2 3 Translating Between Words and Math Problem

2 -3 Translating Between Words and Math Problem of the Day Evaluate each expression for x = 9. 1. 7 + x 16 2. 4 x 36 3. 2 x + 1 19 4. 36 x 4

2 -3 Translating Between Words and Math In word problems, you may need to identify the action to translate words into math. Action Operation Put together or combine Add Find how much more or less Subtract Put together groups of equal parts Multiply Separate into equal groups Divide

2 -3 Translating Between Words and Math Additional Example 1 A: Social Studies Application Lake Superior is the largest lake in North America. Let a stand for the area in square miles of Lake Superior. Lake Erie has an area of 9, 910 square miles. Write an expression to show much larger Lake Superior is than Lake Erie. To find how much larger, subtract the area of Lake Erie from the area of Lake Superior. a – 9, 910 Lake Superior is a – 9, 910 square miles larger than Lake Erie.

2 -3 Translating Between Words and Math Additional Example 1 B Let p represent the number of colored pencils in a box. If there are 26 boxes on the shelf, write an algebraic expression to represent the total number of pencils on the shelf. To put together 26 equal groups of p, multiply 26 times p. 26 p, or 26 • p There are 26 p pencils on the shelf.

2 -3 Translating Between Words and Math Check It Out: Example 1 A The salary of the governor of Florida for the 2008– 2009 fiscal year is $132, 932. This is d dollars more than Leones makes as a landscaper. Write an expression for Leones’ salary. 132, 932 - d

2 -3 Translating Between Words and Math Check It Out: Example 1 B A group of n friends go to the movies. They purchase adult tickets for $38. Write an expression for the price of one adult ticket. 38 38 ÷ n or n

2 -3 Translating Between Words and Math Check It Out: Example 1 C Beth has a pet cat named Buddy. In 3 years, Buddy will be b years old. Beth got Buddy when he was 2 years old. Write an expression that represents how many years Beth has had Buddy. b-5

2 -3 Translating Between Words and Math There are several different ways to write math expressions with words. Operation + Numerical Expression 37 + 28 Words • 28 added to 37 • 37 plus 28 • the sum of 37 and 28 • 28 more than 37 Algebraic Expression Words x + 28 • 28 added to x • x plus 28 • the sum of x and 28 • 28 more than x

2 -3 Translating Between Words and Math Operation Numerical Expression Words Algebraic Expression Words 90 — 12 • • • 12 subtracted from 90 90 minus 12 the difference of 90 and 12 12 less than 90 take away 12 from 90 k — 12 • 12 subtracted from k • k minus 12 • the difference of k and 12 • take away 12 from k

2 -3 Translating Between Words and Math Operation 8 48 or (8)(48) or 8(48) or (8)48 Numerical Expression Words • 8 times 48 • 48 multiplied by 8 • the product of 8 and 48 Algebraic Expression 8 w or (8)(w) or 8 w Words • • 8 times w w multiplied by 8 the product of 8 and w 8 groups of w

2 -3 Translating Between Words and Math Operation Numerical Expression Words Algebraic Expression Words 327 3 or 327 3 • 327 divided by 3 • the quotient of 327 and 3 n 3 or n 3 • n divided by 3 • the quotient of n and 3

2 -3 Translating Between Words and Math Additional Example 2: Translating Words into Math Write each phrase as a numerical or algebraic expression. A. 987 minus 12 987 12 B. x times 45 45 • x or 45 x

2 -3 Translating Between Words and Math Check It Out: Example 2 Write each phrase as a numerical or algebraic expression. A. 312 plus 58 312 + 58 B. the quotient of 21 and 10 21 ÷ 10 or 21 10

2 -3 Translating Between Words and Math Check It Out: Example 2 continued Write each phrase as a numerical or algebraic expression. C. 5 times x 5 x D. t minus 15 t - 15

2 -3 Translating Between Words and Math Additional Example 3: Translating Math into Words Write two phrases for each expression. A. 16 __ b • 16 divided by b • the quotient of 16 and b B. (75)(32) • 75 times 32 • the product of 75 and 32

2 -3 Translating Between Words and Math Check It Out: Example 3 A. The Nile River is the world’s longest river. Let n stand for the length in miles of the Nile. The Paraná River is 3, 030 miles long. Write an expression to show much longer the Nile is than the Paraná. n - 3, 030 B. Write the phrase as a numerical or algebraic expression. 42 more than 79 79 + 42

2 -3 Translating Between Words and Math Check It Out: Example 3 continued C. Write two phrases for the expression. 18 - r r less than 18 the difference of 18 and r

2 -3 Translating Between Words and Math Lesson Quizzes Standard Lesson Quiz for Student Response Systems

2 -3 Translating Between Words and Math Lesson Quiz 1. Let x represent the number of minutes Kristen works out in one week. Write an expression for the number of minutes she works out in 4 weeks. 4 x Write each phrase as a numerical or algebraic expression. 2. 7 less than x x 7 3. The product of 12 and w 12 w Write a phrase for each expression. x more than 17 or x added to 17 4. 17 + x 5. n 12 n divided by 12 or the quotient of n and 12

2 -3 Translating Between Words and Math Lesson Quiz for Student Response Systems 1. Tim has 15 more cartoon CDs than Martin has. If n represents the number of CDs Martin has, identify an expression for the number of CDs Tim has. A. n + 15 B. n – 15 C. 15 n D. n 15

2 -3 Translating Between Words and Math Lesson Quiz for Student Response Systems 2. Which of the following represents the given phrase as a numerical or algebraic expression? 35 more than n A. n + 35 B. n – 35 C. 35 n D. n 35

2 -3 Translating Between Words and Math Lesson Quiz for Student Response Systems 3. Which of the following represents the given phrase as a numerical or algebraic expression? the quotient of w and 26 A. w + 26 B. w – 26 C. 26 w D. w 26

2 -3 Translating Between Words and Math Lesson Quiz for Student Response Systems 4. Identify two phrases for the expression k – 11. A. 11 added to k or 11 more than k B. 11 subtracted from k or 11 less than k C. 11 added to k or 11 less than k D. 11 subtracted from k or 11 more than k

2 -3 Translating Between Words and Math Lesson Quiz for Student Response Systems 5. Identify two phrases for the expression 17 w. A. 17 added to w or 17 more than w B. 17 times w or 17 more than w C. 17 times w or the product of 17 and w D. 17 added to w or the product of w and 17