Solving 2 step Equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to isolate the variable and solve for its value.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

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

Back

Subtract 5 from both sides to get 3c = 18.

Front

What is the second step to solve the equation 3c = 18?

Back

Divide both sides by 3 to find c = 6.

Front

What operation should you perform to solve x - 62 = 123?

Back

Add 62 to both sides to isolate x.

Front

What is the equation for the number of students in each bus if 331 students went on a field trip with 6 buses and 7 students in cars?

Back

The equation is 331 = 6x + 7.

Front

How do you solve the equation -5t + 9 = 24?

Back

Subtract 9 from both sides to get -5t = 15, then divide by -5 to find t = -3.

Front

What is the solution to the equation -3x + 5 = -16?

Back

The solution is x = 7.

Front

What does it mean to perform inverse operations?

Back

Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.

Front

What is the purpose of showing your work when solving equations?

Back

Showing your work helps to track your steps, verify your solution, and understand the process.