by Gavin McGerald

Words Into SymbolsWords Into SymbolsWords Into SymbolsWords Into SymbolsObjective: To translate word phrases Objective: To translate word phrases into algebraic expressions and word into algebraic expressions and word

sentences into equations sentences into equations

by Gavin McGerald

Expressionsexamples

a. A number decreased by 3

b. A number increased by 7

c. 4 more than the square of a number

d. The difference of twice a number and 5

e. Twice the sum of a number and 5

a. X – 3

b. n + 7

c. b2 + 4

d. 2n – 5

e. 2(x + 5)

by Gavin McGerald

In a word problem• A train leaves town A going east at 70m

mph toward town B, another train from town A left an hour later at 60 mph going west. What is the distance between the two trains after x hours?

• D = rt• 60(x-1) 70x

• 60(x-1) + 70x = 60x – 60 +70x = 130x - 60

TownA

by Gavin McGerald

Consecutive Numbers• The sum of 4 consecutive odd integers is 64

find each integer• First number is x, next number must be x + 2

the third x + 4 and so on.• x + (x + 2) + (x + 4) + (x + 6) = 64• 4x + 12 = 64• 4x = 52• x = 13• 13, 15, 17, 19