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. 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 the inverse operations in reverse order: first, eliminate the constant term by adding or subtracting, then eliminate the coefficient by multiplying or dividing.

Front

Solve for x: 4x + 7 = 23

Back

x = 4

Front

Solve for a: 3a - 6 = 3

Back

a = 3

Front

What is the first step to solve the equation 3n + 4 = 7?

Back

Subtract 4 from both sides to isolate the term with the variable.

Front

Solve for n: 3n + 4 = 7

Back

n = 1

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

Solve for x: -4x + 1 = 21

Back

x = -5

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo the operations applied to the variable, allowing us to isolate it and find its value.

Front

Back

x = 55