Input-Output Rules - ISEE Lower Level Quantitative Reasoning

1. What is the output rule for inputs $2,3,5$ giving outputs $7,10,16$?

   $y=3x+1$. Outputs are three times the input plus 1.

2. What is the output rule for inputs $1,2,3$ giving outputs $3,5,7$?

   $y=2x+1$. Outputs are twice the input plus 1.

3. What is the output rule for inputs $2,4,6$ giving outputs $6,12,18$?

   $y=3x$. Outputs result from multiplying each input by 3.

4. What is the output rule for inputs $2,4,8$ giving outputs $1,2,4$?

   $y=cfrac{x}{2}$. Outputs are half of the inputs.

5. What is the output rule for inputs $2,3,4$ giving outputs $5,10,17$?

   $y=x^2+1$. Outputs are the square of the input plus 1.

6. What is the output rule for inputs $0,1,2$ giving outputs $5,7,9$?

   $y=2x+5$. Outputs are calculated by doubling the input and adding 5.

7. What is the output rule for inputs $1,2,3$ giving outputs $6,9,12$?

   $y=3x+3$. Outputs are three times the input plus 3.

8. What is the output rule for inputs $1,2,3$ giving outputs $10,8,6$?

   $y=12-2x$. Outputs are 12 minus twice the input.

9. What is the output rule for inputs $1,2,3$ giving outputs $1,0,1$?

   $y=(x-2)^2$. Outputs are the square of the difference between the input and 2.

10. What is the output rule for inputs $0,2,4$ giving outputs $1,5,9$?

    $y=2x+1$. Outputs are twice the input plus 1.

11. What is the output rule for inputs $1,2,3$ giving outputs $2,6,12$?

    $y=x(x+1)$. Outputs are the product of the input and the next integer.

12. What is the output rule for inputs $-2,-1,0$ giving outputs $4,1,0$?

    $y=x^2$. Outputs are the squares of the inputs, yielding non-negative results even for negative inputs.

13. What is the output rule for inputs $1,3,5$ giving outputs $2,6,10$?

    $y=2x$. Outputs are twice the inputs.

14. What is the output rule for inputs $-1,0,1$ giving outputs $-4,-1,2$?

    $y=3x-1$. Outputs are three times the input minus 1.

15. What is the output rule for inputs $1,2,3$ giving outputs $4,5,6$?

    $y=x+3$. Each output is obtained by adding 3 to the corresponding input.

16. What is the output rule for inputs $-1,0,1$ giving outputs $1,3,5$?

    $y=2x+3$. Outputs are twice the input plus 3.

17. What is the output rule for inputs $1,2,4$ giving outputs $2,4,8$?

    $y=2x$. Outputs are double the inputs.

18. What is the output rule for inputs $1,2,3$ giving outputs $1,4,9$?

    $y=x^2$. Outputs are the squares of the inputs.

19. What is the output rule for inputs $1,2,3$ giving outputs $-1,-2,-3$?

    $y=-x$. Outputs are the negatives of the inputs.

20. What is the output rule for inputs $1,2,3$ giving outputs $5,8,11$?

    $y=3x+2$. Outputs are three times the input plus 2.

21. What is the output rule for inputs $2,3,4$ giving outputs $9,11,13$?

    $y=2x+5$. Outputs are twice the input plus 5.

22. What is the output rule for inputs $1,2,3$ giving outputs $4,7,10$?

    $y=3x+1$. Outputs are three times the input plus 1.

23. What is the output rule for inputs $1,2,3$ giving outputs $0,1,2$?

    $y=x-1$. Outputs are the inputs decreased by 1.

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