Alg A final

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is calculated using the formula: P = 2(length + width).

Front

If a gasoline tank is \(\frac{4}{5}\) full and the total capacity is 13.5 gallons, how do you find the amount needed to fill it?

Back

To find the amount needed to fill the tank, calculate the remaining capacity: Remaining capacity = Total capacity - Current capacity = 13.5 - (\frac{4}{5} \times 13.5) = 2.7 gallons.

Front

What is the result of dividing two negative numbers?

Back

Dividing two negative numbers results in a positive number. For example, -12 ÷ (-4) = 3.

Front

What is the product of three negative numbers?

Back

The product of an even number of negative numbers is positive, while the product of an odd number of negative numbers is negative. For example, -2 × -5 × -3 = -30.

Front

How do you evaluate an expression with a negative number subtracted from a positive number?

Back

When subtracting a negative number from a positive number, it is equivalent to addition. For example, 10 - (-3) = 10 + 3 = 13.

Front

What is the definition of a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction \(\frac{a}{b}\), where a and b are integers and b is not zero.

Front

What is the difference between a proper fraction and an improper fraction?

Back

A proper fraction has a numerator that is less than its denominator (e.g., \(\frac{3}{4}\)), while an improper fraction has a numerator that is greater than or equal to its denominator (e.g., \(\frac{5}{4}\)).

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, | -5 | = 5 and | 5 | = 5.

Front

What is the distributive property in mathematics?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum.

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, \(\frac{1}{4} = 0.25\).