Understanding Equivalent Ratios

What do equivalent ratios represent?

• Different numbers with the same comparison

• A mathematical equation involving addition

• The same numbers with different comparisons

• A direct proportion between two quantities

How can we find equivalent ratios?

• By adding the same number to both terms

• By subtracting the same number from both terms

• By multiplying or dividing both terms by the same number

• By squaring both terms

What visual representation was used to explain equivalent ratios?

• Bars and lines

• X's and O's

• Circles and squares

• Numbers and letters

What happens to the comparison between numbers in equivalent ratios when they are multiplied by the same number?

• It remains the same

• It becomes inverse

• It doubles

• It changes

What is required for two ratios to be considered proportional?

• They must be multiplied by 10

• They must have the same denominator

• They must represent the same comparison

• They must be divisible by the same number

Why was division not used in the first example of finding equivalent ratios?

• Because it was an oversight

• Because multiplication is easier

• Because the only common factor was one

• Because it's not a valid method

What common factor other than one was identified in the second example?

• 3 and 6

• 5 and 10

• 8 and 16

• 2 and 4

What does dividing both terms of a ratio by a common factor achieve?

• Both A and C

• It simplifies the ratio to its lowest terms

• It changes the ratio into a fraction

• It creates an equivalent ratio

What was the result of multiplying the terms of the ratio 12 to 8 by 10?

• 6 to 4

• 24 to 16

• 120 to 80

• 3 to 2

How can equivalent ratios be found?

• Through both multiplication and division, if common factors exist

• Only through multiplication

• Only through division

• Through subtraction or addition of the same number