Course 1

2-2 Translating Between Words and Math

Course 1

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

16

36

19

4

Course 1

2-2 Translating Between Words and Math

Warm UpEvaluate each expression for x = 9.

1. 7 + x

2. 4x

3. 2x + 1

4. 36 x

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

Solving Subtraction Equations

Course 1

2-2 Translating Between Words and Math

Learn to translate between words and math.

Course 1

2-2 Translating Between Words and Math

In word problems, you may need to translate words to math.

Course 1

2-2 Translating Between Words and Math

Put together or combine

Find how much more or less

Put together groups of equal parts

Separate into equal groups

Add

Subtract

Multiply

Divide

Action Operation

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 Applications

Course 1

2-2 Translating Between Words and Math

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.

Additional Example 1B

Course 1

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

There are 26p pencils on the shelf.

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.

Try This: Example 1A

Course 1

2-2 Translating Between Words and Math

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.

Try This: Example 1B

Course 1

2-2 Translating Between Words and Math

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.

Course 1

2-2 Translating Between Words and Math

37 + 28

• 28 added to 37

• 37 plus 28

• the sum of 37 and 28

• 28 more than 37

• 28 added to x

• x plus 28

• the sum of x and 28

•28 more than x

x + 28

++Operation

Numerical Expression

Words

Algebraic Expression

Words

Course 1

2-2 Translating Between Words and Math

• 12 subtracted from k

• 12 minus k

• the difference of k and 12

• take away 12 from k

k — 12

Operation

Numerical Expression

Words

Algebraic Expression

Words

90 — 12

• 12 subtracted from 90• 90 minus 12• the difference of 90 and 12• 12 less than 90• take away 12 from 90

Course 1

2-2 Translating Between Words and Math

• 8 times w• w multiplied by 8• the product of 8 and w• 8 groups of of w

8 w or (8)(w) or 8w

Operation

Numerical Expression

Words

Algebraic Expression

Words

8 48 or 8 48

• 8 times 48• 48 multiplied by 8• the product of 8 and 48

or (8)(48) or

8(48) or (8)48

Course 1

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

37 3 or

• 327 divided by 3• the quotient of 327 and 3

3273

n3

Write each phrase as a numerical or algebraic expression.

Additional Example 2: Translating Words into Math

Course 1

2-2 Translating Between Words and Math

A. 987 minus 12

987 12

B. x times 45

45 • x or 45x

Write each phrase as a numerical or algebraic expression.

Try This: Example 2

Course 1

2-2 Translating Between Words and Math

A. 42 less than 79

79 42

B. y divided by 22

y 22 or y22

Write two phrases for each expression.

Additional Example 3: Translating Math into Words

Course 1

2-2 Translating Between Words and Math

A. 16 + b

• 16 added to b

B. (75)(32)

• 75 times 32

• b more than 16

• the product of 75 and 32

Write two phrases for each expression.

Try This: Example 3

Course 1

2-2 Translating Between Words and Math

A. 17 – 14

• 14 subtracted from 17

• 16 divided by b

• 17 minus 14

• the quotient of 16 and b

B. 16b

Write an expression1. 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.

Lesson Quiz

Write each phrase as a numerical or algebraic expression 2. 7 less than x3. The product of 12 and w

4x

x 712w

x more than 17 or x added to 17n divided by 12 or the quotient of n and 12

Course 1

2-2 Translating Between Words and Math

Write a phrase for each expression 4. 17 + x5. n 12