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Expressions
& Equations
You can give here a brief
description of the topic you want
to talk about. For example, if you
want to talk about Mercury, you
can say that it’s the smallest
planet in the entire Solar System
Introduction
Arithmetic Only numbers and
mathematical operators
Fractional Fractional numbers and
mathematical operators
Algebraic Variables, numbers, and
mathematical operators
Types of expressions
Distributive
multiplied by the sum/addition of
two terms, it is essential to multiply
each of the two numbers by the
factor, and finally perform the
addition operation.
a ( b + c) = ab + ac
Associative
involving the condition that a
group of quantities connected by
operators gives the same result
whatever their grouping, as long as
their order remains the same, e.g.,
( a × b ) × c = a × ( b × c ).
Commutative
involving the condition that a
group of quantities connected by
operators gives the same result
whatever the order of the
quantities involved, e.g.,
a × b = b × a.
Definition of concepts
5y+3
This is an expression
5y+3=6
This is an equation
Expression vs. equation
You can replace the
image on the screen with
your own work. Just
right-click on it and
select “Replace image”
Watch this example
Parts of an equation
Variable
Mercury is the closest
planet to the Sun
Operator
Saturn is a gas giant
with several rings
Constants
Despite being red, Mars
is a cold place
Topic and details
5xy + 3y + 7
5xy 3y 7
5 x y 3 y
Algebraic expression
Terms
Factors
Topic and details
Algebraic expressions
Like terms Unlike terms
2xy + 5xy
2xy 5xy
2 x y 5 x y
-7x + 4y
-7x 4y
-7 x 4 y
2x2 + 5xy + 4yz
Diagram
Algebraic
expressions
Monomial
Binomial
Trinomial
2x2 + 5xy
2x2
4x + 16 = 25 - 3x
Problem
Solution
Neptune is the fourth-
largest planet in the Solar
System
Despite being red, Mars
is actually a cold place.
It's full of iron oxide dust
Problem vs solution
4x + 16 = 25 - 3x
4x + 3x = 25 - 16
7x = 9
x = 9/7
Question
Answer
Question and answer
5x + 15 = 65
5x + 15 = 65
5x/5 + 15/5 = 65/5
X + 3 = 13
X+ 3 - 3 = 13 - 3
X = 10
Exercise
1.
x - 4
x + 3
x - 2
x
x - 1
a + 12
a + 8
a
2.
Find the perimeter of each of the following figures:
Assignment
Writing equations from word problems:
1. You can buy 5 small pizzas for the
same price as 3 small pizzas and
10 one-dollar drinks. How much
does each pizza cost?
2. The vet put 2 groups of kittens in
a cage with other kittens. She also
put 3 groups of puppies in the
next cage with other puppy. How
many animals are in each group?
5a = 3a + 10
5a - 3a = 10
2a = 10
a = 5
Cost of each small pizza = $5
answer
You can buy 5 small
pizzas for the same
price as 3 small pizzas
and 10 one-dollar
drinks. How much does
each pizza cost?
(2 + k) + (3 + p)
answer
The vet put 2 groups of
kittens in a cage with other
kittens. She also put 3
groups of puppies in the
next cage with other
puppies. How many animals
are in each group?
8(x−7)−3(x+2)
Simplify this exercise:
You can solve
the exercises!
CREDITS: This presentation template was created by Slidesgo, and
includes icons by Flaticon and infographics & images by Freepik
Do you have
any questions?
Thanks!

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Day 1 Expressions & Equations.pptx

  • 2. You can give here a brief description of the topic you want to talk about. For example, if you want to talk about Mercury, you can say that it’s the smallest planet in the entire Solar System Introduction
  • 3. Arithmetic Only numbers and mathematical operators Fractional Fractional numbers and mathematical operators Algebraic Variables, numbers, and mathematical operators Types of expressions
  • 4. Distributive multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation. a ( b + c) = ab + ac Associative involving the condition that a group of quantities connected by operators gives the same result whatever their grouping, as long as their order remains the same, e.g., ( a × b ) × c = a × ( b × c ). Commutative involving the condition that a group of quantities connected by operators gives the same result whatever the order of the quantities involved, e.g., a × b = b × a. Definition of concepts
  • 5. 5y+3 This is an expression 5y+3=6 This is an equation Expression vs. equation
  • 6. You can replace the image on the screen with your own work. Just right-click on it and select “Replace image” Watch this example
  • 7. Parts of an equation Variable Mercury is the closest planet to the Sun Operator Saturn is a gas giant with several rings Constants Despite being red, Mars is a cold place
  • 8. Topic and details 5xy + 3y + 7 5xy 3y 7 5 x y 3 y Algebraic expression Terms Factors
  • 9. Topic and details Algebraic expressions Like terms Unlike terms 2xy + 5xy 2xy 5xy 2 x y 5 x y -7x + 4y -7x 4y -7 x 4 y
  • 10. 2x2 + 5xy + 4yz Diagram Algebraic expressions Monomial Binomial Trinomial 2x2 + 5xy 2x2
  • 11. 4x + 16 = 25 - 3x Problem Solution Neptune is the fourth- largest planet in the Solar System Despite being red, Mars is actually a cold place. It's full of iron oxide dust Problem vs solution 4x + 16 = 25 - 3x 4x + 3x = 25 - 16 7x = 9 x = 9/7
  • 12. Question Answer Question and answer 5x + 15 = 65 5x + 15 = 65 5x/5 + 15/5 = 65/5 X + 3 = 13 X+ 3 - 3 = 13 - 3 X = 10
  • 13. Exercise 1. x - 4 x + 3 x - 2 x x - 1 a + 12 a + 8 a 2. Find the perimeter of each of the following figures:
  • 14. Assignment Writing equations from word problems: 1. You can buy 5 small pizzas for the same price as 3 small pizzas and 10 one-dollar drinks. How much does each pizza cost? 2. The vet put 2 groups of kittens in a cage with other kittens. She also put 3 groups of puppies in the next cage with other puppy. How many animals are in each group?
  • 15. 5a = 3a + 10 5a - 3a = 10 2a = 10 a = 5 Cost of each small pizza = $5 answer You can buy 5 small pizzas for the same price as 3 small pizzas and 10 one-dollar drinks. How much does each pizza cost?
  • 16. (2 + k) + (3 + p) answer The vet put 2 groups of kittens in a cage with other kittens. She also put 3 groups of puppies in the next cage with other puppies. How many animals are in each group?
  • 18. You can solve the exercises!
  • 19. CREDITS: This presentation template was created by Slidesgo, and includes icons by Flaticon and infographics & images by Freepik Do you have any questions? Thanks!