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. It typically involves isolating the variable on one side of the equation.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable in a two-step equation, you perform the inverse operations in the reverse order of how they are applied. First, eliminate any constant added or subtracted from the variable, then eliminate any coefficient multiplied or divided by the variable.

Front

What is the first step to solve the equation \( \frac{b}{2} + 3.9 = 13.15 \)?

Back

The first step is to subtract 3.9 from both sides of the equation to isolate the term with the variable.

Front

What is the solution to the equation \( -3\frac{3}{10}n + 1 = -\frac{13}{20} \)?

Back

The solution is n = 0.5.

Front

How do you handle fractions in two-step equations?

Back

To handle fractions in two-step equations, you can either multiply through by the least common denominator to eliminate the fractions or work with the fractions directly by performing the necessary operations.

Front

What is the solution to the equation \( 3.964 = -3.936 + \frac{p}{2} \)?

Back

The solution is p = 15.8.

Front

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

Back

The coefficient is the number multiplied by the variable. It affects the value of the variable and must be considered when isolating the variable.

Front

How do you check your solution for 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 \( 27.54 = -8.1(x + 4.5) \)?

Back

The solution is x = -7.9.

Front

What does it mean to perform inverse operations?

Back

Performing inverse operations means using operations that reverse the effect of the original operation, such as addition and subtraction or multiplication and division.