Distribute and combine

Front

What does it mean to simplify an expression in algebra?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form, making it easier to work with.

Front

What are like terms in algebra?

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

How do you distribute a term across a parenthesis?

Back

To distribute a term across a parenthesis, multiply the term by each term inside the parenthesis.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute the multiplication over addition.

Front

What is the first step in solving the equation 2a - 4a + 20 = 10?

Back

The first step is to combine like terms, which involves subtracting 4a from 2a.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

The solution is x = 5.

Front

What is the result of simplifying the expression 5(2 - 7n)?

Back

The result is 10 - 35n.

Front

What is the purpose of combining like terms?

Back

Combining like terms simplifies expressions and makes it easier to solve equations.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.