Algebra 1A Unit 1 Test Review

Definitions

100

What is a number or variable in a polynomial that is separated  by an addition or subtraction sign

a term

200

The number before a variable within a term is called the...

Coefficient

300

A term that has no variable

Constant

400

The highest exponent on the variables in a term

Degree of the term

500

Terms that have the same variables and the same degree are....

Like terms

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x² - 3x) - (x² -2x + 4)

-x² + x - 4

Miscellaneous

100

Name the set

{1,2,3,4....}

counting numbers

200

a countable set

ex {whole numbers<7}

finite

300

standard form of:

3x² - 2x⁴ + 9 + 6x⁶

6x⁶ - 2x⁴+3x²+ 9

400

non-repeating, nonterminating decimals

irrational numbers

500

the whole numbers and their opposites

integers

Properties

100

a(bc)=(ab)c

associative property of multiplication

200

(-81)(14)=(14)(-81)

commutative property of multiplication

300

-2x+6y=-2(x-3y)

distributive property

400

7+(3+5)=(3+5)+7

Commutative Property of addition

500

a+(-a) = 0

additive inverse