Algebra 9- Unit 5.1

Question 1

What is an expression in mathematics?

Answer 1

A group of numbers and letters but with no equal sign

Example: 2n² + 2n - 3

Question 2

What is an equation in mathematics?

Answer 2

A group of numbers and letters but has an equal sign

Example: 2n² + 2n - 3 = 0

Question 3

What is a polynomial?

Answer 3

One or more terms joined by addition or subtraction, each term must have a whole number exponent and cannot have the exponent in the denominator.

Question 4

Define a term in mathematics.

Answer 4

A number, variable, or product of numbers and variables.

Examples: -3, 6, n, n³, 5n²

Question 5

What is a variable?

Answer 5

Any letter that is in the place of a number, multiple numbers can take the place of a single variable.

Examples: a, b, n

Question 6

What is a coefficient?

Answer 6

A number that is joined with a variable by multiplication.

Examples: In 9b, Coeff. = 9; In n², Coeff. = 1; In 2x² - 3x, Coeff. = 2, -3

Question 7

What is a constant in mathematics?

Answer 7

A number by itself that doesn’t change when the variable changes.

Example: In bx + 9, Const. = 9

Question 8

Fill in the blank: A polynomial can be classified as one or more terms joined by _______.

Answer 8

addition or subtraction

Question 9

True or False: A polynomial can have negative exponents.

Answer 9

False

Question 10

Fill in the blank: In the expression 4a² - 3a - 8, the Coeff. of a² is _______.

Answer 10

4

Question 11

Fill in the blank: In the expression 4a² - 3a - 8, the Const. is _______.

Answer 11

-8

Question 12

What is a monomial?

Answer 12

1 term

Examples include 5x, b, -b³

Question 13

What is a binomial?

Answer 13

2 terms

Examples include 5x + 3, 7g° + 2h, -4m + 2

Question 14

What is a trinomial?

Answer 14

3 terms

Example: 6y + 7y - 8

Question 15

What determines the degree of a polynomial?

Answer 15

The term with the highest exponent

Example: In 4a² - 8a + 9a°, the degree is 2

Question 16

What is the degree of the polynomial 2h² - 3h³ + 8h?

Answer 16

4

The degree is determined by the highest exponent, which is 3

Question 17

What is the degree of the polynomial n³ - 3567?

Answer 17

3

The highest exponent is 3

Question 18

How are polynomials written?

Answer 18

In descending order based on the value of the exponent

Coefficients do not affect the order of the terms

Question 19

True or False: Coefficients play a role in the order of polynomial terms.

Answer 19

False

The order is based solely on the exponents

Question 20

Fill in the blank: A _______ degree polynomial has no terms with variables.

Answer 20

0th

Question 21

What should you watch for when working with polynomials?

Answer 21

Negative signs

Ensure to transfer them with the correct numbers