Download presentation

Presentation is loading. Please wait.

Published byBruno Gilbert Modified over 9 years ago

1
Solve an absolute value equation EXAMPLE 2 SOLUTION Rewrite the absolute value equation as two equations. Then solve each equation separately. x – 3 = 8 Write original equation. x – 3 = 8 or x – 3 = –8 Rewrite as two equations. x = 11 or x = –5 Add 3 to each side. ANSWER The solutions are 11 and –5. Check your solutions. x – 3 = 8. Solve

2
Solve an absolute value equation EXAMPLE 2 |x – 3| = 8 CHECK Substitute for x. Subtract. Simplify. The solution checks. |11 – 3| = 8 |–5 – 3| = 8 ?? | 8| = 8 |–8| = 8 ? ? Write original inequality. 8 = 8 8 = 8

3
Rewrite an absolute value equation EXAMPLE 3 SOLUTION First, rewrite the equation in the form ax + b = c. 3 2x – 7 – 5 = 4 3 2x – 7 = 9 2x – 7 = 3 Write original equation. Add 5 to each side. Divide each side by 3. 3 2x – 7 – 5 = 4. Solve

4
Rewrite an absolute value equation EXAMPLE 3 Next, solve the absolute value equation. 2x – 7 = 3 2x – 7 = 3 or 2x – 7 = –3 2x = 10 or 2x = 4 x = 5 or x = 2 Write absolute value equation. Rewrite as two equations. Add 7 to each side. Divide each side by 2. ANSWER The solutions are 5 and 2.

5
Solve the equation. GUIDED PRACTICE for Examples 2 and 3 r – 7 = 9 2. 16, –2 ANSWER

6
Solve the equation. GUIDED PRACTICE for Examples 2 and 3 2 s + 4.1 = 18.9 3. 7.4, –7.4 ANSWER

7
4 t + 9 – 5 = 19 4. GUIDED PRACTICE for Examples 2 and 3 Solve the equation. –3, –15 ANSWER

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google