A rental company carries tables that seat 2, 4, or 8 people. For a wedding, a customer orders x tables that seat 2 people, y tables that seat 4 people, and z tables that seat 8 people. Which expression represents the tables that the customer orders?
2x(4y)(8z)
2x + 4y + 8z
(2 + 4 + 8) (xyz)
(2 + 4 + 8) (x + y + z)
Add.
Which expression matches this written description?
The quotient of the sum of 4 and 2 times a number, and the difference of 6 less than 3 times the same number.
Lucy is shipping 5 boxes that all weigh the same, and 1 envelope weighs 7.5 pounds. The total weight of the shipment is 65 pounds. What is the weight, in pounds, of each box?
5.5
11.5
14.5
20.5
A system of equations is shown.
4x + 3y = 8
4x - 3y = -16
What is the value of x?
-3
-1
1
4
Isabella saved $15,000 and bought a new car that cost $12,700. The insurance for the car will cost $600 per year. How man full years will Isabella be able to pay for car insurance with her remaining savings?
3
4
21
25
Solve.
4x2 - x - 5 = 0
x = -1 and x = 5/4
x = 4/5 and x = 1
x = -1 and x = 4/5
x =1 and x = 5/4
Points J, K, and L are plotted on the coordinate grid.
What are the coordinates of the points on the coordinate grid?
J (1, -4); K (3,0); L (-2, 3)
J (-4, 1); K (0,3); L (3, -2)
J (-4, 1); K (0,3); L (-2, 3)
J (-4, 1); K (3,0); L (3, -2)
What is the slope of the line represented by the equation 3x + 4y = 8?
-4/3
-3/4
3/4
4/3
Chelsea designs beaded bracelets. The equation P = 7 + 0.05b can be used to find the price, P, of a bracelet that has b beads. What does the number 0.05 in the equation represent?
the price of each bead
the price of each bracelet
the number of bracelets made
the number of beads in a bracelet
What is the equation of the line that has a slope of -7 and passes through the point (4,8)?
x + 7y = 60
7x + y = 36
x - 7y = -52
7x - y = 20
What is the equation of the line that passes through the points (-3, -2) and (1, 6)?
y = 2x + 4
y = -2x + 8
y = 1/2 x - 1/2
y = 1/2 x - 11/2
What is the slope of a line that is perpendicular to 5x - 2y = 17?
-5/2
-2/5
2/5
5/2
Tim is looking at two websites that allow customers to print their own designs on T-shirts. One website charges $24 per T-shirt plus $8 shipping. The other website uses the equation C = 22n + 12 to find the total cost, C, of printing n T-shirts. What is the difference in the cost of each website if Tim orders 10 T-shirts?
$2
$16
$20
$24
Which table represents a function?
-77
-23
31
85
