Midterm Definitions

Question 1

What property does y+2z=2z+y represent?

Answer 1

The commutative property of addition

Question 2

What property does (12x)10=10(12x) represent?

Answer 2

Commutative property of Multiplication

Question 3

What property does (7+x)+12=7+(r+12) represent?

Answer 3

Associative property of addition

Question 4

What property does 9(1/3x)=(9*1/3)x?

Answer 4

Associative property of multiplication

Question 5

What property does 3x+(-3x)=0?

Answer 5

Additive inverse property

Question 6

What property does 1/9*9=1?

Answer 6

Multiplicative inverse property

Question 7

What property does 15c+0=15c?

Answer 7

Additive identity property

Question 8

What property does 1/8*1=1/8 represent?

Answer 8

Multiplicative identity property

Question 9

What property does 0*13/10 represent?

Answer 9

Multiplicative property of zero

Question 10

What property justifies the statement “if x(x+4)=0, then x=0 or x+4=0”?

Answer 10

Zero product property

Question 11

What property does a(b+c)=Ab+ac represent?

Answer 11

Distributive property

Question 12

What property does the statement “if 1/2x=12 then 21/2=212 represent?

Answer 12

Multiplicative property of equality

Question 13

What property does the statement “if a-8=14, then a-8+8=14+8?

Answer 13

Additive property of equality

Question 14

A function is a relation where___.

Answer 14

Each value in the domain(x) corresponds to one value in the range(y)

Question 15

If the graph of a system of linear equations are two parallel lines, then the system is called

Answer 15

Inconsistent

Question 16

If a system of two equations is dependent, then the graphs of the two equations

Answer 16

Are at the same line

Question 17

If the graph of a system of linear equations are two parallel lines, then

Answer 17

There is no solution

Question 18

Which expression would determine that a quadratic equation with real coefficients has two real solutions?

Answer 18

B^2 -4ac>0

Question 19

Which expression would determine that a quadratic equation with real coefficients has one real solution?

Answer 19

B^2 -4ac=0

Question 20

Which expression would determine that a quadratic equation with real coefficients has no real solution?

Answer 20

B^2 -4ac<0

Question 21

If two functions f and g are unversed of each other then what is true for all x in the domains of g?

Answer 21

F(g(x))=x

Question 22

Which transformation maps the graph of a function f onto the graph of its inverse f^-1?

Answer 22

Reflection over the line y=x