Simplifying Expressions

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify the expression: 4(x + 3) - 5

Back

4x + 7

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.

Front

Simplify the expression: 3(5 + 3x) - 4x

Back

5x + 15

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

Simplify the expression: 5(y + 6) + 4

Back

5y + 34

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.

Front

Simplify the expression: 3(2 + x) + 6x - 4

Back

9x + 2

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

Front

Simplify the expression: x + 2(x + 3)

Back

3x + 6