Distance, Cost, and Age Problems

The video tutorial covers various mathematical problems, starting with an introduction to equations and expressions. It includes practical problems such as determining distances for poster placement and wall sconce lights, calculating the ages of sisters using consecutive integers, and finding the total cost of music store purchases. Each problem is solved step-by-step, demonstrating the application of algebra and geometry concepts.

What is the main difference between an equation and an expression?

• An equation has an equal sign, while an expression does not.

• An expression has an equal sign, while an equation does not.

• Both have equal signs.

• Neither have equal signs.

If a wall is 14 feet wide and you hang two posters each 4 feet wide, what is the distance between the posters if the spacing is equal?

• 1 foot

• 2 feet

• 4 feet

• 3 feet

How do you convert 25 inches into feet?

• 2 and 1/12 feet

• 1 and 1/12 feet

• 2 and 1/3 feet

• 3 feet

What is the distance between the wall sconce lights if the total wall length is 10 and 2/3 feet?

• 1 and 1/6 feet

• 2 and 1/6 feet

• 3 feet

• 4 feet

If the ages of three sisters are consecutive integers and their total is 45, what is the age of the youngest sister?

• 14

• 13

• 12

• 15

What is the age of the oldest sister if the youngest is 14?

• 16

• 17

• 15

• 18

Sophia pays a membership fee of $19.99 and buys two songs at $0.99 each. What is her total cost?

• $21.97

• $23.97

• $22.97

• $20.97

If Sophia's friend has $118, how many songs can she buy after paying the membership fee?

• 99

• 101

• 98

• 100

What expression represents the total cost if Sophia buys 'n' songs?

• $21.99 + 0.99n

• $20.99 + 0.99n

• $19.99 + 1.99n

• $19.99 + 0.99n

What equation can be used to determine how many songs Sophia's friend can buy with $118?

• $19.99 + 0.99n = 118

• $19.99 + 1.99n = 118

• $20.99 + 0.99n = 118

• $21.99 + 0.99n = 118