Dependent and Independent Variables - Worksheet 8 - 6th Grade

Hard

Analyze relationships between dependent and independent variables using tables and graphs (Hard)

15 problems · 20-30 minutes · Skills: equations, functions, graphing

About This Worksheet

This hard-level worksheet contains 15 problems designed for 6th Grade students practicing dependent and independent variables. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Understanding how one variable depends on another is the foundation of functions and mathematical modeling. This concept bridges arithmetic and algebra, and is one of the most frequently tested ideas in middle and high school mathematics.

  • Identify the independent variable (input) and dependent variable (output) in a relationship
  • Create tables of values and graph relationships on a coordinate plane
  • Write equations that describe the relationship between two variables
  • Determine how the dependent variable changes as the independent variable increases
  • Analyze a graph to describe how y responds to changes in x

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
14 + 6 =
2
14 + 6 =
3
15 + 6 =
4
13 + 8 =
5
12 + 9 =
6
4 + 18 =
7
16 + 11 =
8
10 + 6 =
9
17 + 13 =
10
19 + 11 =
11
7 + 4 =
12
10 + 8 =
13
2 + 2 =
14
14 + 18 =
15
14 + 2 =

Answer Key

1. 202. 203. 214. 215. 216. 227. 278. 169. 3010. 3011. 1112. 1813. 414. 3215. 16

Frequently Asked Questions

How do I download this dependent and independent variables - worksheet 8 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this expressions and equations worksheet cover?

This worksheet focuses on equations, functions, graphing. It is designed for 6th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 15 problems. It typically takes 20-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.