Unit 2: Algebraic Expressions. Day 1

Transcription

1 Unit 2: Algebraic Expressions Day 1

2 Variables & Evaluating Expressions

3 Objectives - Translate Algebraic Expressions into Verbal Expressions - Translate Verbal Expressions into Algebraic Expressions.

4 A1.1.1 Operations with Real Numbers and Expressions A Use Exponents, roots, and/or absolute values to solve problems. A Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems. Note: Exponents should be integers from -10 to 10.

5 Think about it Joe scored 25 goals in soccer this year. Together, Joe and Nina scored 48 goals. How many goals did Nina score?

6 Key Terms Algebraic Expression: Expression consisting of sums/differences/products/quotients of numbers & variables (no equal signs) Variable: Symbol used to represent unknown numbers or values.

7 Writing Algebraic Expressions Addition: Subtraction: Multiplication: Division:

8 Translating Algebraic Expressions into Verbal Expressions 3x 4 2 5z 16

9 Translating Algebraic Expressions to Verbal Expressions 16u 2 3

10 Translating Verbal Expressions into Algebraic Expressions a number t more than 6 10 less than the product of 7 and f two thirds of the volume v

11 Translating Verbal Expressions into Algebraic Expressions the product of p and 6 one third of the area a

12 Application: Writing an Expression Mr. Martinez orders 250 key chains printed with his athletic team s logo and 500 pencils printed with their Web Address. Write an algebraic expression that represents the cost of the order.

13 Application: Writing an Expression Katie estimates that 1/8 of the people who order beverages also order pastries. Write an algebraic expression to represent how many people order pastries.

14 Exit Ticket A small company has $1,000 to distribute to its employees as a bonus. Write an algebraic expression that represents the amount that each employee will receive.

15 Homework Worksheet

16 Unit 2: Algebraic Expressions Day 2

17 Variables & Evaluating Expressions

18 Objectives - Evaluate algebraic expressions

19 A1.1.1 Operations with Real Numbers and Expressions A Use Exponents, roots, and/or absolute values to solve problems. A Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems. Note: Exponents should be integers from -10 to 10.

20 Example 1 Evaluate the algebraic expression using the given information and your order of operations. Evaluate 3x 2 +(2y + z 3 ) if x = 4, y = 5, z = 3.

21 Example 2 Evaluate the algebraic expression using the given information and your order of operations. Evaluate a 2 (3b+5) c if a = 2, b = 6, c = 4.

22 Example 3 Evaluate the algebraic expression using the given information and your order of operations. Evaluate 5d + 2( 6 f - g) -2 if d = 4, f = 3, g = 5

23 Example 4 Evaluate the algebraic expression using the given information and your order of operations. Evaluate 6 7x if x =12.

24 Example 5 Evaluate the algebraic expression using the given information and your order of operations. Evaluate 2 5x if x 10.

25 Example 6 Evaluate the algebraic expression using the given information and your order of operations. Evaluate 3 -a + 2b 3 if a = 7 and b = -3.

26 Exit Ticket Evaluate the algebraic expression using the given information and your order of operations. Evaluate 3g(g+r) -3-1 if g = 4 and r = -2.

27 Example 6 Akira bought one new book for $20 and three used books for $4.95 each. Write and evaluate an expression to find how much money the books cost.

28 Example 5 According to the California Department of Forestry, an average of fires each year are started by burning debris, while campfires are responsible for an average of each year. a) Write an algebraic expression that represents the number of fires, on average, in d years of debris burning and c years of campfires. b) How many fires would there be in 5 years?

29 Example 7 Koto purchased food for herself and her friends. She bought 4 cheeseburgers for $2.25 each, 3 french fries for $1.25 each, and 4 drinks for $4.00. Write and evaluate an expression to find how much the food cost.

30 Homework P13: 36-38, 49-54, 55, 56, 65, 66, 68