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2-1 Evaluating and Writing Algebraic Expressions

Video Tutor Help Evaluating algebraic expressions with one variableEvaluating algebraic expressions with one variable(2-1) Writing algebraic expressions from word phrasesWriting algebraic expressions from word phrases (2-1) Writing a rule from wordsWriting a rule from words (2-1) Chapter 2 Equations Evaluating and Writing Algebraic Expressions Writing Algebraic Expression Evaluating Algebraic Expressions Khan Academy Distributive property Brain Pop

Video Tutor Help Vocabulary (Electronic) Flash Cards Exponents, Factors, and Fractions Vocabulary 2A: Graphic Organizer Vocabulary 2B: Reading Comprehension Vocabulary 2C: Reading/Writing Math Symbols Vocabulary 2D: Visual Vocabulary Practice Vocabulary 2E: Vocabulary C Vocabulary 2F: Vocabulary Review Puzzle

Worksheets Daily Notetaking Guide Worksheets Version A Practice, Guided Problem Solving Lesson 2-1 Practice 2-1 Guided Problem Solving 2-1

Vocabulary Practice Vocabulary 1A: Graphic Organizer Vocabulary 1B: Reading Comprehension Vocabulary 1C: Reading/Writing Math Symbols Vocabulary 1D: Visual Vocabulary Practice Vocabulary 1E: Vocabulary C Vocabulary 1F: Vocabulary Review Puzzle Vocabulary (Electronic) Flash Cards

Additional Lesson Examples Step-by-Step Examples Lesson 2-1

Lesson Readiness Lesson Quiz Problem of the Day Lesson 2-1

Example 3-1a Translate three more than half a number is 15 into an equation. Answer: Translate Sentences into Equations

Example 3-1b Translate five more than one-third a number is 7 into an equation. Answer:

Example 3-2a Translate nineteen is two more than five times a number into an equation. Answer: Translate Sentences into Equations

Example 3-2b Translate fifteen is three more than six times a number into an equation. Answer:

Example 3-3a Translate eight less than twice a number is –35 into an equation. Answer: Translate Sentences into Equations

Example 3-3b Translate six less than three times a number is –22 into an equation. Answer:

Example 3-4a Two more than of a number is 6. Find the number. Two more than of a number is 6. Words Variable Equation Translate and Solve an Equation

Example 3-4a Answer: The number is 12. Simplify. Mentally multiply each side by 3. Subtract 2 from each side. Write the equation.

Example 3-4b Three more than six times a number is 15. Find the number. Answer: 2

LESSON 2-1 Write an algebraic expression for each word phrase. a.6 less than d dollars b.the sum of s students and 9 students c.12 times b boxes d.20 books divided equally among s students d – 6 s b 20 s Evaluating and Writing Algebraic Expressions Additional Examples

LESSON 2-1 The cost of a package of markers is d dollars. Write an algebraic expression for the total cost in dollars of 7 packages of markers. Words number of packages times cost per package d = cost per package An algebraic expression for the total cost in dollars is 7d. Equation 7 d Evaluating and Writing Algebraic Expressions Additional Examples

LESSON 2-1 Write three word phrases for 2y. Evaluating and Writing Algebraic Expressions Additional Examples

Example 1-1a Use the Distributive Property to write as an equivalent expression. Then evaluate the expression. Answer: 52 Multiply. Add. Use the Distributive Property

Example 1-1b Use the Distributive Property to write as an equivalent expression. Then evaluate the expression. Answer: 30 Multiply. Add. Use the Distributive Property

Example 1-1c Use the Distributive Property to write each expression as an equivalent expression. Then evaluate the expression. a. b. Answer:

Example 1-2a Recreation North Country Rivers of York, Maine, offers one-day white-water rafting trips on the Kennebec River. The trip costs $69 per person, and wet suits are $15 each. Write two equivalent expressions to find the total cost of one trip for a family of four if each person uses a wet suit. Method 1 Find the cost for 1 person, then multiply by 4. cost for 1 person Use the Distributive Property to Solve a Problem

Example 1-2a Method 2Find the cost of 4 trips and 4 wet suits. Then add. cost of 4 wet suits cost of 4 trips

Example 1-2b Evaluate either expression to find the total cost. Distributive Property Multiply. Add. Answer:The total cost is $336. CheckYou can check your results by evaluating 4($84). Use the Distributive Property to Solve a Problem

Example 1-2c Movies The cost of a movie ticket is $7 and the cost of a box of popcorn is $2. a.Write two equivalent expressions to find the total cost for a family of five to go to the movies if each member of the family gets a box of popcorn. b.Find the total cost. Answer: $45 Answer:

Example 1-3a Use the Distributive Property to write as an equivalent algebraic expression. Simplify. Answer: Simplify Algebraic Expressions

Example 1-3b Use the Distributive Property to write as an equivalent algebraic expression. Simplify. Answer: Simplify Algebraic Expressions

Use the Distributive Property to write each expression as an equivalent algebraic expression. a. b. Example 1-3c Answer:

Example 1-4a Use the Distributive Property to write as an equivalent algebraic expression. Rewriteas Distributive Property Simplify. Definition of subtraction Answer: Simplify Expressions with Subtraction

Example 1-4b Use the Distributive Property to write as an equivalent algebraic expression. Distributive Property Simplify. Answer: Rewriteas Simplify Expressions with Subtraction

Use the Distributive Property to write each expression as an equivalent algebraic expression. a. b. Example 1-4c Answer:

LESSON 2-1 Evaluate each expression. Use r = 8, s = 1, and t = 3. a.6(t – 1) b. r s + t 6(t – 1) = 6(3 – 1)Substitute. = 6(2) Subtract. = 12 Multiply. =Substitute. r s + t =Simplify the denominator = 2 Divide. Evaluating and Writing Algebraic Expressions Additional Examples