2-2. Learn to translate between words and math. Course 1

Transcription

1 Learn to translate between words and math.

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

3 Additional Example 1A: Social Studies Applications 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 There are 26p pencils on the shelf.

5 Try This: 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 is n 3,030 miles longer than the Paraná.

6 Try This: 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 There are 125p paper clips in a case.

7 Operation + Numerical Algebraic added to plus 28 the sum of 37 and more than 37 x added to x x plus 28 the sum of x and more than x

8 Operation Numerical Algebraic subtracted from minus 12 the difference of 90 and less than 90 take away 12 from 90 k subtracted from k 12 minus k the difference of k and 12 take away 12 from k

9 Operation Numerical Algebraic 8 48 or 8 48 or (8)(48) or 8(48) or (8)48 8 times multiplied by 8 the product of 8 and 48 8 w or (8)(w) or 8w 8 times w w multiplied by 8 the product of 8 and w 8 groups of of w

10 Operation Numerical 37 3 or Algebraic 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

11 Additional Example 2: Translating into Math Write each phrase as a numerical or algebraic expression. A. 987 minus B. x times x or 45x

12 Try This: Example 2 Write each phrase as a numerical or algebraic expression. A. 42 less than B. y divided by 22 y 22 or y 22

13 Additional Example 3: Translating Math into Write two phrases for each expression. A b 16 added to b b more than 16 B. (75)(32) 75 times 32 the product of 75 and 32

14 Try This: Example 3 Write two phrases for each expression. A subtracted from minus 14 B. 16 b 16 divided by b the quotient of 16 and b

15 Lesson Quiz Write an expression 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. 4x Write each phrase as a numerical or algebraic expression 2. 7 less than x x 7 3. The product of 12 and w 12w Write a phrase for each expression x x more than 17 or x added to n 12 n divided by 12 or the quotient of n and 12