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 reverse order: first eliminate the constant term, then the coefficient of the variable.

Front

What is the first step to solve the equation \( \frac{1}{4}x + 12 = -9 \)?

Back

Subtract 12 from both sides to isolate the term with the variable.

Front

What is the solution to the equation \( 2x + 11 = 23 \)?

Back

The solution is \( x = 6 \). First, subtract 11 from both sides, then divide by 2.

Front

How do you check the solution of a two-step equation?

Back

Substitute the solution back into the original equation to verify that both sides are equal.

Front

What is the solution to the equation \( 4x - 16 = 48 \)?

Back

The solution is \( x = 16 \). Add 16 to both sides, then divide by 4.

Front

What does it mean to have a negative coefficient in an equation, such as in \( -x + 10 = -18 \)?

Back

A negative coefficient indicates that the variable is being subtracted; to solve, you would add the constant to both sides.

Front

What is the solution to the equation \( -x + 10 = -18 \)?

Back

The solution is \( x = 28 \). First, subtract 10 from both sides, then multiply by -1.

Front

How do you solve the equation \( \frac{x + 23}{4} = 8 \)?

Back

Multiply both sides by 4 to eliminate the fraction, then subtract 23 to isolate x.

Front

What is the solution to the equation \( \frac{x + 23}{4} = 8 \)?

Back

The solution is \( x = 9 \). After multiplying by 4 and subtracting 23, you find x.