2-2 Translating Between Words and Math Learn to translate between words and math.

2-2 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

2-2 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.

2-2 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

2-2 Translating Between Words and Math 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. Check It Out: Example 1A To find how much longer, subtract the length of the Paraná from the length of the Nile. n – 3,030 The Nile River is n – 3,030 miles longer than the Paraná River.

2-2 Translating Between Words and Math Check It Out: Example 1B Let p represent the number of paper clips in a box. If there are 125 boxes in a case, write an algebraic expression to represent the total number of paper clips in a case. To put together 125 equal groups of p, multiply 125 times p. 125p or 125 p There are 125p paper clips in a case.

2-2 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.

2-2 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

2-2 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

2-2 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

2-2 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

2-2 Translating Between Words and Math Write each phrase as a numerical or algebraic expression. Check It Out: Example 2 A. 42 less than  42 B. y divided by 22 y  22 or y 22

2-2 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 __

2-2 Translating Between Words and Math Write two phrases for each expression. Check It Out: Example 3 A. 17 – subtracted from divided by c 17 minus 14 the quotient of 12 and c B. 12 c