Algebra Test: Set, Structure, and Function

The expression 3x² represents

(3)(x)(x)

Given that ƒ(x) = x² + 5x, evaluate ƒ(-2).

-6

In simplified exponential notation, the expression a^2 • a^-3 • a =

1

Evaluate each expression. 3^-2 =

1/9

(3a)^3 = This expression without exponents is

3a3a3a

Simplify 3(x + 2) + 4(x - 5)

7x-14

How many subsets does set A have if the set A has 3 elements?

8

Simplify 5(x - 2) + 3x

8x-10

Express in simplified exponential notation. x^3 • x^5 =

x^8

Select all that justify the following statement. 3 + (y + 5) = y + 8

commutative - addition associative - addition

Given A = {1, 3, 5}, B = {2, 4, 6} and C={1, 2, 3, 4, 5, 6}, then A ∪ (B ∩ C) =

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

If A = {1, 3, 5} and B = {1, 2, 3, 4, 5, 6} then A ∪ B

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

If ƒ = {(5, 1),(6, 2),(7, 3),(8, 1),(9, 7)}, then the range of ƒ is

{1,2,3,7}

If F(x) = x² + 5x and G(x) = 2x + 1, find F(5) + G(6).

63

Evaluate g (3) if g (x) = 2x + 1.

7

Simplify the expression in exponential notation. a • a • a

a^3

Select all that justify the following statement. 10 + x • 12 = 12x + 10

commutative - addition commutative - multiplication

Select all that justify the following statement. 8 • 1/8 + (-1) + 5 = 5

inverse - addition inverse - multiplication

Simplify the expression in exponential notation. 2 • a • b • a • b

2a^2b^2

If g (x)=2x + 1, find g (a + h)- g (a).

2h

Simplify 7 - 2(5 - 2x)

4x-3

Express in simplified exponential notation 18a^3b^2/2ab

9a^2b

(abc)^2 = This expression without exponents is

abcabc aabbcc

Select all that justify the following statement. 2 • 1/2 = 1

inverse - multiplication

The inverse of a function is a function.

sometimes