Podcast
Questions and Answers
For the function $y = 5x + 3$, if the input $x$ is 2, what is the corresponding output $y$?
For the function $y = 5x + 3$, if the input $x$ is 2, what is the corresponding output $y$?
13
Given the function $y = 3x - 2$, determine the value of $x$ if $y$ is equal to 7.
Given the function $y = 3x - 2$, determine the value of $x$ if $y$ is equal to 7.
3
For the function $m = \frac{n-8}{4}$, if $n = 20$, what is the value of $m$?
For the function $m = \frac{n-8}{4}$, if $n = 20$, what is the value of $m$?
3
Given the function $y = \frac{1}{2}x - 5$, what is the output $y$ when the input $x$ is 10?
Given the function $y = \frac{1}{2}x - 5$, what is the output $y$ when the input $x$ is 10?
If $y = n^2 + 3$ and $n=4$, what is the value of $y$?
If $y = n^2 + 3$ and $n=4$, what is the value of $y$?
A gym charges a membership fee of $150 plus $80 per month. If $m$ represents the number of months, write an equation for the total cost, $C$, as a function of $m$.
A gym charges a membership fee of $150 plus $80 per month. If $m$ represents the number of months, write an equation for the total cost, $C$, as a function of $m$.
If the input to a function is divided by 3 and then 4 is added, express the output $y$ in terms of the input $x$.
If the input to a function is divided by 3 and then 4 is added, express the output $y$ in terms of the input $x$.
A function takes an input, adds 7 to it, and then multiplies the result by 3. Write $y$ as a function of $x$, where $x$ is the input and $y$ is the output.
A function takes an input, adds 7 to it, and then multiplies the result by 3. Write $y$ as a function of $x$, where $x$ is the input and $y$ is the output.
A function adds 10 to the input and then divides the result by 2. Write $y$ as a function of $x$.
A function adds 10 to the input and then divides the result by 2. Write $y$ as a function of $x$.
Given the function that multiplies an input $m$ by 3 and then adds 9 to get $n$, express $n$ in terms of $m$.
Given the function that multiplies an input $m$ by 3 and then adds 9 to get $n$, express $n$ in terms of $m$.
A function multiplies an input $m$ by 4 and then adds 10 to get $n$. Express $n$ in terms of $m$.
A function multiplies an input $m$ by 4 and then adds 10 to get $n$. Express $n$ in terms of $m$.
What are the two operations performed on $x$ to obtain $y$ in the function $y = 5x + 3$?
What are the two operations performed on $x$ to obtain $y$ in the function $y = 5x + 3$?
What two operations are performed on $x$ to obtain $y$ in the function $y = 3x - 2$?
What two operations are performed on $x$ to obtain $y$ in the function $y = 3x - 2$?
Given the function $m = \frac{n-8}{4}$, describe the two operations performed on $n$ to get $m$.
Given the function $m = \frac{n-8}{4}$, describe the two operations performed on $n$ to get $m$.
In the function $y = \frac{1}{2}x - 5$, what operations are performed on $x$ to obtain $y$?
In the function $y = \frac{1}{2}x - 5$, what operations are performed on $x$ to obtain $y$?
Describe the two operations performed on $n$ to calculate $y$ in the function $y = n^2 + 3$.
Describe the two operations performed on $n$ to calculate $y$ in the function $y = n^2 + 3$.
For the function where the input is divided by 3 and then 4 is added ($y = \frac{x}{3} + 4$), if the output $y$ is 7, what is the input $x$?
For the function where the input is divided by 3 and then 4 is added ($y = \frac{x}{3} + 4$), if the output $y$ is 7, what is the input $x$?
For the function that adds 7 to the input, then multiplies by 3 ($y = 3(x+7)$), given $y = 30$, what is the input $x$?
For the function that adds 7 to the input, then multiplies by 3 ($y = 3(x+7)$), given $y = 30$, what is the input $x$?
In the function that adds 10 and divides by 2, find x if y = 9, given that $y = \frac{x+10}{2}$
In the function that adds 10 and divides by 2, find x if y = 9, given that $y = \frac{x+10}{2}$
In the function $n = 3m + 9$, what is the value of the input $m$ if $n$ is 21?
In the function $n = 3m + 9$, what is the value of the input $m$ if $n$ is 21?
Flashcards
y = 5x + 3
y = 5x + 3
A function multiplies the input 'x' by 5 and then adds 3 to get the output 'y'.
y = 3x - 2
y = 3x - 2
A function multiplies the input 'x' by 3 and then subtracts 2 to get the output 'y'.
m = (n - 8) / 4
m = (n - 8) / 4
This function subtracts 8 from 'n' and then divides the result by 4 to yield 'm'.
y = (1/2)x - 5
y = (1/2)x - 5
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y = n² + 3
y = n² + 3
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C = 80m + 150
C = 80m + 150
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y = x/3 + 4
y = x/3 + 4
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y = (x + 7) * 3
y = (x + 7) * 3
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y = (x + 10) / 2
y = (x + 10) / 2
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n = 3m + 9
n = 3m + 9
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n = 4m + 10
n = 4m + 10
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Study Notes
- The notes are about functions.
Functions (Tuesday, March 25th, 2025)
- y = 5x + 3 = x → [x 5] → [+ 3] → y, where y is the output and x is the input.
- y = 3x - 2 = x → [x 3] → [- 2] → y, where y is the output and x is the input.
- m = (n - 8) / 4 = n → [- 8] → [÷ 4] → m
- y = 1/2x - 5 = x → [÷ 2] → [- 5] → y
- y = n² + 3 = n → [x n] → [+ 3] → y
- Gym membership costs $150 + $80 per month, m → [x 80] → [+ 150] → C, where C is the total cost.
Functions (Thursday, March 27th, 2025)
- Input x → [÷ 3] → [+ 4] → output y which means y = x ÷ 3 + 4 or y = x/3 + 4
- Input x → [+ 7] → [x 3] → output y which means y = (x + 7) x 3
- Input → [+ 10] → [÷ 2] → output y which means y = (x + 10) ÷ 2
- m → [x 3] → [+ 9] → n, so n = 3m + 9
- m → [x 4] → [+ 10] → n, so n = 4m + 10
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