Messmer High School                                  Name_________________________

Algebra, Chapter 1 test                               

Section C, Maximum 75 points.                 Date____________  Hour_________

 

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

 

               Associative       Commutative      Identity          Distributive

 

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

 

 

 

Matching: (two points each)

______ formula	1.	Write an equivalent expression that is a product of two or more numbers or expressions.
______ variable	2.	a+b = b+a and ab = ba
______ dimensional analysis	3.	Parentheses, Brackets, and Braces
______ evaluate	4.	A letter or other symbol used to represent one or several numbers.
______ Additive Identity	5.	a+(b+c) = (a+b)+c
______ factor	6.	An equation that shows the relationship between two or more variables
______ Associative Property	7.	one
______ exponent	8.	a(b+c)=ab+ac
______ Distributive Property	9.	Tells how many times the base is used as a factor
______ grouping symbol	10.	Replace variables with values and simplify
______ Multiplicative Identity	11.	zero
______ Commutative Property	12.	Carrying the dimensions through a computation

 

 

 

 

Write each expression using numbers and mathematical symbols . Use the letter “x” for a variable. (three points each)

Five more than some number	Two times (some number plus seven )
Three times some number plus eight	Some number to the fourth power

Rewrite each expression in Standard English. Where there is a variable, write “some number”, as in the previous set. Write out each word. The only permitted exceptions are the grouping symbols.. (three points each)

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

Rewrite each expression using the distributive property. (three points each)

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

Factor each expression (three points each)

18X + 38	2Y + 12
9t + 36	12x + 48

Solve the following equations for the given variable. Show your work to get full credit. ( three points each)

X + 12 = 25

7X = 77

Use the following formulas. Show your work with the appropriate dimensions to receive full credit. ( three points each)

Speed equals distance divided by time. S = D / T where D = 360 miles and T = 6 hours

Area equals one-half base time height where base is four inches and height is eight inches.

Section A/B Required, 3 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 for x.

One-half of X equals three-eighths.

X plus one-half equals one.

 

Section B, Maximum 10 points.

            Chris had an excellent basketball game. During the game Chris scored twelve regular “baskets”, eight foul shots and three three-point baskets. Write an algebraic expression or formula that shows how to calculate the number of total points scored. (5 points)

 

 

 

 

 

 

 

Set up and show expanded addition for 749 + 893 ( 5 points)

 

 

 

 

 

 

 

Set up an show expanded subtraction for 685 – 379 ( 5 points)

 

 

 

 

 

 

 

Section A, Maximum 10 points.

Write a short paragraph describing the identity, associative, commutative and distributive properties of Algebra. One correct sentence about each property will be enough.