Word Problems and Angle Relationships

This video tutorial covers solving equations involving addition and subtraction. It begins with an introduction to the concepts and progresses through various examples, including real-world problems and geometric applications. The tutorial uses algebra tiles to visually demonstrate the process of isolating variables and balancing equations. Key properties such as the subtraction and addition properties of equality are explained. The video concludes with practice problems and a preview of the next lesson on multiplication and division equations.

What is the first step in solving the equation 6 + x = 14 using algebra tiles?

• Remove x tiles from both sides

• Add x to both sides

• Remove 6 tiles from both sides

• Add 6 to both sides

When using the subtraction property of equality, what must you do to both sides of the equation?

• Multiply by the same number

• Subtract the same number

• Divide by the same number

• Add the same number

If an equation contains subtraction, what operation should you perform to solve it?

• Divide both sides by the same number

• Multiply both sides by the same number

• Add the same number to both sides

• Subtract the same number from both sides

What is the measure of an unknown angle if it is supplementary to a 60-degree angle?

• 90 degrees

• 60 degrees

• 120 degrees

• 180 degrees

How do you determine the complement of a 42-degree angle?

• Add 42 to 90

• Add 42 to 180

• Subtract 42 from 180

• Subtract 42 from 90

In a real-world problem, if x - 100 = 140, what does x represent?

• The amount after subtracting 100

• The amount after adding 100

• The amount before subtracting 100

• The amount before adding 100

If a poster costs $8.95 and the total cost with colored pencils is $21.35, how much do the pencils cost?

• $15.40

• $14.40

• $13.40

• $12.40

What is the total number of woodwind instruments if there are twice as many woodwinds as brass instruments, and the total is 150?

• 75

• 150

• 50

• 100

If a grocery store offers a discount of $1.49 on a $2.99 bag of apples, what is the original price?

• $1.50

• $2.50

• $3.50

• $4.50

What pattern is observed in the sequence where a + 1 = 2, b + 10 = 20, and c + 100 = 200?

• Increasing by 1

• Increasing by 10

• Increasing by 1000

• Increasing by 100