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: 3/4x + 2 = 5?

Back

Subtract 2 from both sides to isolate the term with the variable.

Front

What is the second step to solve the equation: 3/4x = 3?

Back

Multiply both sides by the reciprocal of 3/4, which is 4/3.

Front

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

Back

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

Front

How do you solve the equation: 3/8x + 1/2 = 7?

Back

First, subtract 1/2 from both sides, then multiply by the reciprocal of 3/8 to solve for x.

Front

What is the solution to the equation: 1/6y - 2 = 4?

Back

Add 2 to both sides, then multiply by 6 to isolate y.

Front

How do you check your solution for an equation?

Back

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

Front

What is the solution to the equation: 2/3y - 5 = 1?

Back

Add 5 to both sides, then multiply by 3/2 to find y.

Front

What is the importance of understanding inverse operations?

Back

Inverse operations are crucial for isolating variables and solving equations correctly.