Writing 2 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

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

What is the first step to solve the equation 2x + 5 = 15?

Back

Subtract 5 from both sides to get 2x = 10.

Front

What is the solution to the equation 3y - 4 = 11?

Back

Add 4 to both sides to get 3y = 15, then divide by 3 to find y = 5.

Front

Write a two-step equation for the statement: 'Five times a number decreased by 3 equals 12.'

Back

5x - 3 = 12.

Front

What does it mean to 'balance' an equation?

Back

Balancing an equation means ensuring that both sides of the equation are equal by performing the same operation on both sides.

Front

If 4x + 8 = 32, what is the value of x?

Back

First, subtract 8 from both sides to get 4x = 24, then divide by 4 to find x = 6.

Front

How can you check if your solution to a two-step equation is correct?

Back

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

Front

What is the equation for the total cost if a rental service charges a flat fee plus a per-hour fee?

Back

Total Cost = Flat Fee + (Per Hour Fee × Number of Hours).

Front

Write a two-step equation for the problem: 'A number increased by 9 equals 15.'

Back

x + 9 = 15.