Study

Question 1

Set of real numbers symbol

Answer 1

ℝ

Question 2

ℝ

Answer 2

Set of real numbers symbol

Question 3

If a and b are in ℝ so is

Answer 3

a+b and a•b

Question 4

Commutative property

Answer 4

a+b = b+a / a•b = b•a

Question 5

a+b = b+a / a•b = b•a

Answer 5

Commutative property

Question 6

Associative property

Answer 6

(a+b)+c = a+(b+c) / (a•b)•c = a•(b•c)

Question 7

(a+b)+c = a+(b+c) / (a•b)•c = a•(b•c)

Answer 7

Associative property

Question 8

Additive identities

Answer 8

Real # 0 such that a+0=a for all a

Question 9

Real # 0 such that a+0=a for all a

Answer 9

Additive identities

Question 10

Multiplicative identitity

Answer 10

Real # 1 that a•1=a for all a

Question 11

Real # 1 that a•1=a for all a

Answer 11

Multiplicative identitity

Question 12

Additive inverses

Answer 12

For any a in ℝ, there is a # -a in ℝ that a+(-a)=0

Question 13

For any a in ℝ, there is a # -a in ℝ that a+(-a)=0

Answer 13

Additive inverses

Question 14

Multiplicative inverses

Answer 14

For any a≠0, there is a # 1/a in ℝ that a•1/a=1

Question 15

For any a≠0, there is a # 1/a in ℝ that a•1/a=1

Answer 15

Multiplicative inverses

Question 16

Distributive property

Answer 16

a•(b+c)=a•b+a•c for all a,b,c in ℝ

Question 17

a•(b+c)=a•b+a•c for all a,b,c in ℝ

Answer 17

Distributive property

Question 18

Term

Answer 18

Any number, constant, variable, or parenthetical group

Question 19

Any number, constant, variable, or parenthetical group

Answer 19

Term

Question 20

Expression

Answer 20

Combination of terms using additional, subtraction, multiplication, division, exponents, or roots

Question 21

Combination of terms using additional, subtraction, multiplication, division, exponents, or roots

Answer 21

Expression

Question 22

Equation

Answer 22

Statement that two expressions are equal

Question 23

Statement that two expressions are equal

Answer 23

Equation

Question 24

Define expression “a^n”

Answer 24

a^0=1 if a≠0 / a^-n=1/a^n

Question 25

a^0=1 if a≠0 / a^-n=1/a^n

Answer 25

a^n

Question 26

(a•b)^n =

Answer 26

a^n • b^n

Question 27

a^n • b^n =

Answer 27

(a•b)^2

Question 28

(a/b)^n =

Answer 28

a^n/b^n (b≠0)

Question 29

Does zero have a degree?

Answer 29

No

Question 30

Does not have a degree

Answer 30

Zero

Question 31

Polynomial with one term

Answer 31

Monomial

Question 32

Monomial

Answer 32

Polynomial with one term

Question 33

Polynomial with two terms

Answer 33

Binomial

Question 34

Binomial

Answer 34

Polynomial with two terms

Question 35

Polynomial with three terms

Answer 35

Trinomial

Question 36

Trinomial

Answer 36

Polynomial with three terms

Question 37

5x^2 y^4 What is the degree of this term?

Answer 37

6

Question 38

A^2-B^2 =

Answer 38

(A-B)(A+B)

Question 39

(A-B)(A+B)

Answer 39

A^2-B^2

Question 40

(A-B)^2 =

Answer 40

A^2-2AB+B^2

Question 41

A^2-2AB+B^2

Answer 41

(A-B)^2

Question 42

A^3-B^3 =

Answer 42

(A-B)(A^2+AB+B^2)

Question 43

(A-B)(A^2+AB+B^2)

Answer 43

A^3-B^3

Question 44

A^3+B^3 =

Answer 44

(A+B)(A^2-AB+B^2)

Question 45

(A+B)(A^2-AB+B^2)

Answer 45

A^3+B^3

Question 46

Rational number is a

Answer 46

Ratio of integers like 3/4

Question 47

Ratio of integers

Answer 47

Rational number

Question 48

Rational expression

Answer 48

Ratio of polynomials like x+3/2

Question 49

Ratio of polynomials

Answer 49

Rational expression

Question 50

Let a>0. To say b= √ a means:

Answer 50

1. ) b^2=a 2. ) b>0 This is principal square root of a

Question 51

For any real x, √ x^2 =

Answer 51

|x|

Question 52

If a>0 , n√a = b if

Answer 52

b^2=a and b>0

Question 53

If a<0 and n is odd n√a=b if

Answer 53

b^n=a

Question 54

If a<0 and n is even n√a is

Answer 54

Not real

Question 55

n√x What is index and what is radicand?

Answer 55

n is index and x is radicand

Question 56

How do you rationalize 3√9?

Answer 56

Multiply by 3√9^2 because 1/3 + 2/3 = 1

Question 57

Multiply by 3√9^2 because 1/3 + 2/3 = 1

Answer 57

Rationalizing 3√9

Question 58

An equation whose solutions set is all ℝ is an

Answer 58

Identity

Question 59

Identity

Answer 59

An equation whose solutions set is all of ℝ

Question 60

An equation whose solution set is empty is

Answer 60

Inconsistent

Question 61

Inconsistent

Answer 61

An equation whose solution set is empty

Question 62

An equation with non-empty solution set that is not all of ℝ is

Answer 62

Conditional

Question 63

Conditional

Answer 63

An equation with non-empty solution set that is not all of ℝ

Question 64

Quadratic equation standard form

Answer 64

ax^2+bx+c

Question 65

ax^2+bx+c

Answer 65

Quadratic equation standard form

Question 66

b^2-4ac > 0 b^2-4ac = 0 b^2-4ac < 0

Answer 66

Two real solutions One real solution No real solutions

Question 67

A combination of one or more inequalities is a

Answer 67

Compound inequality

Question 68

Compound inequality

Answer 68

A combination of one or more inequalities is a

Question 69

|2x-3| = 13

Answer 69

2x-3 = 13 or 2x-3 = -13

Question 70

2x-3 = 13 or 2x-3 = -13

Answer 70

|2x-3| = 13

Question 71

Distance formula

Answer 71

√(x1-x2)^2 + (y1-y2)^2

Question 72

√(x1-x2)^2 + (y1-y2)^2

Answer 72

Distance formula

Question 73

Midpoint formula

Answer 73

(x1+x2/2,y1+y2/2)

Question 74

(x1+x2/2,y1+y2/2)

Answer 74

Midpoint formula

Question 75

Circle standard equation

Answer 75

(x-h)^2 + (y-k)^2 = r^2 with center (h,k)

Question 76

(x-h)^2 + (y-k)^2 = r^2 with center (h,k)

Answer 76

Circle standard equation

Question 77

If (x1,y1) and (x2,y2) are the points on a line, then its slope is

Answer 77

m = y2-y1/x2-x1

Question 78

m = y2-y1/x2-x1

Answer 78

If (x1,y1) and (x2,y2) are the points on a line slope

Question 79

Point-slope formula

Answer 79

y-y1 = m(x-x1)

Question 80

y-y1 = m(x-x1)

Answer 80

Point-slope formula

Question 81

Negative reciprocal slopes formula

Answer 81

m1•m2=-1

Question 82

m1•m2=-1

Answer 82

Negative reciprocal slopes