Let’s solve each problem step by step. We are given a function and an x-value, and we need to find the corresponding y-value by plugging in x into the function. Then write the answer as an ordered pair: (x, y).
---
Problem 1:
Function: h(x) = -8x - 3
Given: x = -1
Plug in x = -1:
h(-1) = -8*(-1) - 3 = 8 - 3 = 5
→ Ordered pair: (-1, 5)
---
Problem 2:
Function: f(x) = 3x + 3
Given: x = 7
f(7) = 3*7 + 3 = 21 + 3 = 24
→ Ordered pair: (7, 24)
---
Problem 3:
Function: h(x) = 5x - 2
Given: x = -27/8
h(-27/8) = 5*(-27/8) - 2 = -135/8 - 2
Convert 2 to eighths: 2 = 16/8
So: -135/8 - 16/8 = -151/8
→ Ordered pair: (-27/8, -151/8)
---
Problem 4:
Function: f(x) = 5x + 8
Given: x = 13/21
f(13/21) = 5*(13/21) + 8 = 65/21 + 8
Convert 8 to twenty-firsts: 8 = 168/21
So: 65/21 + 168/21 = 233/21
→ Ordered pair: (13/21, 233/21)
---
Problem 5:
Function: f(x) = -12 - x/10
Given: x = 20
f(20) = -12 - 20/10 = -12 - 2 = -14
→ Ordered pair: (20, -14)
---
Problem 6:
Function: g(x) = 8 - x/4
Given: x = 16
g(16) = 8 - 16/4 = 8 - 4 = 4
→ Ordered pair: (16, 4)
---
Problem 7:
Function: g(x) = -25 - 12/x
Given: x = -3
g(-3) = -25 - 12/(-3) = -25 - (-4) = -25 + 4 = -21
→ Ordered pair: (-3, -21)
---
Problem 8:
Function: f(x) = -12 - 14/x
Given: x = 2
f(2) = -12 - 14/2 = -12 - 7 = -19
→ Ordered pair: (2, -19)
---
Final Answer:
1. (-1, 5)
2. (7, 24)
3. (-27/8, -151/8)
4. (13/21, 233/21)
5. (20, -14)
6. (16, 4)
7. (-3, -21)
8. (2, -19)
Parent Tip: Review the logic above to help your child master the concept of evaluating linear functions worksheet.
