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.

Front

Solve for x: x - 4 = 12

Back

x = 16

Front

What is the first step to solve the equation 3c + 5 = 23?

Back

Subtract 5 from both sides to isolate the term with the variable.

Front

Solve for c: 3c + 5 = 23

Back

c = 6

Front

Write an equation for the following scenario: 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

Back

331 = 6x + 7

Front

Solve for x: -4x + 1 = 21

Back

x = -5

Front

What is the second step to solve the equation 5 + 4x = 25?

Back

Subtract 5 from both sides, then divide by 4.

Front

Solve for x: 5 + 4x = 25

Back

x = 5

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

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, helping to isolate it.