Solving Two-Step Equations (with fractions) Extra #1

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. Typically, it involves isolating the variable by performing an inverse operation twice.

Front

How do you solve a two-step equation with fractions?

Back

To solve a two-step equation with fractions, first eliminate the fraction by multiplying both sides of the equation by the denominator. Then, isolate the variable by performing inverse operations.

Front

What is the first step in solving the equation 1/2x + 3 = 9?

Back

The first step is to subtract 3 from both sides of the equation to isolate the term with the variable.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo the operations applied to the variable, allowing us to isolate the variable and find its value.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

How do you check your solution after solving a two-step equation?

Back

To check your solution, substitute the value of the variable back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 3x - 6 = 12?

Back

The solution is x = 6.

Front

What is the significance of the solution in a two-step equation?

Back

The solution represents the value of the variable that makes the equation true.

Front

How can you handle negative numbers when solving two-step equations?

Back

When dealing with negative numbers, apply the same rules of inverse operations, ensuring to maintain the signs correctly throughout the process.

Front

What is the result of solving the equation 2/3x = 12?

Back

The result is x = 18.