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

What is the first step in solving the equation x - 62 = 123?

Back

Add 62 to both sides of the equation.

Front

How do you isolate the variable in the equation -5t + 9 = 24?

Back

Subtract 9 from both sides and then divide by -5.

Front

What is the solution to the equation 3c + 5 = 23?

Back

c = 6.

Front

How do you write an equation for a word problem involving students on buses?

Back

Identify the total number of students and express the situation with a variable, e.g., 331 = 6x + 7.

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 operation would you perform first to solve the equation 2x + 4 = 12?

Back

Subtract 4 from both sides.

Front

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

Back

Showing your work helps to track your steps, identify errors, and understand the process of solving the equation.

Front

What is the solution to the equation 4x - 8 = 0?

Back

x = 2.

Front

How can you check your solution for the equation x + 5 = 10?

Back

Substitute the value of x back into the original equation to see if both sides are equal.