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Worksheets8th Math CA 1 Review
Total questions: 216
Worksheet time: 13hrs 37mins
Which Venn diagram correctly describes the relationship between the set of Natural Numbers, N, and the set of Whole Numbers, W?
N inside W, because all natural numbers are whole numbers.
N and W separate, because natural numbers and whole numbers have no elements in common.
W inside N, because all whole numbers are natural numbers.
N and W overlapping, because some natural numbers are not whole numbers.
Mr. Smith is sewing a quilt. He needs a piece of fabric that is MORE than 1/3 of a yard but LESS than 3/4 of a yard. Which length of fabric listed below could he use?
1/4 yard
2/3 yard
5/6 yard
1/2 yard
Identify the rational numbers from the list below.
3/4
-5
3.14
10
-2.7
Robert and Dora need to write 5,600,000,000 using scientific notation. Robert wrote 5,600,000,000 = 5.6 x 10^8, and Dora wrote 5,600,000,000 = 5.6 x 10^9. Which statement best describes whose number is correct and the reason it is correct?
Robert’s number is correct because when converting 5,600,000,000 to scientific notation, the decimal would be located between the 5 and the 6, and the original decimal point in the standard form moves to the left 8 places.
Dora’s number is correct because when converting 5,600,000,000 to scientific notation, the decimal would be located between the 5 and the 6, and the original decimal point in the standard form moves to the left 9 places.
Robert’s number is correct because when converting 5,600,000,000 to scientific notation, the decimal would be located between the 5 and the 6, and the power of 10 is determined by the number of zeros.
Dora’s number is correct because when converting 5,600,000,000 to scientific notation, the decimal would be located between the 5 and the 6, and the power of 10 is always the number of zeros plus 1.
A scientist recorded a mass of 0.000456 grams of a substance. How is this number expressed in scientific notation?
4.56 x 10^-4 grams
4.56 x 10^4 grams
456 x 10^-6 grams
0.456 x 10^-3 grams
Four friends are working on a project. Alice has completed 3/5 of the project, Bob has completed 68% of the project, Carol has completed 0.72 of the project, and Dave has completed 4/7 of the project. Which of the following lists the friends in order from least to greatest by the amount of the project they have completed?
Bob, Dave, Carol, Alice
Dave, Bob, Alice, Carol
Bob, Carol, Dave, Alice
Dave, Carol, Bob, Alice
Arrange the following fractions in descending order: 5/6, -1.25, 3/4, 150%, -0.5, 2/3.
150%, 5/6, 3/4, 2/3, -0.5, -1.25
150%, 3/4, 5/6, 2/3, -0.5, -1.25
150%, 5/6, 2/3, 3/4, -0.5, -1.25
150%, 5/6, 3/4, 2/3, -1.25, -0.5
Which of the following represents the width, in centimeters, of a book on a shelf?
5/3
2.75
9/100
0.205
The volume of a water tank is 12,500,000 cubic meters. What is the volume of the water tank in scientific notation?
1.25 x 10^7
12.5 x 10^7
125 x 10^7
1.25 x 10^6
A company with 300 employees wants to survey its employees to determine if they prefer remote work or in-office work. Choose which of the following samples is unbiased.
Surveying the first 30 employees that arrive at the office.
Surveying employees who have already worked remotely.
Surveying every 5th employee to enter the building.
Asking employees to respond to an online survey.
The list shows the number of books that five students each read last month: 25, 30, 28, 22, 35. What is the mean absolute deviation of the numbers in the list?
3.6
4.8
5.2
6.4
A set of values is shown below: 15, 18.5, 20, 21.5, 17, 19. What is the mean absolute deviation of the set of values?
0
1.66
2.5
3.2
DeeAnne wants to survey the 8th grade students at her school to learn their opinions about school lunches. Which sampling method is most likely to create a random sample that is representative of the population of 8th grade students at her school?
Choosing every 5th student in 8th grade that enters the cafeteria during lunch period.
Asking 8th grade students to volunteer for the survey.
Selecting the first 2 students from an alphabetized list in every 8th grade class.
Placing the school identification numbers of all 8th grade students in a bag and drawing 20 numbers without looking.
Which methods would ensure a random sample representative of the population? Select TWO correct answers.
Using a computer algorithm to randomly select employees for a survey on workplace satisfaction.
Choosing the first 15 people who enter a store to participate in a study on shopping habits.
Asking participants to respond to an online survey.
Asking for volunteers to join a committee on neighborhood safety.
Picking the first 25 respondents to a survey to determine public opinion on a new policy.
Greta recorded the ages of male and female athletes represented by a certain agent. The ages, in years, are shown below. Male Athletes: 24, 29, 35, 33, 40, 28 Female Athletes: 24, 23, 27, 25, 26, 30 What is the mean absolute deviation of the female athletes?
A. 11
B. 25
C. 3.8
D. 1.85
Which of the following best describes the mean absolute deviation?
A. It measures the spread of data values around the median.
B. It is the absolute value of the mean.
C. It is the average distance between each data value and the mean.
D. It measures the spread of data values around the mode.
Myrtle wants to determine the favorite movie among students at her school. Which sampling method would most likely provide a representative sample of the students at Myrtle's school?
Survey fifteen players chosen randomly from each sports team
Survey fifteen students chosen randomly from students who are in art class
Survey fifteen students in the eighth grade
Survey fifteen students chosen randomly from each grade
A survey is given on how to improve the school. The survey is given to every 10th student who enters the band room. The survey is (a) because it (b) representative of the population.
Middle school students are chosen at random to determine the average shoe size of middle school students.
Representative Sample
Biased Sample
Tricia and Melanie are both saving money for their summer vacations. They both began saving at the same time. Tricia started with $15.00 and adds $7.50 to her savings every month. Melanie did not have a starting amount but adds $15.00 to her savings every month. Which equation could be used to determine how many months, m, it will take before Tricia and Melanie both have saved the same amount of money?
7.50m + 15.00 = 15.00m
15.00m + 7.50 = 15.00m
15.00m + 15.00 = 7.50m
15.00m - 7.50 = 15.00m
During a math competition, Alex, Jordan, Taylor, and Morgan solved the equation below. 29x+3=35x+611 Alex got an answer of 4.57. Jordan got an answer of -0.411. Taylor got an answer of 6.58. Morgan got an answer of -2.33. Who is correct?
USE NSOLVE:
1. type in MENU 3 1
2. write equation
3. type ,x
should look like NSolve(9/2x+3=5/3x+11/6,x)
Alex
Jordan
Taylor
Morgan
What is the formula for simple interest?
I = prt
A = P(1 + r)^t
To find the Account balance for simple interest, I need to
Add the interest to the principal
Subtract the interest from the principal
What is the formula for compound interest?
I = prt
A = P(1 + r)^t
The formula for compound interest gives you the
Account Balance
Interest
To find the interest for compound interest, I need to
Subtract the Account Balance and the Principal
Do nothing because I already have my answer
What should Grace do next in step 4?
-6x
+6x
-8x
-26
In Step 1, what operation is performed on both sides of the equation?
Addition
Subtraction
Multiplication
Division
What is the equation in Step 4?
6x + 26 - 6x = 8x - 6x
6x + 18 = 8x - 8
6x + 8 = 8x + 18
6x + 26 = 8x + 8
An equation is represented by the model. What value of x makes the equation true?
How do you solve?
-3x+9 = x-7
-3x+9-3x = x-7-3x
9 = -2x - 7
9+7 = -2x -7+7
16 = -2x
16/-2 = -2x/-2
-8 = x
-3x+9 = x-7
-3x+9+3x = x-7+3x
9 = 4x - 7
9+7 = 4x -7+7
16 = 4x
16/4 = 4x/4
4 = x
If Cole deposits $1,750 for 3 years, which solution would earn the most interest?
Account 1: 2.5% annual simple interest
Account 2: 4% interest compounded annually
Account 3: 3% annual simple interest
Account 4: 3.5% interest compounded annually
What is the solution to the equation 2x - 5 = 3x + 7?
x = -12
x = 12
x = -2
x = 2
Which operation should be performed first to solve the equation 4x + 8 = 20?
Subtract 8 from both sides
Add 8 to both sides
Multiply both sides by 4
Divide both sides by 4
Which operation should be performed next to solve the equation 4x = 20?
add both sides by 4
subtract both sides by 4
Multiply both sides by 4
Divide both sides by 4
Which account will yield more interest over 5 years: Account A with 3% simple interest or Account B with 2.5% interest compounded annually?
Account A: 3% simple interest
Account B: 2.5% compounded annually
Both yield the same interest
Cannot be determined
When calculating
interest, how do you write the percent?
a fraction
a decimal
a round number
not enough information
Steve deposited
$5,000 in a savings account that pays 4% interest compounded annually. Which
equation could be used to find the value of the account after 3 years?
A = 5,000(1 + 4)3
A = 5,000(1 + 0.04)3
A = 5,000(1 + 0.4) x 3
A = 5,000(0.04)3
Jessica borrowed $500 from a bank for 2 years and was charged simple interest. The total interest that she paid on the loan was $70. As a percentage, what was the annual interest rate of her loan?
Match the following
500
Principle (P)
2
time (t)
Unknown
rate (r)
70
Interest (I)
Ivan deposits $5,000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 3 years?
What is the principle? (a)
What is the rate? (b)
What is the time? (c)
Which is the formula for calculating compound interest?
The simple interest formula is I=Prt. What does the t represent?
Principle
Interest
Time
Percent Rate
Principal = $800
Interest Rate = 3.5%
Time = 6 months = 0.5 years
Find the interest earned.
Calculator: 800 x 0.035 x 0.5
4.3%
The compound interest formula is:
A = P(1 + r)t
What does the A represent?
The amount of interest earned.
The amount of time that has passed.
The account balance with the interest added
The amount required to invest.
interest is _________
extra money paid for borrowing
interesting
Flocabulary songs
time times rate
Steve deposited $5,000 in a savings account that pays 4% interest compounded annually.
Which equation could be used to find the value of the account after 3 years?
A = 5,000(1 + 4)3
A = 5,000(1 + 0.04)3
A = 5,000(1 + 0.4) x 3
A = 5,000(0.04)3
When Using the compound interest formula, what is the extra step you must take to get interest?
add the principle
subtract the principle
multiply the principle
leave it alone
Convert 25% to a decimal.
0.25
0.025
2.5
25
Convert 134% into a decimal.
0.134
1.34
0.0134
Not here
Convert 0.05 to a percent
50%
0.5%
500%
5%
Convert 6% into a decimal.
0.06
0.6
0.006
6
The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.
The cost of 5 notebooks is less than the cost of 3 notebooks with a $2-off coupon.
The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.
The cost of 5 notebooks is $2 greater than the price of 3 notebooks.
2.5v + 5 < 5v
2.5v + 5 > 5v
7.5v < 5v
7.5v > 5v
25 – x < 15 + x
A student must be at least 15 years old to obtain a driver’s permit. Let a represent the student's age.
a > 15
a < 15
a ≤ 15
a ≥ 15
a = 15
Triangle KLM and triangle PRS are similar right triangles. Which proportion can be used to show that the slope of KM is equal to the slope of PS ?
LMKL=RSPR
SPRS=MKLM
LKML=RPSP
PRPS=KLKM
Triangle HJK and triangle PMK are similar right triangles. The coordinates of all the vertices are integers. Which statement is true about the slope of HK and the slope of PK ?
The slope of HK is less than the slope of PK , because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for HK than it is for PK .
The slope of HK is equal to the slope of PK , because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for HK as it is for PK .
The slope of HK is greater than the slope of PK , because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for HK than it is for PK .
The relationship between the slope of HK and the slope of PK cannot be determined, because the triangles are congruent.
Triangle MNP and triangle JKL are similar right triangles. Which proportion can be used to show that the slope of JL is equal to the slope of MP ?
4−(−4)0−(−7)=8−(−1)−4−(−10)
−4−(−7)0−4=−1−(−10)−4−8
4−(−7)0−(−4)=8−(−10)−4−(−1)
0−4−4−(−7)=−4−8−1−(−10)
Triangles PQR and RST are similar right triangles. Which proportion can be used to show that the slope of PR is equal to the slope of RT ?
−4−(−7)3−7=2−(−4)−5−3
7−(−7)3−(−4)=3−(−4)−5−2
3−7−4−(−7)=−5−32−(−4)
−7−7−4−(−3)=−4−32−(−5)
Triangle DEF and triangle GHI are similar right triangles. Based on this information, which statement is true?
The relationship between the slope of the hypotenuse of triangle DEF and the slope of the hypotenuse of triangle GHI cannot be determined.
The slope of the hypotenuse of triangle DEF is greater than the slope of the hypotenuse of triangle GHI.
The slope of the hypotenuse of triangle DEF is less than the slope of the hypotenuse of triangle GHI.
The slope of the hypotenuse of triangle DEF is equal to the slope of the hypotenuse of triangle GHI.
Find the slope using (-2, 8) and (0, 0)
y2 - y1/x2 - x1
-8/-2 = 4
-8/2 = -4
2/8 = 1/4
-2/8 = -1/4
Slope is describe as
runrise
riserun
A factory makes cars at a constant rate. Based on the table, what is the slope of the line?
to solve: y divided by x
8.4C
A
B
C
D
Slope measures the _________ of a line
curve
speed
steepness
length
What are the coordinates of point R?
Give the coordinates of Point A
(−5,3)
(5,3)
(3,−5)
-5
5
15
-15
A
B
C
D
F
G
H
J
A
B
C
D
F
G
H
J
Jon drinks 10 sodas a week. Which graph correctly represents the unit rate for this proportional relationship?
Which representation shows y as a function of x?
A
B
c
D
Which graph does NOT represent y as a function of x?
A
B
C
D
Which set of ordered pairs represents y as a function of x?
A
B
C
D
Which set of ordered pairs represents y as a function of x?
A
B
C
D
Which graph represents y as a function of x?
F
G
H
J
A
B
C
D
Q3
F
G
H
J
Q1
A
B
C
D
Write the equation of the line in slope-intercept form.
y = -2x - 5
y = 2x - 5
y = -2x
y = -1/2x - 5
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
y = 15x
y = 15x + 80
y = x +15
y = 80x + 15
F
G
H
J
A
B
C
D
F
G
H
J
Which representation does not show y as a function of x?
A
B
C
D
Which mapping represents a function
Which table of ordered pairs represents a function?
Which of the following sets of ordered pairs does not represent a function?
Look at the table.
Which number could fill the two empty cells to make the table a function
0
3
-2
5
Which of the following is a function?
A
B
C
D
Which of the following is NOT a function?
A
B
C
D
Look at the graph.
Which of the following is true for the graph?
The graph is a function
The graph is not a function
The graph shows a proportional relationship
None of the above
Which graph does not represent y as a function of x?
Direct Variation
y = kx
y = mx + b
Ax + By = C
x = my + b
What is the unit rate if the rate is 30 laps for 10 minutes.
3 laps per minute
10 laps per minute
15 laps per minute
10 laps per two minute
On a map scale, 2 inches represents 60 miles. Which graph best shows the relationship between x, the number of inches on the map, and y, the actual distance in miles?
A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate. Which table shows the relationship between the time in seconds , x, and the height of the balloon in feet, y?
A
B
C
D
F
G
H
J
Which best describes the graph represented in this table?
Is this table proportional or non-proportional?
y = 75x
The video game rental fee is $15 plus $3 per day.
Is this graph proportional?
Yes because it is a straight line and goes through the origin
No because it is not a straight line but goes through the origin
No because it is not a straight line and does not go through the origin
No because it is a straight line but does not go through the origin
Which could not be a proportional situtation?
The number of gallons of water in x barrels with 42 gallons of water in each barrel
The amount an employee who makes $8.50 per hou ears in h hours
The weight in a x weeks of a puppy that gains 2 pounds oer week if its starting weight is 8 pounds
The cost of purchasing p pounds of bananas for $0.55 per pound
Which situation represents a proportional situation?
The cost of purchasing a basket of oranges for $1.30 per pound plus $5.00 for the basket
The cost of purchasing peaches for $7.00 per box pf peaches with a delivery charge of $3.00
The cost of purchasing grapefruit for $1.80 per pound with a coupon for $1.00 off the total cost
The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound
The approximate volume in milliliters, m, for a volume of fluid ounces, f, is equal to 29.57 times the value of f. Which table represents this relationship?
A water hose discharges at a rate of 45 gallons per minute. Which graph has a slope that best represents this rate?
Which situation could NOT represent a proportional relationship?
The number of gallons of water in x barrels with 42 gallons of water in each barrel
The amount an employee who makes $8.50 per hour earns in h hours
The weight in x weeks of a puppy that gains 2 pounds per week if its starting weight is 8 pounds
The cost of purchasing p pounds of bananas for $0.55 per pounds
What is the solution?
(1, -1)
(-1, 1)
(0, -2)
(0, 1)
y = x − 43
Y-intercept is
43
1
-1
−43
Slope-Intercept Form?
(y = mx +b)
What is the y-intercept of this function?
function
b = 4
m = 3/2
positive
-5
5
15
-15
A
B
C
D
F
G
H
J
A
B
C
D
F
G
H
J
Jon drinks 10 sodas a week. Which graph correctly represents the unit rate for this proportional relationship?
Which representation shows y as a function of x?
A
B
c
D
Which graph does NOT represent y as a function of x?
A
B
C
D
Which set of ordered pairs represents y as a function of x?
A
B
C
D
Which set of ordered pairs represents y as a function of x?
A
B
C
D
Which graph represents y as a function of x?
F
G
H
J
A
B
C
D
Q3
F
G
H
J
Q1
A
B
C
D
Write the equation of the line in slope-intercept form.
y = -2x - 5
y = 2x - 5
y = -2x
y = -1/2x - 5
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
y = 15x
y = 15x + 80
y = x +15
y = 80x + 15
F
G
H
J
A
B
C
D
F
G
H
J
Which representation does not show y as a function of x?
A
B
C
D
Which mapping represents a function
Which table of ordered pairs represents a function?
Which of the following sets of ordered pairs does not represent a function?
Look at the table.
Which number could fill the two empty cells to make the table a function
0
3
-2
5
Which of the following is a function?
A
B
C
D
Which of the following is NOT a function?
A
B
C
D
Look at the graph.
Which of the following is true for the graph?
The graph is a function
The graph is not a function
The graph shows a proportional relationship
None of the above
Which graph does not represent y as a function of x?
Direct Variation
y = kx
y = mx + b
Ax + By = C
x = my + b
What is the unit rate if the rate is 30 laps for 10 minutes.
3 laps per minute
10 laps per minute
15 laps per minute
10 laps per two minute
On a map scale, 2 inches represents 60 miles. Which graph best shows the relationship between x, the number of inches on the map, and y, the actual distance in miles?
A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate. Which table shows the relationship between the time in seconds , x, and the height of the balloon in feet, y?
A
B
C
D
F
G
H
J
Which best describes the graph represented in this table?
Is this table proportional or non-proportional?
y = 75x
The video game rental fee is $15 plus $3 per day.
Is this graph proportional?
Yes because it is a straight line and goes through the origin
No because it is not a straight line but goes through the origin
No because it is not a straight line and does not go through the origin
No because it is a straight line but does not go through the origin
Which could not be a proportional situtation?
The number of gallons of water in x barrels with 42 gallons of water in each barrel
The amount an employee who makes $8.50 per hou ears in h hours
The weight in a x weeks of a puppy that gains 2 pounds oer week if its starting weight is 8 pounds
The cost of purchasing p pounds of bananas for $0.55 per pound
Which situation represents a proportional situation?
The cost of purchasing a basket of oranges for $1.30 per pound plus $5.00 for the basket
The cost of purchasing peaches for $7.00 per box pf peaches with a delivery charge of $3.00
The cost of purchasing grapefruit for $1.80 per pound with a coupon for $1.00 off the total cost
The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound
The approximate volume in milliliters, m, for a volume of fluid ounces, f, is equal to 29.57 times the value of f. Which table represents this relationship?
A water hose discharges at a rate of 45 gallons per minute. Which graph has a slope that best represents this rate?
Which situation could NOT represent a proportional relationship?
The number of gallons of water in x barrels with 42 gallons of water in each barrel
The amount an employee who makes $8.50 per hour earns in h hours
The weight in x weeks of a puppy that gains 2 pounds per week if its starting weight is 8 pounds
The cost of purchasing p pounds of bananas for $0.55 per pounds
What is the solution?
(1, -1)
(-1, 1)
(0, -2)
(0, 1)
y = x − 43
Y-intercept is
43
1
-1
−43
Slope-Intercept Form?
(y = mx +b)
What is the y-intercept of this function?
function
b = 4
m = 3/2
positive
