PRE CALCULUS 1Unit Created by ALL THINGS ALGEBRA Thank you SO MUCH for purchasing this product I hope you found this resource useful in your classroom Please consider leaving feedback in my TpT store or email me at allthingsalgebra gmail com with any questions or comments You can also find me here TERMS OF USE 2012 2020 Gina Wilson All Things Algebra LICENSING TERMS By purchasing this product the purchaser receives a limited individual license to reproduce the product for use within their classroom This license is not intended for use by organizations or multiple users including but not limited to school districts schools or multiple teachers within a grade level This license is non transferable meaning it can not be transferred from one teacher to another If other teachers in your department would like to use this product additional licenses can be purchased from my TpT store If your school or district is interested in purchasing transferable licenses to accommodate staff changes they may contact me at allthingsalgebra gmail com for a quote COPYRIGHT TERMS No part of this resource may be uploaded to the internet in any form including classroom personal websites or network drives unless the site is password protected and can only be accessed by students Thank you for respecting my work Unit 1 Fundamental Skills Sample Unit Outline TOPIC HOMEWORK DAY 1 Exponents and Polynomial Operations DAY 2 Factoring Polynomials DAY 3 Rational Expressions DAY 4 Quiz 1 1 DAY 5 Radicals and Rational Exponents DAY 6 Complex Numbers DAY 7 Quiz 1 2 DAY 8 Linear Equations Absolute Value Equations r C L L a b e g A s g n h T l l i l A n o s l i W a n G i DAY 9 Quadratic Equations DAY 10 Radical Equations DAY 11 Rational Equations DAY 12 Quiz 1 3 DAY 13 Inequalities DAY 14 Unit 1 Review DAY 15 UNIT 1 TEST HW 1 HW 2 HW 3 None HW 4 HW 5 None HW 6 HW 7 HW 8 HW 9 None HW 10 Study For Test None Gina Wilson All Things Algebra LLC 2017 2020 Name Topic Main Ideas Questions Notes Examples Date Class A monomial is a constant variable or product of numbers and variables Examples Use the EXPONENT RULES to simplify monomial expressions NAME RULE EXAMPLE Product Rule Power Rule Quotient Rule Negative Exponent Rule Zero Exponent Rule 1 6 4 2 1 4 3 3 p 2 8 p 6 2 2 50 3 1 57x 4 y 2 3xy 3 4 11x 3 y When ADDING OR SUBTRACTING monomials COMBINE LIKE TERMS 5 2 5 s r 4 3 r s 2 3 4 18a8b4 42a5b7 6 7 39 7 4 c d 24 2 5 c d 2 8 2 3 m n 1 4 m n 1 2 3 1 8 2 Gina Wilson All Things Algebra LLC 2017 A polynomial is the sum or difference of many monomials The highest exponent of a polynomial is called the degree Standard form Classify by DEGREE Classify by NUMBER OF TERMS Polynomials 0 1 2 3 4 5 Polynomials Polynomials 1 2 3 4 Simplify Write your answer in standard form and classify 9 b 2 5 b 11 8 b 2 b 7 2 10 3w2 2w 6 9 3w2 7w 11 3 y 2 3 y 2 y 3 y 3 4 y 2 12 5k 3 k 2 7 4k k 2 2 Simplify Write your answer in standard form and classify 13 x 3 2x2 6x 7 14 4t 1 5t 3 2t 10t 9 15 4 j 7 k 2 16 2v 3 2v 3 3v 1 17 p 2 p 6 p 2 2 p 1 18 3 x 2 1 x 2 4 19 A triangle has a base of 3x 7 and a height of 5x 1 A second triangle is drawn with a base that is tripled and a height that is doubled Find the difference between the area of the original triangle and the area of the new triangle Gina Wilson All Things Algebra LLC 2017 Name Unit 1 Fundamental Skills Date Per Homework 1 Exponents Polynomials This is a 2 page document Directions Evaluate each expression 29 1 29 2 4 3 3 7 3 7 3 4 3 16 2 5 7 7 6 4 8 3 4 2 8 3 3 4 3 6 2 6 25 4 9 5 0 5 5 2 Directions Simplify each expression Final answers must contain positive exponents 10 2c d 4 5 3 12 7 x x 5 6 9 4 11 9 4 a b 2 7 16 a b 3 r C L L a b e g A s g n h T l l l i A n o s l i W a n G i 13 24 p 3q8r 0 3 p 5q 4r 4 14 3 4 10 m m 5 15 3 4 u 2 uv 4 5 16 2 6 15 rs 3 r s 7 3 17 4 a 3 b 3 2 3 b 6 a 4 18 16 r s 7 4 rs 5 1 4 rs 6 2 Gina Wilson All Things Algebra LLC 2017 2020 19 c d 3 c d 7 5 1 4 2 20 9 m n 6 4 2 m n 10 3 6 7 m n 2 5 21 9 8 x 3 x y 3 2 5 x y 6 2 Directions Simplify each expression Classify each answer by degree and number of terms x 22 11 14 16 3 5 7 a a x 23 1 7 25 27 k 5 2 k 11 18 2 3 k 8 k 2 3 7 y 16 2 y 14 8 y 3 5 y 11 24 m 3 6 5 m 4 26 8 3 m m 3 2 m 5 m m m 7 2 1 r C L L a b e g A s g n h T l l l i A n o s l i W a n G i 28 3 x 8 2 x 1 29 p 28 4 p 2 30 x 4 y 5 x 3 y 31 7 c d c 7 d 32 v 3 2 4 33 y 9 5 2 34 2 w 1 3 35 n 2 4 3 n 2 n 7 1 Gina Wilson All Things Algebra LLC 2017 2020 Name Topic Main Ideas Questions Notes Examples Date Class 2 51a8b4 17a3b5 24 y4 54 y3 1 Factor Greatest Common Perfect Squares Rule for Factoring 3 2 36 w 25 r C L L a b e g A s g n h T l l l i A n o s l i W a n G i 4 1 144 6 4 r s 5 16x 4 1 6 9a4b2 100c2 Perfect Cubes Rule for Factoring 7 h3 125 8 f 3 27 8 9 27a3 512 10 729m6 64n3 Rule for Factoring 11 x3 343 12 125 8v 3 13 1000m3 …
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