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# Tables of values - easier
- URL: https://www.esheets.io/tables-of-values-easier/
- Published: 2025-09-13T11:39:53.000Z
- Updated: 2026-06-21T17:04:32.000Z
- Author: Richard Linnington
- Tags: Maths, Algebra

Tables of values help us see how a function works — a bit like a machine where you put numbers in and get numbers out. Just like predicting the next score in a video game or the cost of items in a shop, filling in tables of values helps us spot patterns and understand how inputs and outputs are connected. [Jump to the questions](#practise-now)

## Practise now

Worksheet preview and key skills 

### Worksheet preview

Practise tables of values with this self-marking maths worksheet.

The interactive worksheet below generates questions, gives instant feedback, and lets students record their score.

#### What you’ll practise

- Substituting x-values into a formula.
- Calculating matching y-values.
- Completing a table of values.
- Preparing points for drawing a graph.

Use the interactive worksheet below, or read the [Topic guide](#topic-guide) for the method and worked example.

Complete the tables of values for `0 ≤ x ≤ 3` for each function.

## Topic guide

### What this worksheet practises

This worksheet provides practice on completing tables of values for simple linear graphs (e.g. y = 2x + 1). A table of values is just a list of coordinates that you calculate so you can draw the graph correctly.

### Key method

To fill in the table, you must substitute the 'x' numbers into the equation one at a time to find their matching 'y' partners.

- Look at the equation given (e.g. y = 3x − 2).
- Take the first 'x' value from the top row of your table.
- Substitute that number in place of the 'x' in the equation. Remember that a number next to a letter means multiply (3x means 3 times x).
- Calculate the answer. This is your 'y' value. Write it in the empty box underneath.
- Repeat this for every 'x' number in the table.

### Worked example

**Complete the table of values for y = 2x + 4.**

**x values: 0, 1, 2**

Step 1: Calculate the y value when x = 0.

y = 2(0) + 4   
y = 0 + 4 = 4\.   
(Write 4 under the 0).

Step 2: Calculate the y value when x = 1.

y = 2(1) + 4   
y = 2 + 4 = 6\.   
(Write 6 under the 1).

Step 3: Calculate the y value when x = 2.

y = 2(2) + 4   
y = 4 + 4 = 8\.   
(Write 8 under the 2).

The completed y-row is: 4, 6, 8.

### Common mistakes to avoid

The most common mistake happens when dealing with negative 'x' numbers. If the equation is y = 3x + 2, and x is −1, students sometimes calculate 3 × 1 = 3, and then add 2 to get 5\. This ignores the negative sign entirely. You must calculate 3 × (−1) = −3, and then add 2 to get −1.

### How to check your answer

For a straight line graph (a linear equation with no x²), the numbers in the 'y' row will always form a perfect sequence with a constant gap. In our example, the sequence was 4, 6, 8 (going up by 2 every time). This matches the "2" in front of the x in y = 2x + 4\. If your numbers do not form a regular pattern, you have made a calculation error.