Download Algebra I Chapter 2 Test 05-06

Coordinate Algebra Take-Home Assessment Due Tuesday 8/20/13
Name:________________________
Standard P: prerequisites
Point Value 40 point.
Your score: _____ / 40
Simplify each of the following. Show any work that you cannot do in your head on notebook paper and,
when possible, check your answers using a scientific calculator. Write all answers in the blanks provided
on this sheet.
1 3
1) –28 – 14.32
2) –22 + 9
3) 
4) –8.4 ÷ 2
5 4
_______
________
_________
_________
5) 
5 3

6 8
_______
9) (–3)(–4)(–5)
_______
13) –2(3 · 4 – 2) + (3)(–4) – 15
_______
16) –(–2a – 7b + 3c)
6)
 12   4 
    
 13   15 
7)
________
_________
_________
11) 4[2(7 – 5) – 5 · 2]
12) –4(–3 + 2)
_________
_________
10) –7.5 – (–2.9)
________
14) –50 – {8 – 2[2 + 3(32)]}
_______________
22) –3(2m + 4n) – 2(m – 6n)
__________________
____________
18) –2x – 13x
________________
_______________
20) 9y – 5 + 6x – 4y – x – 3
21) 4y – 2 – 8x + y – (–2x)
___________________
________________
23) 2x – 5(x + 8)
24) 3x – 5(2x – 6) – (7 – 2x)
________________
_____________
Answer each of the following.
28) Evaluate (–4 – x)(–9 – y) for x = –4 and y = 3.
_________________
_________
17) 8(2x – 3y + 4)
Evaluate each of the following if a = –2, n = 5, m = 2, p = –4.
a p
2
25)
26) m  n  p
3
nm
  1

 10 
8) 5 2
15) (–16 ÷ 4 · 8) + 8 – 7
_________________
________________
19) –10m + 6m + m
 8  5 
   
 10  12 
________________
27)
np  am
m
________________
29) Evaluate (6 – m)(3 – h) for m = –6 and h = 6.
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*Review the following before moving on to page 2:
We can simplify the expression 3(x+5) to be the expression 3x + 15. This changes the problem from
multiplication of 2 factors, (3) and (x+5), to an addition problem with 2 terms, “3x” & “15.”
30) Rewrite this sum of 2 “terms” as a product of 2 “factors” (hint: use distributive property * over +)
9x + 12y
______________________________
31) Rewrite this sum/difference of 3 “terms” as a product of 2 “factors” (hint:distributive property * over +)
8x – 12y + 4 ________________________
32) Write a variable expression for “three less than twice a number” if the number is “n.”
__________
33) Write a variable expression for “the sum of a number and 5” if the number is “x.”
__________
Matching: Write the correct letter (from the choices below) in the blank.
34) Order of Operations
_________
35) Distributive Property of Multiplication over addition
__________
36) Commutative Property of (addition or multiplication). Circle which one was used.
__________
37) Associative Property of (addition or multiplication). Circle which one was used.
__________
38) Terms
________
39) Factors
________
40) Coefficients
________
Matching Choices…
A) The expression x2+3x + 5 has 3 parts that are being added. These 3 parts are called ____???_____.
B) When I add like terms in 2x + 4x , I am really using the distributive property of multiplication over
addition (2+4)x. This means for like terms I only add the ____???_______ of the variables.
C) I want to simplify 20 + 8 ÷ 4* 2. I need to divide, multiply, then add in order to follow the __???____.
D) x(x+2) = x2 + 2x illustrates the _____???_________
E) The algebraic expression “7xy” is a single term (one term) but it consists of 3 things called ___???__
which are multiplied together.
F) I can write my answer is “8 + x” or I can write my answer is “x + 8.” Why doesn’t it matter? _???_
G) I need to multiply 5(2x) so I rewrite it as (5*2)x and follow the order of operations. Why can I do
that? ___???__
BONUS: Extra credit 2 pts (you can do this … your grade could be 42/40 = 105%)
Simplify.
[7(x – 2) – 5] – [5(5x – 3) + 3] + [–3(x + 4) – 1]
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