Solving Two Step Equations with Rational Numbers

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 in solving the equation -4(1 + 3x) = 68?

Back

Distribute -4 to both terms inside the parentheses: -4 - 12x = 68.

Front

What is the solution to the equation 3(2x + 5) = 39?

Back

x = 4.

Front

What does it mean to 'distribute' in algebra?

Back

To distribute means to multiply a term by each term inside parentheses.

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 check if your solution to an equation is correct?

Back

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

Front

What is the solution to the equation -54 = -4n + 2?

Back

n = 14.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction or ratio of two integers.