Absolute Value Equations

1. Solve each equation.   solution

(a)  \(\displaystyle{|3x| = 12}\) 

(b)  \(\displaystyle{ |-5x| = 35}\) 

(c)  \(\displaystyle{|2x| - 1 = 7}\) 

2. Solve each equation.   solution

(a)  \(\displaystyle{|2x - 3| = 4}\)  

(b)  \(\displaystyle{|4-2x| = 19}\) 

(c)  \(\displaystyle{2|3x-4| + 9 = 7}\)

3. Solve each equation.   solution

(a)  \(\displaystyle{\frac{3}{5} |x|  = 6}\)

(b)  \(\displaystyle{\left|\frac{1}{4}x + 2\right| = 3}\) 

(c)  \(\displaystyle{\left|\frac{3}{2} x - 1\right| = 8}\)