Algebra Video Presentation

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Slide 1  Math – Algebra Basics
 Mr. Gore
 SainteAgathe Academy

Slide 2  Algebra
 When we don’t know the value of a number, we assign a symbol or a letter to the unknown value
 For example, if we’re going to go on a field trip and it’s unknown at the beginning how many students are going, we might say that there are‘x’ amount of students going

Slide 3  Algebra
 This means that if we have 30 students in the class, ‘x’ could potentially mean 30
 However, if five people can’t go for various reasons, the ‘x’ could also represent 25 students

Slide 4  Algebra
 If the trip to the museum costs $7, we still need to figure out the total cost
 At the beginning, this might be difficult if we don’t know exactly how many students are going, we can still come up with an equation that allows us to represent the cost of the trip

Slide 5  Algebra
 In this case, the equation would be:
 7(x) or 7x
 The 7 represents the cost of each ticket
 The ‘x’ represents the amount of students
 Therefore, we can actually figure out the cost and adjust accordingly depending on our final numbers
 7(30) = $210
 7(25) = $175

Slide 6  Algebra
 However, algebra isn’t just about multiplication; it works in other ways too
 On the field trip, we also have to worry about the costs of transportation
 Luckily for us, the cost of the bus is fixed; meaning that no matter how many students go, the bus will always be the same price

Slide 7  Algebra
 The bus company informs us that the cost of the bus is $400
 So, no matter how many students go on the trip, the bus will always be $400
 Therefore, our equation now looks like this:
 7x + 400
  we still have the 7x from before
  the $400 will stay the same even if there’s a change in students

Slide 8  Algebra
 Therefore, our equation now looks like this:
 7x + 400
 If we have 30 students going, we would have:
 7(30) + 400 = 210 + 400 = $610
 If we have 25 students going, we would have:
 7(25) + 400 = 175 + 400 = $575
 Don’t forget your order of operations (BEMDAS)

Slide 9  Definitions
 Terms
 They can represent single numbers (constant terms)
 For example: 3, 5.2, ½, 42
 They can also represent a product of numbers and letters
 For example, 3a, 0.5b, 6c, 4x3, y
 When we have two terms together that contain the same variables, we call them like terms
 For example: 3a and 4a, 5x2 and 20x2*NOTE: For variables with exponents to be considered like terms, the exponents need to be identical

Slide 10  Algebra
 Coefficient
 It is the number that is in front of the variable
 For example, 5x + 4y 5 and 4 are the coefficients