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 solve, often involving operations like addition, subtraction, multiplication, and division.

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.

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

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

Back

The first step is to distribute the 2 into the parentheses, resulting in 3x + 8x - 8 = 3.

Front

What is the solution to the equation 4x + 10 = -26?

Back

The solution is x = -9.

Front

How do you check if your solution to an equation is correct?

Back

You substitute the solution back into the original equation to see if both sides are equal.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations applied to the variable, helping to isolate it.

Front

What does it mean to have a negative coefficient in an equation?

Back

A negative coefficient indicates that the variable is being multiplied by a negative number, affecting the direction of the equation's solution.

Front

How do you solve the equation 5x - 4 + 2x = 3?

Back

Combine like terms to get 7x - 4 = 3, then isolate x to find x = 1.

Front

What is the solution to the equation -(n - 8) = -2?

Back

The solution is n = 10.