Proportional Relationships and Word Problems

The video covers lessons 5.3 and 5.4 on writing and solving proportions. It introduces properties of proportional relationships and various strategies for solving proportions, including mental math, multiplication, and cross products. The video also demonstrates how to write proportions from word problems and apply them to real-world scenarios. Additionally, it explores using ratio tables, tape diagrams, and unit rates to solve problems. The video concludes with practice problems and solutions to reinforce the concepts learned.

What is a key property of proportional relationships?

• The sum of the quantities is always constant.

• The difference between the quantities is always zero.

• One quantity is always greater than the other.

• One quantity is a multiple of the other.

How do you express 75% as a fraction?

• 7/10

• 1/2

• 3/4

• 5/8

Which method can be used to solve a proportion when there is no simple multiplication relationship?

• Division

• Subtraction

• Cross products

• Addition

In a word problem, what should you ensure when setting up proportions?

• Ignore the units completely.

• Always use decimals instead of fractions.

• Keep the same labels lined up in the proportion.

• Use different units for each quantity.

What is the unit rate if 2 pounds of cheese cost $16?

• $10 per pound

• $12 per pound

• $8 per pound

• $6 per pound

If 3 pairs of socks cost $5, how much will 12 pairs cost?

• $15

• $20

• $25

• $30

How many cups of ginger ale are needed if a punch recipe calls for 5 parts ginger ale to 2 parts orange juice, and you need 28 cups total?

• 18 cups

• 10 cups

• 20 cups

• 15 cups

How many leaves will 30 caterpillars eat if 2 caterpillars eat 5 leaves?

• 90 leaves

• 75 leaves

• 60 leaves

• 50 leaves

How many cups of chocolate chips are needed if a recipe calls for 3 cups of chocolate chips and 2 cups of peanut butter, and you use 9 cups of peanut butter?

• 18 cups

• 15 cups

• 13.5 cups

• 12 cups

To make 20 cups of perfect purple paint, how many cups of blue paint are needed if the mix is 2 cups blue to 3 cups red?

• 12 cups

• 6 cups

• 8 cups

• 10 cups