Solve 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 addition or subtraction followed by multiplication or division.

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 divide or multiply to solve for the variable.

Front

Solve the equation: 0.4x + 13 = 3

Back

x = -25

Front

What is the first step to solve the equation: -1.5x - 14 = -20?

Back

Add 14 to both sides of the equation to eliminate the constant term.

Front

Solve the equation: -1.5x - 14 = -20

Back

x = 4

Front

What does it mean to 'balance' an equation?

Back

Balancing an equation means ensuring that both sides of the equation remain equal after performing operations. Whatever you do to one side, you must do to the other.

Front

What is the inverse operation of addition?

Back

Subtraction is the inverse operation of addition.

Front

What is the inverse operation of multiplication?

Back

Division is the inverse operation of multiplication.

Front

Why is it important to perform the same operation on both sides of an equation?

Back

Performing the same operation on both sides maintains the equality of the equation, allowing you to solve for the variable correctly.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, such as numbers like 13 or -20 in the equations.