This is where the graph crosses the y-axis
What is the y-intercept?
SOLVE: x + 7 = 2x + 3
x = 4
What are these called on a graph?
(-3, 4)
What is coordinates or ordered pair
The ferris wheel is 75 feet taller than the zipper. If the ferris wheel is 315 feet tall, how tall is the zipper?
Define a variable, write an equation, and state the solution.
x- the height of the zipper, x + 75= 315, x=240 feet
Solve this system:
y=3
x+y=5
x=2
y=3
(2,3)
rise over run
What is the slope?
SOLVE: 5x + 2 = 4x + 8
x = 6
Draw and label an x and y axis
Lemme see
A giraffe is 18.7 feet taller than a camel. If a giraffe is 42.5 feet tall, how tall is a camel? Define a variable, write an equation and state the solution.
What is x= height of a camel, x+ 18.7= 42.5, x= 23.8 ft
Solve this system
x+2y=5
y=x+1
x=1
y=2
(1,2)
This is the name of the solving method that involves replacing a variable with an expression it is equal to.
What is substitution?
Write 2 equations that are equivalent. Show that they are equivalent.
Answers vary.
Draw a graph and identify a solution.
Answers vary.
Susan paid $4.15 for a slice of pizza. She now has $12.30. How much money did she start with? Define a variable, write an equation and state the solution.
What is x= amount of money she started with, x - 4.15=12.30, x = 16.45
Solve this system:
2x-y=4
y=x+2
x=6
y=8
(6,8)
This is the solving method in which we eliminate a variable from a system of equations in order to solve for the other.
What is elimination?
SOLVE:
2(3x-5)=20
x= 5
Write an equivalent equation that reflects the slope and vertical intercept for 5x+4y=20.
y=-5/4x+5
Melissa bought some shirts at $10 each and some pants at $30 each. She spent $110 before tax.
Write an equation and define the variables.
10x + 30y = 110
x = shirts
y = pants
Solve this system:
2x + y = 5
-2x +2y = 7
x=1/2
y=4
(1/2 , 4)
This is when the equations have the same slope, but different y-intercepts.
What is no solutions?
SOLVE to the nearest whole number:
-3(x+5)-7=11
x=-11
What is the slope of the linear equation 8x+7y=34?
-8/7
Bob bought some almonds at $5 a pound, and some dried figs at $10 a pound. She spent $75 before tax.
Define the variables, write an equation.
5x + 10y = 75
x is almonds, y is figs
Solve this system:
3x + 2y = 5
2x + 3y = 5
x = 1
y = 1
(1,1)