Understanding Ratios and Proportions

What is the ratio of sugar to water in the problem presented by the instructor?

• 5:2

• 2:5

• 3:7

• 7:3

Which of the following is an example of a rate?

• 2:5

• 60 miles per hour

• 3:4

• 1:20

What is the main difference between a ratio and a rate?

• Rates are always larger than ratios

• Ratios compare different units, rates compare the same units

• Ratios compare the same units, rates compare different units

• Ratios are always larger than rates

What does it mean for two fractions to be in proportion?

• They have the same numerator

• They are both improper fractions

• They have the same denominator

• They are equal fractions

If the ratio of sugar to water is 2:5, what is the equivalent ratio when the sugar is increased to 4 parts?

• 5:4

• 2:10

• 4:5

• 4:10

In the common sense approach, how do you find the amount of water needed for 8 parts of sugar?

• Multiply the sugar by 5

• Multiply the sugar by 4

• Divide the sugar by 2

• Add 5 to the sugar

What is the correct amount of water needed for 8 parts of sugar using the common sense approach?

• 25 parts

• 20 parts

• 15 parts

• 10 parts

What is the first step in solving the problem using algebra?

• Set up a proportion

• Add the ratios

• Subtract the ratios

• Multiply the ratios

In the algebraic method, what is the value of x when solving 2/5 = 8/x?

• 25

• 20

• 10

• 15

What mathematical property is used to solve proportions in the algebraic method?

• Division

• Subtraction

• Addition

• Cross product