Translating Between Words and Math 2-2 Warm Up Problem of the Day Lesson Presentation Course 1 Course 1

2-2 Translating Between Words and Math Warm Up Course 1 2-2 Translating Between Words and Math Warm Up Evaluate each expression for x = 9. 1. 7 + x 2. 4x 3. 2x + 1 4. 36 16 36 19 4 x

Solving Subtraction Equations Course 1 2-2 Translating Between Words and Math Solving Subtraction Equations Problem of the Day Draw a square around the numbers of 4 adjacent days on the calendar for this month. Add all the numbers in the square and subtract 4 times the first number. What number do you get? 16

2-2 Translating Between Words and Math Course 1 2-2 Translating Between Words and Math Learn to translate between words and math.

2-2 Translating Between Words and Math Course 1 2-2 Translating Between Words and Math In word problems, you may need to translate words to math. Action Operation Put together or combine Add Find how much more or less Subtract Put together groups of equal parts Multiply Separate into equal groups Divide

Additional Example 1A: Social Studies Applications Course 1 2-2 Translating Between Words and Math 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.

2-2 Translating Between Words and Math Additional Example 1B Course 1 2-2 Translating Between Words and Math 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.

2-2 Translating Between Words and Math Try This: Example 1A Course 1 2-2 Translating Between Words and Math 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.

2-2 Translating Between Words and Math Try This: Example 1B Course 1 2-2 Translating Between Words and Math 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.

+ 2-2 Translating Between Words and Math 37 + 28 x + 28 Operation Course 1 2-2 Translating Between Words and Math + Operation Numerical Expression 37 + 28 Words 28 added to 37 37 plus 28 the sum of 37 and 28 28 more than 37 Algebraic Expression x + 28 Words 28 added to x x plus 28 the sum of x and 28 28 more than x

 2-2 Translating Between Words and Math 90 — 12 k — 12 Operation Course 1 2-2 Translating Between Words and Math  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 Words 12 subtracted from k 12 minus k the difference of k and 12 take away 12 from k

 2-2 Translating Between Words and Math 8  48 or 8  48 Course 1 2-2 Translating Between Words and Math  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  w or (8)(w) or 8w 8 times w w multiplied by 8 the product of 8 and w 8 groups of of w Words

 2-2 Translating Between Words and Math 37  3 or 327 3 n  3 or n 3 Course 1 2-2 Translating Between Words and Math  Operation 37  3 or Numerical Expression 327 3 327 divided by 3 the quotient of 327 and 3 Words n  3 or Algebraic Expression n 3 Words n divided by 3 the quotient of n and 3

Additional Example 2: Translating Words into Math Course 1 2-2 Translating Between Words and Math 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

2-2 Translating Between Words and Math Try This: Example 2 Course 1 2-2 Translating Between Words and Math Try This: Example 2 Write each phrase as a numerical or algebraic expression. A. 42 less than 79 79  42 B. y divided by 22 y  22 or y 22

Additional Example 3: Translating Math into Words Course 1 2-2 Translating Between Words and Math Additional Example 3: Translating Math into Words Write two phrases for each expression. A. 16 + b 16 added to b b more than 16 B. (75)(32) 75 times 32 the product of 75 and 32

2-2 Translating Between Words and Math Try This: Example 3 Course 1 2-2 Translating Between Words and Math Try This: Example 3 Write two phrases for each expression. A. 17 – 14 14 subtracted from 17 17 minus 14 B. 16 b 16 divided by b the quotient of 16 and b

2-2 Translating Between Words and Math Lesson Quiz Write an expression Course 1 2-2 Translating Between Words and Math 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 3. The product of 12 and w x  7 12w Write a phrase for each expression 4. 17 + x 5. n  12 x more than 17 or x added to 17 n divided by 12 or the quotient of n and 12