Understanding Ratios and Related Concepts

What is the definition of equivalent ratios?

• Two ratios A : B and C : D are equivalent if A = C and B = D.

• Two ratios A : B and C : D are equivalent if there is a nonzero number c such that C = c*A and D = c*B.

• Two ratios A : B and C : D are equivalent if A + B = C + D.

• Two ratios A : B and C : D are equivalent if A - B = C - D.

What does a percent represent?

• A fraction with a numerator of 10.

• A fraction with a numerator of 100.

• A fraction with a denominator of 100.

• A fraction with a denominator of 10.

What is a rate?

• A quantity that describes a difference between two quantities.

• A quantity that describes a sum of two quantities.

• A quantity that describes a ratio relationship between two quantities.

• A quantity that describes a product of two quantities.

How is a ratio defined?

• An ordered pair of numbers that are both zero.

• An unordered pair of numbers that are not both zero.

• An ordered pair of numbers that are not both zero.

• An unordered pair of numbers that are both zero.

What is a ratio relationship?

• The set of all ratios that are greater than 1.

• The set of all ratios that are less than 1.

• The set of all ratios that are equivalent ratios.

• The set of all ratios that are different.

What is a unit rate?

• A rate where neither quantity is 1 unit.

• A rate where the first quantity is 1 unit.

• A rate where the second of the two quantities is 1 unit.

• A rate where both quantities are 1 unit.

How is the value of a ratio A : B defined?

• The difference A - B as long as B is not zero.

• The quotient A / B as long as B is not zero.

• The product A * B as long as B is not zero.

• The sum A + B as long as B is not zero.

Which of the following is true for equivalent ratios?

• They must have the same numerator.

• They must be equal without scaling.

• They must have the same denominator.

• They can be scaled by a nonzero number to be equal.

What does the percent symbol (%) indicate?

• A number multiplied by 100.

• A number multiplied by 10.

• A number divided by 100.

• A number divided by 10.

What is the main characteristic of a unit rate?

• The second quantity is always greater than 1.

• The first quantity is always greater than 1.

• The second quantity is always 1.

• The first quantity is always 1.