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Free ACT Modeling practice questionsEnhanced ACT, 2026 format

Build or interpret an equation that models a described situation, then use it to predict a value or explain what a number in the model means.

Answer each question, then read why the right answer is right and why the tempting one is wrong.

Question 1

Math

A researcher plots the number of hours students slept before an exam (x) against their exam scores (y) and finds the line of best fit y = 6.5x + 41. One student slept 7 hours and scored 92. What is the difference between this student's actual score and the score predicted by the line?

Question 2

Math

A tree was 6 feet tall when it was planted and 11 feet tall 4 years later. Assuming the tree grows at a constant rate, which of the following expressions gives the height of the tree, in feet, t years after it was planted?

Question 3

Math

A car was bought for $24,000. Its value decreases by 15% of its value at the start of each year. To the nearest dollar, what is the value of the car 3 years after it was bought?

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