1. Review for Algebra Test over Polynomials… Use laws of exponents, Distributive Property, CLT, addition, subtraction, multiplication, and division of polynomials. Also, find and use GCF.

2. The 2nd power mean… WRITE THE PARENTHESIS TWICE! ( 3p + 4 ) 9p 2 + 12p + 16 CLT + 24p 9p 2 + 16

3. “subtracted from” means… (2q + 6 ) goes first! (2q + 6 ) – ( 7q – 3 ) 2q + 6 – 7q + 3 Distribute the minus sign. C.L.T. – 5q + 9

4. To find the degree… ADD all the powers in the term. 3 + 5 + 1 = 9 Ninth degree

5. We are given the perimeter: 12x + 1 To find the missing side, first, look at the x-terms. 4x + 5x + ( ? ) = 12x 3x Now look at the numbers: +5 + (– 8) + ( ? ) = 1 positive 4 3x + 4

6. Area of a triangle: Do the Power to a Power FIRST! (multiply the powers…) Multiply & Divide numbers: 25 4 ÷ 2 = 50 w7w7 When you multiply w 6 times w… add the powers!

7. Perimeter means… ADD ALL SIDES! Label them. 3m + 4 2m – 5 C.L.T. Add all the m-terms… 2m + 3m + 2m + 3m = 10m Combine the numbers: +4 + 4 – 5 – 5 = – 2

8. Binomial (2 terms) times a Trinomial (3 terms) means… 6 multiplications b b 2 = b3b3 b 2b = 2b 2 b (–5) = –5b b3b3 + 2b 2 – 5b 3 b 2 = 3b 2 3 2b = 6b 3 (–5) = –15 + 3b 2 + 6b – 15 CLT Highest power first! b3b3 + 5b 2 + 1b – 15

9. Add the powers! = x 12 Multiply the powers! = x 12 Subtract the powers! = x 12 The zero power means… 1 The negative power means… the reciprocal. (the x 12 moves to the numerator) = x 12

10. Area of square: A = length width c + 6 ( c + 6 ) c2c2 + 6c + 36 CLT + 12c c2c2 + 36

11. 2x 2 – 2xy + 3xy – 3y 2 CLT + xy 2x 2 – 3y 2

12. 4n 2 – 6n + 6n – 9 CLT 4n 2 – 9

13. Volume of a rectangular prism: V = Bh (B is the area of the base) The “base” is a rectangle… length width V = lwh (2xy 4 )(3x 2 y)( x + y ) Multiply the first 2 monomials… Multiply #’s and ADD the Powers! 6x 3 y 5 ( x + y ) Distributive Property 6x 4 y 5 + 6x 3 y 6

14. Sum means ADD. CLT 1y 2 + 1y 2 2y 2

15. Product means MULTIPLY! n2n2 + 5n + 4n + 20 CLT + 9n n2n2 + 20

16. Perimeter means ADD ALL SIDES! Label them. p 2 – 2p + 3 6p + 1 Do not use the 5p. That’s the height. CLT Start with the highest power. p 2 + p 2 2p 2 (-2p) + (-2p) + 6p + 6p + 8p +3 + 3 + 1 + 1 + 8

17. The GCF consists of: The biggest number that will divide into 8 and 12… 4 and the common/shared variables… c and d Take the lowest power. c 2 and c d 2 3 d3d3

18. a. NOT Like Terms… Cannot be simplified! b. Multiply #’s and… Add the powers. = 24x 7 c. Power to a power… Multiply the powers. (x 0 ) 7 = x 0 Anything to the 0 power equals 1. 24 1 = = 24 d. NOT Like Terms… Cannot be simplified!

19. GCF consists of: The biggest number that will go into 20 and 30… 10 AND, the common variable(s) with the LOWEST POWER… y6y6 10y 6 ( ) Divide both terms by 10y 6 and put the results in the parentheses. 10y 6 2 + 3 y (8 – 6) y2y2

20. Quadratic  2nd power Trinomial  3 terms TRUE Cubic  3rd power Binomial  2 terms FALSE 5th degree  5th power Monomial  1 term TRUE linear  1st power Binomial  2 terms TRUE

21. Distributive Property Multiply the #’s and add the powers! 15x 4 + 6x 2

22. Multiply #’s and Add the powers: 6 m – 2m – 2 n 0 equals 1… GOES AWAY! m –2 means… the reciprocal. (It goes in the bottom)

23. Distributive Property Distribute the minus sign. – 7d 2 – d + 5 d 2 – 4d + 3 CLT – 6d 2 – 5d + 8

24. a 2 – 5a + 5a – 25 TRUE ADD… CLT a + a + 5 2a + 5 FALSE ( a + 5 ) a 2 + 5a + 5a + 25 a 2 + 10a + 25 FALSE

25. 12x 2 + 18x – 10x – 15 CLT + 8x 12x 2 – 15

26. Area of a rectangle: A = bh We know A and b. To solve for h… divide! 3 x2x2 + x 36 ÷ 12 x (3 – 1) 12 ÷ 12 x (2 – 1)

27. 20 ÷ 4 g (10 – 3) 5g 7 – 4 ÷ 4 g (7 – 3) – 1g 4 28 ÷ 4 g (3– 3) = g 0 = 1 + 7 5g 7 – g 4 + 7

28. The power outside the parentheses applies to everything in parentheses. 4 3 = ? 64 Power-to-a-Power: Multiply powers! a 63 = ? a 18 b 53 = ? b 15

29. 6k 3 + 4k – 10 – 5k 2 – 6k + 9 CLT 6k 3 – 5k 2 – 2k – 1

30. STUDY!