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2-1 Evaluating and Writing Algebraic Expressions
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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
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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
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Worksheets Daily Notetaking Guide Worksheets Version A Practice, Guided Problem Solving Lesson 2-1 Practice 2-1 Guided Problem Solving 2-1
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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
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Additional Lesson Examples Step-by-Step Examples Lesson 2-1
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Lesson Readiness Lesson Quiz Problem of the Day Lesson 2-1
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Example 3-1a Translate three more than half a number is 15 into an equation. Answer: Translate Sentences into Equations
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Example 3-1b Translate five more than one-third a number is 7 into an equation. Answer:
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Example 3-2a Translate nineteen is two more than five times a number into an equation. Answer: Translate Sentences into Equations
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Example 3-2b Translate fifteen is three more than six times a number into an equation. Answer:
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Example 3-3a Translate eight less than twice a number is –35 into an equation. Answer: Translate Sentences into Equations
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Example 3-3b Translate six less than three times a number is –22 into an equation. Answer:
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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
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Example 3-4a Answer: The number is 12. Simplify. Mentally multiply each side by 3. Subtract 2 from each side. Write the equation.
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Example 3-4b Three more than six times a number is 15. Find the number. Answer: 2
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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 + 9 12b 20 s Evaluating and Writing Algebraic Expressions Additional Examples
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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
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LESSON 2-1 Write three word phrases for 2y. Evaluating and Writing Algebraic Expressions Additional Examples
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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
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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
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Example 1-1c Use the Distributive Property to write each expression as an equivalent expression. Then evaluate the expression. a. b. Answer:
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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
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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
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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
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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:
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Example 1-3a Use the Distributive Property to write as an equivalent algebraic expression. Simplify. Answer: Simplify Algebraic Expressions
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Example 1-3b Use the Distributive Property to write as an equivalent algebraic expression. Simplify. Answer: Simplify Algebraic Expressions
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Use the Distributive Property to write each expression as an equivalent algebraic expression. a. b. Example 1-3c Answer:
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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
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Example 1-4b Use the Distributive Property to write as an equivalent algebraic expression. Distributive Property Simplify. Answer: Rewriteas Simplify Expressions with Subtraction
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Use the Distributive Property to write each expression as an equivalent algebraic expression. a. b. Example 1-4c Answer:
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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 8 1 + 3 =Simplify the denominator. 8484 = 2 Divide. Evaluating and Writing Algebraic Expressions Additional Examples
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