Messmer High School                                  Name_________________________

Algebra, Chapter 1 test                                Date____________  Hour_________

Section C, Maximum 75 points.

 

Write the correct property from the following list next to each example ( two points each):

               Associative       Commutative      Identity          Distributive

5 + x = x + 5	(2 + 5 ) + 4 = 2 + ( 5 + 4)
4 x 1 = 4	8 + 0 = 8
3 x 6 = 6 x 3	(A x B) x C = A x (B x C)
8(n – 5) = 8n – 40

Matching: (two points each)

______ whole number	1.	Any number that can be expressed as a ratio of two integers
______ variable	2.	a+b = b+a and ab = ba
______ substituting	3.	Any natural number of zero
______ evaluate	4.	A letter or other symbol used to represent one or several numbers.
______ rational number	5.	a+(b+c) = (a+b)+c
______ factor	6.	The opposite of a given number
______ simplify	7.	one
______ exponent	8.	a(b+c)=ab+ac
______ base	9.	Tells how many times the base is used as a factor
______ grouping symbol	10.	Replace variables with values and simplify
______ like terms	11.	zero
______ Commutative Property	12.	Terms whose variable factors are exactly the same.
______ Multiplicative Identity	13.	Write an equivalent expression that is a product of two or more numbers or expressions.
______ Additive Identity	14.	Any number greater than zero
______ Associative Property	15.	Parentheses, Brackets, and Braces
______ Distributive Property	16	In exponential notation “N squared”, N

 

 

Write each expression using numbers and mathematical symbols then evaluate the expression giving a numerical result: (two points each)

Sixteen plus twenty divided by four	Two times ( x plus seven ) where x is twenty-five
Three times four plus eight times six	Three to the fourth power
Eighteen minus six times five	Three times n squared where n is four

 

Rewrite each expression in Standard English. Write out each word. The only permitted exceptions are the grouping symbols.(two points each)

3(R+1)	3 x 5 + 7
14 + 25 – 6	3Y( Y + 10)

 

Rewrite each expression in mathematical symbols using the distributive property(2 points each)

3(n-4)	6(8 – x)
7(2n + 3 – 2)	12(2x – 6)

 

Gather like terms, reduce or factor each expression

22/66	45ct/9c
27t + 36	2x + 48
100T + 12x + 200T + 75x	121c + 22c + 12d

 

 

 

Section A/B Required, 1 point per problem, Maximum 5 points, 5 points required for a total grade higher than 75 points.

Set up each problem using numbers and mathematical symbols. Solve each problem.

Five and one-half plus four and five-eighths	One-third plus one-fourth
Six and one-half minus ten	Negative two and one-half times four
Three-eighths divided by four-sevenths	Negative six times negative two

Section B, Maximum 10 points.

           
1. 34.6 plus 126 in the expanded form(5 points)




2. 78.2 minus 9.17 in the expanded form(5 points)



3. Fifteen scouts are preparing for a one-week camping trip. In preparing the food budget, the leader estimates that the daily food cost will be as follows: one dollar and sixty cents to purchase the ingredients for each scout’s breakfast, two dollars and twenty cents for each scout’s lunch, four dollars and fifty cents for each scout’s supper and a dollar a day, for each scout, for snacks. Write an algebraic expression showing the total food budget for each day. Write another expression showing the food budget for the entire week. Do not take the time to calculate the actual budget numbers.(5 points)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Section A, Maximum 10 points.

Write a short paragraph describing the order of operations for addition, subtraction, multiplication, division, and exponentiation. Include a discussion of grouping symbols and when to observe left-to-right order.