Solve and Simplify
Solve and Simplify
Graphing/Visual Representation
Connections/Applications
100
Solve for the specified variable.
m/3- 2m/5=1/5
M = -5
100
x/4 + x/8 = 6
x = 16
100
Write a rule for the TOP table below
y = 1/2x + 3
100
To rent a jet ski at Sam’s costs $25 plus $3 per hour. At Claire’s, it costs $5 plus $8 per hour.
Write a system of equations to represent each shop’s charges. DEFINE YOUR VARIABLES!
y =3x + 25
y = 8x + 5
x - The number of hours of the rental
y - The cost of the rental
200
Solve the equation for the variable.
5x/6 + 7/12 = 2x/3
x = -3.5
200
Change this equation from standard form to slope intercept form.
3x + y = -15
y = -3x - 15
200
Write a rule for the BOTTOM table below.
y = 5x - 6
200
When the local gym opened, it had 35 members. Each month they gained the same amount of members. They are tracking their total members using the table shown.
What is the rule for this situation?
y = 8x + 35
300
Change this equation from standard form to slope intercept form.
-12 + 2y = 6x
y = 3x + 6
300
How many solutions does the system have?
No Solution
300
What is the rule for each line and what is the solution to this system of equations.
Red: y = -2x - 3
Blue: y = -2x + 5
Solution: No Solution, the lines are parallel so they have no point of intersection
300
When the local gym opened, it had 35 members. Each month they gained the same amount of members. They are tracking their total members using the table shown.
Alyssa thinks that the gym will have 115 members in 10 months if they keep growing at this same rate.
Is she correct or incorrect? Explain in depth.
Yes, Alissa is correct that the gym will have 115 members in 10 months.
y = 8x + 35
115 = 8(10) + 35
115 = 80 + 35
115 = 115
400
Solve the equation for the variable
x+2/3 = x-2/7
x = -5
400
Change this system of equations into slope intercept form.
-14 + 2x + 2y = 3x - 8
3x + 2 + y = 2x + 2
y = 1/2x + 3
y = -x
400
What is the rule for each line and what is the solution to this system of equations.
Red: y = 4x
Blue: y = -3x + 7
Solution: (1, 4)
400
When the local gym opened, it had 35 members. Each month they gained the same amount of members. They are tracking their total members using the table shown.
How many members will the gym have in 2 years?
The gym will have 227 members in 2 years
500
How many solutions does the system have? Hint, you should turn one of them back to y=mx+b form!
Infinite Solutions
500
Give the solution (x,y) to the system of equations
(-1, 4)
500
What is the solution for the table below. Hint you have to find the rules and then solve that system of equations.
(2, 4)
500
Tony and Cleo are donating some of their books to a hospital. Tony has already donated 20 books and will contribute 2 more books each month. Cleo has already donated 8 books and will contribute 4 more books each month.
After how many months will they have contributed the same number of books? How many books will they each have contributed at that time?
Find the two rules (one for Tony and one for Cleo) and solve the system of equations to find the answers.
After 6 months both Tony and Cleo will each have contributed 32 books