Operations
The answer to an ADDITION Problem
Sum
A letter representing an unknown number.
examples: x, n, y, t, a, b
Variable
What keyword is most likely to be important:
"the band receives 20% of each ticket sold"
each or %
(multiplication)
Translate into Algebra (Number Form):
a number decreased by five
n - 5
What is the Acronym we use with Order of Operations
PEMDAS
The answer to a SUBTRACTION Problem
Difference
An algebra statement without an =, <, > or similar is called an
Expression
Find the keyword:
"What was the cyclist's average speed over his two rides?"
average
Translate into algebra:
One sixth of a number.
n/6 or (1/6)n
What does the E in PEMDAS stand for?
Exponent
The answer to a MULTIPLICATION Problem
Product
Parts of an algebra expression like
2x 3y2 x2
hint: "combine like ________"
Terms
Find the keyword:
"needs to be replaced at a cost of $13 per foot for materials"
per
(multiplication)
Translate into Algebra (Number form):
two less than 9 times a number
9x-2
What is the first operation to do to both sides? (it should be an opposite!)
4b − 2 = 2
addition
The answer to a DIVISION Problem
Quotient
To Find the Value
Evaluate
Find the keyword:
What is the area of the room in square feet?
area
Write algebraically:
A soda costs $3.50, and a hot dog costs $5. Write an equation to find the cost of x sodas and y hot dogs.
3.5x + 5y
What is the first operation to do to both sides? (it should be an opposite!)
3t + 12 = 5t + 3
subtract
What are the rules we follow for solving problems with multiple steps?
the number doing the dividing
ex: in 16/4, four is the ________
Divisor
Find the keyword:
"Kira's dad spends $44 in total."
total
(addition)
or spends
(subtraction)
An hour and a half later, a high-speed train leaves the same station on a parallel track, traveling at a speed of 260 kilometers per hour.
Write an expression to show how far the train has gone after h hours.
260(h-1.5)
What is the first operation to do to both sides? (It should be an opposite!)
(4+x)/6=8
multiplication