Chapter 6 ALGEBRA Lesson 1 The Language of

Chapter 6: ALGEBRA Lesson 1 - The Language of Algebra EXAMPLES

Expression: -5 x + 2 y -3 z +9 Example 1: Identify the following Variable(s) Term(s) Coefficient(s) Constant(s)

Expressions vs. Equations An expression is like a phrase. An equation is like a sentence. EXPRESSION NUMERICAL VARIABLE EQUATION 5(3) – 4 5(3) - 4 = 11 5 x - 4 =11

Which are Equations? circle I. 2 x + 3 = 15 II. 11 a = 22 III. -3 x + 2 y -4 z IV. x 2 + 3 xy = 10 V. 5 n + 5 m = -6 m +2 V. 2(x + 3)

Translation of English Sentence Algebra Equation Understanding how to write an algebra expression requires you to know the synonyms for mathematical operations. ADDITION SUBTRACTION Increase More than Sum Greater than Minus Reduced Decreased (by) Difference MULTIPLICATION DIVISION Times Product Into Divided by Quotient

Translating from… English Algebra Expressions The sum of a number and seven. Nine less than a number. A number less than nine. Two times a number. The quotient of six and a number.

TRICKY Translations from English Algebra Twice the sum of a number and 4. Twice means 2 • BOTH the x + 4 vs. The sum of twice a number and 4 The addition of 2 • and x and 4

Translating from… English Algebra Equations A number increased by 9 is 22. Half a number is reduced by 10, the answer is equal to 14. Four is subtracted from a number to give 7. Three less than a number is 6. 20 divided by some number is four.

Daily Assignment • A practice sheet will be handed out on using the language of algebra (Pre. Algebra pg 79 - 80 • Please answer all questions on a separate piece of paper