two-step equations with distributive property and like terms

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply a term by each term inside the parentheses.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same.

Front

What is a constant in an expression?

Back

A constant is a fixed value that does not change, represented by a number without a variable.

Front

Solve for x: 2x + 3 = 11

Back

x = 4

Front

Solve for b: 4b - 2 = 10

Back

b = 3

Front

What is the first step to solve 3(x + 4) = 21?

Back

The first step is to apply the distributive property: 3x + 12 = 21.

Front

Solve for x: 5(x - 2) = 15

Back

x = 5

Front

What does it mean to isolate the variable?

Back

Isolating the variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.