SOLVING MULTISTEP EQUATIONS

Front

What is a multistep equation?

Back

A multistep 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 solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 0.5(2x-6)=0.2(4x-10)?

Back

The first step is to distribute the constants 0.5 and 0.2 to the terms inside the parentheses.

Front

What is the solution to the equation 0.5(2x-6)=0.2(4x-10)?

Back

The solution is x = 5.

Front

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

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that makes the equation true.

Front

What is the solution to the equation 0.2(2x + 3) = -0.6(x + 9)?

Back

The solution is x = -6.

Front

What is the significance of coefficients in an equation?

Back

Coefficients are the numbers in front of variables that indicate how many times to multiply the variable.

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions if any value for the variable satisfies the equation.