Various Topics
Vocabulary
graph <-> equation
simplify the expression
3 to multi-step equations
100
A line is proportional if.......
If it passes through the origin
100
A _____ is an unknown amount/quantity or value.
A variable is an unknown amount/quantity or value.
100
what is the equation for this line?
y = 3x + 3
100
6m – 5m + 1
m+1
100
3m-1=m+5
3m-1=m+5
2m=6
m=3
200
what are the 3 possible solutions to an equation?
no solution
one solution
infinite solution
200
___ ___ have the same variable or no variable
like terms have the same variable or no variable
200
what is the y intercept in this equation?
y = 4x-7
-7
200
-6x(4-5)
-24x+30x=6x
200
-5-3x=2x+10
x=-3
300
Step 2 in solving linear equations is:
combine like terms
300
_____ means to put together; add.
What is combine?
300
Write the equation for this line
y = 12x + 6
300
9-3d(6+9)
9-18d-27d=
9-45d
300
4n-40=7(-2n+2)
4n-40=7(-2n+2)
n=3
400
Step 3 in solving linear equations is:
Isolate the variable
400
what is the "b" in y = mx+b stand for?
The Slope intercept
400
y = -5x + 35
400
-4(-5f-3) +11 - 2f
-4(-5f-3) +11 - 2f
20f+12+11-2f
18f+23
400
38+7k=8(k+4)
k=6
500
What are the 3 substeps to isolate the variable?
1. Put all the "X's in Texas", variables to one side
2. Put the constant accross the = sign,
3. multiply/divide to make the X singular
500
what are the 3 other terms that mean "slope"?
rise over run (a fraction)
unit rate
constant of proportionality
500
What should you do first to graph this equation?
plot the point of the y-intercept
500
g-4m+2(m-3)+6-2g
-g-2m
500
4(-8m+5)=-32m-26
4(-8m+5)=-32m-26 no solution