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“1 & 2 Step Equation” Word Problems Notes
When writing word problems into an equation,
there are key words to memorize.
Algebraic expression
An algebraic expression is a combination of
variables (letters), numbers, and at least one
operation. (ex: 2n+5)
Numerical expression
A numerical expression is a combination of
numbers and operations. (ex: 2-5)
Algebraic equation:
An Algebraic equation is a mathematical sentence
that contains an equal’s sign with variables,
numbers, and operation. (ex: 2N +5 =12)
Addition key words are
*More than
Increased by
Sum
*Less than (ex: 2 less than 5 is written as 5-2)
Decreased by
Difference
Less ( ex:
Product
Twice (2 times )
Subtraction key words are
Multiplication key words are
“of” when it’s by itself (ex:
Division key words are
Equal key words are
Ex. Write an algebraic equation.
1. Six less than a number is 20.
2. Bottle-nosed dolphins and killer whales
are the best -known species of the dolphin
family. A killer whale, which can grow to a
length of 9 meters, is 4 meters longer than
a bottle-nosed dolphin. How long is a
bottle-nosed dolphin, d?
3. A pair of shoes costs $25. This is $14 less
than the cost of a pair of jeans, J. Find the
cost of the jeans.
4. Zack is 15 years old. This is 3 years
younger than twice his brother Tyler, T.
How old is Tyler?
1
1
of 12 means  12
2
2
Quotient
Ratio
Is
verbs
Answer:
1. Six less than a number, n is 20.
n-6 = 20
2. A killer whale, which can grow to a length
of 9 meters, is 4 meters longer than a
bottle-nosed dolphin, d.
9= d+4 or d+4 = 9
3. A pair of shoes costs $25. This is $14 less
than the cost of a pair of jeans, J.
25 = J- 14 or J- 14=25
4. Zack is 15 years old. This is 3 years
younger than twice his brother Tyler, T.
15 = 2T- 3 or 2T- 3=15
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