Simplifying Expressions

Front

What is simplifying expressions?

Back

Simplifying expressions involves reducing a mathematical expression to its simplest form by combining like terms and performing operations.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

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

Back

5x + 15

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parentheses.

Front

Simplify the expression: 7 + 3(1 - 2x)

Back

10 - 6x

Front

What does it mean to combine like terms?

Back

Combining like terms means adding or subtracting coefficients of terms that have the same variable.

Front

Simplify the expression: 6 + 2(7x - 3)

Back

14x

Front

What is the first step in simplifying an expression?

Back

The first step is to apply the distributive property if there are parentheses in the expression.

Front

Simplify the expression: 3x + 4 + 5x + 3

Back

8x + 7

Front

What is the result of subtracting a negative number?

Back

Subtracting a negative number is the same as adding its positive counterpart.