Vocabulary
Define Intersection
The point where two lines cross
What are the 3 solutions of systems of linear equation?
Graphing, substitution, and elimination
what do the variables in y= mx + b represent?
y= answer when x is 0 m= slope x= answer when y is 0 b= intercept
What does a closed circle indicate?
greater than or equal to OR less than or equal to
19+8=?
27
Define Opposites
Positive and negative Ex: 4, -4
What is the formula for system of linear equations?
y=mx+b
y=2x + 3
0,3 1,5
What is the multiplication property of inequalities?
The inequality will remain true if we multiply the same number to both sides
123-33=?
90
Define Substitution Property of Equality
If y=x then x can replace y at anytime
x−7y=−11, 5x+2y=−18
x=-4, y=1
y=4/2x + 2
0,2 2,6
What are the 3 steps to solving and graphing inequalities?
1. analyze the situation
2. Inverse operations to isolate the variable
3. state and graph the solution
12*8=?
96
Define Coefficient
The number multiplied by a variable
6x−5y=8, −12x+2y=0
x=-1/3, y=-2
y=3.7x + 2.4
0,3.7 1,6.1
5x+15<=-10
x<=-5
88/11+7=?
15
Define solution of a system of linear equations
Pair of coordinates that satisfy all equations in the system
−2x+10y=2, 5x−25y=3
No solution
5y=30x + 45
0,9 1,15
-4(3x-1)+6x>=16
x<=-2
55-10/9*2=?
10