Contemporary College Math Semester 1 Review

Front

What is the definition of a subset?

Back

A set A is a subset of set B (denoted A ⊆ B) if every element of A is also an element of B.

Front

What does the symbol ⊂ represent in set theory?

Back

The symbol ⊂ indicates that one set is a proper subset of another, meaning all elements of the first set are in the second set, and the second set contains at least one element not in the first.

Front

Solve for w: -4(3w + 4) - 14 = 3(2w - 4) - 9w

Back

w = -2

Front

What is the process of rationalizing the denominator?

Back

Rationalizing the denominator involves eliminating any square roots or irrational numbers from the denominator of a fraction.

Front

Back

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that the sum of any number and zero is the number itself (e.g., a + 0 = a).

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped in addition does not change their sum (e.g., (a + b) + c = a + (b + c)).

Front

What is the Additive Inverse Property?

Back

The Additive Inverse Property states that for every number a, there exists a number -a such that a + (-a) = 0.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where p is the numerator and q is the denominator (q ≠ 0).

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.