Solving 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 isolate the variable and solve for its value.

Front

What is the first step in solving the equation -2x - 6 = 3x + 4?

Back

The first step is to combine like terms by adding 2x to both sides of the equation.

Front

How do you isolate the variable in the equation 3(x - 1) = 2x + 9?

Back

Distribute the 3 on the left side, then move all terms involving x to one side and constant terms to the other side.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the solution to the equation 3(3x - 6) = 18?

Back

The solution is x = 4.

Front

What is the importance of checking your solution after solving an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

Front

How do you solve the equation 2(x + 2) = -x - 17 - 4x?

Back

First, distribute the 2, then combine like terms and isolate x.

Front

What is the value of x in the equation 10 = 4x - 2?

Back

The value of x is 3.

Front

What is the process of solving a linear equation?

Back

The process involves isolating the variable on one side of the equation through a series of algebraic operations.

Front

What does it mean to distribute in an equation?

Back

Distributing means to multiply a term by each term inside parentheses.