Download presentation

Published byMelanie Bates Modified over 9 years ago

1
EXAMPLE 2 Rationalize denominators of fractions. 5 2 3 7 + 2 Simplify (a) and (b) SOLUTION (a) 5 2 = 5 2 = 5 2 2 10 =

2
EXAMPLE 2 Rationalize denominators of fractions. SOLUTION = 3 7 + 2 7 – (b) 3 7 + 2 = 21 – 3 2 49 – – 2 = 21 – 3 2 47

3
**Solve a quadratic equation**

EXAMPLE 3 Solve a quadratic equation Solve 3x2 + 5 = 41. 3x2 + 5 = 41 Write original equation. 3x2 = 36 Subtract 5 from each side. x2 = 12 Divide each side by 3. x = + 12 Take square roots of each side. x = + 4 3 Product property x = + 2 3 Simplify.

4
**Solve a quadratic equation**

EXAMPLE 3 Solve a quadratic equation ANSWER The solutions are and 2 3 2 3 – Check the solutions by substituting them into the original equation. 3x2 + 5 = 41 3x2 + 5 = 41 3( )2 + 5 = 41 2 3 ? 3( )2 + 5 = 41 – 2 3 ? 3(12) + 5 = 41 ? 3(12) + 5 = 41 ? 41 = 41 41 = 41

5
**Standardized Test Practice**

EXAMPLE 4 Standardized Test Practice SOLUTION 15 (z + 3)2 = 7 Write original equation. (z + 3)2 = 35 Multiply each side by 5. z + 3 = + 35 Take square roots of each side. z = –3 + 35 Subtract 3 from each side. The solutions are – and –3 – 35

6
EXAMPLE 4 Standardized Test Practice ANSWER The correct answer is C.

7
GUIDED PRACTICE GUIDED PRACTICE for Examples 2, 3, and 4 Simplify the expression. 6 5 19 21 5 30 399 21 ANSWER ANSWER 9 8 – 6 7 – 5 2 4 3 – 21 – 3 5 22 ANSWER ANSWER 17 12 2 4 + 11 51 6 ANSWER 8 – 2 11 5 ANSWER

8
GUIDED PRACTICE for Examples 2, 3, and 4 – 1 9 + 7 – 9 + 7 74 ANSWER 4 8 – 3 32 + 4 3 61 ANSWER

9
GUIDED PRACTICE for Examples 2, 3, and 4 Solve the equation. 5x2 = 80 ANSWER + 4 z2 – 7 = 29 + 6 ANSWER 3(x – 2)2 = 40 120 3 2 + 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