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. It typically involves isolating the variable on one side of the equation.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable in a two-step equation, perform the inverse operations in the reverse order of operations. First, eliminate any addition or subtraction, then eliminate any multiplication or division.

Front

What is the first step to solve the equation 0.45 = (−3.4 + v) / 2?

Back

The first step is to multiply both sides of the equation by 2 to eliminate the fraction.

Front

What is the solution to the equation 1 2/3(5 2/5 + x) = 13/2?

Back

The solution is x = -3/2 or -1.5.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

What is the process to solve the equation -1.26 = (b / 12.1) - 1.3?

Back

First, add 1.3 to both sides, then multiply both sides by 12.1 to solve for b.

Front

What is the value of k in the equation 4.64 + (k / 2.3) = 8.64?

Back

The value of k is 9.2.

Front

How do you solve for x in the equation 12.6(x + 5.4) = -413.28?

Back

First, divide both sides by 12.6, then subtract 5.4 from both sides to isolate x.

Front

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

Back

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

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.