4 = -8 + x
x= 12
Solving Equations
4x + 3 = 7
x = 1
5n - 2 = 8n - 14
n = 4
|8m-8| = 40
m = {-4, 6}
Solve: I=Prt for t
I/pr = t
x + 12 = 0
x= -12
Solving Equations
4(6 + 5x) = 124
x = 5
-4(-8p + 1) = 40p - 4 - 8p
Infinitely Many Solutions
List the general steps you follow for solving absolute value equations.
1. Isolate the absolute value expression using inverse operations
2. Set up two equations with the inside of the absolute value, one equal to the positive and one equal to the negative
3. Solve for the variable
4. Check your solutions
Solve Ax + By = C for y
y= C-Ax/B
3 = -2 – x
x= -5
Solving Equations
-108 = -8(x + 6) - 4
x = 7
6(6n - 2) = 8n - 40
n = -1
3|4x+2|=6x
Did you check both answers?
V = lwh Solve for l
l=V/wh
5x = -80
x= 16
Solving Equations
172 = 5(4a + 6) + 2
a=7
5x + 5 + 4x = 4 - 3x + 6 + 12x
No solution
-5|4p+4| = -40
p = {-3, 1}
Solve m + 2n= 7m for n
n = 3m
16 = x/2
x= 32
Solving Equations
-93 = 7(-3k - 8) + 5
k = 2
-5(8n - 4) - n = - 16 - 5n
n = 1
2|g-5|+7 = 13
g = {2, 8}
Nothing to see here. Move along.
I said move along!