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3.0 Unit 3 Assessment

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Last updated over 1 year ago
18 questions
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Question 1
1.
Maruice opens a savings account with an initial balance of $450 and saves $50 each month. Cam'ren opens a savings account with an initial balance of $100 and saves $100 each month.

Write a system of equations in slope intercept form representing this scenario.
_______ _______

How many months will it take for Maurice and Cam'ren to have the same balance? _______ How much will they have at that point? $_______
Question 2
2.
The equation for the perimeter of a rectangle is
where L and W represent the length and width of the rectangle.  _______ Solve the perimeter equation for W, show your work for full credit.
Question 3
3.
Solve the following system of equations: Show your work for full credit


_______
Question 4
4.
Nadia decided to deposit her graduation gift money in two different savings accounts. Account X has an interest rate of .5% and Account Y has an interest rate of .25%. Altogether, she received $5000 from graduation. If after the first year her interest earned was $21.25, how much was deposited into each account?
  1. Define your variables (x and y) by assigning them to the real-world quantities in the problem.
x = amount deposited into Account x
y = amount deposited into Account y
b. Write a system of equations in standard form you can use to solve for those quantities.
Equation1: x+y= _______
Equation 2: .005x+.0025y= _______
c. Calculate the x and y intercepts for both equations.
1st Equation:
x intercept = _______
y intercept = _______
2nd Equation:
x intercept =_______
y intercept = _______
d. How much was deposited in each account? Use whatever method you want to solve the system of equations, just show your work for full credit.
Account x =_______
Account y=_______
Question 5
5.
You and your sister have been saving and decide to buy a Playstation 5 together. You need $500 to buy the Playstation. Together you have $850 saved up. Since you have more money, you contribute 50% of your savings and your sister contributes 75% of hers toward the $500 cost. How much do each of you have saved individually?
  1. Write a system of equations in standard form to model this situation.
_______ _______
b. Solve this system of equation using elimination
You have saved: _______
Your sister saved: _______
c. Why might elimination be a good solution method to use in this instance? Because the equations are already in _______ form.
Question 6
6.

Question 7
7.

Question 8
8.

Question 9
9.

Question 10
10.

Question 11
11.

Question 12
12.

Question 13
13.

Question 14
14.

Question 15
15.

Question 16
16.

Question 17
17.

Question 18
18.

Jayda is going to use the 50/30/20 rule in order to save $3000 for her family’s next big vacation. Her monthly income is $2500. How many months will it take her to reach her savings goal?
2.4 months
4 months
5 months
6 months
How much do personal finance experts recommend having saved in an emergency fund?
1-3 month of expenses
3-6 month of expenses
6-9 months of your salary
1-2 years of expenses
Over the last twenty years, how have wages changed compared to the costs of housing, healthcare, and education?
Wages have increased at a slower rate than those costs
Wages have increased at the same rate as those costs
Wages have increased at a faster rate than those costs
Wages have decreased as those costs have increased
Which statement is MOST accurate regarding 529 plans and health savings accounts (HSAs)?
529 plans can be used for education expenses while HSAs can be used for health expenses
529 plans allow you to invest for retirement while HSAs allow you to invest for future health expenses
529 plans have tax advantages while HSAs do not
529 plans and HSAs are both used to provide income during retirement
Order these types of accounts by their typical or average interest rate offered, from lowest to highest.
Money Market, Savings, CD, Checking
Checking, Savings, Money Market, CD
Savings, Money Market, CD, Checking
Checking, Savings, CD, Money Market
The majority of Americans...
Have an adequate emergency fund but do NOT have enough saved for retirement
Do NOT have an adequate emergency fund but have enough saved for retirement
Have an adequate emergency fund and have enough saved for retirement
Do NOT have an adequate emergency fund and do NOT have enough saved for retirement
Angelina just got a part-time job, and her sister recommends she “pay herself first.” What is she talking about?
Angelina should set aside part of every paycheck for savings before she does any spending
Angelina should start her own business rather than being someone else’s employee
Angelina should spend the money she needs before she lends any to friends or gives to charity
Angelina should deposit her check as quickly as possible before taxes can be taken out
A Roth IRA is best described as…
A checking account from which you pay your healthcare bills
A retirement investment account with specific tax advantages
A specialized savings account that allows you to save for college
A savings account at an online-only bank
You are given the system:
y=2x+4
y=2x-7
How many solutions will there be?
There will be no solution
There will be one solution
There will be two solutions
There will be three solutions
Jennifer’s saving balance is represented by the line y = 40x + 20 graphed below. Aaliyah’s savings balance is represented by the line y = 30x + 90 graphed below. What does the intersection of the two lines represent?
Aaliyah is saving $7 more than Jennifer per week
Aaliyah has saved $300 more than Jennifer after 7 weeks
They both saved $300 per week in the 7th week
They both have saved $300 total after 7 weeks
Joshua is solving this system of equations by eliminating y first. Which of the following options below shows the correctly multiplied pair of equations?
12x+6y=10
2x+3y=8
12x + 6y = 10 -12x + (-36y) = -48
12x + 6y = 10 -12x + (-18y) = -48
12x + 6y = 10 -24x + (-6y) = -16
12x + 6y = 10 -4x + (-6y) = -16
4x+2y=7 represents a linear equation in standard form.  Which of the following is the same equation in slope-intercept form?
Madelyn sells seashells by the seashore. Blue shells cost $3 and pink shells cost $4. Madelyn sold 22 shells and made $76. Which of these correctly expresses the system of equations in standard form?
x+y=22
y=-x+22
y=-x+76
x+y=76