Unit 2: Flashcard #2 - 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 by performing an inverse operation twice.

Front

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

Back

To isolate a variable, perform inverse operations in the reverse order of operations. First, eliminate any constant added or subtracted from the variable, then eliminate any coefficient multiplied or divided with the variable.

Front

Solve the equation: -2t - 7 = 3

Back

t = -5

Front

Solve the equation: x/7 - 2 = 8

Back

x = 70

Front

Solve the equation: 2x + 10 = 16

Back

x = 3

Front

Back

x = 42

Front

Solve the equation: 4x + 7 = -21

Back

x = -7

Front

What is the first step to solve the equation 2x + 10 = 16?

Back

Subtract 10 from both sides to isolate the term with the variable.

Front

What does it mean to perform an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation. For example, addition and subtraction are inverse operations, as are multiplication and division.

Front

What is the solution to the equation 3x - 9 = 0?

Back

x = 3