Mathlete's Flashcard 4 - Algebraic Reasoning (L-Z)

Front

What is 20% of a number?

Back

To find 20% of a number, multiply the number by 0.20.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction (e.g., 3/4), with a colon (e.g., 3:4), or in words (e.g., '3 to 4').

Front

What does the ratio 3:4 mean in terms of parts?

Back

It means for every 3 parts of one quantity, there are 4 parts of another quantity.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the formula to find miles per gallon (MPG)?

Back

MPG = Total miles driven / Total gallons of gas used.

Front

If Xander's truck travels 315 miles on 20 gallons, how far does it travel on 1 gallon?

Back

To find the distance per gallon, divide 315 miles by 20 gallons, which equals 15.75 miles per gallon.

Front

What is the ratio of students who prefer pineapple pizza if 3 out of 30 students prefer it?

Back

Front

How do you calculate the amount of ingredients needed based on a ratio?

Back

Multiply the ratio by the number of servings to find the total amount needed.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, place the first number over the second number.