Solutions to Equations
Solve Equations
Solutions on a Graph
Random Unit 4
What Method is Best?
100
Is (2,-1) a solution to this system of equations?
Yes, it provides a true statement when plugged in
100
Solve for p
rp=k
p=k/r
100
Is (-3, 1) a solution to this system of equations?
No
100
What is the LCD that you would use to multiply all terms of this equation?
1/3x-3/4y = -5/12
Multiply all terms by 12
100
What method is best to use? Elimination or substitution?
Elimination
200
Is (-2, -2) the solution to this system of inequalities?
No, it does not provide a true statement when plugged in
200
Solve for y
2y+3x=10
y=-3/2x+5
200
What is the solution to this system of equations?
(1, -2)
200
Suzie invests $600 into a retirement account that increases by 8% per year. Write an exponential equation (geometric explicit) for the scenario.
t(n)=600(1.08)^n
or
y=600(1.08)^x
200
What is the best method to solve this system of equations? Elimination or Substitution?
Substitution, already solved for y
300
How many solutions does this system of equations have?
-9x + 3y =-15
y = -3x +5
Infinite, they are the same line
300
Solve for x.
x+x/2=x/4+10
x=8
300
What is the solution to this system of equations?
No solution
300
What two equations could represent this situation?
The total cost for a burger is $2.25. You pay using only quarters and dimes. You used 15 coins total.
0.25x+0.10y=2.25
x+y=15
300
What method is best to use for this system? Elimination or substitution?
Elimination, multiply the top equation by -2 or 7
400
Solve the following system of equations:
(6, -7)
400
Solve for x.
8(x-2)=4(5-x)
x=3
400
How many solutions are there to this system?
One Solution
400
What two equations could represent the following situation:
At Vons you bought 4 oranges and 6 limes for $3.00.
The next day you bought 2 oranges and 8 limes for $2.20
What is the price of an orange?
4x+6y=3.00
2x+8y=2.20
400
Solve this system of equations. How many solutions are there? (One, Infinite or None?)
No solutions
500
What do the graphs of two lines with infinite solutions look like?
The same line
500
Solve for x.
(x-7)(x+3)=(x-10)(x+3)
x=-3
500
How many solutions are there for the line?
Infinite Solutions
(There are an infinite number of points on the line)
500
What is the 6th planet from the sun?
Saturn
500
What method is best to solve this system of equations?
Graphing