Algebra is a branch of mathematics that uses letters to represent numbers and solve problems.
The letters are called variables, because the numbers that the letters represent can vary.
The letters x and y are often used in algebra problems.
Common algebraic language includes linear expressions, linear equations, polynomial expressions, and polynomial equations.
In the algebraic equation y = 5x + 7
• x is a variable
• y is a variable
• 7 is a constant (does not change)
• 5 is a coefficient (a multiplier that does not change)
An algebraic statement that performs functions of addition, subtraction, multiplication, and division. Exponents and roots are not allowed.
x + y + 3
A linear expression with an = sign.
y = x + 3
An algebraic statement that performs functions of addition, subtraction, multiplication, and division. Exponents and roots are allowed.
x² + y + 3
A polynomial expression with an = sign.
y = x² + 3
Algebraic Word Problem
An algebraic problem requiring translation of Everyday Language into Math Action.
The total cost T of renting a car is $35.00 times the number of days d the car is rented plus a one-time charge of $25.00.
Translation → T = 35d + 25