Solve by Graphing
Matrices
Vocabulary
Systems of Equations
Wildcard
100
What is the solution?
(-1,1)
100
2x+y=-2
5x+3y=-8
(2, -6)
100
What is the equation for slope-intercept form?
y=mx+b
100
If you want to use a matrix to solve a system of equations, what form do your equations need to be in?
Standard form
Ax+By=C
100
Solve the riddle.
I have hands, but I cannot shake your hands. I have a face, but I cannot smile at you. What am I?
A clock.
200
How many solutions are there?
No Solutions
200
2x-3y=-24
x+6y=18
(-6, 4)
200
Which number(s) below are coefficients?
4 - 2 + 5x - 1 = 3x + 6 - 7y + 8 - 9
5, 3, -7
200
When we look at a graph of a system of equation, what would tell us there is no solution?
They are parallel lines.
200
Solve the riddle.
What can make an octopus laugh?
Ten-tickles
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
8x-y+-6
2x-3y=4
(-1, -2)
300
What does it mean when lines are parallel?
They have the same slope/they never cross.
300
What is the solution to this system?
y=3x-4
2x-6y=8
(1, -1)
300
What is the solution to this inequality?
6x + 1 < 9 – 2x
x<1
400
How many solutions are there?
Infinitely Many Solutions
400
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
What does is it mean to be a solution to a system of equations?
The point where two lines intersect
or
The point that makes both equations true
400
What is the solution to this system?
10x-12y=48
5x-6y=24
∞ (Infinity)
400
The length of a rectangle is three centimeters less than twice its width. If the perimeter of the rectangle is 18 centimeters, find its dimensions.
l=5
w=4
500
Solve the systems of linear equations by graphing:
500
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
What is the distributive property?
You may explain by showing an equation where you would use it.
A number on the outside of parenthesis is distributed to each term on the inside of parenthesis.
The product of a sum is equal to the sum of each product.
500
What is the solution to this system of equations?
-x + 3y = -1
y = (1/3)x - 1
∅ (No solution)
500
Multiply this polynomial.
(x-2)(x+3)
Hint: Remember the box method.
x2 + x - 6