Solving one variable two step equations with rational numbers

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. Typically, it involves isolating the variable by performing an inverse operation twice.

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 how they are applied. First, eliminate the constant term, then divide or multiply to solve for the variable.

Front

What is the first step in solving the equation -2x + 8/5 = -1/5?

Back

The first step is to eliminate the constant term (8/5) by subtracting it from both sides of the equation.

Front

What is the solution to the equation -2x + 8/5 = -1/5?

Back

The solution is x = 9/10.

Front

How do you solve the equation n/2 + 1 = 5/3?

Back

First, subtract 1 from both sides, then multiply both sides by 2 to isolate n.

Front

What is the solution to the equation n/2 + 1 = 5/3?

Back

The solution is n = 1 1/3.

Front

What does it mean to have rational numbers in an equation?

Back

Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. They can be whole numbers, fractions, or decimals.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 1, then multiply the numerator and denominator by 10 for each digit after the decimal point.

Front

What is the first step in solving the equation 1.25m + 7 = 2.5?

Back

The first step is to subtract 7 from both sides of the equation.

Front

What is the solution to the equation 1.25m + 7 = 2.5?

Back

The solution is m = -3.6.