Two-Step Equations Review

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. Typically, it involves isolating the variable by performing an inverse operation twice.

Front

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

Back

To isolate a variable in a two-step equation, you perform inverse operations in the reverse order of operations: first, eliminate any constant added or subtracted from the variable, and then eliminate any coefficient multiplied or divided with the variable.

Front

What is the first step to solve the equation \( \frac{x+9}{3}=8 \)?

Back

The first step is to eliminate the fraction by multiplying both sides of the equation by 3.

Front

What is the solution to the equation \( \frac{2}{3}x + 4 = -26 \)?

Back

The solution is -45.

Front

What operation would you perform first to solve the equation \( 5x + 8 = 43 \)?

Back

You would first subtract 8 from both sides of the equation.

Front

What is the final step to solve the equation \( \frac{4}{5}y - 8 = 8 \)?

Back

The final step is to multiply both sides by \( \frac{5}{4} \) after adding 8 to both sides.

Front

How do you check your solution for a two-step equation?

Back

To check your solution, substitute the value of the variable back into the original equation to see if both sides are equal.

Front

What is the solution to the equation \( 10 - 6x = -104 \)?

Back

The solution is 19.

Front

What does it mean to perform inverse operations?

Back

Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance in an equation means that whatever operation you perform on one side must also be performed on the other side to keep the equation true.