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Algebra
2.1 Notation, Vocabulary, and Manipulation
2.1.1 Understanding algebraic notation and conventions
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Cards (26)
Match the key term with its meaning:
Variables
↔️
Letters
representing unknown values
Constants
↔️ Fixed numbers
Operation Symbols
↔️ Mathematical actions
Expressions
↔️ Phrases with numbers, variables, and operations
What do variables represent in algebraic notation?
Unknown values
The symbol
*
*+
*
* is used to indicate addition in
algebra
.
True
The symbol
^
is used to indicate subtraction in algebraic expressions.
False
What operation does the symbol
-
represent in algebra?
Subtraction
Match the algebraic symbol with its meaning:
+
↔️
Addition
-
↔️
Subtraction
×
↔️
Multiplication
÷
↔️
Division
In the equation x + 3 = 8, what is the value of x?
5
Arrange the steps of simplifying an expression with parentheses:
1️⃣
Addition inside
parentheses
2️⃣
Multiplication
after simplifying inside parentheses
Parentheses
tell you which calculations to do first in an algebraic expression.
True
Variables in algebra are represented by symbols such as x, y, and
z
.
True
What is a variable in mathematics?
A
letter
for
unknown
values
What is the mathematical symbol for exponents in PEMDAS?
^
What is the final answer to the expression 2 × (3 + 4) – 5?
9
Match the expression with its simplified form:
4
+
3
×
2 ↔️ 10
(4 + 3) × 2 ↔️ 14
Algebraic expressions can be solved to find a specific value.
False
What is the acronym used to remember the order of operations?
PEMDAS
Multiplication comes before division in
PEMDAS
.
True
Constants
are fixed numbers in expressions.
True
Why are parentheses used in algebraic expressions?
To change the
order
What is algebraic notation used for?
Expressing
mathematical
ideas
The expression
**3x + 5**
can be simplified but not solved to find a specific value.
True
What is the key difference between an algebraic expression and an algebraic equation?
An
equals sign
Steps to solve 2 × (3 + 4) – 5 using PEMDAS
1️⃣ Calculate inside the
parentheses
: (3 + 4) = 7
2️⃣ Perform
multiplication
: 2 × 7 = 14
3️⃣ Perform subtraction: 14 – 5 = 9
Give an example of an operation symbol used in algebraic notation.
×
Match the term with its example:
Algebraic Expression
↔️ 3x + 5
Algebraic Equation
↔️ 3x + 5 = 14
An expression in algebraic notation includes numbers, variables, and operations.
True