This free printable Grade 6 mathematics worksheet helps students solve one-step equations with algebra tiles. Through 10 multiple-choice questions, students identify the goal of solving an equation, recognize a variable as a letter representing an unknown value, interpret tile models, and select the correct solution model for equations such as x + 6 = 2 and x − 6 = 2.
The questions guide students through the algebra-tile process: adding negative tiles to both sides, forming and removing zero pairs, isolating the variable, and using tiles to choose a solution. It is useful for introducing or reinforcing pre-algebra concepts, checking whether students understand the visual model behind inverse operations, or reviewing procedural steps before moving to symbolic equations. A complete answer key is included for efficient checking.
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Worksheets
Algebra tiles and 1 step equations
Total questions: 10
Name
Class
Date
1.
What is the goal when solving an equation?
a)
To make zero pairs
b)
To isolate the variable
c)
To justify my answer
2.
What is a variable?
a)
A number that represents an unknown value
b)
A letter that represents an unknown value
3.
Which model represents X + 6 = 2 ?
a)
b)
c)
4.
What would be the next step?
a)
Take away the 6 positives on the left so that the variable is isolated.
b)
Bring in 6 negatives on the left.
c)
Bring in 6 negatives to each side.
d)
Leave it alone
5.
Which model represents "bring in 6 negatives to each side"?
a)
b)
c)
d)
6.
What would be the next step?
a)
Make zero pairs on the left and remove them
b)
Make zero pairs on both sides and remove them
c)
Make zero pairs on the right and remove them
d)
Leave it alone
7.
What is the solution model for X -6 =2 ?
a)
b)
c)
d)
8.
Use you tiles to find the correct solution
a)
b)
c)
d)
9.
Which model represents this equation?
a)
b)
c)
d)
10.
Use your tiles to choose the correct solution for this equation.
a)
b)
c)
d)
Answer Key
Algebra tiles and 1 step equations
Total questions: 10
1.
b)
To isolate the variable
2.
b)
A letter that represents an unknown value
3.
a)
4.
c)
Bring in 6 negatives to each side.
5.
d)
6.
b)
Make zero pairs on both sides and remove them
7.
d)
8.
d)
9.
c)
10.
b)
140 %
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FAQs
What does this algebra tiles worksheet cover?
This Grade 6 worksheet covers solving one-step equations with algebra tiles, including x + 6 = 2 and x − 6 = 2 models. Its 10 multiple-choice questions ask students to identify variables, determine the goal of isolating the variable, add tiles to both sides, form and remove zero pairs, and select the model or solution that represents each step.
How can I use this worksheet to teach one-step equations with algebra tiles?
Introduce the worksheet by modeling how to represent the variable and constants with tiles, then demonstrate why the same tiles must be added to both sides. Use the questions about bringing in negative tiles and removing zero pairs as checkpoints, asking students to explain how each move keeps the equation balanced before they select an answer.
What mistakes should I watch for when students complete this algebra tiles worksheet?
Watch for students trying to remove the positive 6 from only the left side instead of adding six negative tiles to both sides. Students may also make zero pairs on just one side, choose a model that does not show equal changes on both sides, or confuse the variable tile with the constant tiles when identifying the solution.
How do I assign and grade this algebra tiles worksheet?
The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 10 multiple-choice questions. For printable submissions, scan student work with the Wayground for Teachers app to help grade responses efficiently.
How can I differentiate this algebra tiles worksheet for my students?
In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the algebra-tile models and multiple-choice options easier to follow. You can also apply a dyslexia-friendly font or translate the worksheet into another language when that supports access to the visual equation steps.
Where can I find more worksheets like this on Wayground?
Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.