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math-subject-for-high-school-9th-grade-systems-of-equations-and-inequalities.pptx

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This document contains a practice test for general mathematics for 12th grade. It includes multiple choice questions related to linear equations, functions, systems of linear equations, percentages, and costs. The questions cover topics like writing a linear model based on distance and time data, evaluating functions, adding functions, and calculating costs based on unit prices.

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NAT PRACTICE TEST General Mathematics Here is where your presentation begins 12th Grade
1. Joshua currently lives in Surigao City, but he begins a new job in Butuan City. Every Monday, he drives his new car 123 kilometers from his residence to the office and spends the week in a company apartment. He drives back home every Friday. After 4 weeks of this routinary activity, his cars odometer shows that he has travelled 1134 kilometers since he bought the car. Write a linear model which gives the distance y covered by the car as a function of x number of weeks since he used the car. A. y = 246x + 150 B. B. y = 123x + 510 C. C. y = 246x + 510 D. D. y = 123x + 150
If ()=+8, evaluate f (2). A. 4 B. 6 C. 10 D. 16
Given f(x) = 2x 2 - 5x 8 and g(x) = 10 x + 7. Find (f + g) (x). A. 2 x 2 + 5 x + 15 B. B. 2 x 2 - 5 x 1 C. C. 2 x 2 + 5 x 1
Three kilos of squid can be purchased at the market for PhP 180. What will be the cost of 15 kilos of squid? A. PhP 900 B. PhP 450 C. PhP 2700 D. PhP 1350
math-subject-for-high-school-9th-grade-systems-of-equations-and-inequalities.pptx
Given f(x) = 2x 2 - 5x 8 and g(x) = 10 x + 7. Find (f + g) (x). A. 2 x 2 + 5 x + 15 B. B. 2 x 2 - 5 x 1 C. C. 2 x 2 + 5 x 1
Overview 01 You can describe the topic of the section here
Tablet mockup You can replace the image on the screen with your own work. Just right-click on it and select Replace image
Introduction You can give a brief description of the topic you want to talk about here. For example, if you want to talk about Mercury, you can say that its the smallest planet in the entire Solar System
Someone Famous This is a quote, words full of wisdom that someone important said and can make the reader get inspired.
A picture is worth a thousand words
Mercury is the closest planet to the Sun and the smallest one in the Solar Systemits only a bit larger than the Moon Systems of linear equations
Despite being red, Mars is a cold place Definition of concepts Venus Venus is the second planet from the Sun Jupiter Its the biggest planet in the Solar System Mars Saturn Saturn is a gas giant and has several rings
Lets make equations!
6 - 5x + 2x = 8 - 4x First degree equations
Features 02 You can describe the topic of the section here
Maybe you need six columns Saturn Its a gas giant and has several rings Mercury Its the closest planet to the Sun Jupiter Its the biggest planet of them all Mars Mars is actually a very cold place Venus Venus is the second planet from the Sun Neptune Its the farthest planet from the Sun
Differential equations Equation Solution Y = 2x Y = x Y + 3y = 6x + 11 y = e + 2x + 3 Y - 3y + 2y = 24e y = 3e - 4e + 2e
Understand the substitution method 2x + y = 7 The substitution method consists of isolating one of the two unknowns in one equation to replace it in the other equation. Example: 3x - y = 1 { Process & Solution: Solve Equation 1 for y: y = 7 - 2x Substitute y in Equation 2: 3x - (7 - 2x) = 1 Simplify and solve for x: 5x = 8 x = 8/5 Substitute x back into Equation 1: y = 19/5 Solution: x = 8/5, y = 19/5
Substitution method 1. We isolate an unknown 2. We substitute the unknown in the other equation 4 + x = 2y 1 x = 2y - 4 2x - y = 1 2 2 揃 (2y - 4) - y = 1 4y - 8 - y = 1
Substitution method 3. We solve the equation obtained 4. We calculate the other unknown by substituting 4y - 8 - y = 1 3y - 8 = 1 X = 2y - 4 x = 2y - 4 X = 2 揃 3 - 4 3y = 9 y = 9/3 = 3 X = 6 - 4 = 2 3 4 x = 2 y = 3 { Solution:
Venus Venus is the second planet from the Sun Mars Despite being red, Mars is a cold place 3 Important points of mathematics Saturn Saturn is a gas giant and has several rings
ax + b = 0 Equation of the first degree or linear (where b is a constant) ax2 +bx + c = 0 Quadratic or quadratic equations (where c is a constant) ax3 + bx2 + cx + d = 0 Third degree equations (where d is a constant)
Assignment 03 You can describe the topic of the section here
This is a map Venus Venus is the second planet from the Sun Mercury Its the biggest planet in the Solar System Mars Despite being red, Mars is a cold place
Lets practice Mercury is the closest planet to the Sun and the smallest one in the Solar Systemits only a bit larger than the Moon
Steps for math Step 01 Step 02 Step 03 Step 04 Despite being red, Mars is a cold place Venus is the second planet from the Sun Its the biggest planet in the Solar System Saturn is a gas giant and has several rings
Math Graph Follow the link in the graph to modify its data and then paste the new one here. For more info, click here Venus is the second planet from the Sun Despite being red, Mars is a cold place 45% 55% Venus Mars
Math diagram Its the biggest planet of them all Jupiter Its a gas giant and has several rings Mars Despite being red, Mars is a cold place Venus Venus is the second planet from the Sun Saturn
Mercury Venus Mercury is the closest planet to the Sun and the smallest one in the Solar Systemits only a bit larger than the Moon Venus has a beautiful name and is the second planet from the Sun. Its hot and has a poisonous atmosphere Two columns
Mathematical percentages Its the closest planet to the Sun and the smallest in the Solar System Mars Despite being red, Mars is a cold place Venus Venus is the second planet from the Sun 50% 75% Saturn Its a gas giant and has several rings 25%
Did you know this? Mercury is the closest planet to the Sun and the smallest one in the Solar Systemits only a bit larger than the Moon
Check list Its the closest planet to the Sun and the smallest in the Solar System Modeling with systems of linear equation Its the closest planet to the Sun Graphing two-variable linear inequalities Mars is actually a very cold place Modeling with two-variable linear inequalities Its composed of hydrogen and helium
Graphic math Mars Despite being red, Mars is a cold place Venus Venus is the second planet from the Sun Follow the link in the graph to modify its data and then paste the new one here. For more info, click here
Desktop mockup You can replace the image on the screen with your own work. Just right-click on it and select Replace image
Mobile mockup You can replace the image on the screen with your own work. Just right-click on it and select Replace image
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Create your Story with our illustrated concepts. Choose the style you like the most, edit its colors, pick the background and layers you want to show and bring them to life with the animator panel! It will boost your presentation. Check out How it Works. Pana Amico Bro Rafiki Cuate Storyset
You can easily resize these resources without losing quality. To change the color, just ungroup the resource and click on the object you want to change. Then, click on the paint bucket and select the color you want. Group the resource again when youre done. You can also look for more infographics on 際際滷sgo. Use our editable graphic resources...
math-subject-for-high-school-9th-grade-systems-of-equations-and-inequalities.pptx
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JANUARY FEBRUARY MARCH APRIL MAY JUNE PHASE 1 PHASE 2 Task 1 Task 2 Task 1 Task 2 JANUARY FEBRUARY MARCH APRIL PHASE 1 Task 1 Task 2
math-subject-for-high-school-9th-grade-systems-of-equations-and-inequalities.pptx
math-subject-for-high-school-9th-grade-systems-of-equations-and-inequalities.pptx
You can resize these icons without losing quality. You can change the stroke and fill color; just select the icon and click on the paint bucket/pen. In Google 際際滷s, you can also use Flaticons extension, allowing you to customize and add even more icons. ...and our sets of editable icons
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math-subject-for-high-school-9th-grade-systems-of-equations-and-inequalities.pptx

  • 1. NAT PRACTICE TEST General Mathematics Here is where your presentation begins 12th Grade
  • 2. 1. Joshua currently lives in Surigao City, but he begins a new job in Butuan City. Every Monday, he drives his new car 123 kilometers from his residence to the office and spends the week in a company apartment. He drives back home every Friday. After 4 weeks of this routinary activity, his cars odometer shows that he has travelled 1134 kilometers since he bought the car. Write a linear model which gives the distance y covered by the car as a function of x number of weeks since he used the car. A. y = 246x + 150 B. B. y = 123x + 510 C. C. y = 246x + 510 D. D. y = 123x + 150
  • 3. If ()=+8, evaluate f (2). A. 4 B. 6 C. 10 D. 16
  • 4. Given f(x) = 2x 2 - 5x 8 and g(x) = 10 x + 7. Find (f + g) (x). A. 2 x 2 + 5 x + 15 B. B. 2 x 2 - 5 x 1 C. C. 2 x 2 + 5 x 1
  • 5. Three kilos of squid can be purchased at the market for PhP 180. What will be the cost of 15 kilos of squid? A. PhP 900 B. PhP 450 C. PhP 2700 D. PhP 1350
  • 7. Given f(x) = 2x 2 - 5x 8 and g(x) = 10 x + 7. Find (f + g) (x). A. 2 x 2 + 5 x + 15 B. B. 2 x 2 - 5 x 1 C. C. 2 x 2 + 5 x 1
  • 8. Overview 01 You can describe the topic of the section here
  • 9. Tablet mockup You can replace the image on the screen with your own work. Just right-click on it and select Replace image
  • 10. Introduction You can give a brief description of the topic you want to talk about here. For example, if you want to talk about Mercury, you can say that its the smallest planet in the entire Solar System
  • 11. Someone Famous This is a quote, words full of wisdom that someone important said and can make the reader get inspired.
  • 12. A picture is worth a thousand words
  • 13. Mercury is the closest planet to the Sun and the smallest one in the Solar Systemits only a bit larger than the Moon Systems of linear equations
  • 14. Despite being red, Mars is a cold place Definition of concepts Venus Venus is the second planet from the Sun Jupiter Its the biggest planet in the Solar System Mars Saturn Saturn is a gas giant and has several rings
  • 16. 6 - 5x + 2x = 8 - 4x First degree equations
  • 17. Features 02 You can describe the topic of the section here
  • 18. Maybe you need six columns Saturn Its a gas giant and has several rings Mercury Its the closest planet to the Sun Jupiter Its the biggest planet of them all Mars Mars is actually a very cold place Venus Venus is the second planet from the Sun Neptune Its the farthest planet from the Sun
  • 19. Differential equations Equation Solution Y = 2x Y = x Y + 3y = 6x + 11 y = e + 2x + 3 Y - 3y + 2y = 24e y = 3e - 4e + 2e
  • 20. Understand the substitution method 2x + y = 7 The substitution method consists of isolating one of the two unknowns in one equation to replace it in the other equation. Example: 3x - y = 1 { Process & Solution: Solve Equation 1 for y: y = 7 - 2x Substitute y in Equation 2: 3x - (7 - 2x) = 1 Simplify and solve for x: 5x = 8 x = 8/5 Substitute x back into Equation 1: y = 19/5 Solution: x = 8/5, y = 19/5
  • 21. Substitution method 1. We isolate an unknown 2. We substitute the unknown in the other equation 4 + x = 2y 1 x = 2y - 4 2x - y = 1 2 2 揃 (2y - 4) - y = 1 4y - 8 - y = 1
  • 22. Substitution method 3. We solve the equation obtained 4. We calculate the other unknown by substituting 4y - 8 - y = 1 3y - 8 = 1 X = 2y - 4 x = 2y - 4 X = 2 揃 3 - 4 3y = 9 y = 9/3 = 3 X = 6 - 4 = 2 3 4 x = 2 y = 3 { Solution:
  • 23. Venus Venus is the second planet from the Sun Mars Despite being red, Mars is a cold place 3 Important points of mathematics Saturn Saturn is a gas giant and has several rings
  • 24. ax + b = 0 Equation of the first degree or linear (where b is a constant) ax2 +bx + c = 0 Quadratic or quadratic equations (where c is a constant) ax3 + bx2 + cx + d = 0 Third degree equations (where d is a constant)
  • 25. Assignment 03 You can describe the topic of the section here
  • 26. This is a map Venus Venus is the second planet from the Sun Mercury Its the biggest planet in the Solar System Mars Despite being red, Mars is a cold place
  • 27. Lets practice Mercury is the closest planet to the Sun and the smallest one in the Solar Systemits only a bit larger than the Moon
  • 28. Steps for math Step 01 Step 02 Step 03 Step 04 Despite being red, Mars is a cold place Venus is the second planet from the Sun Its the biggest planet in the Solar System Saturn is a gas giant and has several rings
  • 29. Math Graph Follow the link in the graph to modify its data and then paste the new one here. For more info, click here Venus is the second planet from the Sun Despite being red, Mars is a cold place 45% 55% Venus Mars
  • 30. Math diagram Its the biggest planet of them all Jupiter Its a gas giant and has several rings Mars Despite being red, Mars is a cold place Venus Venus is the second planet from the Sun Saturn
  • 31. Mercury Venus Mercury is the closest planet to the Sun and the smallest one in the Solar Systemits only a bit larger than the Moon Venus has a beautiful name and is the second planet from the Sun. Its hot and has a poisonous atmosphere Two columns
  • 32. Mathematical percentages Its the closest planet to the Sun and the smallest in the Solar System Mars Despite being red, Mars is a cold place Venus Venus is the second planet from the Sun 50% 75% Saturn Its a gas giant and has several rings 25%
  • 33. Did you know this? Mercury is the closest planet to the Sun and the smallest one in the Solar Systemits only a bit larger than the Moon
  • 34. Check list Its the closest planet to the Sun and the smallest in the Solar System Modeling with systems of linear equation Its the closest planet to the Sun Graphing two-variable linear inequalities Mars is actually a very cold place Modeling with two-variable linear inequalities Its composed of hydrogen and helium
  • 35. Graphic math Mars Despite being red, Mars is a cold place Venus Venus is the second planet from the Sun Follow the link in the graph to modify its data and then paste the new one here. For more info, click here
  • 36. Desktop mockup You can replace the image on the screen with your own work. Just right-click on it and select Replace image
  • 37. Mobile mockup You can replace the image on the screen with your own work. Just right-click on it and select Replace image
  • 38. CREDITS: This presentation template was created by 際際滷sgo, including icons by Flaticon, infographics & images by Freepik and illustrations by Storyset Thanks! Do you have any questions? youremail@freepik.com +91 620 421 838 yourcompany.com Please keep this slide for attribution
  • 40. Heres an assortment of alternative resources whose style fits that of this template Vectors: Deconstructed Cartoon Illustrations Exams Cartoon Illustrations Alternative Resources
  • 41. Did you like the resources on this template? Get them for free at our other websites: Photos: Student with problems in mathematics Friends posing in maths class Icons: Icon Pack: Maths | Lineal color Vectors: Find more illustrations like these on Storyset Calculator Cartoon Illustrations Teaching Cartoon Illustrations Mathematics Cartoon Illustrations Notes Cartoon Illustrations School stuff on a notebook sheet, teacher's day Resources
  • 42. In order to use this template, you must credit 際際滷sgo by keeping the Thanks slide. You are allowed to: - Modify this template. - Use it for both personal and commercial projects. You are not allowed to: - Sublicense, sell or rent any of 際際滷sgo Content (or a modified version of 際際滷sgo Content). - Distribute 際際滷sgo Content unless it has been expressly authorized by 際際滷sgo. - Include 際際滷sgo Content in an online or offline database or file. - Offer 際際滷sgo templates (or modified versions of 際際滷sgo templates) for download. - Acquire the copyright of 際際滷sgo Content. Instructions for use For more information about editing slides, please read our FAQs or visit 際際滷sgo School: https://slidesgo.com/faqs and https://slidesgo.com/slidesgo-school
  • 43. Instructions for use (premium users) As a Premium user, you can use this template without attributing 際際滷sgo or keeping the "Thanks" slide. You are allowed to: Modify this template. Use it for both personal and commercial purposes. Hide or delete the Thanks slide and the mention to 際際滷sgo in the credits. Share this template in an editable format with people who are not part of your team. You are not allowed to: Sublicense, sell or rent this 際際滷sgo Template (or a modified version of this 際際滷sgo Template). Distribute this 際際滷sgo Template (or a modified version of this 際際滷sgo Template) or include it in a database or in any other product or service that offers downloadable images, icons or presentations that may be subject to distribution or resale. Use any of the elements that are part of this 際際滷sgo Template in an isolated and separated way from this Template. Register any of the elements that are part of this template as a trademark or logo, or register it as a work in an intellectual property registry or similar. For more information about editing slides, please read our FAQs or visit 際際滷sgo School: https://slidesgo.com/faqs and https://slidesgo.com/slidesgo-school
  • 44. This presentation has been made using the following fonts: Oswald (https://fonts.google.com/specimen/Oswald) Open Sans (https://fonts.google.com/specimen/Open+Sans) Fonts & colors used #241963 #ffffff #f8c9d7 #e0a3c9 #c6c3fe #d6fff8 #ffeacc #f9ffef #9686ea #c0e8df
  • 45. Create your Story with our illustrated concepts. Choose the style you like the most, edit its colors, pick the background and layers you want to show and bring them to life with the animator panel! It will boost your presentation. Check out How it Works. Pana Amico Bro Rafiki Cuate Storyset
  • 46. You can easily resize these resources without losing quality. To change the color, just ungroup the resource and click on the object you want to change. Then, click on the paint bucket and select the color you want. Group the resource again when youre done. You can also look for more infographics on 際際滷sgo. Use our editable graphic resources...
  • 49. JANUARY FEBRUARY MARCH APRIL MAY JUNE PHASE 1 PHASE 2 Task 1 Task 2 Task 1 Task 2 JANUARY FEBRUARY MARCH APRIL PHASE 1 Task 1 Task 2
  • 52. You can resize these icons without losing quality. You can change the stroke and fill color; just select the icon and click on the paint bucket/pen. In Google 際際滷s, you can also use Flaticons extension, allowing you to customize and add even more icons. ...and our sets of editable icons
  • 55. Help & Support Icons Avatar Icons
  • 56. Creative Process Icons Performing Arts Icons