What do these signs mean? What process are you doing to know the meaning of these signs?

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What do these signs mean?

What process are you doing to know the meaning of these signs?

Solve.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

LTI can solve equations that are word problems

Steps in solving word problemsStep 1Read the problem entirely– Underline/box the question

Step 2Work in an organized manner– Figure out exactly what you need but don’t have– Name/label things• Pick variables to stand for the unknowns Draw pictures,

if it helps you• Look for “key” words that indicate certain mathematical

operations.

Words that indicate an Operation

Additionincreased bymore thanCombined, togetherSumAdded to

SubtractionDecreased byMinus, lessDifference between/ofLess than, fewer than

MultiplicationOfTimes, multiplied byProduct of

DivisionPer, aOut ofRatio of, quotient ofPercent (divide by 100)

EqualsIs, are, was, were will beGives, yieldsSold for

Consecutive Numbers 1 +1 2 +1 3 +1 4

n n+1 n+2 n+3

Even Consecutive Numbers2 +2 4 +2 6 +2 8

n n+2 n+4 n+6

Odd Consecutive Numbers1 +2 3 +2 5 +2 7

n n+2 n+4 n+6

Number Word Problems

Hints• Represent the first number by a variable, “n”• When finding the sum of consecutive even or

consecutive odd integers, you are always adding by 2’s.

Example

The sum of two consecutive numbers is 15. Find the numbers.

Example

The sum of 3 consecutive odd numbers is 147. Find the numbers.

Age Word Problems

When solving age problems, you need to represent the following in terms of a variable:• the present ages of the people or things

involved• the age, at the other specified time, of the

people or things involved • then, form an equation based on these

representations

Example

Cary is 9 years older than Dan. In 7 years, the sum of their ages will equal 93. Find both of their ages now.

Example

Fred is 4 times as old as his niece, Selma. Ten years from now,he will be twice as old as she will be. How old is each now?

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