Solving Equations and Word Problems

The video covers understanding equations, solving problems involving geometry and algebra, and calculating costs. It begins with an introduction to equations, followed by exercises on placing posters and lights on walls, finding ages using consecutive integers, and calculating costs for music store purchases. The video emphasizes using variables and equations to solve real-world problems.

What is the primary goal when solving an equation?

• To make the equation more complex

• To add more variables

• To find the value of the variable

• To remove all numbers

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

• 3 feet

• 5 feet

• 4 feet

• 2 feet

How do you convert 10 and 2/3 feet into inches?

• 140 inches

• 130 inches

• 120 inches

• 128 inches

What is the expression for the total length of a wall if the distance between lights and the wall edges is the same?

• 3x + 50

• 2x + 25

• x + 100

• 4x + 75

Which value of Y satisfies the equation 3y + 50 = 128?

• 24

• 25

• 26

• 27

If the sum of three consecutive integers is 45, what is the value of the middle integer?

• 17

• 14

• 15

• 16

How do you represent the ages of three sisters if the youngest is X years old?

• X, X+1, X+2

• X, X+2, X+3

• X, X+4, X+5

• X, X+3, X+4

What is the total cost if Sophia buys a membership for $19.99 and two songs at $0.99 each?

• $23.00

• $20.97

• $22.00

• $21.97

How many songs can Sophia's friend buy if they have $118 and the membership costs $19.99?

• 100

• 102

• 99

• 101

What equation would you use to determine how many songs can be bought with a given budget?

• n = 118

• n + 19.99 = 118

• 0.99n + 19.99 = 118

• 0.99n = 118