Solving Equations and Fractions

The video tutorial covers Activity Three, focusing on solving three equations using various methods. The instructor demonstrates step-by-step solutions for each equation, highlighting different techniques such as changing subtraction to addition, using the distributive property, and applying multiplicative inverses. The tutorial encourages exploring alternative methods and emphasizes understanding the underlying mathematical concepts.

What is the first step suggested for solving equations in the video?

• Change subtraction to addition of a negative number

• Multiply both sides by 2

• Use the distributive property

• Divide both sides by 3

How can you simplify the fraction 12 + 6x over 3?

• By dividing the numerator by 2

• By dividing the numerator by 3

• By multiplying the numerator by 3

• By adding 3 to the numerator

What is the purpose of using the multiplicative inverse in solving equations?

• To add fractions

• To simplify the equation

• To eliminate fractions

• To divide the equation

What is an alternative method to solve equations instead of using the distributive property?

• Multiply both sides by 3

• Add 5 to both sides

• Subtract 4 from both sides

• Divide both sides by 2

How do you verify if x = -3 is a solution to the equation?

• By substituting x = -3 into the equation

• By multiplying x by 2

• By adding 3 to x

• By dividing x by 3

What is the result of substituting x = 14 into the equation 6x - 54?

• 10

• 14

• 28

• 18

What is the hidden number in the equation that involves a negative sign?

• Two

• Three

• One

• Zero

How do you solve an equation using the distributive property?

• By multiplying each term inside the parenthesis

• By adding fractions

• By subtracting from both sides

• By dividing each term by 2

What is the final step in verifying a solution to an equation?

• Substituting the solution back into the equation

• Adding the solution to both sides

• Dividing the solution by 3

• Multiplying the solution by 2

What is the simplified form of 16/12?

• 4/3

• 3/4

• 3/2

• 2/3