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HW: Pg.50 #5-17 ANSWERS
Course 1
2-2 Translating Between Words and Math
6th Grade Math HW
Page 54#8-23
Course 1
2-2 Translating Between Words and Math
Course 1
2-2 Translating Between Words and Math
Course 1
Warm UpWarm Up
Lesson PresentationLesson PresentationProblem of the DayProblem of the Day
1636
194
Course 1
2-2 Translating Between Words and Math
Warm UpEvaluate each expression for x = 9.
1. 7 + x2. 4x3. 2x + 14. 36
x
Problem of the DayDraw 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
Today’s Learning GoalLearn 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 12987 12
B. x times 4545 • 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 7979 42
B. y divided by 22y 22 or y
22
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