Solving Equations with Decimals

This video tutorial covers lesson 7.2, focusing on solving equations with decimals. It compares methods from lesson 7.1 and 7.2, highlighting the additional step of eliminating decimals. The tutorial includes three examples: solving a basic equation with decimals, tackling a more complex equation, and addressing a word problem. It concludes with guidance on creating scenarios from equations.

What is the primary goal of lesson 7.2?

• To solve equations with fractions

• To solve equations with decimals

• To solve linear equations

• To solve quadratic equations

In the first example, why do we multiply the entire equation by 10?

• To make the numbers smaller

• To eliminate the fractions

• To eliminate the decimals

• To convert the equation to a fraction

What is the result of multiplying 3.6w by 10 in the first example?

• 36w

• 3.6w

• 360w

• 0.36w

In the second example, why is the equation multiplied by 100?

• To eliminate the hundredths place decimals

• To convert the equation to a fraction

• To make the equation simpler

• To eliminate the tenths place decimals

What is the value of t in the second example after solving the equation?

• -8

• 8

• -0.8

• 0.8

In the aquarium word problem, what does the variable x represent?

• The weight of the larger aquarium

• The total weight of both aquariums

• The weight of the smaller aquarium

• The weight of one cubic foot of water

What is the final weight of one cubic foot of water in the aquarium problem?

• 12 pounds

• 24 pounds

• 62.4 pounds

• 37.44 pounds

In the music subscription scenario, what does the 0.95x represent?

• The cost per song in the second service

• The cost per song in the first service

• The total cost of the subscription

• The annual fee for the subscription

What additional cost is included in the second music subscription service?

• A per song cost of $0.55

• A per song cost of $0.95

• An annual fee of $30

• An annual fee of $60

Why is it suggested to use money-related scenarios for equations?

• Because they are more complex

• Because they are easier to relate to

• Because they involve decimals

• Because they are more interesting