Patterns
If you were to magically double your money everyday, what would the pattern expression look like?(You have 1$ to begin with)
2n
What is x
12 + x = 24
x = 12
What does n represent?
Term number
If I create an expression for my height as I grow throughout the year, what does the 150 represent?
10n+150
The constant / How tall I already was
Solve
(-8) x (-8) =
36
The temperature drops by 3.5 degrees every day. What is the algebraic expression?
-3.5n
What is x
21 + 12 = 11x
x = 3
Define constant and variable
Variable: The part of the pattern that changes as term number changes (over time)
Constant: The part of the pattern that doesn't change
You drive an average of 80km/hour, how many hours will you have to drive to reach 720km
9 hours
What is the equation from this word problem? Solve it
If you were to lose 34 apples every day, how many apples would you have lost in 2 days?
(-34) x 2 = -68
A building is continually growing (adding more stories/floors) with an expression of 1n+2. When n=5, how many floors will the building have.
1(5)+2
5+2
What is x
x = (25x3) + 50 - 2
x = 123
What is the difference between an expression and an equation?
Equation has an equal sign, expression doesnt
If a plant grows at a rate of 23cm / day , and it was already 140cm, what is the expression for the pattern?
23n+140
What are the rules for multiplying/dividing a negative number with another negative number?
The answer is always positive
If you lost $16 a day, while having 200$ in the bank already, what would the expression be?
-16n+200
what is x
6.4 + (-22.4) = x
x = 16
What is wrong with this equation?
56 - 10 = 32 + 15
Left side does not equal right side
650 elixir
Solve
4 x 9 ÷ (-12)
4 x 9 ÷ (-12)
36 ÷ (-12)
= -3
What would the expression be for someone that was $700 in debt, and made $34 every day?
34n-700
What is x
200 - x = 100x2
x = 0
What happens to the following equation? No need to fully solve
10x + 19x = 108
Add 10x and 19x to make 19x
You go outside and planted some red grass in your backyard. You track the area of the red grass every year. Year 1: 1m² / Year 2: 4m² / Year 3: 9m² / Year 4: 12m² / Year 5: 25m²
What is the expression
n²
(-10) x (17-30) + 44
(-10) x (17-30) + 44
(-10) x (-13) + 44
130 + 44 = 174