Go over homework

1. Go over homework

3. Ch. 1-1 Algebraic Expressions and the Order of Operations

4. Algebra Map In the concept map below, various aspects of algebra are found, as well as how the aspects relate to different parts of "language" such as nouns, verbs, and pronouns.

5. Different Ways to Show Multiplication: Different Ways to Show Division:

6. Ch. 1-1 Algebraic Expressions and the Order of Operations -a variable is a symbol that stands for one or more numbers Example: x = 2 y = -4 z = 0 -an algebraic expression is a mathematical phrase that uses numbers variables and operation symbols. Example: x + 2 y – 2 4x You can translate word phrases into algebraic expressions.

7. Less... Less than... Is Less Than • Be cautious when you are translating to be exact, especially with the word phrases: "Less, Less than, and Is less than." Read the following English phrase and notice how the algebraic phrase is written. Common words used in English:

8. A symbol that stands for one or more numbers, like a pronoun x = slope of a line h = height z = 22 t = -55 variable

9. mathematical phrase that uses numbers variables and operation symbols, like an incomplete sentence y – 2 x + 2 4x Algebraic expression

10. Numerical expression mathematical phrase that uses numbers and operation symbols, like an incomplete sentence 5 – 2 2 + 2 4 x 8

11. Example 1: Write an algebraic expression for each statement below. a.) At a ballpark, team hats are $15 each. Let n represent the number of hats purchased. b.) You lose $5 from your wallet. Let x represent the original amount of money that you started with. 15n x - 5 -to simplify an expression means to replace each variable with its simplest name -to evaluate an expression, replace each variable with a number and then simplify

12. Simplify means to replace each variable with its simplest name 25y – 5y Simplified is 20y 5x + 2x Simplified is 7x 4t x 8 Simplified is 32t

13. Evaluate replace each variable with a number and then simplify n = 4 n + 5 = 9 6n = 24 n/4 = 1

14. Get out whiteboards – Going to practice 

15. 5 less than a number n 15 more than the absolute value of a number The number of minutes in n hours 5 more than a number, divided by 9 3 more than the product of 8 and a number 3 less than the absolute value of a number, times 4 The amount of money Waldo has if he has $10 more than Jon The amount of money that Mika has is she has some quarters How much weight Kirk can lift if he lifts 30lb more than his brother How fast Rya runs if she runs 5 mi/hr slower than Danae n -5 |n| + 15 60n (x+5) / 9 or as a fraction 8y +3 4 ( |n| +3 ) J +10 .25q W +30 d - 5

16. N / 4 n + 4 3n N - 8 A number divided by four The quotient of a number and four 4 more than a number The sum of a number and 4 A number increased by 4 The product of 3 and a number Tripled a number or a number tripled 3 times a number 8 less than a number The difference of a number and 8 A number decreased by 8

17. Order of Operations: Basically "4" Rules (Do the rules in order): RULE 1 - Do all operations within grouping symbols (parentheses, brackets, vinculum (fraction bar)) RULE 2 - Evaluate the number value for any exponents RULE 3 - Multiply or divide in order from left to right RULE 4 - Add or subtract in order from left to right Example 3: Use the order of operations to simplify each expression below. x = 4 and y = 2 a.) (x + 4) – 5 + x * 3 b.) 2y – x + 8/y c.) xy/2 + 5 – 3 d.) 18 – 3y + (x – 2) Plug in for x and y (4 + 4) – 5 + 4 * 3 Plug in for x and y 2(2) – 4 + 8/2 Simplify using order of operations (8) – 5 + 12 = 15 Simplify using order of operations 4 – 4 + 4 = 4 Plug in for x and y 4(2)/2 + 5 - 3 Plug in for x and y 18 – 3(2) + (4 – 2) Simplify using order of operations 8/2 + 5 – 3 = 6 Simplify using order of operations 18 – 6 + 2 = 14

19. Classwork – Textbook p 7 1-5 C3 Section 1.1 Homework– Textbook page 7-8; 6-24 evens show work for each problem or no points Problems 6, 8, 18 do not need to show work put a circle around the problem number