Question
1.
Graph the inequality. y > –2
a.
b.
c.
d.
2.
3x + 7 > 2x + 8
a.
b.
c.
d.
3.
Solve. Graph the solution set on a number line. 3x+4>2x-6. Choose the best description of the graph.
a. Shade right, open circle at -10
b. Shade left, open circle at -10
c. Shade right, closed circle at -10
d. Shade left, closed circle at -10
4.
Solve. 3x – 9 = 2x
a. 9
b. 10
c. –9
d. –10
5.
Find the slope of the line through the points (3, –6) and (10, 2).
a. -
b.
c. -
d.
6.
Find the y-intercept of the line represented by the following equation:
7x – y = –7
a. (1, 0)
b. (0, 7)
c. (7, 0)
d. (0, 1)
7.
Solve for x. x – 2 + 7x = 8x – 2
a. 0
b. 1
c. Identity
d. No solution
8.
Add these polynomials. (9y2-8)+(9y2-9)
a. 81y2-72
b. 81y4-72
c. 18y2-17
d. 18y4-17
9.
Combine like terms 8t + 10u – 9t
a. –t + 10u
b. 9tu
c. 18t – 9u
d. 9t + u
10.
A motorboat traveled 75 mi down river in 3 hrs. The return trip takes 5 hrs. What was the rate of the boat in still water? What was the rate of the current?
a. Boat in still water: 5 mi/hr; Current: 10 mi/hr
b. Boat in still water: 10 mi/hr; Current: 5 mi/hr
c. Boat in still water: 5 mi/hr; Current: 20 mi/hr
d. Boat in still water: 20 mi/hr; Current: 5 mi/hr
11.
Determine which two equations represent parallel lines.
(a) y = x + 4
(b) y = -x – 5
(c) y = 6x + 8
(d) y = 6x – 4
a. (a) and (b)
b. (b) and (c)
c. (a) and (d)
d. (c) and (d)
12.
Simplify and write your answer with only positive exponents.
a.
b.
c. y9
d. y4
13.
Which of these is a solution for 3x-y=12?
a. (0, -12)
b. (1, 9)
c. (2, -5)
d. (6, 0)
14.
Multiply. (–2.5)(20)
a. 50
b. –50
c. 5
d. –5
15.
During rush hour, Fernando can drive 25 miles using the side roads in the same time that it takes to travel 20 miles on the freeway. If Fernando's rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads.
a. 36
b. 38
c. 45
d. 47
16.
Are the following lines parallel, perpendicular, or neither?
L1 through (9, 2) and (3, –8)
L2 through (–3, 5) and (5, –1)
a. Parallel
b. Perpendicular
c. Neither
17.
Ricardo is 4 years less than twice as old as his sister. The sum of their ages is 20. How old is Ricardo?
a. 8
b. 10
c. 12
d. 14
18.
Simplify sqrt32.
a. 4sqrt2
b. 2sqrt2
c. 8sqrt2
d. 16sqrt2
19.
Simplify.
a.
b.
c.
d. 250
20.
Find the slope of the line through the points (9, 3) and (2, –6).
a. -
b.
c. -
d.
21.
Factor. 24x3 + 20x2
a. 4x2(6x + 20)
b. 4x2(6x + 5)
c. 24x2(x + 20)
d. 24x3(1 + 20x2)
22.
Use the quadratic formula to solve the following equation. 2x2 + 5x – 1 = 0
a.
b.
c.
d.
23.
Identify the property that is illustrated by the following statement. 10 + 16 = 16 + 10
a. Commutative property of addition
b. Associative property of addition
c. Distributive property
24.
The GCF of 6y + 3 is 3. The GCF of 10y + 12 is 2. Find the GCF of the product (6y + 3)(10y + 12).
a. 1
b. 30
c. ...
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Question1. Graph the inequality. y –2 a. b. c. d. .docx
1. Question
1.
Graph the inequality. y > –2
a.
b.
c.
d.
2.
3x + 7 > 2x + 8
a.
b.
c.
d.
3.
Solve. Graph the solution set on a number line. 3x+4>2x-6.
Choose the best description of the graph.
a. Shade right, open circle at -10
b. Shade left, open circle at -10
c. Shade right, closed circle at -10
d. Shade left, closed circle at -10
4.
Solve. 3x – 9 = 2x
a. 9
b. 10
c. –9
d. –10
5.
Find the slope of the line through the points (3, –6) and (10, 2).
a. -
b.
2. c. -
d.
6.
Find the y-intercept of the line represented by the following
equation:
7x – y = –7
a. (1, 0)
b. (0, 7)
c. (7, 0)
d. (0, 1)
7.
Solve for x. x – 2 + 7x = 8x – 2
a. 0
b. 1
c. Identity
d. No solution
8.
Add these polynomials. (9y2-8)+(9y2-9)
a. 81y2-72
b. 81y4-72
c. 18y2-17
d. 18y4-17
9.
Combine like terms 8t + 10u – 9t
a. –t + 10u
b. 9tu
c. 18t – 9u
d. 9t + u
10.
A motorboat traveled 75 mi down river in 3 hrs. The return trip
takes 5 hrs. What was the rate of the boat in still water? What
3. was the rate of the current?
a. Boat in still water: 5 mi/hr; Current: 10 mi/hr
b. Boat in still water: 10 mi/hr; Current: 5 mi/hr
c. Boat in still water: 5 mi/hr; Current: 20 mi/hr
d. Boat in still water: 20 mi/hr; Current: 5 mi/hr
11.
Determine which two equations represent parallel lines.
(a) y = x + 4
(b) y = -x – 5
(c) y = 6x + 8
(d) y = 6x – 4
a. (a) and (b)
b. (b) and (c)
c. (a) and (d)
d. (c) and (d)
12.
Simplify and write your answer with only positive exponents.
a.
b.
c. y9
d. y4
13.
Which of these is a solution for 3x-y=12?
a. (0, -12)
b. (1, 9)
c. (2, -5)
d. (6, 0)
14.
Multiply. (–2.5)(20)
a. 50
b. –50
c. 5
4. d. –5
15.
During rush hour, Fernando can drive 25 miles using the side
roads in the same time that it takes to travel 20 miles on the
freeway. If Fernando's rate on the side roads is 9 mi/h faster
than his rate on the freeway, find his rate on the side roads.
a. 36
b. 38
c. 45
d. 47
16.
Are the following lines parallel, perpendicular, or neither?
L1 through (9, 2) and (3, –8)
L2 through (–3, 5) and (5, –1)
a. Parallel
b. Perpendicular
c. Neither
17.
Ricardo is 4 years less than twice as old as his sister. The sum
of their ages is 20. How old is Ricardo?
a. 8
b. 10
c. 12
d. 14
18.
Simplify sqrt32.
a. 4sqrt2
b. 2sqrt2
c. 8sqrt2
d. 16sqrt2
19.
5. Simplify.
a.
b.
c.
d. 250
20.
Find the slope of the line through the points (9, 3) and (2, –6).
a. -
b.
c. -
d.
21.
Factor. 24x3 + 20x2
a. 4x2(6x + 20)
b. 4x2(6x + 5)
c. 24x2(x + 20)
d. 24x3(1 + 20x2)
22.
Use the quadratic formula to solve the following equation. 2x2
+ 5x – 1 = 0
a.
b.
c.
d.
23.
Identify the property that is illustrated by the following
statement. 10 + 16 = 16 + 10
a. Commutative property of addition
b. Associative property of addition
c. Distributive property
24.
6. The GCF of 6y + 3 is 3. The GCF of 10y + 12 is 2. Find the
GCF of the product (6y + 3)(10y + 12).
a. 1
b. 30
c. 6
d. 5
25.
Peanuts sell for $3 per pound and raisins sell for $5 per pound.
How much of each is needed to create 20 lb of a mixture that
would sell for $3.50 per pound?
a. 17 lb peanuts, 3 lb raisins
b. 3 lb peanuts, 17 lb raisins
c. 15 lb peanuts, 5 lb raisins
d. 5 lb peanuts, 15 lb raisins
26.
Perform the indicated division. Rationalize the denominator, if
necessary. Then, simplify.
a. 3
b. 2
c.
d. 2
27.
Determine which of the ordered pairs is a solution for the
equation 3x – 5y = 15.
a. (0, 3)
b. (–5, 0)
c. (–5, –3)
d. (0, –3)
28.
Write in simplest form.
a.
7. b.
c.
d.
29.
Solve for x. (x – 5)2 = 3
a.
b.
c. -5
d. 5
30.
Write 12/20 in simplest form.
a. 6/10
b. 6/20
c. 3/10
d. 3/5
31.
Fill in the blank: A polynomial is ________ a binomial.
a. never
b. sometimes
c. always
32.
The base of a 17-ft ladder is 7 feet away from the wall. How far
above the floor is the top of the ladder? Give your answer to the
nearest thousandth.
a. 13.360 feet
b. 15.492 feet
c. 17.793 feet
d. 14.471 feet
33.
One number is 12 more than another. The sum of the smaller
number and twice the larger number is 39. Find the larger
8. number.
a. 5
b. 7
c. 17
d. 34
34.
Write in descending order and give the degree. 8 – x
a. x – 8; 1
b. x – 8; 0
c. –x + 8; 1
d. –x + 8; 0
35.
Find the GCF for 7 and 26.
a. 1
b. 7
c. 26
d. 182
36.
Solve for x. x2 + 5 = 30
a.
b.
c.
d.
37.
Perform the indicated operations.
a.
b.
c.
d.
38.
Solve.
9. a. 1
b. -3
c. -5
d. No solution
39.
A chemist has a 35% and a 15% acid solution. How much of
each solution should be used to form 50 mL of a 31% solution?
a. 8 mL of the 35% solution, 42 mL of the 15% solution
b. 42 mL of the 35% solution, 8 mL of the 15% solution
c. 40 mL of the 35% solution, 10 mL of the 15% solution
d. 10 mL of the 35% solution, 40 mL of the 15% solution
40.
Factor. 16x3 + 36x2
a. 4x2(4x + 36)
b. 4x2(4x + 9)
c. 16x2(x + 36)
d. 16x3(1 + 36x2)
41.
Evaluate. 12 ÷ 2 – 6 ÷ 3
a. 3
b. 4
c. 5
d. 6
42.
Solve by completing the square. x2 + 12x + 32 = 0
a. 8, 4
b. –8, 4
c. 8, –4
d. –8, –4
43.
Give the coordinates of the point graphed below.
10. a. (5, –4)
b. (–4, 5)
c. (4, –5)
d. (–5, 4)
44.
Write the equation of the line that passes through point (0, –5)
with a slope of –6.
a. y = –5x – 6
b. –5x – 6y = 0
c. y = –6x – 5
d. –6y = –5
45.
Solve the following system by adding.
-0.1x + 0.8y = -15.5
0.9x + 0.1y = -13.8
a. (–13, –21)
b. (–130, –210)
c. (–21, –13)
d. (–210, –130)
46.
One day, the temperature at 7:00 A.M. was 41°F, and by 3:00
P.M. the temperature was 57°F. What was the hourly rate of
temperature change?
a. 1°F/h
b. 2°F/h
c. 3°F/h
d. 4°F/h
47.
Write the equation of a line with a slope of 5 and a y-intercept
of -3.
a. y=1/5x+3
11. b. y=5x+3
c. y=5x-3
d. y=1/5x-3
48.
Write the equation of the line passing through (–3, –4) and (–3,
–3). Write your results in slope-intercept form, if possible.
a. x = –3
b. y = –3
c. y = x – 3
d. y = x
49.
The inventor of a new product believes that the cost of
producing the product is given by the function C(x) = 1.45x +
5,000 How much does it cost to produce 6,000 units of his
invention?
a. $700
b. $7,000
c. $13,700
d. $1,370
50.
Use the Pythagorean theorem to determine the length of the line
segment. Round to the nearest hundredth.
a. 6.44
b. 6.22
c. 5.47
d. 5.39
0
0
20. 0
Title
ABC/123 Version X
1
Research-Driven Long, Formal Report Instructions
ENG/223 Version 1
1
University of Phoenix Material
Research-Driven Long, Formal Report Instructions
Select a topic for your assignment from the list of potential
recommendations below:
Expansion of a business (retail, food, services, and so on) to
another location(s)
Improving a firm’s sales and profit
Improving a company’s customer services
Implementing flexible scheduling
Reduction of business costs
Implementing sustainability measures across the company
Informal dress-down Fridays
Technology (software and hardware) changes across the
company
A business or workplace problem developed using the Virtual
Organizations site
Another topic as approved by your instructor
Part I
Write a 1,750- to 2,450500-750-word Research-Driven Long,
21. Formal Report (follow the model offered in Ch. 18 of
Workplace Writing) that proposes a change to the workplace or
proposes a new initiative using the components of ethical
business communication.
Your report should look similar to the example in Ch.18 of
Workplace Writing. It must include the following headings:
List of illustrations
Abstract
Introduction
Discussion
Conclusion/Recommendation
Glossary
References
Note. The cover page and references pages will not count
toward your final word count.
Format your paper consistent with APA guidelines.
Part II
Create a 10- to 15-slide presentation, including detailed
presenter notes, (using Microsoft® PowerPoint®, Prezi, or
another presentation software as approved by your instructor) to
accompany your written report. Include any relevant data or
visuals from your report or other sources to support your
claims. Format and cite consistent with APA guidelines.
You may wish to refer to the University of Phoenix Material:
Help With Microsoft® PowerPoint® Assignments as a resource
for designing your presentation.
Format your citations in your speaker notes consistent with
APA guidelines.