Algebra 2 : Unit 1 Quiz 1 Review

The total number of subsets of {A, B, C} is _____.

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}

Given the following sets, select the correct answer. Given A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, C = {1, 5, 6, 7, 9} A ∩ B =

Empty set

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

Set A is the empty set.

If A ⊂ B, then

A ∪ B = B

Select the statements that are true based on the following given information. D = {x | x is a whole number} E = {x | x is a perfect square < 36} F = {x | x is an even number between 20 and 30}

F ⊂ D (E ∩ F) is the empty set.

If A ⊂ B, then which of the following describes the relationship between A and B?

Set B may have more elements than A does.

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

associative property

Select the property that allows the left member of the equation to be changed to the right member. b + a = a + b

commutative - addition

Choose two axioms that allow 6 + (x + 5) to be written x + 11.

commutative - addition associative - addition

Choose the axiom that allows x(10) to be written 10x.

commutative - multiplication

Select the property that allows the left member of the equation to be changed to the right member. a(b + c) = ab + ac

distributive

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

distributive property

Select the property that allows the left member of the equation to be changed to the right member. 8 + 0 = 8

identity - addition

Select the property that allows the left member of the equation to be changed to the right member. If 2 = x, then x = 2

symmetric

Select the property that allows the statement 10 = y to be written y = 10.

symmetric

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

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

A = {1, 3, 5, 7, 9} B = {2, 4, 6, 8, 10} C = {1, 5, 6, 7, 9} A ∩ (B ∩ C) =

{}

A = {1, 3, 5, 7, 9} B = {2, 4, 6, 8, 10} C = {1, 5, 6, 7, 9} A ∪ B =

integers from 1 to 10 inclusive

If A ⊂ B, then A ∩ B = A ∪ B.

never

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

the empty set

A = {1, 3, 5, 7, 9} B = {2, 4, 6, 8, 10} C = {1, 5, 6, 7, 9} A ∪ (B ∩ C) =

{1, 3, 5, 6, 7, 9}

A = {1, 3, 5, 7, 9} B = {2, 4, 6, 8, 10} C = {1, 5, 6, 7, 9} A ∩ (B ∪ C) =

{1, 5, 7, 9}

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

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