Linear Functions Practice

Practice Set 2 - DOK 2 Applications

Connect tables, equations, graphs, and contexts.

This set asks students to interpret and write linear models from several representations.

How to use this set

Before calculating, decide which representation you have: table, equation, graph, or story. Then translate to slope and intercept.

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Set Focus

Applied linear reasoning

DOK 2 questions usually require one connection before the computation.

Tables

Use row changes to find constant rates.

Models

Compare slope and intercept across functions.

Contexts

Interpret rates and starting values in words.

Technology checks

Use Desmos or substitution to verify points.

Practice Questions

Tables, Models, and Equations

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

Question 1

Rate from a table

Use the table to find the rate of change.

Linear table

x	y
0	4
2	10
4	16
6	22

Question 2

Write an equation

A line has slope -2 and passes through (0, 9). Which equation represents the line?

Question 3

Compare models

Function A is y = 5x + 2. Function B has values (0, 2), (1, 8), and (2, 14). Which function has the greater rate of change?

Question 4

Interpret slope

A tutoring plan costs C = 40 + 18h, where h is the number of hours. What does 18 mean?

Question 5

Write from two points

Which equation represents the line through (1, 7) and (3, 15)?

Question 6

Model from a table

Which equation matches the table?

Values

x	y
0	-1
1	2
2	5
3	8

Question 7

Parallel equation

Which equation is parallel to y = -4x + 6 and passes through (0, -3)?

Question 8

Graph to equation

Which equation matches the graphed line?

Graph with intercept and point

Question 9

Solve for an input

The model p = 12 + 4w gives points after w weeks. After how many weeks will the total be 40?

Question 10

Calculator check

A student enters y = 1.5x + 4 in Desmos. Which point should appear on the line?

Desmos tip: type the equation, then check a point by substituting its x-value or adding the point as an ordered pair.

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