22
Lesson 6.5 Solve Absolute Value Equations Essential Question: How do you solve absolute value equations?

Lesson 6.5 Solve Absolute Value Equations

Embed Size (px)

DESCRIPTION

Lesson 6.5 Solve Absolute Value Equations. Essential Question: How do you solve absolute value equations?. Before we start…. Why do and have the same solution?. What is absolute value ?. The distance a number is from zero on the number line. - PowerPoint PPT Presentation

Citation preview

Page 1: Lesson 6.5 Solve Absolute Value Equations

Lesson 6.5

Solve Absolute Value

Equations

Essential Question: How do you solve absolute value equations?

Page 2: Lesson 6.5 Solve Absolute Value Equations

Before we start…

Why do and have the same solution?

Page 3: Lesson 6.5 Solve Absolute Value Equations

What is absolute value?

The distance a number is from zero on the number line.

0 0

x x

x x

Page 4: Lesson 6.5 Solve Absolute Value Equations

Solve 7x

Page 5: Lesson 6.5 Solve Absolute Value Equations

Solve 3x

Page 6: Lesson 6.5 Solve Absolute Value Equations

Solve 15x

Page 7: Lesson 6.5 Solve Absolute Value Equations

How do you solve absolute value equations?

Given

Write two equations

and

Solve each equation.

Check each solution.

Page 8: Lesson 6.5 Solve Absolute Value Equations

Solve 4 3x

Page 9: Lesson 6.5 Solve Absolute Value Equations

Solve 5 7x

Page 10: Lesson 6.5 Solve Absolute Value Equations

Solve 3 10x

Page 11: Lesson 6.5 Solve Absolute Value Equations

Solve 5 10 45x

Page 12: Lesson 6.5 Solve Absolute Value Equations

Solve 3 2 7 5 4x

Page 13: Lesson 6.5 Solve Absolute Value Equations

Solve 3 4 2 7 11x

Page 14: Lesson 6.5 Solve Absolute Value Equations

Can there be no solution?

• Yes there can be.

• The absolute value of a number is never negative so if the equation equals a negative number, there is no solution.

Page 15: Lesson 6.5 Solve Absolute Value Equations

Solve 3 5 6 2x

Page 16: Lesson 6.5 Solve Absolute Value Equations

What is absolute deviation?

• It is the absolute value of the difference of x and the given value.

• The absolute deviation can also be known as the absolute error if it’s a measured value from an accepted value.

Absolute Deviation given valuex

Page 17: Lesson 6.5 Solve Absolute Value Equations

Basketballs Before the start of a professional basketball game, a basketball must be inflated to an air pressure of 8 pounds per square inch (psi) with an absolute error of 0.5 psi. Find the minimum and maximum acceptable air pressures for the basketball.

Page 18: Lesson 6.5 Solve Absolute Value Equations

Guardrails A safety regulation requires that the height of a guardrail be 42 inches with an absolute deviation of 3 inches. Find the minimum and maximum heights of a guardrail.

Page 19: Lesson 6.5 Solve Absolute Value Equations

Cheerleading A cheerleading team is preparing a dance program for a competition. The program must last 4 minutes with an absolute deviation of 5 seconds. Find the least and greatest possible times (in seconds) that the program can last.

Page 20: Lesson 6.5 Solve Absolute Value Equations

Jewelry A jewelry store advertisement states that a certain diamond bracelet weighs 12 carats, but the actual weight can vary by as much as 5% of the advertised weight. Find the minimum and maximum possible weights of the bracelet.

Page 21: Lesson 6.5 Solve Absolute Value Equations

• How do you solve absolute value equations?

Page 22: Lesson 6.5 Solve Absolute Value Equations

Ticket Out the Door

Solve:

2 7 11d