Solving One Variable Equations
Writing Linear Equations
Graphing and Interpreting Linear Equations
Systems of Equations
Systems of Three Equations
100
96 = 6(-3x +4)
-4
100
y = -1/2 x -2
100
What is the Domain of the following line?
(- inf, inf)
100
Solve by Graphing
y = -2x + 4
y = 5x - 3
x = 1
y = 2
100
Is (- 6, -1 , -4) a solution to the following?
-4x + 6y + 5z = -2
4x + 4y - z = -24
2x -2y + 5z = -30
Yes
200
-3 (1+ 8m) -5 = -176
7
200
Write the equation of a line with a slope of 2 and passes through the point (-2,-2)
y = 2x + 2
200
What is the domain of x= 5?
5
200
Solve using Elimination
-6x - 3y = 3
6x - 4y = -10
x = -1
y = 1
200
x - 2y + z = -1
x + 2y - z = 7
x + y + z = 2
x = 3
y = 1
z = -2
300
9(1+ 8x) -11 = -12 -2 (x-5)
0
300
Write the equation of a line that is parallel to y = 3x -8 and goes through (-1,5)
y = 3x + 8
300
f(x)> 0:
f(x)< 0:
f(x) > 0: (-inf, -4)
f(x) < 0: (-4, inf)
300
Solve by Substitution
-2x - 4y = 8
-7x + y = 13
x = -2
y = -1
300
2b + c + z = 11
3b + 4c + z = 19
3b + 6c + 5z = 43
b = 2
c = 2
z= 5
400
7p - (1+5p)-1 = 2(p-1)
All Solutions
400
Write the equation of a line that goes through the following points (0,-5) and (-1, 5)
y = -10x - 5
400
Graph and Interpret the following line:
y = -1/3 x + 3
See Board
400
Solve by Elimination
8x + 12y = 24
-2x - 6y = 0
x = 6
y = -2
400
6a + 6c + 2v = 52
6a + 3c + v = 41
5a + 2c + 4v = 39
a = 5
c = 3
v = 2
500
5(12+ 10n) = -10 (1-5n)
No Solution
500
Write the equation of a line that is perpendicular to y = 2/5 x + 5 and goes through the point (2, -1)
y = - 5/2 x + 4
500
Graph and Interpret the following:
y = -1/4 x + 3
See Board
500
Solve by Substitution
6x + 5y = 5
-4x - 2y = -10
x = 5
y= -5
500
2a + 4c + 3x = 37
3a + 3c + 3x = 33
3a + 3c + 6x = 48
a = 1
c = 5
x = 5