Download Name Period ______ Date ______ Study Guide – Algebraic

Name ___________________________________________
Period __________
Date ____________
Study Guide – Algebraic Expressions, Evaluating Expressions, Solving One-Step Equations
Vocabulary
Algebraic Equation – has numbers, variables, operations, and an equal (=) sign
Examples:
3x – 4 = 5
6y + 9 = 27
Algebraic Expression – has numbers, operations, and variables
Examples:
x + 3
2y – 5
Means 2 · y - 5
variable
Inverse – opposite
Examples: inverse of addition  subtraction
subtraction  addition
multiplication  division
division  multiplication
Numeric Expression – has numbers and operations
Examples:
4+5
2 · 7
Operation – addition (+), subtraction (-), multiplication (·), or division (÷) symbol
Variable – letter that represents an unknown number
Examples:
x, a, b
Writing Expressions  translate the words into numbers, variables, and operations
Examples: five inches more than the height
Need to switch the
5
+
h
values because of the
switch
words “more than”
The algebraic expression is h + 5
Evaluating (Solving) Expressions substitute the number value in for a variable (letter)
Example:
4r – 10s
when r = 5, s = 2
4 · 5 – 10 · 2
20 – 20
0
Solving One-Step Equations  remember to use the inverse operation
Example:
y - 5 = 14
12 = 4g
8·a=3·8
+5 + 5
4 4
8_____
Y = 19
3 = g
a = 24
KEY WORDS
SUM
ADD
ADDED TO
PLUS
MORE THAN
INCREASED BY
AND
TOGETHER
ADDITIONAL
DIFFERENCE
MINUS
SUBTRACTED FROM
LESS
LESS THAN
DECREASED BY
PRODUCT
MULTIPLIED BY
TIMES
PER
OF
DOUBLED
TRIPLED
DIVIDED BY
DIVIDED INTO
QUOTIENT OF
SEPARATED INTO
RATIO OR RATIO OF
EACH
EQUAL OR SPLIT EQUALLY
IS
ARE
WAS
WERE
WILL BE
GIVES
YIELDS
SYMBOL
+
x
÷
=