Unit 2 Proportional Reasoning Practice

Front

What is proportional reasoning?

Back

Proportional reasoning is the ability to compare ratios and understand the relationship between quantities. It involves recognizing that two ratios are equivalent.

Front

How do you find what percent one number is of another?

Back

To find what percent one number (A) is of another number (B), use the formula: (A/B) x 100.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other, expressed as 'a:b'.

Front

If 30% of 60 students prefer dogs, how many students is that?

Back

18 students. (30% of 60 = 0.30 x 60 = 18)

Front

What is the cost per pound of a 20-lb bag of dog food that costs $23.44?

Back

The cost per pound is $1.17. ($23.44 / 20 lbs = $1.17 per lb)

Front

How do you calculate a ratio from a set of items?

Back

To calculate a ratio, count the number of each type of item and express it as a fraction or in the form 'a:b'.

Front

What is the formula to calculate the total cost of multiple items?

Back

Total Cost = Price per item x Number of items.

Front

If a package of markers costs $5, what would 11 packages cost?

Back

$55. (11 x $5 = $55)

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100.