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 on 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 w/2.76 + 13.56 = 29.24?

Back

The first step is to subtract 13.56 from both sides of the equation.

Front

How do you handle decimals in equations?

Back

You can handle decimals by either converting them to fractions or multiplying the entire equation by a power of 10 to eliminate the decimals.

Front

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

Back

The solution is g = -2.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you solve the equation 1.2(n + 0.96) = 30.6?

Back

First, distribute 1.2 to both terms in the parentheses, then isolate n.

Front

What is the solution to the equation 3/4(6x + 2) = 15?

Back

The solution is x = 3.

Front

What is the process to solve for m in the equation 3/4(m-4)=9?

Back

Multiply both sides by 4/3 to isolate (m-4), then solve for m.