Precalculus Test 1

Question 0

Whole Numbers

Answer 0

0, 1, 2, 3…

Question 1

Natural(or counting) numbers

Answer 1

1, 2, 3…

Question 2

Integers

Answer 2

…-3, -2, -1, 0, 1, 2, 3…

Question 3

Rational Numbers

Answer 3

Anything that can be written as a fraction

Question 4

Irrational Numbers

Answer 4

Cannot be written as a fraction. EXAMPLE: Pi, i, Square root of 13

Question 5

If a & b are real, then a + b = real

Answer 5

Addition Closure

Question 6

If a & b are real, ab = real

Answer 6

Multiplication Closure

Question 7

a + b = b + a

Answer 7

Communitive Addition

Question 8

ab = ba

Answer 8

Communitive Multiplication

Question 9

(a + b) + c = a + (b + c)

Answer 9

Addition Associative

Question 10

a(bc) = (ab)c

Answer 10

Multiplication Associative

Question 11

a + 0 = a

Answer 11

Identity Addition

Question 12

a(1) = a

Answer 12

Identity Multiplication

Question 13

a + (-a) = 0

Answer 13

Inverse Addition

Question 14

a(1/a) = 1

Answer 14

Inverse Multiplication

Question 15

a(b+c) = ab + ac

Answer 15

Distributive

Question 16

Product of Powers

Answer 16

Add Exponents with same base; Multiply coefficients
EXAMPLE: x^2*x^3 = x^5
EXAMPLE: (2x^3)(3x^4) = 6x^7

Question 17

Power to a Power

Answer 17

Multiply Exponents

EXAMPLE: (x^2)^3 = x^6

Question 18

Power of a Product

Answer 18

(ab)^m = a^m*b^m