Solving Two Step Equations with Fractions

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 the reverse order of how they are applied.

Front

What is the first step to solve the equation x/4 + 11 = 20?

Back

Subtract 11 from both sides of the equation.

Front

What is the second step to solve the equation x/4 + 11 = 20 after isolating x/4?

Back

Multiply both sides by 4 to solve for x.

Front

What does it mean to multiply both sides of an equation by a number?

Back

It means to perform the same multiplication operation on both sides to maintain equality.

Front

Solve: x/7 - 2 = 8. What is the first step?

Back

Add 2 to both sides of the equation.

Front

What is the solution to the equation x/7 - 2 = 8?

Back

x = 70.

Front

What is the purpose of using fractions in equations?

Back

Fractions allow for more precise representation of quantities and relationships in equations.

Front

How do you handle fractions when solving equations?

Back

You can multiply both sides by the denominator to eliminate the fraction.

Front

Solve: x/4 + 2 = 42. What is the first step?

Back

Subtract 2 from both sides of the equation.