Chapter 4 – Inequalities and Absolute Value 4.4 – Solving Absolute Value Equations

Today we will review: – Solving and writing absolute value equations in one variable

4.4 – Solving Absolute Value Equations Absolute value – the distance between the number and zero on a number line – | x | – Since distances are always positive or zero, absolute values CANNOT be negative

4.4 – Solving Absolute Value Equations If x is a positive number, then |x| = x If x is zero, then |x| = 0 If x is a negative number, then |x| = -x – This means the OPPOSITE of x

4.4 – Solving Absolute Value Equations Absolute Value Equation – is in the form |x| = c where c > 0 can have two values for x – One positive value c and one negative value –c – Ex. If |x| = 7, then 7 and -7 are solutions

4.4 – Solving Absolute Value Equations Solving an Absolute Value Equation – The absolute value equation |ax + b| = c where c > 0 is equivalent to ax + b = c OR ax + b = -c |x + 5| = 9

4.4 – Solving Absolute Value Equations Example 1 – Solve | 3 – 4x | = 11

4.4 – Solving Absolute Value Equations Example 2 – Solve | 2x – 8 | + 7 = 13

4.4 – Solving Absolute Value Equations Example 3 – Write an absolute value equation that has 5 and - 3 as its solutions.

4.4 – Solving Absolute Value Equations Example 4 – The oldest ever World Series player, Jack Quinn, was 47 when he played in The youngest ever player, Freddie Lindstrom, was 18 when he played in Write an absolute value equation that has the greatest and least ages as its solutions.

4.4 – Solving Absolute Value Equations CLASSWORK/HOMEWORK 4.4 Practice A Worksheet Odd Numbers