Learn to translate between words and math .

1. Learn to translate between words and math.

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

3. Additional Example 1A: 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 how 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.

4. Additional Example 1B 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, or26• p There are 26p pencils on the shelf.

5. Check It Out: Example 1A 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. 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.

6. 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 or125• p There are 125p paper clips in a case.

7. + Operation Numerical Expression Words Algebraic Expression Words 37 + 28 • 28 added to 37 • 37 plus 28 • the sum of 37 and 28 • 28 more than 37 There are several different ways to write math expressions with words. x+ 28 • 28 added to x • x plus 28 • the sum of x and 28 • 28 more thanx

8.  Operation Numerical Expression 90 — 12 • 12 subtracted from 90 • 90 minus 12 • the difference of 90 and 12 • 12 less than 90 • take away 12 from 90 Words Algebraic Expression k— 12 • 12 subtracted from k • k minus 12 • the difference of k and 12 • take away 12 from k Words

9.  Operation Numerical Expression 8  48 or 8  48 or (8)(48) or 8(48) or (8)48 • 8 times 48 • 48 multiplied by 8 • the product of 8 and 48 Words Algebraic Expression 8 wor(8)(w)or8w • 8 timesw • w multiplied by 8 • the product of 8 and w • 8 groups ofw Words

10. 327 3 n 3  Operation 327  3 or Numerical Expression • 327 divided by 3 • the quotientof 327 and 3 Words n  3 or Algebraic Expression Words • ndivided by 3 • thequotient of n and 3

11. 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 45x

12. y y 22 or 22 Check It Out: Example 2 Write each phrase as a numerical or algebraic expression. A. 42 less than 79 79  42 B. y divided by 22

13. 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

14. B. 12 c Check It Out: Example 3 Write two phrases for each expression. A. 17 – 14 • 14 subtracted from 17 • 17 minus 14 • 12 divided byc • the quotient of 12 and c