Solving Equations and Word Problems

The video tutorial by Mr. Woolley covers various mathematical problems, including word problems involving poster and light placement, calculating ages of siblings, and solving cost-related equations. It also includes checking solutions for given equations and solving a number puzzle. The video emphasizes building equations from word problems and verifying solutions.

If a wall is 14 feet wide and each poster is 4 feet wide, what is the distance between the posters if the gaps on either side are equal?

• 1 foot

• 2 feet

• 4 feet

• 3 feet

When converting 10 and 2/3 feet to inches, what is the total length in inches?

• 140 inches

• 130 inches

• 128 inches

• 120 inches

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

• 15

• 13

• 16

• 14

Sophia pays a membership fee and buys two songs. If each song costs 99 cents, what is the total cost?

• $21.97

• $20.97

• $22.97

• $23.97

Sophia's friend has $118. How many songs can she buy if each song costs 99 cents and she also pays a $19.99 membership fee?

• 98 songs

• 101 songs

• 100 songs

• 99 songs

For the equation 4n - 3 = -2n + 9, is n = 2 a solution?

• Yes

• Only if n is positive

• No

• Only if n is negative

In the equation 3(y + 8) = 2y - 6, if y = 30, are both sides equal?

• Only if y is more than 30

• Only if y is less than 30

• No

• Yes

What is the mystery number if half of it minus 4 equals 5?

• 24

• 18

• 22

• 20

If the sum of three consecutive integers is 36, what is the smallest integer?

• 10

• 11

• 12

• 13

In the equation 5 + (-8)n = 3, is n = -3 a solution?

• Yes

• No

• Only if n is positive

• Only if n is zero