Algebra 1 Terms

Question 1

What is a real number?

Answer 1

numbers that are made of rational and irrational #’s

Question 2

What is a signed number?

Answer 2

numbers that are positive, negative, or zero.

Question 3

What is a real number?

Answer 3

A number that can be expressed as a quotient of an integer divided by a nonzero integer or a decimal that terminates or repeats. (Can turn into fraction)

For example: 1, 5, 9.67, ⅓ etc.

Question 4

What is an irrational number?

Answer 4

Number that can’t be expressed as the quotient of 2 integers. Decimals don’t terminate or repeat. (Can’t be turned into a fraction)

For example: 7.87903.., √6, 5.4783…, 𝜋

Question 5

What is a rational root?

Answer 5

numbers to the perfect nth power
For example : √4, √36, -√16

Question 6

What is an irrational root?

Answer 6

non perfect squares
For example: √2, √7, 2*√5

Question 7

What is an exponent?

Answer 7

A small raised number written to the upper right of a quantity called the base for the exponent.
The exponent how many times to use the base as a factor

Question 8

What is the base of an exponential expression?

Answer 8

X is the base

Question 9

What is a polynomial?

Answer 9

a single monomial or the (algebraic) sum of two or more monomials.

Question 10

What is a monomial?

Answer 10

A single term that is the product of a constant and one or more variables with nonnegative integer exponents

Question 11

What is a binomial?

Answer 11

a polynomial with exactly two terms

Question 12

What is a trinomial?

Answer 12

a polynomial with exactly three terms

Question 13

What is the numerical coefficient?

Answer 13

The number part of a monomial

For example: 3x
Numerical coefficient = 3

Question 14

What is the degree of a monomial?

Answer 14

The sum of the exponents of the variables in a monomial

Question 15

What is the leading term in a polynomial?

Answer 15

The term with the variable with the greatest power

Question 16

What is the leading coefficient in a polynomial?

Answer 16

The coefficient in the leading term

Question 17

What is a constant term in a polynomial?

Answer 17

The last term

Question 18

What is the special product of perfect squares?

Answer 18

(x+y)^2 = x^2 + 2xy + y^2

(x-y)^2 = x^2 - 2xy + y^2

Question 19

What is the special product of, “the difference of two squares?”

Answer 19

(x+y)(x-y) = x^2 - y^2

Question 20

What is the special product of perfect cubes?

Answer 20

(x + y)^3 = x^3 + 3x^2y + 3xy^2 + y^3

(x-y)^3 = x^3 - 3x^2y +3xy^2 - y^3

Question 21

What is the special product of, “the sum of two cubes?”

Answer 21

(x+y)(x^2-xy+y^2) = x^3+y^3

Question 22

What is the special product of, “the difference of two cubes”

Answer 22

(x-y)(x^2+xy+y^2) = x^3-y^3

Question 23

What is a rational expression?

Answer 23

an algebraic expression that can be written as the ratio of two polynomials. The denominator in a rational expression can’t be equal to zero since division by 0 is undefined.

Question 24

What does the Fundamental Principle of Rational Expressions Allow you to do with polynomials?

Answer 24

It allows you to reduce rational expressions to lowest terms by dividing the numerator and to denominator by the GCF