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4.5: Do Now: Review 4.3/4.4.

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. Algebra II. 4.5: Solve quadratic equations by finding the square root. HW: p.269 (4-14 even), p.1013 (29-31 all)

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4.5: Do Now: Review 4.3/4.4.

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  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. 28th

  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 4.3/4.4Friday’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. 29th

  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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