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

Front

What is the first step to solve the equation \( \frac{x}{3} - 7 = 19 \)?

Back

Add 7 to both sides of the equation to eliminate the constant term.

Front

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

Back

Multiply both sides by 4, then subtract 23 from both sides to find \( x = 9 \).

Front

How do you solve \( \frac{1}{4}x + 12 = -9 \)?

Back

Subtract 12 from both sides, then multiply by 4 to isolate x, resulting in \( x = -84 \).

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 can add the variable to both sides.

Front

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

Back

Add x to both sides and subtract 10 from both sides to find \( x = 28 \).

Front

How do you solve \( \frac{x-17}{5} = 5 \)?

Back

Multiply both sides by 5, then add 17 to both sides to find \( x = 25 \).

Front

What is the importance of checking your solution in a two-step equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.