Forms of linear Equations
Standard Form
Graphing
Solve Systems Algebraically
Systems Word
100
What form is this equation in?
y=3x+1
slope-intercept form
100
Is this standard form?
3x+y=7
Yes
100
Solve the system by graphing.
y= -2x -3
y= 2x +5
(-2, 1)
100
Solve the system algebraically.
y=x-3
y= 2x
(-3, -6)
100
A total of 75 cookies and cakes were donated for a bake sale to raise money for the football team. There were four times as many cookies donated as cakes.
Write a system of equations to represent this situation.
x = # of cakes, y = # of cookies
y=4x
x+y=75
200
What form is this equation in?
3x+2y=10
Standard form
200
Find the x-intercept of the line from the equation. Write your answer as an ordered pair.
3x+4y=12
x-int: (4,0)
200
Solve the system by graphing.
y= x -1
y= 2x -2
(1, 0)
200
Solve the system algebraically.
y=x+4
y=2
(-2, 2)
200
A total of 75 cookies and cakes were donated for a bake sale to raise money for the football team. There were four times as many cookies donated as cakes. When x = # of cakes and y = # of cookies, the situation can be represented with the equations
y=4x
x+y=75
How many cakes and cookies were donated?
(15, 60); 15 cakes and 60 cookies
300
What form is this equation in?
y=mx+b
Slope-Intercept Form
300
Find the y-intercept of the line from the equation. Write your answer as an ordered pair.
2x+5y=-20
y-int: (0,-4)
300
Solve the system by graphing.
y=4x
y -x=3
(1, 4)
300
Solve the system algebraically.
y=x -6
y=3x
(-3, -9)
300
Together Preston and Jason have 49 video games. James has 11 more games than Preston. How many games does each person have?
Preston has 19 games and James has 30
400
What form is this equation in?
2x-y=0
Standard Form
400
Find the y-intercept of the line from the equation. Write your answer as an ordered pair.
4x-6y=30
y-int: (0,-5)
400
Solve the system by graphing.
y=x+3
2x+y=-3
(-2,1)
400
Solve the system algebraically.
y= 3x +8
8x+4y=12
(-1, 5)
400
The cost of 8 muffins and 2 quarts of milf is $18. The cost of 3 muffins and 1 quart of milk is $7.50. How much does it cost for 1 muffin and 1 quart of milk cost (individually)?
1 muffin=$1.50
1 quart of milk = $3
500
What form is this equation in?
y=2x
Slope-intercept Form
500
Graph the line from the equation using intercepts.
4x-8y=-16
x-int: (-4,0) y-int: (0,2)
500
Solve the system by graphing.
-x+y=0
-2x+y= -4
(4, 4)
500
Solve the system algebraically
2x+5y=44
y= 6x -4
(2, 8)
500
Elaine bought a total of 15 shirts and pairs of pants. She bought 7 more shirts than pants. How many of each did she buy?
Elaine bought 11 shirts and 4 pairs of pants.