Algebraic expressions can be written in verbal, symbolic, or calculated forms. Verbal expressions use words to represent variables and relations, while symbolic expressions use symbols. To calculate an expression, values are plugged in for variables and the expression is evaluated. Expressions can also be factored by finding a greatest common factor and grouping like terms.

1. Algebraic Expressions Jessica Francis

2. Write a verbal expression. Write an expression in symbolic form. Calculate the answer of an expression. Factor an expression. Algebraic Expressions

3. Expression A symbol or combination of symbols. It represents a value or relation. Verbal Expression Example- Three x plus two y equals zero. What is an Expression?

4. Symbolic Expression Example- 3x+2y=8. Calculate an Expression Plug in numbers for variables. What is an Expression?

5. Represents numbers, symbols and letters. Example- 2x+3(y+1)=4 = Two x plus three times the quantity of y plus one equals four. Verbal Expression

6. Represents words/verbal expressions. Example- Three x minus five y equals twelve. = 3x-5y=12 Symbolic Expression

7. Given values for variables. Given expression. So… Plug values into the expression. Solve. Calculating

8. Example- f(x)=5x-2y Evaluate the expression when x=4 & y=8. =5(4) - 2(8) = 20 – 16 = 4 Calculating

9. Greatest Common Factor 15 - 5x3 GCF 45 – 5x3x3 = 5x3 Grouping 2x^3+4x^2+4x-8 (2x^3+4x^2)+ (4x-8) Factor Expressions

10. Look for a GCF. Turn the equation into… GCF x ( ) Make it look like a multiplication problem. Greatest Common Factor

11. Example- 2x^2y^2+4x^2 GCF= 2x^2 2x^2(y^2 + 2) Example- 3y^2 – 3 GCF= 3 3(y^2 - 1) GCF

12. Group first 2 terms together. Group last 2 terms together. Factorindividually using GCF. Combine the terms. Grouping

13. Example- X^3-3x^2+2x-6 (X^3-3x^2) + (2x-6) X^2(x-3) + 2(x-3) (X^2+2)(x-3) Grouping

14. Write in Symbolic Form Four x minus three y equals twenty-four. 4x-3y=24 Write in a Verbal Expression. 3x+2z=45 Three x plus two z equals forty-five. Review

15. Calculate the answer. 5x-6y=? when X=5 & Y=3 5(5)-6(3)= 25-18 = 7 What is the GCF of… 15x^2+3x? 25y^3-5y^2 =3x. =5y^2 Review

16. Factor the expression. x^3+4x^2 =x^2(x+4) x^3 – 4x^2 + 4x – 16 (x^3 – 4x^2)+(4x-16) x^2(x-4)+4(x-4) (x^2+4)(x-4) Review

17. Spector, Lawrence. "The Math Page." Skill in Algebra. Lawrence Spector, 2004-2010. Web. 1 Oct 2010. <http://www.themathpage.com/alg/algebra.htm>. Stewart, James, LotharRedlin, and Saleem Watson. College Algebra. 5th. Belmont, CA: Brooks/Cole, 2009. 32-45. Print. Resources