Solving Two-Step Equations with Integers

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 reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

Solve the equation: 7x + 9 = 58

Back

x = 7

Front

Solve the equation: \frac{x}{4} + 24 = 21

Back

x = -12

Front

Solve the equation: -8x - 15 = 25

Back

x = -5

Front

Solve the equation: 8 + 2x = -4

Back

x = -6

Front

Solve the equation: 13 - 4x = -11

Back

x = 6

Front

What is the first step to solve the equation 5x - 3 = 12?

Back

Add 3 to both sides to isolate the term with the variable.

Front

What does it mean to perform the inverse operation?

Back

An inverse operation reverses the effect of the original operation, such as addition and subtraction or multiplication and division.

Front

If you have the equation 2x + 5 = 15, what is the value of x?

Back

x = 5