Algebraic Expressions


Which of the following sets of ordered pairs represents a function?


{(-2,1),(-1,3),(2,1),(-2,2)}

{(-1,4),(1,4),(2,4),(-2,4)}

{(-1,3),(-1,4),(-1,5),(-1,6)}

{(2,2),(3,3),(4,4),(2,1)}


Use complete sentences to describe the relationship between sets A and B if A is a subset of or is equal to B.

A = {8}

B = {7, 8, 9}


Which of the following properties is a(b · c) = (a · b)c an example of?

associative property

commutative property

multiplicative identity

distributive property


Given: A = {a, e, i, o, u}, B = {a, l, g, e, b, r}, C = {m, y, t, h}, A ∩ C is

m, a, e, i, o, u, t, h

the empty set

i

a, e, i, o, u, y


If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)}, then the range of G is

{(7, -1),(2, -8),(0, 0),(6, 6)}

{-8, -1, 0, 6}

{0, 2, 6, 7}


Given B = {a, l, g, e, b, r} and C = {m, y, t, h}, find B ∪ C.

{}

{a}

{a, b, e, g, h, l, m, r, t, y}


If A ⊂ B and A ∩ B = θ then which of the following can be concluded about the sets A and B?

Set A has more elements in it than set B.

Set A is the set containing zero.

Set A is the empty set.

Both sets A and B are the empty set.


Given A = {a, e, i, o, u} and B = {a, l, g, e, b, r}, find A ∪ B.

{}

{a,e}

{a, b, e, g, i, l, o, r, u}


Which of the following properties is 5(3 + 2) = 15 + 10 an example of?

associative property

commutative property

multiplicative identity

distributive property


Given f(x) = 3x - 1 and g(x)= -x + 6, find f(-2) + g(5).

-6

6

8


List all of the elements of set A if A = {x|x is an integer and -6 ≤ x <0}

{-6, -5, -4, -3, -2, -1, 0}

{-6, -5, -4, -3, -2, -1}

{-5, -4, -3, -2, -1}