Multi-step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What does it mean to distribute in an equation?

Back

To multiply a term outside the parentheses by each term inside the parentheses.

Front

What is the first step in solving the equation 5 - 2(x - 7) = x + 1 + 3x?

Back

You cannot perform 5 - 2 as the first step; you should distribute -2 to (x - 7) first.

Front

How do you combine like terms in an equation?

Back

By adding or subtracting coefficients of the same variable.

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

10

Front

How do you simplify the expression -8 + (15 - 3) ÷ 4?

Back

The simplified result is -5.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that will satisfy the equation.

Front

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

Back

No solution.

Front

What is the purpose of isolating the variable in an equation?

Back

To find the value of the variable that makes the equation true.

Front

What is the significance of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.