Vocabulary
This is a point that two equations have in common. Where two lines cross.
What is the point of intersection?
The solution to x in the equation
0.21x+0.06=1.74
What is x = 8?
The solution to the systems of equations using the equal value method
y=2x - 3 and y=-x + 3
What is (2,1) or x = 2 and y = 1?
The solution (point of intersection) to the systems of equation by graphing
y=x+1 and y=-x-3
What is (-2,-1) or x = -2 and y = -1?
To rent jet ski at Sam's cost $25 plus $3 per hour. At Claire's, it costs $5 plus $8 per hour. This is when the rental cost will be the same at both shops and how much it costs when they are the same.
What is at 4 hours and they will both cost $37.00?
This is two or more lines, equations, used to find the point of intersection.
What is system of equations?
The solution to x in the equation
x/4+(3x)/2=21/4
What is x = 3?
The solution to the system of equations using the equal value method
y=4x-2 and y=1/2x+5
What is (2,6) or x = 2 and y = 6?
The solution (point of intersection) to the systems of equation by graphing
y=50x+20 and y=-30x+100
What is (1,70) or x = 1 and y = 70?
Moe has $35 in savings and earns $20 per week delivering papers. Larry has $60 in savings and earns $10 per week doing yard work. This is when Moe and Larry will have the same amount of money and the amount of money both will have.
What is at 2.5 weeks and both will have $85.00?
This is a non-graphing method used to find the point of intersection or solution to a system of equations. When two expressions equal the same variable you can set them equal to each other.
What is the equal value method?
The solution to x in the equation
x/3+(2x)/5=1/15-4/5
What is x = -1?
The solution to the systems of equations using the equal value method
y=2x+5 and y-x=9
What is (4,13) or x= 4 and y = 13?
The solution (point of intersection) to the systems of equation by graphing
y=-4/5x+200 and y=5/4x+33
What is (81.463,134.829) or x = 81.463 and y = 134.829?
Aqua Town charges $4.50 admission plus $0.75 for each ride. The cost at Wet World is $2.50 admission plus $1.25 per ride. This is how many rides need to be ridden for it to cost the same to go to both places and the cost at that many rides.
What is 4 rides at the cost of $7.50?