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NJSLA Questions

Last updated over 3 years ago
62 questions
I will continue to add problems to this assignment.
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In the graphs depicted below T(x) = k M(x). Find the "k"

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In the graphs depicted below G(x) = k F(x). Find the "k'

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In the graphs depicted below F(x) = Q F(x). Find the "k"

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In the graphs depicted below F(x) = k T(x). Find "k"

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In the graphs depicted below G(x)= k F(x). FInd the "k"
All indicated points have integer coordinates

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In the graphs depicted below F(x) = k H(x). Find "k"
All indicated points have integer coordinates

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In the graphs depicted below F(x) = k H(x). Find "k"
All indicated points have integer coordinates.

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In the graphs depicted below R(x) = k G(x). Find "k".
All indicated points have integer coordinates.

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150 high school juniors were surveyed in regard to what flavor
ice cream they preferred. The results are tabulated below.

Based upon the information in the chart above which of the statements
below are true. Select ALL that apply.

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215 sophomores were surveyed in regard to their favorite pie.
The results are tabulated below.

Based upon the information in the chart above which of the statements
below are true. Select ALL that apply.

Laura wants to save money to purchase a used car. Because she is
still attending school she can only work part time. Laura
discovered that she can work as a cashier for $25 per hour, and as
a tutor for $30 per hour or work as a cashier and do tutoring.
Laura wants to earn a minimum of $900 each month, however she
can only work a maximum of 40 hours each month. Let “x”
represent the number of hours that Laura can work as a tutor, and
let “y” represent the number of hours that she can work as a
cashier.
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Part A
Which graph depicted below shows the set of all of the points that
represent the number of hours that Laura can work in order to earn at
least $900 each month, and not work more than 40 hours per month?

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Part B.
Which of the following pairs of points represent the hours that Laura
could work to meet the given conditions?

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Part C.
Laura prefers tutoring to working as a cashier. What is the minimum
number of hours that she can work each month and earn at least $900?
Round off to the nearest hour.

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Part D.
If Laura can only work 8 hours each month tutoring what is the least
number of hours that she must work as a cashier in order to earn $900
each month. Round off to the nearest hour.

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Part E.
If Laura can only work 15 hours as a cashier what is the minimum
number of hours that she must work as a tutor in order to ern $900 each
month? Round off to the nearest hour.

Anthony wants to earn money to spend on his summer vacation. He
would like to earn at least $700 per month. He can deliver groceries for
$20/hr., stock shelves for $25/hr., or work a combination of both
delivering groceries and stocking shelves. Because he is still going to
school he can only work at maximum of 35 hours each month. Let “x”
represent the number of hours that Anthony works delivering groceries,
and let “y” represent the number of hours that he spends stocking
shelves.
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Part A
Which graph shows the set of points that represent the number of hours
that Anthony can work in order to earn at least $700 per month, and not
work more than 35 hours per month?

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Part B
Which of the following pairs of points represent the hours that Anthony
could work to meet the given conditions?

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Part C.
If Anthony works a total of 7 hours stocking shelves, what is the
minimum number of hours that he can work delivering groceries to earn
at least $700?
Give your answer to the nearest hour.

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Part D.
Anthony prefers stocking shelves over delivering groceries. Out of 35
total hours, what is the minimum number of hours that he can work
stocking shelves to be able to earn at least $700 per month?
Give your answer to the nearest hour.

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Juan and Sara made candy apples to sell at a fundraiser for
Northview High School.
• Juan made 20% more candy apples than Sara
• The candy apples sold for $0.75 each
• After the sale 30% of the combined total of their candy apples
remained.
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Create an equation to represent the total amount of money Juan and
Sara earned from the fundraiser based on the number of candy apples
“s” Sara made.

In Show your work, Explain how you determined your equation.

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Part B
Juan and Sara made a total of $924 selling candy apples. How many
candy apples did Juan make, and how many candy apples did Sara make?
Show your work.

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Part C.
Next year Juan and Sara may sell the same type of candy apple for $0.89
each. They plan to make the same number of candy apples as they did
for this past fundraiser, but predict that they will only sell 65% of them
given the increase in price. Based on your prediction, should Juan and
Sara raise the price of the candy apples. Justify your answer.

Alex and Nicole baked cupcakes to raise money for last month’s
Junior Prom.
• Alex baked 10% more cupcakes than Nicole
• The cupcakes sold for $0.90 each
• After the sale 40% of the combined total of cupcakes that they
baked remained unsold.
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Part A
Based on the number of cupcakes that Nicole baked “N” create an
equation to represent the total amount of money Alex and Nicole earned
for their Junior Prom from the sale of their cupcakes.

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Part B
Alex and Nicole made a total of $567 selling cupcakes. How many
cupcakes did Alex bake, and how many cupcakes did Nicole bake? Show
your work.

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Part C
Next year for Alex and Nicole’s Senior Prom they plan to bake the same
number of cupcakes that they baked for their Junior Prom, but make
them larger and increase the price to $1.10 each. They predict that
because of the increase in price that they will sell 70% of the cupcakes
that they bake next year. Based on their prediction should Alex and
Nicole raise the price of the cupcakes next year? Justify your answer.

Phil and Matt baked cookies for a fundraiser at their high school.
• Phil baked 25% more cookies than Matt.
• The cookies sold for $0.25 each.
• After the sale, 20% of the combined total number of cookies baked
by Phil and Matt remained.
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Part A
Create an equation to represent the total number of money Matt and
Phil earned at the fundraiser based on the number of cookies “M” that
Matt baked. Explain how you determined your equation.

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Part B
Phil and Matt made a total of $72.00 selling cookies. How many cookies
did Phil bake, and how many cookies did Matt bake? Show your work.

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Part C
Next year Phil and Matt may sell cookies for $0.50 each. They plan to
bake the same number of cookies, but they predict that they will sell
only 70% of them given the price increase. Based on their prediction,
should Phil and Matt raise the price of the cookies? Justify your answer.

A high school is having a talent contest and will give different prizes
for the best “5”s in the show. First prize wins the most money, and
each place after that wins $50 less than the previous place.
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Part A
Create a model that can be used to determine the total amount of prize
money for EACH of the five prizes. Show ALL of your work!

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Part B
The talent contest has a total of $1,000 in prize money. What is the
amount of money for EACH of the five places? Show ALL of your work!

Six buckets are moving along a conveyor belt, one in back of
another. Once in position sand is poured into the buckets, in such a
manner that the first bucket receives the most sand, and each of the
remaining buckets receives 10 pounds less than the bucket in front
of it.
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Part A
Create a model that can be used to determine the total amount of sand
that is poured into all “6” buckets. Base your model on the amount of
sand “S” that is poured into the first bucket.

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Part B
If the Total amount of sand add to the buckets is 450 pounds, find the
amount of sand poured into each bucket.

A number of students decide that they will form “5” teams for the
purpose of baking cookies to raise money for the Freshman dance.
Members of the first team agree that they will bake the most cookies.
Each of the other teams agree to bake 120 fewer cookies than the
previous team.
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Part A
Create a model that can be used to determine the total number cookies
baked by ALL of the teams. Base your model on the amount of cookies
“C” baked by the first team.

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Part B
If the total number of cookies baked by the 5 teams is 4,000, find the
number of cookies baked by EACH team.

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Part A: Find the depth "D" of the box._______
Part B. If the height "H" of the box is
Find the Volume of the box _______
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The area of a trapezois is given by the formula

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A local theater sells admission tickets for $9.00 on Thursday nights.
At capacity, the theater holds 100 customers. The function M(n) = 9n
represents the amount of money the theater takes in on Thursday nights,
where “n” is the number of customers. What is the domain of M(n) in
this context?

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Tanya will make cookies for her best friend’s birthday party. The function B(n) = 12 n represents the number of cookies that Tanya will bake for the party, where “n” represents the number of dozens of cookies that she bakes. Each of the pans can hold as many as 3 dozen cookies, and she will fill a pan once she begins. She intends to bake cookies on pans that she will fill with cookie dough where. Tanya will bake as many as 14 pans of cookies. In this context what is the domain of B(n)?

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Tanya actually baked all 14 pans of cookies, however only needed 9 pans of cookies of the party. Since the remaining cookies were still fresh she decided to raise money for the Freshman class by selling those cookies at school next day. The cookies sold for $0.20 each. The function R(x) = $0.20 x represents the total amount of money that Tanya was able to
raise by selling the cookies. In this context the domain of “x” is which of the following?

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The Water Watch program is encouraging customers to reduce the amount of water they use each day. The program is selling low-flow showerheads, which use 2 gallons of water per minute, for $54.00 each. A family currently has a showerhead that uses 5 gallons of water per minute and is considering replacing it with one of the low-flow showerheads. The family uses the shower an average of 20 minute0s per day and pays $0.002 per gallon of water. 26.

Create a model that can be used to determine the cost savings, in dollars, for the family to purchase and use a low-flow showerhead in terms of the number of days. Then determine the number of days at which the family will start saving money. Justify your answer in terms of the context. Enter your model, answer, and justification in the space provided.

Maria owes a hair salon that operates 8 hair dryers, each for 5 hours per
day. Each hair dryer uses 1.5 KWH (kilowatt hour) of electricity. The
current cost of a KWH of electricity is $0.14.
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Part A
Find the cost, to the nearest penny, to operate all of the hair dryers each
day.

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Part B
Maria decides to replace all of the dryers with new more efficient hair
dryers that use 1.0 KWH of electricity. The total cost of the new hair
dryers will be $300. 44
Create a model that will indicate the savings each day by switching to the
new hair dryers. In your model let “d” represent the number of days.

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Part C
Find the number of days that the new dryers must be used before Maria
begins to save money. Round off to the nearest day.