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 eliminate the constant term, then the coefficient of the variable.

Front

What is the first step to solve the equation 15 = 2a + 7?

Back

Subtract 7 from both sides to get 8 = 2a.

Front

What is the solution to the equation 9 + 3x = 10?

Back

Subtract 9 from both sides to get 3x = 1, then divide by 3 to find x = 1/3.

Front

How do you check the solution of an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 5w + 12 = 47?

Back

Subtract 12 from both sides to get 5w = 35, then divide by 5 to find w = 7.

Front

What does it mean to 'solve for x'?

Back

To 'solve for x' means to find the value of x that makes the equation true.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

How can you represent the solution of an equation graphically?

Back

The solution can be represented as the point where the graph of the equation intersects the x-axis.