Elimination
Matrices
Polynomials
System of Equations
Substitution
100
Solve by using elimination -3x+3y=3 3x+y=9
(2,3)
100
Define what a matrix is?
A Matrix is a rectangular arrangement of number in rows and colums
100
Tell whether the Function is a Polynomial and why or why not? 7-2x
Yes because it is a sum of a monomial
100
How many variables are there in system of equations and what are they?
Three and X,Y,Z
100
What is the definition of the word Substitution?
A method of solving a system of equations by solving one of the equations and then substituting.
200
Solve! -5x+12y=20 x-2y=-6
(-16,-5)
200
Solve! [5 , 2] [-2, 4] [-1, 4] + [6,-2] [-3, 6] [ 7,-5]
[-3, 6] [ 5, 2] [ 4, 1]
200
Factor the Polynomial by grouping c3+4c2-9c-36
(C+3)(C-3)(C+4)
200
Is this Equation an Solution? x+2y-2z=1 7x-4y+z=11 2x-3y+2z=5
No
200
Solve Using Substitution x+2y=6 3x-2y=2
(2,2)
300
Tell the error in the problem and solve correctly. Equation:3x+2y=1 4x+6y=7 Mistake: 3x+2y=1 4(4x+6y=7)
When you multiply the equation 4x+6y=7 by 4 you need to first make the 4 an -4 then proceed on Answer: No Solution
300
When subtracting matrices you will need to What? and Solve This Equation [2,1] - [-2,1] [6,4] [-4,0]
When Subtracting matrices you will need to change the sign to addition and change all the signs in the right matrix to the opposite sign. And [4, 0] [10,4]
300
Describe the term "End Behavior" and the symbol that comes with it.
The end behavior is the behavior of the graph as X approaches positive and negative infinity Symbol: ∞
300
Are there other ways you can solve systems of equation? Named Two if Possible.
Yes, Substitution and Elimination
300
Solve for Y and Tell How you do So (Hint: X is already solved what do you do to find Y?) 6x+3y=12 3x+y=5 x=1
You will need to plug 1 back into the equation you solved for x. Y=2 Giving you (1,2)
400
Solve the fraction by Elimination 1/2x+3y=9 1/3x+y=4
(6,2)
400
Solve by Multiplying! [3,2,9] [0,1,-4] [5,-1,2]
-91
400
Find the real numbers of the equation 125q4-27=125q3-27q
(-3/5,1)
400
Solve! w+x-2y+z=1 2w-x+3y-2z=2 w+3x-y+4z=7 3w+x-y+2z=5
(1,1,1,1)
400
Solve! 5/4x+y=9/2 x+3/2y=-12
(17/7, 9/7)
500
Solve the decimal equation by Elimination 0.3x-0.2y=1.4 0.12x-0.8y=0.56
(14/3,0)
500
Using a Graph Calculator Solve the inverse of the matrix. [1,3,5] [0,3,5] [0,0,5]
[1,-1, 0] [0,1/3,-1/3] [0,0, 1/5]
500
Describe the end behavior f(x)=-12x6-2x+5
f(x)--->+∞ as x--->-∞ and f(x)--->+∞ as x--->+∞
500
Solve! -w+3x-y-4z=6 2w+4x+2y-z=6 w-x+y+3z=-4 3w-x+3y+z=4
(2-4,0,y,-2)
500
Solve 0.25x+0.5y=7.5 0.4x+0.5y=9
(10,10)
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