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3.0 Unit 3 Assessment

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Last updated about 1 year ago
18 questions
12
5
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24
15
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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.

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?

Question 7
7.

How much do personal finance experts recommend having saved in an emergency fund?

Question 8
8.

Over the last twenty years, how have wages changed compared to the costs of housing, healthcare, and education?

Question 9
9.

Which statement is MOST accurate regarding 529 plans and health savings accounts (HSAs)?

Question 10
10.

Order these types of accounts by their typical or average interest rate offered, from lowest to highest.

Question 11
11.

The majority of Americans...

Question 12
12.

Angelina just got a part-time job, and her sister recommends she “pay herself first.” What is she talking about?

Question 13
13.

A Roth IRA is best described as…

Question 14
14.

You are given the system:
y=2x+4
y=2x-7
How many solutions will there be?

Question 15
15.

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?

Question 16
16.

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

Question 17
17.

4x+2y=7 represents a linear equation in standard form.  Which of the following is the same equation in slope-intercept form?

Question 18
18.

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?