2 Step Equations with Fractions and Decimals (Extra 2)

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 undo addition or subtraction, then undo multiplication or division.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

The first step is to subtract 3 from both sides of the equation.

Front

What is the solution to the equation 3x - 4 = 5?

Back

The solution is x = 3.

Front

How do you solve an equation with fractions?

Back

To solve an equation with fractions, you can multiply both sides by the least common denominator (LCD) to eliminate the fractions.

Front

What is the least common denominator (LCD) of 1/2 and 1/3?

Back

The least common denominator of 1/2 and 1/3 is 6.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal over 1, multiply the numerator and denominator by 10 for each digit after the decimal point, and simplify.

Front

What is the decimal equivalent of 3/4?

Back

The decimal equivalent of 3/4 is 0.75.

Front

What is the solution to the equation (1-k)/5 = 5?

Back

The solution is k = -24.

Front

How do you check your solution for a two-step equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.