MathAlgebra

# Algebra Video Presentation

Created 3 years ago

Duration 0:11:54
39
Slide Content
Tags: Math Algebra

• Mr. Gore
2. ### 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
3. ### 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
4. ### 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
5. ### 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
6. ### 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
7. ### 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
8. ### 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)
9. ### 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
10. ### 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