Solve Multi-step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation. This may involve adding, subtracting, multiplying, or dividing both sides of the equation.

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 set of parentheses.

Front

Solve for x: 2x + 3 = 11

Back

x = 4

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve for x: 3(x - 2) = 12

Back

x = 6

Front

What is the first step in solving a multi-step equation?

Back

The first step is often to simplify both sides of the equation, which may include distributing and combining like terms.

Front

Solve for x: 5x - 7 = 3x + 9

Back

x = 8

Front

What is an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation. For example, addition and subtraction are inverse operations.

Front

Solve for x: 4(x + 1) = 20

Back

x = 4