1) The document is an algebra II study guide containing 50 problems covering various algebra topics including properties, evaluating expressions, solving equations and inequalities, graphing lines and parabolas, working with complex numbers, and other concepts.
2) Many of the problems ask students to reference the specific section of their textbook that covers the relevant concept. The responses provide the answer and cite the textbook reference.
3) The study guide provides practice with essential algebra skills and will help students prepare for an exam or further study of advanced algebra topics.
Final Exam Name___________________________________Si.docxcharlottej5
Β
Final Exam Name___________________________________
Silva Math 96 Spring 2020
YOU MUST SHOW ALL WORK AND BOX YOUR ANSWERS FOR CREDIT. WORK ALONE.
Solve the absolute value inequality. Write your answer
in interval notation.
1) |2x - 12 |> 2
Solve the compound inequality. Graph the solution set.
Write your answer in interval notation.
2) -4x > -8 and x + 4 > 3
Solve the three-part inequality. Write your answer in
interval notation.
3) -1 < 3x + 2 < 14
Solve the absolute value equation.
4) 4x + 9 = 2x + 7
Solve the compound inequality.
5) 3( x + 4 ) β₯ 0 or 4 ( x + 4 ) β€ 4
Solve the inequality. Graph the solution set and write
your answer in interval notation.
6) |5k + 8| > -6
Solve the inequality graphically. Write your answer in
interval notation .
7) x + 3 β₯ 1
x-8 -6 -4 -2 2
y
8
6
4
2
x-8 -6 -4 -2 2
y
8
6
4
2
1
Graph the system of inequalities.
8) 2x + 8y β₯ -4
y < - 3
2
x + 6
x-10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
Find the determinant of the given matrix.
9) 10 5
0 -4
Use Cramer's rule to solve the system of linear
equations.
10) 6x + 5y = -12
2x - 2y = -4
Write a system that models the situation. Then solve the
system using any method. Must show work for credit.
11)A vendor sells hot dogs, bags of potato chips,
and soft drinks. A customer buys 3 hot dogs,
4 bags of potato chips, and 5 soft drinks for
$14.00. The price of a hot dog is $0.25 more
than the price of a bag of potato chips. The
cost of a soft drink is $1.25 less than the price
of two hot dogs. Find the cost of each item.
Use row reduced echelon form to solve the system.
12) x + y + z = 3
x - y + 4z = 11
5x + y + z = -9
2
Find the domain of f. Write your answer in interval
notation.
13) f(x) = 13 - 9x
If possible, simplify the expression. If any variables
exist, assume that they are positive.
14) 2x + 6 32x + 6 8x
Match to the equivalent expression.
15) 100-1/2
A) 1
1000
B) 1
10
C) 1
100
D) 1
10
Write the expression in standard form.
16) (5 + 8i) - (-3 + i)
Simplify the expression. Assume that all variables are
positive.
17) 5 t
5
z10
Solve the equation.
18) 3x + 1 = 3 + x - 4
Write the expression in standard form.
19) 3 + 3i
5 + 3i
3
Write the equation in vertex form.
20) y = x2 + 5x + 2
The graph of ax2 + bx + c is given. Use this graph to solve
ax2 + bx + c = 0, if possible.
21)
x-5 5 10
y
50
40
30
20
10
-10
-20
-30
-40
-50
x-5 5 10
y
50
40
30
20
10
-10
-20
-30
-40
-50
Solve the equation. Write complex solutions in standard
form.
22) 4x2 + 5x + 5 = 0
Graph the quadratic function by its properties.
23) f(x) = 1
3
x2 - 2x + 3
x
y
x
y
Solve the equation. Find all real solutions.
24) 2(x - 1)2 + 11(x - 1) + 12 = 0
Solve the problem.
25) The length of a table is 12 inches more than its
width. If the area of the table is 2668 square
inches, what is its length?
4
Solve the equation..
This learner's module discusses or talks about the topic of Quadratic Functions. It also discusses what is Quadratic Functions. It also shows how to transform or rewrite the equation f(x)=ax2 + bx + c to f(x)= a(x-h)2 + k. It will also show the different characteristics of Quadratic Functions.
1
Week 2 Homework for MTH 125
Name___________________________________ Date: ___July 20, 2021______________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Graph the equation by determining the missing values needed to plot the ordered pairs.
1) y + x = 3; ( 1, ), ( 3, ), ( 2, )
1) _______
A)
B)
C)
D)
2
Find the x- and y-intercepts. Then graph the equation.
2) 10y - 2x = -4
2) _______
A) ( -2, 0);
B) ; (0, -2)
3
C) ( 2, 0);
D) ; (0, 2)
Find the midpoint of the segment with the given endpoints.
4
3) ( 8, 4) and ( 7, 9) 3) _______
A) B) C) D)
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates
of the other endpoint Q.
4) P( 5, 5) and M 4) _______
A) Q( 4, 4) B) Q C) Q D) Q
Solve the problem.
5) The graphing calculator screen shows the graph of one of the equations below. Which equation is it?
5) _______
A) y + 3x = 15 B) y - 3x = 15 C) y = 3x + 3 D) y + 3x = 3
Find the slope.
6) m = 6) _______
A) -5 B) 5 C) 12 D) 8
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line
through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
7) ( -3, -5) and ( 4, -4) 7) _______
A) - ; falls B) - 7; falls C) 7; rises D) ; rises
Find the slope of the line.
5
8)
8) _______
A) B) C) - D) -
Find the slope of the line and sketch the graph.
9) 2x + 3y = 10
9) _______
A) Slope:
6
B) Slope: -
C) Slope: -
7
D) Slope:
Decide whether the pair of lines is parallel, perpendicular, or neither.
10) 3x - 4y = 12 and 8x + 6y = -9 10) ______
A) Parallel B) Perpendicular C) Neither
Choose the graph that matches the equation.
11) y = 2x + 4 11) ______
A)
B)
C)
8
D)
Find the equation in slope-intercept form of the line satisfying the conditions.
12) m = 2, passes through ( 6, -3) 12) ______
A) y = 2x - 15 B) y = 3x + 16 C) y = 2x - 13 D) y = 2x + 14
Write the equation in slope-intercept form.
13) 17x + 5y = 7 13) ______
A) y = x + B) y = 17x - 7 C) y = - x + D) y = x -
Find the slope and the y-intercept of the line.
14) 7x + 5y = 48 14) ______
A) Slope - ; y-intercept B) Slope ; y-intercept
C) Slope ; y-intercept D) Slope - ; y-intercept
Find an equation of the line that satisfies the conditions. Write the equation in standard form.
9
15) Through ( 5, 4); m = - 15) ______
A) 4x - 9y = 56 B) 4x + 9y = -56 C) 4x + 9y = 56 D) 9x + 4y = -56
...
1 Week 2 Homework for MTH 125 Name_______________AbbyWhyte974
Β
1
Week 2 Homework for MTH 125
Name___________________________________ Date: ___July 20, 2021______________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Graph the equation by determining the missing values needed to plot the ordered pairs.
1) y + x = 3; ( 1, ), ( 3, ), ( 2, )
1) _______
A)
B)
C)
D)
2
Find the x- and y-intercepts. Then graph the equation.
2) 10y - 2x = -4
2) _______
A) ( -2, 0);
B) ; (0, -2)
3
C) ( 2, 0);
D) ; (0, 2)
Find the midpoint of the segment with the given endpoints.
4
3) ( 8, 4) and ( 7, 9) 3) _______
A) B) C) D)
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates
of the other endpoint Q.
4) P( 5, 5) and M 4) _______
A) Q( 4, 4) B) Q C) Q D) Q
Solve the problem.
5) The graphing calculator screen shows the graph of one of the equations below. Which equation is it?
5) _______
A) y + 3x = 15 B) y - 3x = 15 C) y = 3x + 3 D) y + 3x = 3
Find the slope.
6) m = 6) _______
A) -5 B) 5 C) 12 D) 8
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line
through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
7) ( -3, -5) and ( 4, -4) 7) _______
A) - ; falls B) - 7; falls C) 7; rises D) ; rises
Find the slope of the line.
5
8)
8) _______
A) B) C) - D) -
Find the slope of the line and sketch the graph.
9) 2x + 3y = 10
9) _______
A) Slope:
6
B) Slope: -
C) Slope: -
7
D) Slope:
Decide whether the pair of lines is parallel, perpendicular, or neither.
10) 3x - 4y = 12 and 8x + 6y = -9 10) ______
A) Parallel B) Perpendicular C) Neither
Choose the graph that matches the equation.
11) y = 2x + 4 11) ______
A)
B)
C)
8
D)
Find the equation in slope-intercept form of the line satisfying the conditions.
12) m = 2, passes through ( 6, -3) 12) ______
A) y = 2x - 15 B) y = 3x + 16 C) y = 2x - 13 D) y = 2x + 14
Write the equation in slope-intercept form.
13) 17x + 5y = 7 13) ______
A) y = x + B) y = 17x - 7 C) y = - x + D) y = x -
Find the slope and the y-intercept of the line.
14) 7x + 5y = 48 14) ______
A) Slope - ; y-intercept B) Slope ; y-intercept
C) Slope ; y-intercept D) Slope - ; y-intercept
Find an equation of the line that satisfies the conditions. Write the equation in standard form.
9
15) Through ( 5, 4); m = - 15) ______
A) 4x - 9y = 56 B) 4x + 9y = -56 C) 4x + 9y = 56 D) 9x + 4y = -56
...
Connector Corner: Automate dynamic content and events by pushing a buttonDianaGray10
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Here is something new! In our next Connector Corner webinar, we will demonstrate how you can use a single workflow to:
Create a campaign using Mailchimp with merge tags/fields
Send an interactive Slack channel message (using buttons)
Have the message received by managers and peers along with a test email for review
But thereβs more:
In a second workflow supporting the same use case, youβll see:
Your campaign sent to target colleagues for approval
If the βApproveβ button is clicked, a Jira/Zendesk ticket is created for the marketing design team
Butβif the βRejectβ button is pushed, colleagues will be alerted via Slack message
Join us to learn more about this new, human-in-the-loop capability, brought to you by Integration Service connectors.
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UI automation Sample
Desktop automation flow
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Learn about:
β’ The Future of Testing: How AI is shifting testing towards verification, analysis, and higher-level skills, while reducing repetitive tasks.
β’ Test Automation: How AI-powered test case generation, optimization, and self-healing tests are making testing more efficient and effective.
β’ Visual Testing: Explore the emerging capabilities of AI in visual testing and how it's set to revolutionize UI verification.
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Algebra ii study guide
1. Algebra II Regular Study Guide
Name________________________________ Date_______
Period____
1. State the property that is illustrated. 3 β (5 β 7) = (3 β 5) β 7
2. Evaluate β3y + x + 30 when x = β3 and y = 9.
3. Evaluate the expression. 60 β (15)(2) Γ· 3
4. Evaluate (7 + 5y) Γ· 3x when
x=
1
6 and y = 3.
5. Solve the equation. β 3x + 5 = β7 x β 4
6. Solve the equation. β x + 3 = 7 x + 8
7. For 1980 through 1990, the population, P, (in thousands), of
Hawaii can be modeled by P = 17(t + 56.6) where t = 0
represents 1980. What was the population in 1987?
5
( F β 32)
8. Solve for F: C = 9
9. Solve for P: A = P + Prt
10. A rectangle is 5 feet longer than it is wide. The perimeter of
the rectangle is 34 feet. What is the length of the rectangle?
11. Solve the inequality. Then graph your solution.
2 x + 5 β₯ 2 β ( x β 9)
2. Algebra II Regular Study Guide
Name________________________________ Date_______
Period____
12. Is x = β7 a solution of the inequality 5x β 7 β€ 3( x β 7) ?
Solve:
13. x β 4 β₯ 3
14. x + 7 β₯ 9
15. Is the relation
4
β
β
la, β 2f, a5, β 2f, a6, β 2fqa function?
16. Find the range of the relation {(4, β 3), (β 5, 1), (β 1, 2)}.
17. Find
F1I. f ( x) = 18x
H3K
f β
2
β 12 x β 3
18. Find the slope of the line passing through the points (β3, 3)
and (6, 2).
5
[A] 3
[B] 1
[C] β9
3. Algebra II Regular Study Guide
Name________________________________ Date_______
Period____
1
β
[D] 9
19. Find the slope and y-intercepts of the line. 5x β 4 y = 20
2
y = β xβ2
3
20. Graph the line.
21. Find the slope and y-intercepts of the line. 4 x β 3y = 36
22. Write the equation of the line, in slope-intercept form, that
passes through the point (β 2, β 2) and has slope β 3 .
23. Write the equation in slope-intercept form. Then identify the
slope and y-intercept. 18x β 42 y = 24
24. The variables x and y vary directly and y = β7 when x = 14.
Write an equation that relates the variables.
25. For the following data:
4. Algebra II Regular Study Guide
Name________________________________ Date_______
Period____
A. Make a scatter plot of the data.
B. Approximate the best fitting line for the data.
C. Find an equation of your line of best fit.
x 1 2 3 4 5 6
7
8
y 175 41 4.95 7 815 111 1195 14
.
.
.
.
.
y
x
2
4
y>β
3
26. Graph the inequality in a coordinate plane. 3
27. Is the ordered pair (β7, 2) a solution of the inequality
3x + 10 y β₯ β1 ?
28. Graph: β y β€ 4 x β 7
5. Algebra II Regular Study Guide
Name________________________________ Date_______
Period____
29. Graph the equation. y = 2 x + 5
30. Find the solution to the system by graphing.
x+ y = β7
2x β y = β 2
31. Is (5, β2) a solution of the system?
2x + 6y = β2
2x + y = 6
32. The drama club sold 1500 tickets for the end-of-year
performance. Admission prices were $12 for adults and $6 for
students. The total amount collected at the box office was
$16,200. How many students attended the play?
4x β 4 y = 4
33. Solve the linear system: 3x + 4 y = β 25
34. Graph the system of linear inequalities:
y β₯ xβ3
3x + y β₯ β 1
35. Decide if the given ordered triple is a solution of the
following system of equations: (1, β2, 4)
6. Algebra II Regular Study Guide
Name________________________________ Date_______
Period____
3x + 2 y + 3z = 11
2 x β 4 y + z = 14
x + y β 5z = β 21
36. Solve the system of equations:
x + y + z = 5
β 2 x β y + z = β 15
x β 2y β z = 6
2
37. Does the parabola open up or down? y = 4 + 6x β 2 x
2
38. Sketch the graph of the equation. y = x β 2 x + 3
2
39. Write in standard form and graph: y = ( x β 1) + 2
40. Factor the expression: 8x 2 β 25 + 10x
41. The height of a triangle is three feet longer than the base.
The area of the triangle is 44 square feet. Find the height and
base of the triangle.
7. Algebra II Regular Study Guide
Name________________________________ Date_______
Period____
42. Find the zeros of the equation. x 2 + 2 x β 15 = y
43. Simplify the expression: 175
44. Solve for x: 5 x 2 = 405
45. Solve the equation. Round the solutions to two decimal
places. 7 x 2 β 2 = 23
46. Solve: x 2 + 2 x + 5 = 0
Write the expression as a complex number in standard form.
2
3 β 2i
47.
a f
48. β i + (7 β 5i) β 3(2 β 3i)
49. Solve the equation by completing the square.
x 2 + 2 x β 35 = 0
2
50. Sketch the graph of the inequality. y β₯ 2 x + 4 x β 1
8. Algebra II Regular Study Guide
Name________________________________ Date_______
Period____
14. Algebra II Regular Study Guide
Name________________________________ Date_______
Period____
y
x
[25]
.
y = 175x
Reference: [2.6.1.85]
y
3
2
1
β3 β2 β1
[26]
1 2 3
x
β3
Reference: [2.6.1.80]
[27] Yes
Reference: [2.6.1.74]
15. Algebra II Regular Study Guide
Name________________________________ Date_______
Period____
y
10
10
x
10
β10
x
β10
[28]
Reference: [2.8.1.114]
y
10
β10
[29]
β10
Reference: [3.1.1.3]
16. Algebra II Regular Study Guide
Name________________________________ Date_______
Period____
y
10
β10
[30]
(β3, β4)
10
β10
Reference: [3.1.1.11]
[31] No
Reference: [3.1.2.18]
[32] 300
Reference: [3.2.1.23]
[33] (β3, β4)
Reference: [3.3.1.45]
x
17. Algebra II Regular Study Guide
Name________________________________ Date_______
Period____
10
y
β10
[34]
10
β10
Reference: [3.6.1.74]
[35] yes
Reference: [3.6.1.77]
[36] (6, 1, β2)
Reference: [5.1.1.5]
[37] Down
Reference: [5.1.1.11]
x
18. Algebra II Regular Study Guide
Name________________________________ Date_______
Period____
y
3
2
(1, 2)
1
β2
1
2
3
4
x
[38]
Reference: [5.1.1.15]
2
[39] y = x β 2 x + 3
y
5
β5
5
x
β5
Reference: [5.2.1.27]
[40] (2 x + 5)(4 x β 5)
Reference: [5.2.1.36]
![Algebra II Regular Study Guide
Name________________________________ Date_______
Period____
12. Is x = β7 a solution of the inequality 5x β 7 β€ 3( x β 7) ?
Solve:
13. x β 4 β₯ 3
14. x + 7 β₯ 9
15. Is the relation
4
β
β
la, β 2f, a5, β 2f, a6, β 2fqa function?
16. Find the range of the relation {(4, β 3), (β 5, 1), (β 1, 2)}.
17. Find
F1I. f ( x) = 18x
H3K
f β
2
β 12 x β 3
18. Find the slope of the line passing through the points (β3, 3)
and (6, 2).
5
[A] 3
[B] 1
[C] β9](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)