Two 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 the reverse order of how they are applied.

Front

What is the first step to solve the equation 20 = 2 - a?

Back

The first step is to subtract 2 from both sides to get 18 = -a.

Front

What is the solution to the equation -2y = 20?

Back

The solution is y = -10, found by dividing both sides by -2.

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 does it mean to have a negative solution in an equation?

Back

A negative solution indicates that the variable's value is less than zero, which can have specific interpretations depending on the context.

Front

What is the process to solve the equation -5 = 3m - 14?

Back

Add 14 to both sides to get 9 = 3m, then divide by 3 to find m = 3.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides have the same value.

Front

How do you solve for a in the equation a + 6 = 0?

Back

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

Front

What is the solution to the equation x/4 + 8 = 10?

Back

The solution is x = 8, found by first subtracting 8 from both sides and then multiplying by 4.