# Absolute Value Equations

Absolute value equations are fundamental mathematical expressions that arise in various contexts, serving as powerful tools for solving equations involving distance and magnitude. These equations involve the absolute value function, denoted by |x|, which yields the distance of a real number from zero on the number line. In essence, absolute value equations encapsulate the notion of distance without direction, making them essential in numerous mathematical and scientific applications. Understanding how to solve absolute value equations is crucial for mastering algebraic problem-solving techniques and applying them to real-world scenarios.

Questions

- How do you solve for b in #y = mx + b#?
- How do you solve #|7 - 6x| <= -4#?
- How do you write #y = |6 + 2x| + 1 # as a piecewise function?
- How do you solve and check for extraneous solutions in #abs(2x + 3) = 5#?
- How do you solve #abs(2x+13)=28#?
- How do you solve #|d+5|>2#?
- How do you graph and solve #|2x – 3| – 6 = –1#?
- How do you solve the equation #abs(9x-2)=7#?
- How do you solve #| 2x - 5 | + 3 = 12#?
- How do you solve #5 - 2 | 3x - 4 | = -5#?
- How do you solve #|8-y| = |y + 2|#?
- How do you solve #7| x + 3| = 21#?
- How do you solve # abs(8-2x)=4#?
- How do you solve the equation #4-absx=3#?
- How do you solve #|10x + 2| - 18 = -12#?
- How do you solve #- 2abs(x - 3) + 10 = - 4#?
- How do you solve #abs(5 - x )= - abs(x - 5)#?
- How do you solve #|x + 5| = -4#?
- How do you solve #|5x + 11| = 6#?
- How do I solve matrix for #a in CC#?