Solving Two-Step Equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in the reverse order of how they are applied.

Front

What is the first step to solve the equation 11b + 7 = 40?

Back

Subtract 7 from both sides to get 11b = 33.

Front

What is the second step to solve the equation 11b = 33?

Back

Divide both sides by 11 to find b = 3.

Front

What does it mean to 'add 6 to both sides' in an equation?

Back

It means to increase both sides of the equation by 6 to maintain equality.

Front

What is the solution to the equation 3c + 5 = 23?

Back

c = 6.

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 is the first step to solve the equation 13 = 5m - 2?

Back

Add 2 to both sides to get 15 = 5m.

Front

What is the final step to solve for m in the equation 15 = 5m?

Back

Divide both sides by 5 to find m = 3.

Front

What does 'subtract 6 from both sides' do in an equation?

Back

It decreases both sides of the equation by 6, helping to isolate the variable.