Solving Linear Equations
10x -13 = 5x + 22
x=7
I=prt
Solve for p
p = I/rt
x > 4
Graph x < -3 OR x > 2
Less than or equal to
See whiteboard
|2x - 3| = 1
x = 2 and x = 1
t - 27 = -(27 -t)
0=0 Infinitely Many solutions
V = lwh
Solve for h
h = V/lw
2(4 - 2x) > 4
x < 1
Graph -4 < x AND x < 2 Greater than or equal to
See whiteboard
Graph |x| < 3
The distance between x and 0 is less than 3, so the values within 3 units right and 3 units left are solutions.
6x -5 = 2(3x + 4)
No solution
A = 1/2bh
Solve for h
h = 2a/b
-4(3x - 1) + 6x > 16
Great than or equal to
x < 2
Solve and graph
-12 < 7x + 9 AND 7x + 9 < 16
-3<x<1
3|x + 4| - 10 = 5
x = 1 and x = -9
3x -10 + 4x = -2(x -4) + 9
x= 3
m = x + n/p
Solve for x
x = mp - n
-3(2x - 5) > -6x + 9
15 > 9 Infinitely Many Solutions
Solve and graph
-4x + 3 > 11 OR 5x -7 > 13
x < -2 OR x > 4
Solve and Graph |x + 3| < 10
-13<x<7
5/8 (16d + 24) = 6(d - 1) + 1
d = -10
The perimeter of a picture frame is 144 in and the length is 40 in. What is the width of the picture frame?
P = 2l + 2w
w = p - 2l/2
w = 32 in
4x - 5 < 2(2x - 3)
-5 < -6 No Solution
Solve and graph
x + 3 < 4x < 2x + 6
3<x<6
Solve |r - 9| = -3
No Solution. Absolute Value is the distance from zero and cannot be negative.