Transcription
AlgebraNameCHAPTER 10.1POLYNOMIALSPeriod DateClassifying PolynomialsPolynomials can be classified (named) by the number of terms.PolynomialNumber of termsName3x 21 termmonomial5x 82 termsbinomial3 termstrinomial4x 29 x 10Polynomials can also be classified by the degree (largest exponent of the variable).PolynomialDegree0 degree–241st degree2x 83x 2712 x 3 10Name(no power of x )constant(x to the 1st power)linear2nd degree ( x 2 )quadratic3rd degree ( x 3 )cubicDIRECTIONS: Complete the table below.Polynomial1.3 7x 9x 22.5 6x33.44.10 5x5.Standard Form9x 27x 3DegreeNumberof TermsName2nd3quadratic trinomial8x 2 6 x 3DIRECTIONS: Add the polynomials. Write the answer in standard form.6. (5x 28x 10)( 12x 3x 2 )7. (8x x 34 9x 2 )(7 x 39 x 2 10 8x)
DIRECTIONS: Subtract the polynomials (add the opposite). Write the answer in standard form.8. (9 x 2(12 x 24 x 8)6 x 3)9. ( x 2 x 38 7x 2 )(8 5x 3x 3 )10.1 Adding and Subtracting Polynomials1. 4 x 22x 8x23. 5x 2x 55. 2 x 22x 3x27. 6 x 24x 12x 29. 7 x 25x 113x 2x22. 4 x 22x 82x24. 3x 23x 4x26. 2 x 24x 8x26x 18. 6 x 22x 25x 22 x 1110. 7 x 28x 103x 2x 55x 511. State the degree of the monomial7x42x 53x 63x 12x 212. Find the product of2x x 3 52x 2x 10
Unit 6Name:Worksheet: Solving word problems using systems of equations (part 2). Identify yourvariables, set up a system of equations, and solve for your variables.1. The cost of 5 squash and 2 zucchini is 1.32. Three squash and 1 zucchini cost 0.75. Find thecost of each vegetable.2. Judy worked 8 hours and Ben worked 10 hours. Their combined pay was 80. When Judy worked9 hours and Ben worked 5 hours, their combined pay was 65. Find the hourly rate of pay for eachperson.3. Rob has 40 coins, all dimes and quarters, worth 7.60. How many dimes and how many quartersdoes he have?4. Kelly has 24 dimes and quarters worth 3.60. How many quarters does she have?5. The talent show committee sold a total of 530 tickets in advance. Student tickets cost 3 each andthe adult tickets cost 4 each. If the total receipts were 1740, how many of each type of ticket weresold?
6. The length of a rectangle is 4cm longer than the width. The perimeter is 80 cm. Find the length andthe width.7. A collection of nickels and quarters is worth 2.85. There are 3 more nickels than quarters. Howmany nickels and quarters are there?8. Ann and Betty together have 60. Ann has 9 more than twice Betty’s amount. How much moneydoes each have?9. A bowl contained 13 red and brown M&M’s. There was one more red M&M’s than brown M&M’s.How many of each color are in the bowl?10. A movie theater charges 5 for an adult’s ticket and 2 for a child’s ticket. One Saturday, thetheater sold 785 tickets for 3280. How many of each type of ticket were sold?!
Classifying Polynomials Polynomials can be classified (named) by the number of terms. Polynomial Number of terms Name 3x2 1 term monomial 5x 8 2 terms binomial 4x2 9x 10 3 terms trinomial Polynomials can also be classified by the degree (largest exponent of the variable). Polynomial Degree Name –24 0 degree (no power of x) constant
