Practice Set 3 - DOK 3 Analysis

Choose, justify, and interpret linear models.

These questions ask students to explain why a model fits, compare options, and reason from context.

How to use this set

Pause before answering and say the reason out loud: constant rate, starting value, same slope, or opposite reciprocal.

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Set Focus

Linear analysis and justification

DOK 3 questions reward a clear mathematical reason, not longer arithmetic.

Model choice

Choose equations that match realistic contexts.

Error analysis

Correct slope and sign mistakes.

Interpretation

Explain slopes, domains, and intersections.

Justification

Use precise linear reasoning to defend an answer.

Practice Questions

Analysis and Model Choice

Check your answer first, then reveal the explanation when you want the model.

Question 1

Choose a model

A gym charges \$25 to join and \$8 per class. Which model best represents total cost C for n classes?

Question 2

Evaluate a claim

A student says the slope from (1, 10) to (5, 2) is 2. What is the best correction?

Question 3

Compare plans

Plan A costs 12 + 3m. Plan B costs 5m. For which value of m do the plans cost the same?

Question 4

Best representation

A line passes through (4, -1) with slope \frac{3}{2}. Which form is most efficient to write first?

Question 5

Model fit

Which table is most clearly linear?

Question 6

Context domain

A school buys boxes of pencils. The cost model is C = 18 + 4b, where b is the number of boxes. Which domain makes sense?

Question 7

Perpendicular reasoning

Line A has slope \frac{2}{5}. Line B is perpendicular to Line A and crosses the y-axis at -1. Which equation represents Line B?

Question 8

Line of fit

A scatter plot shows points increasing in a nearly straight pattern. Which model choice is most reasonable?

Question 9

Interpret intersection

Two linear cost models intersect at (10, 85). What does this point mean?

Question 10

Justify an equation

A line goes through (0, 6) and (2, 0). Which answer gives the equation and a correct reason?

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