Vocabulary
What is the definition of slope?
The rate of change of a line. It can also be refereed to as rise over run
What is the equation for slope intercept form?
Y=mx+b
Is 5+4x=15 one solution, infinite solutions or no solutions?
One Solution
What are the four steps for an equation using elimination method?
include the combination of like terms, the isolation of terms containing variables, the isolation of the variable and the substitution of the answer into the original equation to check the answer.
What is the meaning of y-intercept?
a y -intercept is a point on the graph where x is zero. Also a y -intercept is a point in the equation where the x -value is zero.
How do you figure out an equation using point slope form formula?
y-y1=m(x-x1)
What type of solution is this?
x+5=5+x
Infinite Solutions
What are the types in solving an equation using the substitution method?
Writing down the algebraic expression then replace the letter with the number value and work out the finale answer.
Define the meaning of x-intercept
The x-coordinate of a point where a line, curve, or surface intersects the x-axis
How do we write an equation using standard form?
2x+4y=8
What type of solution is this equation?
x+3=6+x
What are the steps in solving an equation using the graphing methods?
Step up each equation to be graphed in slope intercept form meaning to solve for y then graph each equation and look for the intersection point and write the ordered pair as your answer, finally check your answer by substituting the point in both equations.
What is the definition of intersection?
The intersection of two sets A and B which is the set that contains all elements of A that also belong to B but no other elements.
Solve using standard formation
3x=8-6y
3x+6y=8
A=3, B=6, C=8
What type of solution is 2x+8=2x+3
No Solution
What is the definition of the elimination method?
Solving the system of equations, by cancelling unknowns in the system.
infinite solutions means when graphed the two equations would form the same line.
How do you write this equation in slope- intercept form?
4x+y=-1
y=-4x-1
What type of equation is 6(x+1)=6x+6
Infinite Solutions
What is the definition of substitution method?
Substitution method is an algebraic method used to find an exact solution of a system of equations.