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