Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables (like x or y), and operations (like addition, subtraction, multiplication, and division).

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors, which are expressions that can be multiplied together to get the original expression.

Front

Factor the expression: 4x + 10

Back

2(2x + 5)

Front

Factor the expression: 12x - 20

Back

4(3x - 5)

Front

Factor the expression: 12x + 9

Back

3(4x + 3)

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

Evaluate the expression: 6a + 2(c - b) when a = 2, b = 1, c = 9

Back

28

Front

What is a variable in algebra?

Back

A variable is a symbol (usually a letter) that represents an unknown value in an expression or equation.

Front

What is a coefficient?

Back

A coefficient is a number that is multiplied by a variable in an algebraic expression.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and performing operations.