Messmer High School				Name_________________________
 
Algebra, Semester 1 Final Exam			Date____________ Hour_________

______ formula	
1.	Write an equivalent expression that is a product of two or more numbers or expressions.	

______ variable	
2.	
Parentheses, Brackets, and Braces	

______ Commutative Property	
3.	
a+b = b+a and ab = ba	

______ Multiplicative Identity	
4.	A letter or other symbol used to represent one or several numbers.	

______ Additive Identity	
5.	
Tells how many times the base is used as a factor	

______ factor	
6.	An equation that shows the relationship between two or more variables	

______ Associative Property	
7.	
a(b+c)=ab+ac	

______ exponent	
8.	
zero	

______ Distributive Property	
9.	
one	

______ grouping symbol	
10.	
a+(b+c) = (a+b)+c	

	
Factoring completely	 
1	
Two numbers whose sum is zero.	
	
mantissa	
2	
The sum of the exponents of a term	
	
Trinomial square	
3	
The square of a binomial	
	
Additive inverses	
4	Either a numeral, a variable, or a product of numerals and variables with a whole number exponent 	
	
Scientific notation	
5	
Factoring until further factoring is no longer possible	
	
Degree of a term	
6	
A way of writing numbers using a mantissa and an exponent	
	Difference of two squares	
7	
A monomial or a sum of monomials	
	
factoring	
8	A number greater than of equal to 1 and less than ten used in scientific notation. 	
	
Polynomial	
9	Finding two expressions that, when multiplied together, give a product	
	
Monomial	
10	
Two terms, both squares, with a minus sign between the terms.	

Rewrite each expression using the distributive property. 
7(2n-4)

	4(9 – x)	
8(2n + 3 – 2y)

	10(2x – 6)	

Factor each expression 
18X + 54

	2Y + 18
	
6t + 42

	12x + 60	

Solve the following equations for the given variable. Show your work. 
X + 12 = 28

	7X = 96	

Use the following formulas. Show your work. 
Speed equals distance divided by time.
S = D / T where D = 360 miles and T = 9 hours	Area equals one-half base time height where base is six inches and height is eight inches.

	

Use the property of addition to solve the following problems:

 x + 5 = 31					z - 17 = -78

s   +  3/5 = 7/8					t –  3/8  =   2/3

Use the Multiplication Property to solve the following:
51 = 17X					–5h = 77

10j = 130 					(4/7)s = 40

Use the two-step process:

12x + 45 = 105				6x – 22 = 50

11r + 180 = 59					x/2  +  17 =  35 

Absolute value problems
| a|  = 12					| b| = 0

2 | d| = 17					5  |f| + 17 = 50

Use the property of addition to solve the following problems:
x + 5 > 31					z - 17 < -78

 
 
Use the Multiplication Property to solve the following:
51 < 17X					10j greater than or equal to -130

 

Use the two-step process:
12x + 45 > 105				3r+30 less than or equal to 72

 

Simplify
810 x 89  =				m7 x m3  = 

c6  /  c 2  =				a2b5  /  a4b3

Multiply or divide as indicated
(4a4b8)(2a4b2) =			15y8 / 3y2  = 

3B(2B + 17)				3C(C – 8)

(2B + 3)(B + 7)			(4A – 7)(2A + 9)

Write using scientific notation

3,230				0.000045

Write using standard notation:

4.78 x 108   				3.18 x 10-3   

Multiply, divide, or simplify as indicated
8-4 x 8-2  = 				(1/2)a6b3  x  (1/3)a-7b-2

(a3bn-5)2 				4c5 /  2c-3

(2D + 6)(2D –6)			(4L – 5)2

(3x + 7)2				(12r – 11)(12r + 11)

(3x + 4)(2x2 + 11x + 3)		(2x – 5)(3x2 + 2x – 7)