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4.5: Do Now: Review 4.3/4.4. The area of a rectangle with length = 3x + 1 and width = 2x + 1 is 22. Write and solve an equation to find the dimension of.

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Presentation on theme: "4.5: Do Now: Review 4.3/4.4. The area of a rectangle with length = 3x + 1 and width = 2x + 1 is 22. Write and solve an equation to find the dimension of."— Presentation transcript:

1 4.5: Do Now: Review 4.3/4.4. The area of a rectangle with length = 3x + 1 and width = 2x + 1 is 22. Write and solve an equation to find the dimension of the rectangle.

2 Algebra II 4.5: Solve quadratic equations by finding the square root. HW: p.269 (4-14 even), p.1013 (29-31 all) Quiz 4.5, 4.7 (and word problems): Tuesday, Oct. 28 th

3 Simplify.

4 Product and Quotient Property Product Property Quotient Property

5 Simplify.

6 Extra Practice: Simplify.

7 Rationalizing the Denominator Can never have a radical in the denominator of a fraction.  You must rationalize the denominator.

8 Examples of Rationalizing the Denominator

9 Conjugates The conjugate of We can use conjugates to simplify expressions (by rationalizing the denominator) like: Multiply the numerator and denominator by the conjugate of the denominator.

10 Simplify:

11 4.5: Do Now: Review 4.3/4.4 Friday’s HW: p.269 (4-14 even), p.1013 (29-31) The product of two consecutive numbers is 210. Write and solve an equation to find the two numbers.

12 Algebra II 4.5: Solve quadratic equations by finding the square root. HW: p.269-270 (14-34 even) Quiz 4.5, 4.7 (and word problems): Wednesday, Oct. 29 th

13 Solving Quadratic Equations Solve: (Take square root of both sides)

14 Solving Quadratic Equations Solve: 1.)2.)

15 Solving Quadratic Equations Solve: 3.) 4.)

16 Solving Quadratic Equations Solve: 5.)

17 Solving Quadratic Equations Solve: 6.)


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