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EXAMPLES & SOLUTIONS
Components assist in understanding what rules and operaters are needed to solve the word problem.
Word problems are mathematical sentences.
They contain the proper rules, components, & operators needed to solve a problem.
Numeric expressions contain numbers and constants.
Algebraic expressions contain variables and numbers or constants.
WRITING EXPRESSIONS
Writing a expression from a word problem
Numeric Expressions
Word Problem
A store receives 2 eagles
and 5 geese.
Gathering Information
Variables: there are no unknown values
Terms: two terms: 2 eagles, 5 geese
Coefficient: there is nothing additional to increase/decrease
Constant: there is only 2 eagles and 5 geese
Operator: "how many" means to add, '+'
Components
Variables: none
Coefficient: none
Constant: 2, 5
Operator: '+'
Terms: 2, 5
Write the Expression
eagles: 2
how many: '+'
geese: 5
2 + 5
Algebraic Expessions
Word Problem
Every time the store gets 2 eagles the number of geese triples. How many total birds did the store recieve?
Gathering Information
Variables: the unknown number of geese
Terms: two terms: 2 eagles & the unknown number of geese
Coefficient: increases the number of geese by 3 or triples the geese
Constant: the number of eagles will remain the same
Operator: "how many" means to add, '+'
Components
Variables: x
Coefficient: 3
Constant: 2
Operator: '+'
Terms: 2, 3x
Write the Expression
eagles: 2
how many: '+'
variable: x
# of geese tripled: 3x
2 + 3x
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