12/06 Flashcard

Front

What is the process to find out how many cakes can be made from a given amount of cake mix?

Back

To find out how many cakes can be made, divide the total amount of cake mix by the amount needed for one cake. For example, if you have 2/3 cup of cake mix and each cake requires 2/9 cup, you calculate (2/3) ÷ (2/9) = (2/3) * (9/2) = 3 cakes.

Front

How do you calculate the total cost for multiple tickets?

Back

To calculate the total cost for multiple tickets, multiply the cost of one ticket by the number of tickets. For example, if one ticket costs $20.75 and you buy 4 tickets, the total cost is $20.75 * 4 = $83.00.

Front

What is the formula to calculate the distance between two points on a coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) is calculated using the formula: Distance = |x2 - x1|. For example, for points A(-9, 5) and B(10, 5), the distance is |10 - (-9)| = 19 units.

Front

How do you compare integers?

Back

To compare integers, determine their positions on the number line. The integer further to the right is greater. For example, 47 is greater than -72 because 47 is to the right of -72 on the number line.

Front

What does the expression 3x - 7 represent?

Back

The expression 3x - 7 represents the difference between three times a variable x and seven.

Front

What is a fraction and how is it represented?

Back

A fraction represents a part of a whole and is written as a/b, where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 = 1 ÷ 4 = 0.25.

Front

What is the least common multiple (LCM) and how is it found?

Back

The least common multiple (LCM) of two numbers is the smallest multiple that is evenly divisible by both numbers. It can be found by listing the multiples or using prime factorization.

Front

What is the greatest common factor (GCF) and how is it determined?

Back

The greatest common factor (GCF) is the largest number that divides two or more numbers without leaving a remainder. It can be found by listing the factors or using prime factorization.

Front

What is the difference between a variable and a constant in algebra?

Back

A variable is a symbol that represents an unknown value (e.g., x), while a constant is a fixed value (e.g., 5).