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? $_______
5 points
5
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.
5 points
5
Question 3
3.
Solve the following system of equations: Show your work for full credit
_______
24 points
24
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?
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=_______
15 points
15
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?
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.
3 points
3
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?
3 points
3
Question 7
7.
How much do personal finance experts recommend having saved in an emergency fund?
3 points
3
Question 8
8.
Over the last twenty years, how have wages changed compared to the costs of housing, healthcare, and education?
3 points
3
Question 9
9.
Which statement is MOST accurate regarding 529 plans and health savings accounts (HSAs)?
3 points
3
Question 10
10.
Order these types of accounts by their typical or average interest rate offered, from lowest to highest.
3 points
3
Question 11
11.
The majority of Americans...
3 points
3
Question 12
12.
Angelina just got a part-time job, and her sister recommends she “pay herself first.” What is she talking about?
3 points
3
Question 13
13.
A Roth IRA is best described as…
3 points
3
Question 14
14.
You are given the system:
y=2x+4
y=2x-7
How many solutions will there be?
3 points
3
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?
3 points
3
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
3 points
3
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?
3 points
3
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?