MATH 102 College Algebra Final - Fall 2019 Form B MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the slope -intercept form of the line satisfying the given conditions. 1) Through (-9,7) and (-4, 1) 6 19 16 69 6 19A)y=.xT B)y=Tx~T C)y=. -x ---- Solve. 2) 9x-3 7x-1 8+ 4 3 5 A) {-Vg} B) --} C){.4.} 16 69 D) y = TX + 1) 2) Solve the problem. 3) How many liters of a solution that Is 10% alcohol must be mixed with 60 liters of a solution that is 3) 80% alcohol to get a solution that is 40% alcohol? A)8L B)80L C)140L D)14L Find the domain and the range for the function. 4) B) D: (-os, co), R: [0, co) D) 0: [0, os), R: (-co4J 4) 1 A) D:( -co,4], R[0, co) C) D:(_oo,4],R:[4,co) Determine the intervals on which the function is increasing, decreasing, and constant. 5) 5) _________ A) Increasing on (0, ); Decreasing on (-, 0) B) Increasing on (co, 0); Decreasing on (0, _e) C) Increasing on (_co, 0); Decreasing on (0 ') D) Increasing on (-, 0); Decreasing on (_co, 0) Determine the symmetry of the graph. 6) A) x-axis, origin B) Origin C) x -axls D) y-axis 6) Give the equation of the function whose graph is described. 7) The graph of y = x2 Is shifted 2 units to the right. This graph Is then vertically stretched by a factor 7) of 5 and reflected across the x -axls. Finally, the graph is shifted 7 units upward. A) y= -5(x+ 7)2 + 2 B) y= -5(x - 2)2_i C)y= -5(x-2)2+7 . D)y= -5(x -f-2)2+7 The graph is a translation of y .ji Find the equation that defines the function. 8) A)y=../+4 B)y=J+4 C)y=.J Solve the equation. 9) I8x + 3j + 4 = 12 A)JQ} B){*..J} C){.fJ} Solve the inequality. Write your answer in interval notation. 10)17 - xl 5 A) [12, cc) B) E2, 12] C) [2, D) y = D) (-cc, 2] U [12, c) 8) __________ 9) 10) 3 Graph the function. 1l)f(x)-" lfx>O 2 ifxO A) C) L] Find the requested composition or operation. 12)f(x)=8x+15,g(x)=5x- 1 Find (f og)(x). A) 40x + 14 B) 40x + 74 C) 40x + 7 Write the number in simplest form, without a negative radicand. 13)/ A) I B) lOi C) -4kfi 11) ___________ 12) D) 40x + 23 13) D)4kfi Simplify the power of i. 14) 463 14) _______A) -i B)-1 C)i D)1 Identify the vertex of the parabola. 15) P(x) = 2x2 - 28x + 107 A) (7,0) B) (9,0) C) (9,7) D) (79) 15) 4 Solve. 16)(x -l0)2'81 16) ______ A)(1,19} B)(19) C)(-1-19) D){-71) 17)x2=12+5x 17) 5±I __ A) (5 ± kJ5> B) (5, 12> C) { 2 D) {5 ±_.fi} Solve the inequality. Write your answer in interval notation. 18)x2 -5x+6~O 18) A) (-co,2] B) [2,3] C) [3, o) D) (_oo,2] u[3, Solve the problem. 19) A farmer has 1200 feet of fence with which to fence a rectangular plot of land. The plot lies along a 19) river so that only three sides need to be fenced. Estimate the largest area that can be fenced. A) 216,000 ft2 B) 180,000 ft2 C) 144,000 ft2 D) 270,000 ft2 20) A ladder is resting against a wall. The top of the ladder touches the wall at a height of 18 ft. Find 20) the length ...

1. MATH 102 College Algebra
Final - Fall 2019
Form B
MULTIPLE CHOICE. Choose the one alternative that best
completes the statement or answers the question.
Find the slope -intercept form of the line satisfying the given
conditions.
1) Through (-9,7) and (-4, 1)
6 19 16 69 6 19A)y=.xT B)y=Tx~T C)y=. -x ----
Solve.
2) 9x-3 7x-1 8+
4 3 5
A) {-Vg} B) --}
C){.4.}
16 69
D) y = TX +
1)
2)
Solve the problem.
3) How many liters of a solution that Is 10% alcohol must be
mixed with 60 liters of a solution that is 3)

2. 80% alcohol to get a solution that is 40% alcohol?
A)8L B)80L C)140L D)14L
Find the domain and the range for the function.
4)
B) D: (-os, co), R: [0, co)
D) 0: [0, os), R: (-co4J
4)
1
A) D:( -co,4], R[0, co)
C) D:(_oo,4],R:[4,co)
Determine the intervals on which the function is increasing,
decreasing, and constant.
5) 5) _________
A) Increasing on (0, ); Decreasing on (-, 0)
B) Increasing on (co, 0); Decreasing on (0, _e)
C) Increasing on (_co, 0); Decreasing on (0 ')
D) Increasing on (-, 0); Decreasing on (_co, 0)
Determine the symmetry of the graph.
6)
A) x-axis, origin B) Origin C) x -axls D) y-axis
6)
Give the equation of the function whose graph is described.

3. 7) The graph of y = x2 Is shifted 2 units to the right. This graph
Is then vertically stretched by a factor 7)
of 5 and reflected across the x -axls. Finally, the graph is
shifted 7 units upward.
A) y= -5(x+ 7)2 + 2 B) y= -5(x - 2)2_i
C)y= -5(x-2)2+7 . D)y= -5(x -f-2)2+7
The graph is a translation of y .ji Find the equation that defines
the function.
8)
A)y=../+4 B)y=J+4 C)y=.J
Solve the equation.
9) I8x + 3j + 4 = 12
A)JQ} B){*..J} C){.fJ}
Solve the inequality. Write your answer in interval notation.
10)17 - xl 5
A) [12, cc) B) E2, 12] C) [2,
D) y =
D) (-cc, 2] U [12, c)
8)
__________
9)

4. 10)
3
Graph the function.
1l)f(x)-" lfx>O
2 ifxO
A)
C) L]
Find the requested composition or operation.
12)f(x)=8x+15,g(x)=5x- 1
Find (f og)(x).
A) 40x + 14 B) 40x + 74 C) 40x + 7
Write the number in simplest form, without a negative radicand.
13)/
A) I B) lOi C) -4kfi
11)
___________
12)
D) 40x + 23
13)
D)4kfi

5. Simplify the power of i.
14) 463
14)
_______A) -i B)-1 C)i D)1
Identify the vertex of the parabola.
15) P(x) = 2x2 - 28x + 107
A) (7,0) B) (9,0) C) (9,7) D) (79)
15)
4
Solve.
16)(x -l0)2'81 16)
______
A)(1,19} B)(19) C)(-1-19) D){-71)
17)x2=12+5x 17)
5±I
__
A) (5 ± kJ5> B) (5, 12> C) { 2 D) {5 ±_.fi}
Solve the inequality. Write your answer in interval notation.
18)x2 -5x+6~O 18)
A) (-co,2] B) [2,3] C) [3, o) D) (_oo,2] u[3,

6. Solve the problem.
19) A farmer has 1200 feet of fence with which to fence a
rectangular plot of land. The plot lies along a 19)
river so that only three sides need to be fenced. Estimate the
largest area that can be fenced.
A) 216,000 ft2 B) 180,000 ft2 C) 144,000 ft2 D) 270,000 ft2
20) A ladder is resting against a wall. The top of the ladder
touches the wall at a height of 18 ft. Find 20)
the length of the ladder if the length is 6 ft more than its
distance from the wall.
A) 18 ft B) 24 ft C) 36 ft D) 30 ft
The function has a real zero between the two numbers given.
Use your calculator to approximate the zero to the nearest
hundredth.
21) y = x2 + 7.9x + 15.6025; -5 and -3 21)
A) -4.25 B) -4 C) -3.999 D) -3.95
-
Find the complete quotient when P(x) is divided by the binomial
following it.
22) P(x) = x4 + 625; x - 5
A)x3_5x2+25x_125+J_ B)x3+5x2+25x~125+J...
x-5 x-5
C) x3+5x2+25x+ 125 D) x3 +5x2~25x~125+ -.5
One zero of the polynomial is given. Find all remaining zeros.

7. 23) P(x) = 7x3 + 26x2 + 22x - 4; -2
A) ---- B)
-12 + -12-
7' 7 7
,
7
D)6J -6-[
7
,
7 14
'
14
22)
23)
________
Find all the zeros of the polynomial.
24)P(x)=X3~3X2 -5X-39 24)
A)3,2+i,2-i B)3, -3+Jã -3-'J
D)3-3+21-3-21
Eplain how the graph off can be obtained from the graph of y
25) f(x) = 25) ________

8. A) Shift the graph of y =! to the right 2 units and upward 13
units.
B) Stretch the graph of y = vertically by a factor of 2 and shift
to the left 13 units.
C) Stretch the graph of y =! vertically by a factor of 13 and
shift to the left 2 units.
D) Shift the graph of y = to the left 13 units and downward 2
units.
Give the equations of any asymptotes of the type specified for
the graph of the rational function.
8x+826) f(x)
3x - 7
vertical
A)x=- B)x=4 C)x=.} D)x=-+
x2 + 6x _7; blique 27)27) f(x) = o
x-2
A)x=y+8 B)y=x -7 C)y=x+8 D)None
Solve the equation.
28)1~.2_= 28)
______x ________
A)-7,6 B)7,6 C)_ --j D)7,-6
Solve the rational inequality. Write your answer in interval
notation.

9. 29). --g>O 29)
A)[=4) B)[=] C)(o)
6
Solve the problem.
30) The time it takes to complete a certain Job varies Inversely
as the number of people
working on that 30) ______
job. If it takes 32 hours for 11 carpenters to frame a house, then
how long will it take 56
carpenters
to do the same job? Round to the nearest tenth when necessary.
A) 6.3 hours B) 19.3 hours C) 40 hours D) 56 hours
1ff is one-to-one, find an equation for its inverse.
31)
______31) f(x) = x3 - 1
A) Not a one-to-one function B) f-1 (x) =
C) f-1(x) = D) f-1(x) = 1
Solve the equation.
32)
______32) 3(6 -3x),..L
27

10. A) (-3) B) (3) C) {.} D) (9)
33) Iog 81 =4
33)
A) (3) B) (20) C) (324) D) (85)
34) log5 x = 3
34)
A) (243> 8) (1 > C) (125> D) (8>
Write as a single log.
35) Iog x - loge y+5 loge z
35)
A) Iog xz5y B) loge .- C) Iog ..f. D) loge
Expand.
36) 10g5 .g.j
36)
A) 10g52 + 10g5p - 1 - 10g5k B) 10g52p
- log5k
C)
Iog2 + logp D)
10g5210g5p
1 + 10g5k 1og5k
7

11. Find the domain of the function.
37) f(x) = log (x + 6) 37) ______
B)(0,0) C)(1=) D)(6.)
Solve the equation. Round to the nearest thousandth.
38) 19(3-x) = 30
38)
-
A) (-1.421) B) (1.845) C) (3.866) D) (1.421)
Solve the equation and express the solution in exact form. 39)
_______39) Iog4 (x- 6) + 10g4 (x- 6) 1
A) (-8,8> B) (J> C) (8> D)
40)
_______40) log 4x = log 3 + log (x + 4)
A) B) C) (12> D) (- 12>
8
Page 4 of 4
Hour of Code
Earn a certificate of completion from Hour of Code
Hour of Code (HOC) is a web site where you will complete a
one-hour introduction to computer science. It is designed to
explain code and show that anyone can learn programming

12. basics. Since we are focusing on software during this course
segment, you will see what is involved in the process of
creating program, "apps." Here is the link to the general HOC
website:
Here's the link:
https://code.org/
You are going to complete the Processing Foundation - Hello
Processing, module. Here is the link to this Module:
https://hourofcode.com/processfound
It has a video that will guide you through writing software to do
the things that you often do with your hands: create drawings,
create animations or to create images.
Pausing the video when the instructor asks you to type code will
help.
Come up with an original creation, it should not look like this
example. You should paste a screen shot of your creation after
each section of the tutorial (Shapes, Color and Interact, and
Questions). Use your favorite colors and try to create one of
your favorite images. Paste your original screen shots below my
examples.
After Shapes:
After Color:
After Interact:
After Questions: (with the mouse down)

13. Final step:
1. Continue to edit your code as much as you would like on your
original image.
2. Make sure your last block of code includes elements from
each section of the tutorial.
3. When you finish, click the Share button.
4. At the Confirm dialog box hit Continue. It is your choice
whether or not you want to, “Share in gallery.”
5. Copy the link in the next dialog box and pate it into a Word
document that I can see your final creation.
6. In that document also past a copy of your last block of code.
7. I will run your block to make sure it creates the same image.
8. Finally, paste a screen shot of after you finish the Questions
section. Make sure I can see the date and time in the status area
of your screen shot. Submit this document into the Blackboard
assignment link.
9. Upload your certificate of completion in Blackboard
assignment link.
Name Class
Bubble Answer Sheet
Date
2.®®®® 36.®®®®
20.®®®®
21.®®®® 38.®®®®

14. 22.®®®®
6.®®®® 23.®®®® 40.®®®®
24.®®®®
42.®®®®
26.®®®®
27.®®®® 44.®®®®
II.®®®® 28.®®®®
I2.®®®® 29.®®®® 46.®®®®
'4.®®®® 48.®®®®
32.®®®®
50.®®®®
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CD
CD
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Multiple-Use Classroom Resources 46