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Algebraic Expressions
and Equations -
Mathematics
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9th grade
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Table of contents
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of the section here
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of the section here
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of the section here
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of the section here
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of the section here
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01
04
02
05
03
06
Introduction
Variables and
constants
Algebraic
expressions
One-step
equations
Two-step
equations
Equations with
fractions
Whoa!
This can be the part of the presentation where you
introduce yourself, write your email…
Introduction to
algebra
01
You can enter a subtitle here if you need it
Evaluating algebraic expressions
Mercury takes a little more than 58 days
to complete its rotation, so try to
imagine how long days must be there!
Since the temperatures are so extreme,
albeit not as extreme as on Venus,
Mercury has been deemed to be non-
habitable for humans
Mercury is the closest planet to the Sun
and the smallest one in the entire Solar
System. Contrary to popular belief, this
planet's name has nothing to do with
the liquid metal. Mercury was, instead,
named after the famous Roman
messenger god Mercurius
Simplifying algebraic expressions
Do you know what helps you make your point
crystal clear? Lists like this one:
● They’re simple
● You can organize your ideas clearly
● You’ll never forget to buy milk!
And the most important thing: the audience won’t
miss the point of your presentation
Solving two-step equations
Venus has a beautiful name and
is the second planet from the
Sun. It’s hot and has a
poisonous atmosphere
Mercury is the closest planet to
the Sun and the smallest one in
the Solar System—it’s only a bit
larger than the Moon
Mercury Venus
Solving three-step equations
Mercury is the closest
planet to the Sun and the
smallest of them all
Venus has a beautiful
name and is the second
planet from the Sun
Despite being red, Mars
is actually a cold place.
It’s full of iron oxide dust
Mercury Venus Mars
Solving multi-step equations
Mars is actually a very
cold place
Venus has extremely
high temperatures
Jupiter is the biggest
planet of them all
Saturn is a gas giant
and has several rings
Mars
Jupiter
Venus
Saturn
Venus has extremely
high temperatures
Neptune is the farthest
planet from the Sun
Reviewing concepts is a good idea
Mars is actually a very
cold place
Mercury is the closest
planet to the Sun
Saturn is a gas giant
with several rings
Jupiter is the biggest
planet of them all
Mars Venus Neptune
Mercury Saturn Jupiter
Awesome
words
“This is a quote, words full of wisdom
that someone important said and can
make the reader get inspired”
—Someone Famous
A picture is worth a thousand words
A picture
always
reinforces
the concept
Images reveal large amounts of data, so
remember: use an image instead of a long
text. Your audience will appreciate it
98,300,000
Big numbers catch your audience’s attention
Jupiter’s rotation period
9h 55m 23s
333,000
The Sun’s mass compared to Earth’s
386,000 km
Distance between Earth and the Moon
Mercury is the closest
planet to the Sun and the
smallest of them all
Mercury
Venus has a beautiful
name and is the second
planet from the Sun
Venus
Despite being red, Mars
is actually a cold place.
It’s full of iron oxide dust
Mars
Let’s use some percentages
50% 75%
25%
Computer
mockup
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Tablet mockup
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Phone mockup
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with your own work. Just right-click on it
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Venus
Mars
Mercury
This is a map
Venus is the second
planet from the Sun
Despite being red, Mars
is a very cold place
Mercury is the closest
planet to the Sun
A timeline always works well
Venus
Venus is the second
planet from the Sun
Mercury
Mercury is the closest
planet to the Sun
Mars
Despite being red, Mars
is a very cold place
Jupiter
Jupiter is the biggest
planet of them all
Mars
Infographics are useful
Solar
System
Mercury
Venus
Jupiter
Mars is a red planet
Mercury is very small
Venus is a hot planet
Jupiter is a gas giant
Use tables to represent data
Team A Team B Team C Team D
Mercury 0.06 0.53 0.38 0.38
Mars 0.11 9.4 0.53 0.78
Saturn 95.2 1.16 9.4 1.16
You can use this graph
Follow the link in the graph to modify its data and then paste the
new one here. For more info, click here
Mercury
Mercury is quite a
small planet
Jupiter
Jupiter is an
enormous planet
Venus
Venus has very
high temperatures
Saturn
Saturn is a gas
giant with rings
Kaliyah Harris
Sofia Hill
Our teachers
You can speak a bit about
this person here
You can speak a bit about
this person here
Exercise 1
Simplify the following algebraic
expression: 3x + 2 - (x - 5)
Write your answer here:
Solution: To simplify this expression, we first remove
the parentheses: 3x + 2 - x + 5
Next, we combine like terms (the terms with 'x' and the
constant terms): (3x - x) + (2 + 5)
This gives us: 2x + 7
Answer: 2x + 7
Drag the rectangle to see the answer
Exercise 2
Solve the following equation for 'x': 2(x + 3) = 10 Write your answer here:
Solution: To solve this equation, we distribute the 2 to the
terms inside the parentheses: 2x + 6 = 10
Next, we isolate the variable 'x' by subtracting 6 from both
sides of the equation: 2x = 10 - 6
Simplifying the right side gives us: 2x = 4
Finally, we solve for 'x' by dividing both sides of the equation
by 2: x = 2
Answer: x = 2
Drag the rectangle to see the answer
Exercise 3
Simplify the following expression: 2(3x - 4)
+ 5x - 2(2x + 1)
Write your answer here:
Solution: To simplify this expression, we distribute the
coefficients to the terms inside the parentheses: 6x - 8
+ 5x - 4x - 2
Next, we combine like terms: (6x + 5x - 4x) + (-8 - 2)
Simplifying each side gives us: 7x - 10
Answer: 7x - 10
Drag the rectangle to see the answer
Exercise 4
Solve the following equation for 'y': 4(y + 2) - 3(2y -
1) = 5 - 2(y + 4)
Write your answer here:
Solution: To solve this equation, we distribute the coefficients to
the terms inside the parentheses on both sides: 4y + 8 - 6y + 3 =
5 - 2y - 8
Next, we combine like terms on each side of the equation: (4y -
6y) + (8 + 3) = (5 - 8) - 2y
Simplifying each side gives us: -2y + 11 = -3 - 2y
At this point, we notice that the 'y' terms cancel out on both sides
of the equation. Therefore, the equation has no solution.
Answer: No solution
Drag the rectangle to see the answer
My timetable
Time Mon Tue Wed Thur Fri
9:00 Math English English Art Math
10:00 Literature Art Math Literature Biology
11:00 Art Biology History Math Spanish
11:30 Break
12:00 English Math Art English History
13:00 History Literature Spanish History Literature
14:00 Philosophy Gym Philosophy Biology Philosophy
My exams this month
Mon Tue Wed Thu Fri Sat Sun
1 2 3 4
5 6 7 8 9 10 11
12 13 14 15 16 17 18
19 20 21 22 23 24 25
26 27 28 29 30
Earth
Mars
Venus
Taking notes in class
Venus is the second planet from the Sun
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algebraic-expressions-and-equations-mathematics-9th-grade.pptx

  • 1. Algebraic Expressions and Equations - Mathematics Here is where your presentation begins 9th grade
  • 2. Contents of this template You can delete this slide when you’re done editing the presentation Fonts To view this template correctly in PowerPoint, download and install the fonts we used Used and alternative resources An assortment of graphic resources that are suitable for use in this presentation Thanks slide You must keep it so that proper credits for our design are given Colors All the colors used in this presentation Icons and infographic resources These can be used in the template, and their size and color can be edited Editable presentation theme You can edit the master slides easily. For more info, click here For more info: SLIDESGO | BLOG | FAQs You can visit our sister projects: FREEPIK | FLATICON | STORYSET | WEPIK | VIDEVO
  • 3. Table of contents You can describe the topic of the section here You can describe the topic of the section here You can describe the topic of the section here You can describe the topic of the section here You can describe the topic of the section here You can describe the topic of the section here 01 04 02 05 03 06 Introduction Variables and constants Algebraic expressions One-step equations Two-step equations Equations with fractions
  • 4. Whoa! This can be the part of the presentation where you introduce yourself, write your email…
  • 5. Introduction to algebra 01 You can enter a subtitle here if you need it
  • 6. Evaluating algebraic expressions Mercury takes a little more than 58 days to complete its rotation, so try to imagine how long days must be there! Since the temperatures are so extreme, albeit not as extreme as on Venus, Mercury has been deemed to be non- habitable for humans Mercury is the closest planet to the Sun and the smallest one in the entire Solar System. Contrary to popular belief, this planet's name has nothing to do with the liquid metal. Mercury was, instead, named after the famous Roman messenger god Mercurius
  • 7. Simplifying algebraic expressions Do you know what helps you make your point crystal clear? Lists like this one: ● They’re simple ● You can organize your ideas clearly ● You’ll never forget to buy milk! And the most important thing: the audience won’t miss the point of your presentation
  • 8. Solving two-step equations Venus has a beautiful name and is the second planet from the Sun. It’s hot and has a poisonous atmosphere Mercury is the closest planet to the Sun and the smallest one in the Solar System—it’s only a bit larger than the Moon Mercury Venus
  • 9. Solving three-step equations Mercury is the closest planet to the Sun and the smallest of them all Venus has a beautiful name and is the second planet from the Sun Despite being red, Mars is actually a cold place. It’s full of iron oxide dust Mercury Venus Mars
  • 10. Solving multi-step equations Mars is actually a very cold place Venus has extremely high temperatures Jupiter is the biggest planet of them all Saturn is a gas giant and has several rings Mars Jupiter Venus Saturn
  • 11. Venus has extremely high temperatures Neptune is the farthest planet from the Sun Reviewing concepts is a good idea Mars is actually a very cold place Mercury is the closest planet to the Sun Saturn is a gas giant with several rings Jupiter is the biggest planet of them all Mars Venus Neptune Mercury Saturn Jupiter
  • 13. “This is a quote, words full of wisdom that someone important said and can make the reader get inspired” —Someone Famous
  • 14. A picture is worth a thousand words
  • 15. A picture always reinforces the concept Images reveal large amounts of data, so remember: use an image instead of a long text. Your audience will appreciate it
  • 16. 98,300,000 Big numbers catch your audience’s attention
  • 17. Jupiter’s rotation period 9h 55m 23s 333,000 The Sun’s mass compared to Earth’s 386,000 km Distance between Earth and the Moon
  • 18. Mercury is the closest planet to the Sun and the smallest of them all Mercury Venus has a beautiful name and is the second planet from the Sun Venus Despite being red, Mars is actually a cold place. It’s full of iron oxide dust Mars Let’s use some percentages 50% 75% 25%
  • 19. Computer 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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  • 22. Venus Mars Mercury This is a map Venus is the second planet from the Sun Despite being red, Mars is a very cold place Mercury is the closest planet to the Sun
  • 23. A timeline always works well Venus Venus is the second planet from the Sun Mercury Mercury is the closest planet to the Sun Mars Despite being red, Mars is a very cold place Jupiter Jupiter is the biggest planet of them all
  • 24. Mars Infographics are useful Solar System Mercury Venus Jupiter Mars is a red planet Mercury is very small Venus is a hot planet Jupiter is a gas giant
  • 25. Use tables to represent data Team A Team B Team C Team D Mercury 0.06 0.53 0.38 0.38 Mars 0.11 9.4 0.53 0.78 Saturn 95.2 1.16 9.4 1.16
  • 26. You can use this graph Follow the link in the graph to modify its data and then paste the new one here. For more info, click here Mercury Mercury is quite a small planet Jupiter Jupiter is an enormous planet Venus Venus has very high temperatures Saturn Saturn is a gas giant with rings
  • 27. Kaliyah Harris Sofia Hill Our teachers You can speak a bit about this person here You can speak a bit about this person here
  • 28. Exercise 1 Simplify the following algebraic expression: 3x + 2 - (x - 5) Write your answer here: Solution: To simplify this expression, we first remove the parentheses: 3x + 2 - x + 5 Next, we combine like terms (the terms with 'x' and the constant terms): (3x - x) + (2 + 5) This gives us: 2x + 7 Answer: 2x + 7 Drag the rectangle to see the answer
  • 29. Exercise 2 Solve the following equation for 'x': 2(x + 3) = 10 Write your answer here: Solution: To solve this equation, we distribute the 2 to the terms inside the parentheses: 2x + 6 = 10 Next, we isolate the variable 'x' by subtracting 6 from both sides of the equation: 2x = 10 - 6 Simplifying the right side gives us: 2x = 4 Finally, we solve for 'x' by dividing both sides of the equation by 2: x = 2 Answer: x = 2 Drag the rectangle to see the answer
  • 30. Exercise 3 Simplify the following expression: 2(3x - 4) + 5x - 2(2x + 1) Write your answer here: Solution: To simplify this expression, we distribute the coefficients to the terms inside the parentheses: 6x - 8 + 5x - 4x - 2 Next, we combine like terms: (6x + 5x - 4x) + (-8 - 2) Simplifying each side gives us: 7x - 10 Answer: 7x - 10 Drag the rectangle to see the answer
  • 31. Exercise 4 Solve the following equation for 'y': 4(y + 2) - 3(2y - 1) = 5 - 2(y + 4) Write your answer here: Solution: To solve this equation, we distribute the coefficients to the terms inside the parentheses on both sides: 4y + 8 - 6y + 3 = 5 - 2y - 8 Next, we combine like terms on each side of the equation: (4y - 6y) + (8 + 3) = (5 - 8) - 2y Simplifying each side gives us: -2y + 11 = -3 - 2y At this point, we notice that the 'y' terms cancel out on both sides of the equation. Therefore, the equation has no solution. Answer: No solution Drag the rectangle to see the answer
  • 32. My timetable Time Mon Tue Wed Thur Fri 9:00 Math English English Art Math 10:00 Literature Art Math Literature Biology 11:00 Art Biology History Math Spanish 11:30 Break 12:00 English Math Art English History 13:00 History Literature Spanish History Literature 14:00 Philosophy Gym Philosophy Biology Philosophy
  • 33. My exams this month Mon Tue Wed Thu Fri Sat Sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Earth Mars Venus
  • 34. Taking notes in class Venus is the second planet from the Sun
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  • 45. JANUARY FEBRUARY MARCH APRIL PHASE 1 Task 1 Task 2 JANUARY FEBRUARY MARCH APRIL MAY JUNE PHASE 1 PHASE 2 Task 1 Task 2 Task 1 Task 2
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  • 55. Add the title here Text 1 Text 2 Text 3 Text 4 Text 5 Text 6 2016 2017 2018 2019 2020 “Despite being red, Mars is actually a very cold place” “Mercury is the smallest planet in the Solar System” “Neptune is the farthest planet from the Sun” “Saturn is a gas giant and has several rings” “Venus is the second planet from the Sun and is terribly hot” Premium infographics
  • 56. “Despite being red, Mars is actually a very cold place” “Jupiter is the biggest planet in the entire Solar System” “Saturn is a gas giant and has several rings” 75% Premium infographics “Mercury is the smallest planet in the Solar System” TITLE 1 75%