1.4 Day 2 Solving Absolute Equations Lesson Slides: 5 Slides

5 Slides • 5 Questions

1

Solving Absolute Value

Equations

1.4 Day 2

2

Learning Target

Student will be able to…

● Solve and identify special solutions of absolute value
equations.

3

Multiple Choice

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

1

$-3,\ 7$

2

$3,\ 7$

3

$-3,\ -7$

4

$3,\ -7$

4

Multiple Choice

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

1

$-7,\ 7$

2

$-7,\ 0$

3

$-3,\ -7$

4

$3,\ -7$

5

Multiple Choice

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

1

$-7,\ 7$

2

$-12,\ 12$

3

$-3,\ -7$

4

$3,\ -7$

6

Multiple Choice

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

1

$-7,\ -1$

2

$7,\ -1$

3

$1,\ 7$

4

$-7,\ 1$

7

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.

8

Example 1: Case 1 (No Solution)

a)

|3x+1|=-5

b)

9

Example 2: Case 2 (One Solution)

a)

8|y|=0

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

10

Multiple Choice

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

1

One solution

2

Two solutions

3

No solution

Solving Absolute Value

Equations

1.4 Day 2

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