IAAT - Iowa Algebra Aptitude Formulating Rules from Data Questions and Answers

Question 1

The table below shows a relationship between an input, x, and an output, y. Which equation correctly describes this relationship?

Accepted Answer

y = x² + 2

Answer

y = 4x - 1

Answer

y = 2x + 1

Answer

y = 3x

Question 2

A cell phone plan costs $40 per month, which includes 5 GB of data. Any additional data costs $10 per GB. Which equation represents the total monthly cost (C) for a user who uses 'g' gigabytes of data, where g is greater than 5?

Accepted Answer

C = 40 + 10(g - 5)

Answer

C = 40 + 10g

Answer

C = 10(g - 5)

Answer

C = 50g

Question 3

A function machine follows the rule: 'multiply the input by 4, then subtract 7'. If the output of the machine is 53, what was the input?

Accepted Answer

15

Answer

13.25

Answer

205

Answer

11

Question 4

The scatter plot shows the relationship between the number of hours students spent reviewing for a science exam and their exam scores. Which statement best describes the relationship shown in the data?

Accepted Answer

As review time increases, the exam score tends to increase.

Answer

There is no relationship between review time and exam score.

Answer

Spending more time reviewing causes exam scores to decrease.

Answer

All students who reviewed for 4 hours got the same score.

Question 5

Two rival companies offer video game streaming services. Company X charges a $10 monthly fee and $3 per game downloaded. Company Y charges a flat fee of $25 per month for unlimited game downloads. For what number of games downloaded per month is the cost of both services exactly the same?

Accepted Answer

5 games

Answer

3 games

Answer

4 games

Answer

6 games

Question 6

A pattern is built with square tiles. Figure 1 has 2 tiles, Figure 2 has 5 tiles, and Figure 3 has 10 tiles. Which rule can be used to find the number of tiles, T, in any Figure, n?

Accepted Answer

T = n² + 1

Answer

T = 3n - 1

Answer

T = n + 1

Answer

T = 2n² - 1