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 such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to combine like terms?

Back

Combining like terms involves 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 to both terms inside the parentheses: 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

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

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that make the equation true.

Front

What is the solution set for the equation 2(x + 5) = 2x + 5?

Back

The solution set is 'no solution' because the equation simplifies to a false statement.

Front

What is the process of solving the equation 14p - 8 = 22 + 20p?

Back

First, isolate p by moving all terms involving p to one side and constant terms to the other side.

Front

What is the result of solving the equation 5x - 14 = 8x + 4?

Back

The result is x = -6.