Solving Two-Step Equations with Integers

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 inverse operations in the reverse order of operations used in the equation.

Front

What is the first step to solve the equation \( \frac{x}{2} - 12 = -14 \)?

Back

Add 12 to both sides of the equation to eliminate the constant term.

Front

What is the solution to the equation \( 13 - 4x = -11 \)?

Back

The solution is \( x = 6 \). First, subtract 13 from both sides, then divide by -4.

Front

How do you check if your solution to a two-step equation is correct?

Back

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

Front

What is the solution to the equation \( 8x + 16 = 8 \)?

Back

The solution is \( x = -1 \). First, subtract 16 from both sides, then divide by 8.

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 second step to solve the equation \( 7x + 9 = 58 \)?

Back

Subtract 9 from both sides to isolate the term with the variable.

Front

What is the solution to the equation \( \frac{x}{4} + 24 = 21 \)?

Back

The solution is \( x = -12 \). First, subtract 24 from both sides, then multiply by 4.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance ensures that both sides of the equation remain equal after performing operations.