Algebra I Unit 7 Review

Simplifying Polynomials

100

To simplify a polynomial expression, you must combine like _____.

Terms

200

Like terms need to have the same _____ raised to the same _____.

variable; exponent

300

Identify the like terms:

4x, x, 4x^2, x^3, .5x, x⁷

4x and x

400

Simplify the expression:

8x²+4x-7x²-12x

x²-8x

500

Simplify the expression:

-3t³-14t-6+3t²-t³+19

-4t³+3t²-14t+13

Naming Polynomials

100

A monomial has only ____ term.

one

200

A binomial has ____ terms.

2

300

How many terms does a trinomial have? Give an example.

3; examples will vary.

400

What determines the degree of a polynomial?

The greatest value among the sums of the exponents on the variables in each term.

500

Simplify, write the polynomial in standard form, then classify it:

-3b²+2b-7+6b³+12b⁴+7

 

12b⁴+6b³-3b²+2b

4th degree polynomial with 4 terms

Adding and Subtracting Polynomials

100

Add the polynomials:

(x²-x⁴)+(x⁴-x²)

0

200

Add:

(2x+y+z)+(-x+y-z)

x+2y

300

Add:

(2x-x³-2x²)+(-x³-2x)

-2x³-2x²

400

Subtract:

(18z+12)-(11z-5)

7z+17

500

Subtract:

(-2x²+x+1)-(2x²-x-1)

-4x²+2x+2

Multiplying Polynomials

100

"FOIL" is a shortcut used to multiply two _______.

binomials

200

What does FOIL stand for?

First, Outside, Inside, Last

300

Multiply the binomials:

(x+5)(x+2)

x²+7x+10

400

Multiply:

(x+4)(x⁴+x²+1)

x⁵+4x⁴+x³+4x²+x+4

500

Multiply:

(6x-7y)²

36x²-84xy+49y²

Math Trivia

100

How old was Sir Isaac Newton when he developed Integral Calculus?

a) 17

b) 23

c) 29

b) 23

200

How many seconds are in one day?

86,400 seconds

300

The fraction 22/7 approximates what irrational number?

Pi

400

What is the only number that is spelled in alphabetical order?

HINT: It is a multiple of 10

Forty

500

The "Birthday Paradox" states that in a group of 23 people, there is a _____ percent chance that two people will share the same birthday.

50%