Messmer High School                              Name_________________________

 

Algebra, Chapter 6 Quiz, week 4             Date____________ Hour_________

 

	Identity property	1	Two numbers whose sum is zero.
	Monomial	2	Other factoring methods based on intelligent trial and error
	Type 5 factoring	3	A plus B = B plus A
	factoring	4	Either a numeral, a variable, or a product of numerals and variables with a whole number exponent
	Type 1 factoring	5	A + 0 = A
	Type 2 factoring	6	Finding and using the greatest common factor and the distributive property.
	Type 3 factoring	7	A monomial or a sum of monomials
	Polynomial	8	Factoring by grouping
	Commutative Property	9	Finding two expressions that, when multiplied together, give a product
	Trinomial square	10	Difference of two squares. Two terms, both squares, with a minus sign between the terms.
	Type 4 factoring	11	Finding the square root of a trinomial square.
	Additive inverses	12	The square of a binomial

What are the three tests for determining if a trinomial is a trinomial square?

 

Test 1.______________________________________________________________

 

Test 2.______________________________________________________________

 

Test 3.______________________________________________________________

 

What are the three tests for determining if a binomial is the difference of two squares?

 

Test 1.______________________________________________________________

 

Test 2.______________________________________________________________

 

Test 3______________________________________________________________

Simplify

9² x 9⁵                                                      a⁷b⁴  /  a⁴b³

 

 

 

 

Simplify by combining the like terms:

10 + 6x²– 10x + 4x² + 25x - 3                    4 + 4n² – 13n + 24n² + 5n - 27

 

 

 

 

Multiply or divide as indicated

4B(2B + 11)                                                      (5A – 7)(5A + 11)

 

 

 

Write using scientific notation

5,230                                                   0.00125

 

 

 

Write using standard notation:

6.78 x 10³                                                5.2 x 10^-3  

 

 

 

Factor completely   

 8a² – 24a                                                7x³ – 28x² + 21x  

 

 

 

 

49x² – 144                                                64y⁴ – 9x²

 

 

 

 

 

9x² + 6x + 1                                                      16y² - 24y + 9

 

 

 

 

x² + 15x + 50                                           x² + 18x + 72         Name_________________

 

 

 

 

 

 

x² + 5x – 14                                             x² - 3x - 54

 

 

 

 

 

 

 

6x³ + 12x² + 5x + 10                                 5x³ – 2x² + 10x – 4

 

 

 

 

 

 

 

Solve the following equations. Remember to find both values for the variable:

 

x² – 9x + 14 = 0                                        x² – 81 = 0

 

 

 

 

 

 

 

 

2x² – 16 = 0                                             9x² – 4 = 0