QUIZ 3: ALGEBRAIC EXPRESSIONS

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

-6

Simplify the following expression. 5(2x -3) + 4( x + 1)

14x-11

Which of the following is equal to 1/5^-2 ?

25

Simplify (3a²) ³.

27a⁶

Evaluate 6⁰ + 6¹ + 6²

43

Simplify the following expression. 32a³b²/8ab²

4a²

Simplify the following expression. 5(x + y) + 3(x - y)

8x+2y

Use complete sentences to describe the relationship between sets A and B if A ⊆B. A = {8} B = {7, 8, 9}

In set A you have {8} and in set B you have {7,8,9}. Now you can draw a circle and write 7,8,9 inside of it. Next, draw a circle around 8. The larger circle represents set B and the smaller circle represents set A. Set A is a subset of set B.

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.

Use complete sentences to describe the intersection of any set A with the empty set.

Since there is nothing in the empty set, there is no intersection of set A and the empty set.

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

associative property

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

distributive property

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

Simplify the following expression. (x ⁵)(x ^-5)(x²)

x²

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

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

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}

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

{0, 2, 6, 7}

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}

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}