Grade 8 Linear Tables Worksheet
This worksheet helps 8th-grade students practice identifying linear relationships from tables, calculating slope, and writing linear equations.
Includes
Standards
Grade 8 Linear Tables Worksheet
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
Identifying Linear Relationships
1. Determine if the following table represents a linear relationship. Explain your reasoning.
x | y --|-- 1 | 5 2 | 8 3 | 11 4 | 14
Calculating Slope
2. Calculate the slope of the line represented by the table below.
x | y --|-- -2 | 10 0 | 4 2 | -2 4 | -8
Writing Linear Equations
3. Write the equation of the line in y = mx + b form for the table below.
x | y --|-- -1 | 0 0 | 2 1 | 4 2 | 6
4. Which of the following tables represents a linear relationship?
x | y --|-- 0 | 0 1 | 1 2 | 4
x | y --|-- 0 | 5 1 | 4 2 | 3
x | y --|-- 0 | 1 1 | 2 2 | 4
x | y --|-- 0 | 0 1 | 3 2 | 8
Problem Solving
5. A car rental company charges a flat fee of $30 plus $0.50 per mile driven. Complete the table and write an equation to represent the total cost (y) for miles driven (x).
Miles (x) | Cost (y) ----------|--------- 10 | 20 | 30 |
Equation:
If a customer drives 100 miles, what will be the total cost?
6. True or False: A table represents a linear relationship if the ratio of y to x is constant.
True
False