Final Exam Semester 1

Question 1

Independent

Answer 1

The lines are different

Question 2

Dependent

Answer 2

The lines are the same

Question 3

Consistent

Answer 3

The intersect

Question 4

Inconsistent

Answer 4

The lines don’t intersect

Question 5

How many field axioms

Answer 5

11

Question 6

Commutativity

Answer 6

Changes the order of the operation. A+b=b+a

Question 7

Associativity

Answer 7

Changed the grouping and not the order

A+b)+c=A+(b+c

Question 8

Inverses

Answer 8

Additive inverse: 5+(-5)=0 AKA opposite

Multiplicative inverse: a(1/a)

Question 9

Identity

Answer 9

Any field must contain 0 and 1
Additive identity a+0=a
Multiplicative identity a*1=a

Question 10

Distributivity

Answer 10

a(b+c)=ab+ac

Question 11

Different parabolas

Answer 11

Y=3x^2: this would give you a more narrow parabola
Y=x^2: this would give you a slightly more wide parabola
Y=1/3x^2: this would give you the widest parabola