Algebra Basics
What is algebra?
A branch of maths using letters (variables) to represent numbers
What is a coefficient?
The number in front of a variable
Write: “5 more than x”
x + 5
Is multiplication commutative?
Yes
What does 32 mean?
3 x 3
Where is algebra used in real life?
Budgeting, engineering, coding, construction, shopping discounts
What is an expression?
A math phrase with no equals sign
Write: “twice a number”
2x
Is division commutative?
No
What is x1?
x
What is a variable?
A letter or symbol that represents a number
What is an equation?
A math statement with an equals sign
Write: “a number divided by 4”
x ÷ 4 or x/4
Simplify: 3x + 5x
8x
What is x0?
1
What is a constant?
A fixed value, typically a number, that does not change, regardless of any variables present in an expression or equation
What is an exponent?
A number showing how many times to multiply
Write: “7 less than 3 times a number”
3x − 7
Simplify: 12x ÷ 3
4x
Simplify y3 / y2
y
What is a term?
A single part of an expression (e.g. 3x, 5, -2y)
What is an operator? Give an example.
A symbol showing an operation (+, −, ×, ÷)
Write a word sentence for: 4x + 6
Four times a number plus six
Simplify: 2 × 3x × 4
24x
Simplify: (3y2)4
81y8