7.5 HW Solving Multi-Step Equations with Fractions and Decimals

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve an equation with fractions?

Back

Solving an equation with fractions involves finding a common denominator or multiplying through by the denominator to eliminate the fractions.

Front

What is the first step in solving the equation 1.2(n + 0.96) = 30.6?

Back

The first step is to distribute 1.2 to both n and 0.96.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation (a - 7.3) / 4.5 = 2.4?

Back

a = 18.1.

Front

What is the process to solve w/2.76 + 13.56 = 29.24?

Back

First, subtract 13.56 from both sides, then multiply both sides by 2.76 to isolate w.

Front

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

Back

A negative solution indicates that the value of the variable is less than zero.

Front

How do you handle decimals in equations?

Back

Align the decimal points and perform operations as you would with whole numbers, ensuring to keep track of the decimal places.

Front

What is the solution to the equation 0.013 - 0.02g = 0.053?

Back

g = -2.