1.4 Day 2 Solving Absolute Equations

Solving Absolute Value

Equations

1.4 Day 2

Learning Target

Student will be able to…

● Solve and identify special solutions of absolute value
equations.

Multiple Choice

Solve: $$\left|b-2\right|=5$$

• $$-3,\ 7$$

• $$3,\ 7$$

• $$-3,\ -7$$

• $$3,\ -7$$

Multiple Choice

Solve: $$\left|-5p\right|=35$$

• $$-7,\ 7$$

• $$-7,\ 0$$

• $$-3,\ -7$$

• $$3,\ -7$$

Multiple Choice

Solve: $$\left|\frac{a}{3}\right|=4$$

• $$-7,\ 7$$

• $$-12,\ 12$$

• $$-3,\ -7$$

• $$3,\ -7$$

Multiple Choice

Solve: $$\left|x+4\right|+7=10$$

• $$-7,\ -1$$

• $$7,\ -1$$

• $$1,\ 7$$

• $$-7,\ 1$$

​Solving Complicated Absolute Equations

​To solve absolute value equations:

1. Get the ________________________________ alone.

2. Set up a positive and negative equation (this is the important part).

3. Solve.

Example 1: Case 1 (No Solution)

a)

|3x+1|=-5

b)

Example 2: Case 2 (One Solution)

a)

8|y|=0

b) 27-(15+|p|)=12

Multiple Choice

Solve and determine whether the equation has one solution, no solution or two solutions: $$|-5b+1|-5=-12$$

• One solution

• Two solutions

• No solution