Solving Equations and Proportions

Mr. Catlin introduces unit rates and the constant of proportionality, solving various problems involving division to find unit rates. The lesson includes a review of multiplication of fractions and solving story problems using equations and diagrams. The video concludes with finding solutions to equations and completing the first page of homework.

What is the constant of proportionality also known as?

• Price per item

• Price per pound

• Price per kilogram

• Price per dozen

If you pay $3.50 for half a pound, what is the price per pound?

• $10.00

• $7.00

• $5.00

• $3.50

What is the price per pound if you pay $5 for 4 pounds?

• $1.00

• $1.75

• $1.25

• $1.50

How do you simplify the fraction 6/20?

• 2/5

• 1/3

• 3/10

• 1/2

In the family ticket problem, what does 'x' represent?

• The price of a snack

• The total cost

• The price of a ticket

• The number of tickets

What is the initial amount of juice poured for each friend in Diego's problem?

• 2 ounces

• 4 ounces

• 1 ounce

• 3 ounces

What is the solution for x in the equation 6(x + 3) = 24?

• x = 3

• x = 2

• x = 4

• x = 1

What does the solution to an equation tell you about the situation?

• The total cost

• The unknown variable's value

• The number of items

• The price per item

How many groups are there in the equation 6(x + 1) = 24?

• 7 groups

• 6 groups

• 4 groups

• 5 groups

What is the value of x if x + 1 = 4?

• x = 4

• x = 3

• x = 2

• x = 1