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 reverse order: first eliminate the constant term, then the coefficient of the variable.

Front

What is the first step to solve the equation -x + 10 = -18?

Back

Subtract 10 from both sides to isolate the term with the variable.

Front

What is the solution to the equation 2x + 11 = 23?

Back

x = 6, found by first subtracting 11 from both sides and then dividing by 2.

Front

How do you solve the equation -3x - 18 = -63?

Back

Add 18 to both sides, then divide by -3 to find x = 27.

Front

What does it mean to have a fraction in a two-step equation, such as 1/4x + 12 = -9?

Back

It means you need to eliminate the constant first, then multiply both sides by the denominator to solve for x.

Front

What is the solution to the equation 1/4x + 12 = -9?

Back

x = -84, found by first subtracting 12 from both sides and then multiplying by 4.

Front

How do you handle equations with fractions, like (x - 17)/5 = 5?

Back

Multiply both sides by 5 to eliminate the fraction, then solve for x.

Front

What is the solution to the equation (x - 17)/5 = 5?

Back

x = 25, found by multiplying both sides by 5 and then adding 17.

Front

What is the importance of checking your solution in a two-step equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.