Two-Step Equations Review

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 isolate a variable in a two-step equation?

Back

To isolate a variable in a two-step equation, you perform inverse operations in the reverse order of operations: first, eliminate any constant added or subtracted from the variable, and then eliminate any coefficient multiplied or divided by the variable.

Front

What is the first step to solve the equation 54 = (7/5)x + 5?

Back

The first step is to subtract 5 from both sides of the equation to isolate the term containing the variable: 54 - 5 = (7/5)x.

Front

What is the solution to the equation 63 = 7 + 28y?

Back

The solution is y = 2. First, subtract 7 from both sides to get 56 = 28y, then divide both sides by 28.

Front

How do you solve the equation 5x + 8 = 43?

Back

First, subtract 8 from both sides to get 5x = 35, then divide both sides by 5 to find x = 7.

Front

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

Back

A negative coefficient indicates that the variable is being multiplied by a negative number, which will affect the sign of the solution when isolating the variable.

Front

How do you solve the equation -1 = (x + 5)/6?

Back

Multiply both sides by 6 to eliminate the fraction: -6 = x + 5. Then, subtract 5 from both sides to find x = -11.

Front

What is the solution to the equation x/-5 + 6 = 3?

Back

First, subtract 6 from both sides to get x/-5 = -3. Then, multiply both sides by -5 to find x = 15.

Front

What is the importance of checking your solution in a two-step equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming that no errors were made during the solving process.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.