Review 4.6-4.7

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# Review 4.6-4.7 - PowerPoint PPT Presentation

Review 4.6-4.7. Solve each equation or inequality. 1. 2. Multiply every term by 12. b = 2, -5. Solve each equation or inequality. 3. 4. USE QUADRATIC FORMULA. w = 2/5, -1. What values go on your number lines??. 2/5, -1, 0, and 1. Example : Solve. LCM : 2x

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### Review 4.6-4.7

Solve each equation or inequality

1.

2.

Multiply every term by 12

b = 2, -5

Solve each equation or inequality

3.

4.

w = 2/5, -1

What values go on your number lines??

2/5, -1, 0, and 1

Example: Solve.

LCM: 2x

Multiply each fraction through by the LCM

Solve.

LCM: ?

LCM: (x+1)

?

No Solution!

Solve.

Factor 1st!

LCM: (x+2)(x-2)

Example: Solve.

Last Example: Solve.

The LCD for the three denominators is

Original equation

Multiply each sideby 24(3 – x).

6

1

1

1

1

1

Simplify.

Simplify.

Check

Original equation

Simplify.

Simplify.

The solution is correct.

The LCD is

Original equation

p – 1

1

Multiply by the LCD, (p2 – 1).

1

1

DistributiveProperty

Simplify.

Simplify.

Add(2p2 – 2p + 1)toeach side.

Divide eachside by 3.

Factor.

Zero ProductProperty

or

Solve eachequation.

Example 6-2c

Check

Original equation

Simplify.

Simplify.

Example 6-2d

Original equation

Simplify.

Example 6-2e

Since p = –1 results in a zero in the denominator, eliminate –1.

Answer: The solution is p = 2.

Solve

Solve

Related equation

Step 1 Values that make the denominator equal to 0 are excluded from the denominator.For this inequality the excluded value is 0.

Step 2 Solve the related equation.

Multiply each side by 9s.

Simplify.

Divide each side by 6.

Step 3 Draw vertical lines at the excluded value and at the solution to separate the number line into regions.

Now test a sample value in each region to determine if the values in the region satisfy the inequality.

Test

is a solution.

Test

is not a solution.

Example 6-5e

Test

is a solution.

Example 6-5f

Solve each equation or inequality

6.

7.

x = 7

No real solution

12.

13.

x = -0.9, 2.8

x = 1.2

Approximate the real zeros of each functions

14.

15.

x = -4.4, -0.9, 1.3

No real zeros

Find the remainder of each division.

Then state whether the binomial is a factor?

18.

19.

Remainder = 55

Not a factor

Remainder = 18

Not a factor

27.) Find the discriminant of the function given and describe the nature of the roots.

Discriminant = 73

2 distinct real roots

28.)1, -1, 0.5