Solving 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.

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 in the equation.

Front

What is the first step to solve the equation 6 - 3a = 21?

Back

The first step is to subtract 6 from both sides of the equation.

Front

What is the solution to the equation 33 = 4a - 7?

Back

The solution is a = 10.

Front

How do you check if your solution to a two-step equation is correct?

Back

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

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

How do you solve the equation 50 = 28.1 + 0.15a?

Back

First, subtract 28.1 from both sides, then divide by 0.15.

Front

What does it mean to 'combine like terms' in an equation?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the solution to the equation 20 = 2 - a?

Back

The solution is a = -18.