Solving linear equations
Equivalent equations
Which variable to solve for?
Connecting equations to graphs
Vocabulary
100
The inverse of subtraction
Addition
100
Equations are equivalent when...
They have the same answer; they can be written in the same way
100
What does "solving for the variable" mean?
Finding the value of the variable that makes the equation true
100
What are the two forms of linear equations?
Standard form and slope-intercept form
100
Where the graph touches the y-axis
y-intercept
200
What is the value of x for
x/4=24
x = 96
200
What process was used to change the equation?
Distributive property
200
Rearrange the following equation so it says y = :
x/y=10
y=x/10
200
Where is the x-intercept for the following equation?
4x-3y=36
x = 9
200
What this form is called
Ax+By=C
Standard form
300
What is the value of x for
7x-9=40
x=7
300
Why are these equations NOT EQUIVALENT?
The terms were not combined correctly; the wrong operation was done
300
A Honda Civic gas tank has 6.8 gallons. It keeps filling up with gas at a rate of 0.04 gallons per second. Write an equation for y, the number of gallons of gas in the tank after s seconds.
y=0.04s+6.8
300
C
300
A letter that represents a value we do not know or can change
Variable
400
What is the value of x for
6x+4=5x-10
x = -14
400
TRUE OR FALSE: The following two equations ARE EQUIVALENT
6x+9=12
2x+3=4
TRUE
400
Rearrange the following equation so that x is by itself.
2x+y=-12
x=(-12-y)/2
x=-6-y/2
400
What is the slope for this graph?
slope = 250
400
Multiplying a number outside of parentheses with everything inside the parentheses
Distributive property
500
What is the value of x for the function
(3(x+2))/5=18
x = 28
500
Write an expression equivalent to the following:
y = (-6x-4)/2
y=-3x-2
y=1/2(-6x-4)
y=-(3x+2)
500
Noah is selling concert tickets where kids tickets cost $8 and adult tickets cost $12. He wants to raise $300. Write an equation for this situation, where k is kids tickets and a is adult tickets
8k+12s=300
500
TRUE OR FALSE: Based on the graph, if 15 adults go to the zoo, then 10 children can go.
FALSE
500
Rise over run; the steepness of a line
Slope