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

What is the first step to solve the equation \( \frac{x-2}{4}=5 \)?

Back

Multiply both sides by 4 to eliminate the fraction.

Front

How do you isolate the variable in the equation \( -5x + 2 = 12 \)?

Back

Subtract 2 from both sides and then divide by -5.

Front

What is the solution to the equation \( -5x + 3 = -24.5 \)?

Back

The solution is \( x = \frac{11}{2} \) or 5.5.

Front

What operation do you perform first when solving \( \frac{x-4}{2} = 8 \)?

Back

Multiply both sides by 2.

Front

How do you solve the equation \( -4 = \frac{j}{2} + 3 \)?

Back

Subtract 3 from both sides and then multiply by 2.

Front

What does it mean to 'show NEAT work' when solving equations?

Back

It means to clearly and systematically write out each step taken to solve the equation.

Front

What is the purpose of using a calculator like DESMOS for solving equations?

Back

To find solutions to equations graphically or numerically.

Front

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

Back

To verify that the solution satisfies the original equation.

Front

What is the general form of a two-step equation?

Back

A two-step equation typically has the form \( ax + b = c \), where a, b, and c are constants.