Expand and Simplify Expressions

Front

What does it mean to expand an expression in algebra?

Back

Expanding an expression means to multiply out the factors and simplify the expression by combining like terms.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you simplify an expression by combining like terms?

Back

To simplify an expression by combining like terms, group terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is a like term in algebra?

Back

Like terms are terms that have the same variable raised to the same power, such as 3x and 5x.

Front

What is the result of expanding 4(7x + 3)?

Back

The result is 28x + 12.

Front

How do you simplify the expression 3x + 2y - 2x + 3y?

Back

Combine like terms to get x + 5y.

Front

What is the result of expanding -3(2r + 5s)?

Back

The result is -6r - 15s.

Front

What does it mean to simplify an expression?

Back

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

Front

What is the simplified form of 5a + 2b - 3a + 4?

Back

The simplified form is 2a + 2b + 4.

Front

What is the first step in expanding an expression like 5(x + 4)?

Back

The first step is to apply the distributive property: 5 * x + 5 * 4.