ISEE Lower Level Quantitative Reasoning Flashcards: Input Output Rules

What this deck covers

This deck focuses on Input Output Rules, giving you a quick way to review the definitions, rules, and examples that matter most for ISEE Lower Level Quantitative Reasoning.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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