True or False? In algebra, a term can be a number multiplied by a letter (variable).

True. A term in algebra can be a number multiplied by a letter (variable).

What type of term is a constant ?

A constant is a term that is a number only. There is no letter (variable) part.

Define the word factor in algebra.

A factor in algebra is any number or letter that divides a term exactly (without leaving a remainder).

What is the coefficient of a term?

The coefficient of a term is the number in front of the letter (variable).

What is a common factor of two terms?

A common factor of two terms is a factor that divides both terms (without leaving remainders).

Define the word expression in algebra.

An expression in algebra is a mathematical statement that does not have an equals sign and can include terms that are combined using operations like addition, subtraction, multiplication, and division.

What is an equation in algebra?

An equation in algebra is a mathematical statement with an equals sign between a left-hand side and a right-hand side, indicating that both sides are equal in value.

Define the word formula in algebra.

A formula in algebra is a worded rule, definition, or relationship between different quantities, written in shorthand using letters.

What is an identity in algebra?

An identity in algebra is a mathematical statement with an identity sign (≡) between a left-hand side and a right-hand side, which is true for all values of x .

True or False? An identity can be solved.

False. An identity cannot be solved. It shows that one side is mathematically identical to the other side for all values of x. It is not an equation.

Define what an inequality is in algebra.

An inequality in algebra compares a left-hand side to a right-hand side and states which one is bigger or smaller, using the symbols >, <, ≥, and ≤.

What does substitution mean in algebra?

Substitution in algebra is the process of replacing letters in a formula with their corresponding numerical values (inputs) in order to calculate an output of the formula.

When is it important to put brackets around any numbers you substitute into a formula?

It is important to put brackets around negative numbers when you substitute them into a formula.

Explain what the phrase collecting like terms means in algebra.

Collecting like terms means combining terms in an expression that have exactly the same variables and powers by adding or subtracting their coefficients.

True or False? The term xy is the same as the term yx.

True. The term xy is the same as the term yx as they both represent x multiplied by y . Multiplication can be done in either order.

True or False? You can rearrange a formula first before substituting numbers in.

True. You can rearrange a formula first, before substituting numbers in.

Why is it a good idea to simplify an expression before substituting numbers in?

It is a good idea to simplify an expression before substituting numbers in as this reduces the amount of substitutions you need to do (and the amount of errors you could make).

True or False? When substituting in the number x = -6 you should replace x with (-6), not -6.

True. When substituting in the number x = -6 you should replace x with (-6), not -6. Always substitute negative numbers in brackets.

True or False? When collecting like terms, 2x + 3y is the same as 5xy.

False. The terms 2 x and 5 y are not like terms because their letters (variables) are different. They cannot be combined, so the expression must be left as 2 x + 5 y .

IGCSEMaths A: HigherEdexcelFlashcards

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FrontAlgebraic Notation & Vocabulary
True or False?
In algebra, a term can be a number multiplied by a letter (variable).

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Cards in this collection (21)

True or False?
In algebra, a term can be a number multiplied by a letter (variable).
True.
A term in algebra can be a number multiplied by a letter (variable).
What type of term is a constant?
A constant is a term that is a number only. There is no letter (variable) part.
Define the word factor in algebra.
A factor in algebra is any number or letter that divides a term exactly (without leaving a remainder).
What is the coefficient of a term?
The coefficient of a term is the number in front of the letter (variable).
What is a common factor of two terms?
A common factor of two terms is a factor that divides both terms (without leaving remainders).
Define the word expression in algebra.
An expression in algebra is a mathematical statement that does not have an equals sign and can include terms that are combined using operations like addition, subtraction, multiplication, and division.
What is an equation in algebra?
An equation in algebra is a mathematical statement with an equals sign between a left-hand side and a right-hand side, indicating that both sides are equal in value.
Define the word formula in algebra.
A formula in algebra is a worded rule, definition, or relationship between different quantities, written in shorthand using letters.
What is an identity in algebra?
An identity in algebra is a mathematical statement with an identity sign (≡) between a left-hand side and a right-hand side, which is true for all values of x.
True or False?
An identity can be solved.
False.
An identity cannot be solved. It shows that one side is mathematically identical to the other side for all values of x. It is not an equation.
Define what an inequality is in algebra.
An inequality in algebra compares a left-hand side to a right-hand side and states which one is bigger or smaller, using the symbols >, <, ≥, and ≤.
What does substitution mean in algebra?
Substitution in algebra is the process of replacing letters in a formula with their corresponding numerical values (inputs) in order to calculate an output of the formula.
When is it important to put brackets around any numbers you substitute into a formula?
It is important to put brackets around negative numbers when you substitute them into a formula.
Explain what the phrase collecting like terms means in algebra.
Collecting like terms means combining terms in an expression that have exactly the same variables and powers by adding or subtracting their coefficients.
True or False?
The term xy is the same as the term yx.
True.
The term xy is the same as the term yx as they both represent x multiplied by y. Multiplication can be done in either order.
True or False?
You can rearrange a formula first before substituting numbers in.
True.
You can rearrange a formula first, before substituting numbers in.
Why is it a good idea to simplify an expression before substituting numbers in?
It is a good idea to simplify an expression before substituting numbers in as this reduces the amount of substitutions you need to do (and the amount of errors you could make).
True or False?
When substituting in the number x = -6 you should replace x with (-6), not -6.
True.
When substituting in the number x = -6 you should replace x with (-6), not -6. Always substitute negative numbers in brackets.
True or False?
When collecting like terms, 2x + 3y is the same as 5xy.
False.
The terms 2x and 5y are not like terms because their letters (variables) are different. They cannot be combined, so the expression must be left as 2x + 5y.
True or False?
There are no like terms in the expression $2 x^{2} - 2 x + 2$ .
True.
There are no like terms in the expression $2 x^{2} - 2 x + 2$ . This cannot be simplified any further.
True or False?
Substituting $y = 2$ into $- 3 y^{2}$ will give ${(- 6)}^{2}$ which is 36.
False.
You do not multiply $- 3$ by $y$ first. You need to do the power $y^{2}$ first (from BIDMAS).
This gives $- 3 \times 2^{2}$ which simplifies to $- 3 \times 4$ which is $- 12$ .

1. Numbers & the Number System

2. Equations, Formulae & Identities

3. Sequences, Functions & Graphs

4. Geometry & Trigonometry

5. Vectors & Transformation Geometry

6. Statistics & Probability