Solving Two-Step Equations with Fractional Coefficients

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.

Front

What is the first step to solve the equation: 1/2x + 3 = 7?

Back

Subtract 3 from both sides to get 1/2x = 4.

Front

What is the second step to solve the equation: 1/2x = 4?

Back

Multiply both sides by 2 to get x = 8.

Front

What does it mean to have a fractional coefficient in an equation?

Back

A fractional coefficient means the variable is multiplied by a fraction, which can complicate solving the equation.

Front

How do you solve the equation: 1/6y - 2 = 4?

Back

Add 2 to both sides to get 1/6y = 6, then multiply both sides by 6 to find y = 36.

Front

What is the solution to the equation: 1/5a - 4 = 2?

Back

Add 4 to both sides to get 1/5a = 6, then multiply both sides by 5 to find a = 30.

Front

How do you solve the equation: 3/7y - 2 = 5?

Back

Add 2 to both sides to get 3/7y = 7, then multiply both sides by 7/3 to find y = 49/3.

Front

What is the first step to solve the equation: 2/5a - 3 = 1?

Back

Add 3 to both sides to get 2/5a = 4.

Front

What is the second step to solve the equation: 2/5a = 4?

Back

Multiply both sides by 5/2 to find a = 10.