TRANSLATING BETWEEN WORDS AND MATH #5
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
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. Real-World Application: Example 1
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. Example 2
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. Example 3
Example 4 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.
Example 5 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
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.
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
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
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
Write each phrase as a numerical or algebraic expression. Example 6: Translating Words into Math A. 987 minus 12 B. x times 45
Write each phrase as a numerical or algebraic expression. Example 7 B. the quotient of 21 and 10 A. 312 plus 58
Write two phrases for each expression. Example 8: Translating Math into Words A. 16 B. (75)(32) b __