Exploring 8th Grade Math: Adding and Subtracting Rational Expressions

This video tutorial reviews lessons 7.1 and 7.2, focusing on solving equations with variables on both sides, handling fractions, and dealing with decimals. The instructor provides step-by-step examples and encourages students to practice on their own. The video emphasizes the importance of balancing equations and using common denominators or powers of 10 to simplify problems.

What is the first step in solving equations with variables on both sides?

• Move all variables to one side

• Divide both sides by the coefficient of the variable

• Subtract the numbers from both sides

• Add the variables together

After moving variables to one side in an equation, what should you do next?

• Divide both sides by the variable

• Leave the equation as is

• Move all numbers to the opposite side

• Multiply both sides by the variable

What is the least common multiple (LCM) of 2, 3, and 4?

• 6

• 12

• 24

• 8

When solving equations with fractions, why do we find a common denominator?

• To divide the equation

• To eliminate the fractions

• To make the equation more complex

• To simplify the equation

What is the result of dividing 28 by 3?

• 9.5

• 8.5

• 9

• 9.3 repeating

How do you eliminate decimals in an equation?

• By dividing with a power of 10

• By multiplying with a power of 10

• By subtracting the smallest decimal

• By adding zeros

What is the value of 'w' when 310 is divided by 62?

• 6.2

• 10

• 5

• 4.98

What power of 10 should be used to eliminate two decimal places?

• 1000

• 1

• 100

• 10

What is the value of 'k' when solving the practice problem involving decimals?

• -20

• 20

• 10

• 5

What is the value of 'b' in the practice problem involving decimals with two places after the decimal?

• 7.5

• 6.5

• 8

• 7.2