MTHH 022 256 Pinecrest Preparatory Academy Unit 6 Evaluation Evaluation 06 Pre Algebra 2

Name
_________________________________
I.D. Number
_______________________
Unit 6 Evaluation
Evaluation 06
Pre-Algebra 2
(MTHH 022 256)
This evaluation will cover the lessons in this unit. It is open book, meaning you can use your
textbook, syllabus, and other course materials. You will need to understand, analyze, and apply the
information you have learned in order to answer the questions correctly. To submit the evaluation by
mail, follow the directions on your Enrollment Information Sheet. To take the evaluation online,
access the online version of your course; use the navigation panel to access the prep page for this
evaluation and follow the directions provided. Note: Only a four-function calculator may be used on
unit evaluations. You may also use scratch paper to work out the solutions.
Multiple-Choice
Select the response that best completes the statement or answers the question.
_____
_____
_____
1. If the first term of an arithmetic sequence is 35 and the fifth term is 67, what is the third
term?
a.
43
b.
51
c.
59
d.
75
2. If the rule for a sequence is “start with –7 and multiply by –2 repeatedly,” what is the
fourth term in the sequence?
a.
–112
b.
–56
c.
56
d.
112
3. Determine the value of y in y  0.2(3) x if x = 2.
Unit 6 Evaluation
a.
1.2
b.
1.8
c.
0.36
d.
0.12
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Use this graph to answer problems 4–6.
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_____
_____
4. What type of function is shown by this graph?
a.
quadratic
b.
linear
c.
area
d.
absolute value
5. Which of the following points is not on the graph?
a.
(0, –2)
b.
(–2, 0)
c.
(1, –2)
d.
(1, –1)
6. Which of the following functions matches the graph?
a.
y  2 x
b.
c.
y  x2  2
y  x2
d.
y  x 2
x
 1
_____ 7. Determine the value of y in y  3   , if x = 2.
3
a.
3
b.
2
1
c.
3
d.
Unit 6 Evaluation
1
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_____
_____
8. Determine the value of y in y  3 x 2  6 , if x = 2.
a.
6
b.
18
c.
0
d.
12
9. Determine the value of y in y  4 x  1, if x = 2.
a.
5
b.
7
c.
8
d.
9
Use the following to answer questions 10 and 11:
Use the formula B = p(1.03)n to find the balance B (in dollars and cents) for a given principal
p invested at a compound interest rate of 3% for n years.
_____ 10. $5.00 invested for 5 years?
a.
$7.35
b.
$25.75
c.
$36.22
d.
$5.80
_____ 11. $2.00 invested for 10 years?
a.
$3.56
b.
$13.76
c.
$2.69
d.
$20.60
_____ 12. Which of the following statements is not true?
Unit 6 Evaluation
a.
A monomial is a polynomial.
b.
A binomial is a sum or difference of two monomials.
c.
A polynomial must have more than one term.
d.
An integer is a monomial.
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1
b1h 
1
b2 h , where h is the height and b1 and b2 are the
2
2
lengths of the bases. What is the area of a trapezoid with a height of 13 in., where one
base is 4 in., and the second base is twice as long as the first base?
_____ 13. The area of a trapezoid is
a.
39 in.2
b.
52 in.2
c.
78 in.2
d.
130 in.2
_____ 14. If x is an integer, what would be the sum of x and the next two integers?
a.
x + 2x + 3x
b.
x+x+1+x+2
c.
x3 + x2 + x
d.
x+y+1+z+2
_____ 15. If x is an integer, what would be the sum of x and the previous two integers?
a.
x+x–1+x–2
b.
x–x–1–x–2
c.
x+x+1+x+2
d.
x + 2x + 3x
_____ 16. The length of a rectangular table is 35 inches greater than twice its width. If x is the
width, what is the area of the table?
a.
2×2 + 35x
b.
x + 35
c.
2x + 35
d.
2×2 + 35
_____ 17. Which of the following polynomials is the simplified form of −3y(−6y2 – 5y + 1)?
a.
18y 3  15y 2  3y
b.
18y 2  15y  3
c.
18y 3  15y 2  3y
d.
18y 2  15y  3
_____ 18. If m is an even integer, what would be the product of the next two consecutive even
integers?
a.
b.
c.
d.
Unit 6 Evaluation
m 2  3m  2
m 2  6m  8
m2  2m
2m  6
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_____ 19. If the length of a rectangular picture is (2x + 3) inches and the width is (x – 4) inches,
which of the following expressions represents the area of the picture?
a.
2x 2  5x  12 in.2
b.
2x 2  3x  12 in.2
c.
2x 2  8 x  12 in.2
d.
2x 2  5 x  12 in.2
_____ 20. What is the product of (x – 3)(x + 3)?
a.
b.
c.
d.
x2
x2
x2
x2
 6x  9
 6x  9
9
9
_____ 21. A house lot measures 75 ft by 100 ft. Except for where the house sits, the lot is all
planted into a lawn of grass. The house measures 30 ft by 50 ft. What is the area of the
lawn?
a.
1,500 ft2
b.
6,000 ft2
c.
7,500 ft2
d.
8,000 ft2
_____ 22. The expression 5y 2  3y  x is…
a.
a monomial.
b.
a binomial.
c.
not a polynomial.
d.
a trinomial.
_____ 23. Evaluate 5m – 2n for m = –3 and n = –2.
a.
–19
b.
–11
c.
19
d.
11
_____ 24. Simplify: (4x + 1) + (–3x + 9)
Unit 6 Evaluation
a.
x + 10
b.
7x – 8
c.
7x + 10
d.
x–8
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_____ 25. Simplify: (b2c  7bc  3)  (12b2c  2bc  5)
a.
b.
c.
d.
11b2c  9bc  8
11b2c  9bc  8
13b2c  5bc  2
11b2c  5bc  2
_____ 26. Simplify: 3fg (f 2g  5f  4)
a.
3f 2g 2  15fg  12
b.
3f 3g 3  15f 2g  12
c.
3f 3g 2  15f 2g  12
d.
3f 3g 2  15f 2g  12fg
_____ 27. The expression xyz is…
a.
a trinomial.
b.
a binomial.
c.
a monomial.
d.
not a polynomial.
_____ 28. Evaluate the polynomial x 2  xy  y 2 , when x = 4 and y = 10.
a.
–44
b.
44
c.
28
d.
–28
_____ 29. Simplify the difference: ( x 2  10 x  9)  ( x 2  x  1)
a.
2x 2  9 x  8
b.
9x + 8
c.
d.
11x + 10
2x 2  9 x  8
_____ 30. Simplify the product: (x – 2)(x – 3)
a.
b.
c.
d.
Unit 6 Evaluation
x2
x2
x2
x2
6
6
 5x  6
x6
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_____ 31. What is the common ratio of this geometric sequence? 6, 24, 96, 384, …
a.
add 18
b.
multiply 6
c.
multiply 4
d.
divide 4
_____ 32. What shape will this graph make AND which direction will it go? y   x 2  3
a.
V-shape, down
b.
V-shape, up
c.
U-shape, down
d.
U-shape, up
_____ 33. Which function will the point (3, 9) be on the graph of?
a.
y  3x
b.
y  x3
c.
d.
 1
y  3 
3
x
y 3
3
_____ 34. Evaluate this polynomial: 7m + 6p given m = 21, and p = 28.
a.
62
b.
315
c.
637
d.
952
_____ 35. Simplify this sum: ( x 2  2y  5)  (4 x  4y )
a.
x 2  4 x  6y  5
b.
4x 2  6y  5
c.
4 x 2  2y  5
d.
x 2  4 x  2y  5
1 
1
_____ 36. Simplify this product: 12ab  b  a3 
4 
2
a.
b.
c.
d.
Unit 6 Evaluation
6ab2  3a4b
10ab2  9a3 b
24ab2  48a4b
6b2  3a4
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_____ 37. Use the GCF of the terms to write this expression as a product of 2 factors:
x3 y 2  x2 y 3  x 4 y
a.
x( y 2  y 3  y )
b.
x 2 y ( xy  y 2  x 2 )
c.
x 4 y 3 ( xy  x 2  y 2 )
d.
xy ( x 2 y  xy 2  x 3 )
_____ 38. Simplify this product: ( y  7)( y  6)
b.
y 2  y  42
2 y  13
c.
y 2  13y  42
d.
y 2  13y  42
a.
_____ 39. What is the common difference of this sequence? 3, 5.8, 8.6, 11.4, …
a.
add 3
b.
add 2.8
c.
subtract 2
d.
multiply 1.2
_____ 40. Which equation represents exponential decay?
a.
y  50(0.2)x
b.
y  2.5(2)x
c.
y 
d.
1
(3)x
4
y  0.2(50)x
Carefully check your answers on this evaluation and make any corrections you feel are
necessary. When you are satisfied that you have answered the questions to the best of your
ability, transfer your answers to an answer sheet. Please refer to the information sheet that
came with your course materials.
Unit 6 Evaluation
MTHH 022