Graphing Linear Equations in Two Variables Info
Slope Terms
Linear Systems Solutions
Exponents and Multiplying Polynomials
Multiplying and Dividing Polynomials
100
The number of different points needed to draw a line on a graph
What is two (2)
100
Change in the y coordinates (rise) divided by the change in the x coordinates (run)
What is Slope
100
Graphing, Substitution, and Elimination
What is the different ways to solve for linear equation systems
100
a^0
What is 1 any number raised to the zero exponent equals 1
100
A method for multiplying polynomials that only works with binomials
What is FOIL
200
Two numbers written within parentheses in the form (x,y)
What is an ordered pair
200
y = mx + b
What is the slope formula
200
Way to solve a system by using a table and solve both equations for x and y being set equal to 0
What is solving systems graphically
200
a^-4
What is 1/a^-4 A negative exponent is "flipped" for the reciprocal and the negative is removed
200
(6X^2 + 2X) (3X^4 + X^2 + 9)
What is 18x^6 + 6x^5 + 6x^4 + 2x^3 + 56x^2 = 18x
300
Where a line crosses/intersects the y-axis and x-axis
What is the y-intercept and x-intercept
300
y – y1 = m(x – x1)
What is the point slope form
300
3x + 5y = 26 and y = 2x (by substitution)
What is x = 2 and y = 4 or (2,4) 3x + 5(2x) = 26 y = 2x 3x + 10x = 26 y = 2(2) 13/13x = 26/13 y = 4 x = 2
300
Writing an equation so exponents are listed from largest to smallest in order
What is writing it in descending order ex. 6x^4 + 4x^2 - 3x - 1
300
Divide 16a^5 - 12a^4 + 8a^2 by 4a^3
What is 4a^2 - 3a + 2a^-1 or 4a^2 - 3a + 2/a
400
Direction of line drawn when all value of x are the same
What is vertical
400
The SLOPE of the line through points (-2,5) and (3,4)
What is m = -1/5
400
2x + 4y = 5 and 4x + 8y = -9 (By elimination)
What is no solution for the system Multiply first equation by -2 -4x - 8y = -10 4x + 8y = -9 0 + 0 = -19 0 = -19 False statement so no solution
400
4x^2(3x + 5)
What is 12x^3 + 20x^2
400
(x^3 + 4x^2 – 2x – 5) ÷ (x + 1)
What is x^2 + 3x – 5
500
Direction of line drawn when all value of y are the same
What is horizontal
500
The slope for a line whose equation is: 3x + 4y = 8
What is -3/4 3x + 4y = 8 -3x -3x 4y = -3x + 8 4 4 4 y = -3/4x + 2
500
2x + 3y = -15 and 5x + 2y = 1 (by Elimination)
What is x = 3 and y = -7 Equation #1 multiplied by 2 and #2 is multiplied by -3 4x + 6y = -30 -15x - 6y = -3 Add equations to get -11x = -33 -- divide by -11 on each side x = 3 --- this is substituted into one of the original equations 5(3) + 2y = 1 15 + 2y = 1 move 15 to other side of = sign 2y = -14 divide each by 2 y = -7
500
(3x + 5) ( x^3 + 2x^2 + 4x + 1)
What is 3x^4 + 11x^3 + 22x^2 + 23x + 5
500
8x^3 - 10x^2 - x + 3 ÷ 2x + 1
What is 4x^2 - 7x + 3
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