2. Moving Terms to Solve Equations. By Mrs. Blakely And Blakely’s Best Algebra 1a class
3.
4.
5. These ideas are given in mathematical expressions or equations using terms.6a2 - 5ab + 3b - 12
6. EnglishMath English uses WORDS to form SENTENCES. Thedogrunsfast. Math uses TERMS to form EXPRESSIONS. 6a2 - 5ab + 3b - 12 6a2 ___ runs The dog fast. 3b 5ab 12 - + - WORDS are separated with SPACES to form SENTENCES. TERMS are separated with ADDITIONorSUBTRACTION to form EXPRESSIONS.
9. Aconstantis a term that has no variable.6a2 - 5ab + 3b - 12 6 5 12 3 TERMS Coefficients Constants
10. Solving Equations An equation is a mathematical sentence that uses an equal sign. If the equation is true, then the two expressions on either side of the equal sign represent the same value. 1+ x = 72 = 2x2 + y =67 50 + 2 = 49 + 3y = 2x - 5
15. But remember to keep it balanced.1+ x = 715 = 7+ y r - 7 = 49 x + 9 = 2x – 5
16.
17.
18. Solving One-Step Equations “The Balancing Act” 2 terms 1 term + 1 + x = 7 = We must movethis term to the other side of the equation. The term was “created” by adding a positive 1 and we must “un-create” it.
19. Solving One-Step Equationswith Addition & Subtraction 2 terms 1 term 1 + x = 7 1 - 1 + x = 7 - 1 = We must add to both sides to “balance our scale.” makes it unbalanced. adding to only one side, BUT….. x = 6 When we simplify, the result is: