2-Step Equations

Front

What is a 2-step equation?

Back

A 2-step equation is an algebraic equation that requires two operations to isolate the variable.

Front

How do you solve the equation 14 = 6x - 4?

Back

Add 4 to both sides to get 18 = 6x, then divide both sides by 6 to find x = 3.

Front

What is the first step in solving the equation 5b - 6 = 24?

Back

Add 6 to both sides of the equation.

Front

What is the second step in solving the equation 5b - 6 = 24 after adding 6?

Back

Divide both sides by 5.

Front

How do you solve the equation 3(3x - 6) = 18?

Back

First, distribute 3 to get 9x - 18 = 18, then add 18 to both sides and divide by 9 to find x = 4.

Front

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

Back

Isolating a variable means manipulating the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the solution to the equation 4x - 5 = 11?

Back

Add 5 to both sides to get 4x = 16, then divide by 4 to find x = 4.

Front

What is the general strategy for solving 2-step equations?

Back

The general strategy is to perform inverse operations to isolate the variable, usually starting with addition or subtraction followed by multiplication or division.

Front

What is the solution for a in the equation a + 6 = 0?

Back

Subtract 6 from both sides to find a = -6.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming it is correct.