One-Step Equations
Solve for x:
3x=9
x=3
Solve for x:
2+2x=8
x=3
What is the definition of the y-intercept?
The y-intercept is a location where a line crosses the y-axis.
How can you check your answers when solving equations?
Use your solution to the equation and plug it back into the equation, see if it works
4x = -12
After dividing both sides by 4, x=3 is a solution to this one step equation
After dividing both sides by 4, x=-3 is a solution to this one step equation
Solve for x:
x/2 = 1
x = 2
Solve for x:
2x+32 =10x
x=4
What do you look for in a table to determine the y-intercept?
(0,b) Looking for an entry with 0 for an x value
How many basic operations are there for solving equations and what are they?
4, addition, subtraction, multiplication, and division.
6x+3=15
6x=18
x=3
When subtracting 3 from both sides, 15-3 is 12, not 18.
Solve for x:
10=-2x
x=-5
Solve for x:
17=3x-4
x=7
How do you determine the slope of a table?
Change in y over the change in x
This is the math term referring to numbers that are UNKNOWN when solving equations.
Variables
4x-2=10
2x=10
x=5
Subtracting constants from variables is not ok, instead add 2 to both sides.
Solve for x:
x-1=-1
x=0
Solve for x:
10=x/9+8
x=18
How do you determine the slope of a graph?
Rise over Run
This is the math term referring to the numbers that are KNOWN when solving equations.
Constants
5x+6=11x
5x=5
x=1
Subtracting the constant, 6, from both sides was the wrong move. Additionally, it was subtracted from 11x, which is not ok either!
Solve for x:
-4x=-2
x=1/2 or .5
Solve for x:
-2x=-3x+1
x=1
When comparing two functions, how do mathematicians know which function is which?
They give functions names, like f(x) and g(x)
The "=" sign can by symbolized using what object? We used this when we first started the equations unit.
A balance or scale
4x-4=0
After subtraction this equation has no possible solutions
The correct move isn't to subtract, but to add 4 to both sides, thus the answer is x=1