Solving Equations Involving Fractions and Decimals

This video tutorial explains how to solve equations involving fractions and decimals. It covers two main steps: moving variables to one side and solving for the variable using inverse operations. The tutorial includes three examples, demonstrating the process with both decimals and fractions, and provides detailed side notes to clarify operations like subtraction and division of decimals, as well as addition and multiplication of fractions. The video concludes with a summary and an invitation for further help if needed.

What are the two main steps in solving equations with fractions and decimals?

• Get variables on one side and use inverse operations

• Divide both sides by the same number and subtract constants

• Multiply both sides by the same number and add constants

• Add fractions and decimals directly

In the first example, what is the result of subtracting 3.25x from 4x?

• 0.75x

• 3.75x

• 2.75x

• 1.75x

What is the value of x in the equation 0.75x = -3?

• -4

• -3

• 4

• 3

Why do we move the decimal point when dividing 3 by 0.75?

• To avoid negative numbers

• To simplify the equation

• To make the divisor a whole number

• To make the dividend a whole number

In the second example, what is the result of adding 3n and 1/2n?

• 5/2n

• 7/2n

• 4n

• 3.5n

What is the reciprocal of 7/2?

• 1/2

• 1/7

• 7/2

• 2/7

What is the value of n in the equation -14 = 7/2n?

• -4

• 4

• -2

• 2

In the third example, what is the result of subtracting 2y from 6y?

• 6y

• 4y

• 2y

• 8y

What is the value of y in the equation 4y = -1?

• 4

• 1/4

• -1/4

• -4

What should you do if you need more help with solving equations with fractions and decimals?

• Skip the question

• Guess the answer

• Ignore the problem

• Ask the teacher for assistance