2-3 Translating Between Words and Math Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quiz Lesson Quiz

2-3 Translating Between Words and Math x Warm Up Evaluate each expression for x = x 2. 4x 3. 2x

2-3 Translating Between Words and Math Problem of the Day Draw a square around the numbers of four adjacent days on the calendar for this month. Add all the numbers in the square and subtract four times the first number. What number do you get? 16

2-3 Translating Between Words and Math MA.6.A.3.1 Write and evaluate mathematical expressions…given situations. Sunshine State Standards

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

2-3 Translating Between Words and Math 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 how much larger Lake Superior is than Lake Erie. Additional Example 1A: Social Studies Application 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 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. 26p, or 26 p There are 26p pencils on the shelf. Additional Example 1B

2-3 Translating Between Words and Math 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. Check It Out: Example 1A 132,932 - d

2-3 Translating Between Words and Math Check It Out: Example 1B 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 ÷ n or 38 n

2-3 Translating Between Words and Math Check It Out: Example 1C 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 added to plus 28 the sum of 37 and more than added to x x plus 28 the sum of x and more than x x Operation Numerical Expression Words Algebraic Expression Words There are several different ways to write math expressions with words.

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

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

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

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

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

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

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

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 how much longer the Nile is than the Paraná. n - 3,030 B. Write the phrase as a numerical or algebraic expression. 42 more than

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