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GCSE Mathematics
2. Algebra
2.1 Notation, Vocabulary, and Manipulation
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Cards (40)
What is a variable in an algebraic expression?
Symbol representing unknown values
What is the numerical factor multiplying a variable called?
Coefficient
What are the constants in the expression `5x + 3y - 2`?
-2
When multiplying powers with the same base, you add the
exponents
What are like terms in algebraic expressions?
Terms with same variable(s) and exponent(s)
Exponents indicate how many times to multiply a base number by
itself
What is the result of adding like terms in the expression `2x + 3x`?
5x
Like terms in algebraic expressions must have the same variable(s) and
exponent(s)
.
True
What is the first step in multiplying algebraic expressions?
Apply distributive property
Divide the algebraic expression: `(8x² + 4x) / (2x)`
4x + 2
Expand the brackets in the expression: `3(2x + 4)`
6x + 12
The greatest common factor (
GCF
) is the largest factor that divides all terms evenly.
True
An algebraic expression combines numbers, variables, and arithmetic
operations
Constants in algebraic expressions are fixed numerical
values
In the algebraic expression `3x + 5`, the term `3x` combines a number and a
variable
What is the value of 3²?
9
Adding like terms involves combining their coefficients.
True
Combining like terms in subtraction involves subtracting their
coefficients
Match the algebraic component with its definition:
Variables ↔️ Symbols representing unknown values
Constants ↔️ Fixed numerical values
Coefficients ↔️ Numerical factors multiplying variables
When dividing powers with the same base, you subtract the
exponents
Simplify the algebraic expression: `2x + 3y + 4 + 5x - y + 2`
7x + 2y + 6
Simplify the algebraic expression: `2x + 3y + 4 + 5x - y + 2`
7x + 2y + 6
Multiply the algebraic expression: `2x * (3x + 4)`
6x² + 8x
Evaluate the expression using PEMDAS: `12 ÷ (4 + 2) * 3 - 1`
5
To expand brackets, you multiply each term inside by the
factor
outside.
True
Factorize the algebraic expression: `4x + 12`
4(x + 3)
In the algebraic expression `3x + 5`, the number `3` is a coefficient.
True
In the expression `5x + 3y - 2`, the constant is
`-2`
.
True
Match the exponent notation with its definition:
Base ↔️ The number being multiplied
Exponent ↔️ Indicates how many times to multiply the base
What are like terms in algebraic expressions?
Terms with same variable and exponent
Combining like terms in addition involves adding their coefficients.
True
What arithmetic operations are used in algebraic expressions?
Addition, subtraction, multiplication, division
When multiplying powers with the same base, you add the
exponents
.
True
When subtracting like terms, you subtract their
coefficients
Adding like terms involves combining their
coefficients
When dividing algebraic expressions with the same base, you subtract their
exponents
Steps in the order of operations (PEMDAS)
1️⃣ Parentheses/Brackets
2️⃣ Exponents/Orders
3️⃣ Multiplication and Division
4️⃣ Addition and Subtraction
The order of operations is often remembered by the acronym
PEMDAS
What is the first operation performed in the expression `(3 + 2) * 4` according to PEMDAS?
Addition within parentheses
Expanding brackets involves applying the
distributive
law.
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