Solving Absolute Value Equations Section 1.5 Solving Absolute Value Equations
Def: The distance from the origin to a point x units from the origin is the absolute value of x. Either direction the distance is x You can’t have negative distance Notation: x
1) What two numbers have an absolute value of 6? x 2) What two numbers have an absolute value of 14?
To solve for the absolute value of a number x= ? x could be either in the positive or the negative direction , therefore the answer could be either ± Read this as: “+ or -” + or - x= ± (x) 2 answers
3.) Solve: x= 5 ± (x) = 5
Think of everything inside the absolue value symbols 4.) Solve: k + 6 = 9 Think of everything inside the absolue value symbols as representing one quantity
5.) Solve: -2 x + 3 = 6 x + 3 = - 3 Does this make sense? (any quantity) = can’t be negative No solution: { Ø }
6.) Solve x + 6 = 2x
Homework Page 41 Problems: 16-24 all, 25,28,29,31,32,33,36,38,40, and 41