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Area of Algebra Tiles - Printable Mathematics Worksheets - Wayground

Area of Algebra Tiles

21 questions

6th - 6th Grade

Mathematics

Area of Algebra Tiles is a Grade 6 mathematics worksheet that helps students connect visual algebra tiles with area expressions. Students identify individual tiles, including x, x², and numerical tiles, then determine the total area represented by tile arrangements using expressions such as 2x² + 2x and x² + x + 1. The worksheet includes 21 questions: 19 multiple-choice items and 2 multiple-select items. This free printable worksheet gives students repeated practice reading algebraic representations and distinguishing the contributions of variable and constant tiles. It is useful for introducing or reinforcing how an arrangement of tiles represents a polynomial expression, while the varied answer choices help reveal whether students are counting the correct tile types and terms. A complete answer key is included, making the worksheet practical for independent work, guided practice, homework, or review.

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Worksheets

Area of Algebra Tiles

Total questions: 21

Name
Class
Date
1.

What is the area of the algebra tiles?

a)

2x2 + 2x

b)

6x2 + 4

c)

2x + 2

d)

10x

2.

What is the area of the algebra tiles?

a)

4x2 + 2

b)

2x2 + 2

c)

6x + 6

d)

2x2 + 2x + 2

3.

What is the area of the algebra tiles?

a)

6x + 6

b)

6x + 4

c)

2x2 + 4

d)

2x2 + 6

4.

What is the area of the algebra tiles?

a)

2x + 9

b)

2x + 1

c)

2x + 6

d)

2x + 3

5.

What is the area of the algebra tiles?

a)

4x2 + 2x + 4

b)

4x + 5

c)

x2 + x+ 1

d)

4x + 4

6.

What is the name of this tile?

a)

x

b)

y

c)

x2

d)

y2

e)

1

7.

What is the name of this tile?

a)

x

b)

xy

c)

x2

d)

y2

e)

1

8.

What is the name of this tile?

a)

x

b)

y

c)

x2

d)

y2

e)

1

9.

What is the name of this tile?

a)

1

b)

5

c)

x

d)

y

10.

What is the area of the image above?

a)

x2+2xx^2+2x

b)

x+2xx+2x

c)

x2+2x+2x^2+2x+2

d)

x2+2x+1xx^2+2x+1x

11.

Find the area.

a)

x2+2xx^2+2x

b)

x2+2x+1x^2+2x+1

c)

4x+24x+2

d)

2x2+2x+12x^2+2x+1

12.

Find the Area. 

a)

2x+42x+4

b)

2x2x

c)

2x+1x2x+1x

d)

2×x2\times x

13.

Find the area.

a)

x2+xx^2+x

b)

2x2+x2x^2+x

c)

x2+x+1x^2+x+1

d)

2x2x

14.

Find the area.

a)

x2+xx^2+x

b)

x2+x+1x^2+x+1

c)

x2+1x^2+1

d)

4x+44x+4

15.

Find the area.

a)

x2x^2

b)

x2+3x^2+3

c)

x2+1x^2+1

d)

x+3x+3

16.

Find the area. 

a)

x2+xx^2+x

b)

x2+x+1x^2+x+1

c)

4x+54x+5

d)

2x+x+12x+x+1

17.

Write an algebraic expression that represents the area of this tile collection.

a)

-6 + -6x

b)

9

c)

9x

d)

3x + 6

18.

Write an algebraic expression that represents the area of this tile collection.

a)

3 blue plus 5 light blue

b)

3x + 5

c)

5x + 3

d)

-3x + 5

19.

Write an algebraic expression that represents the area of this tile collection. (Choose 2 answers)

a)

1+1+1+1+x+1+1+1+1+1+1

b)

10x + 1

c)

11 tiles

d)

x + 10

20.

Write an algebraic expression that represents the area of this tile collection.

a)

-7 + -10x

b)

CC1

c)

10x + 7

d)

17x

21.

Write an algebraic expression that represents the area of this tile collection.

a)

4 + 4x + 4

b)

4 + 4 + 4x

c)

4x + 8

d)

1 + 1 + 1 + 1 + x + x + x + x + 1 + 1 + 1 + 1

Answer Key

Area of Algebra Tiles

Total questions: 21

1.
a)

2x2 + 2x

2.
d)

2x2 + 2x + 2

3.
c)

2x2 + 4

4.
d)

2x + 3

5.
c)

x2 + x+ 1

6.
a)

x

7.
c)

x2

8.
e)

1

9.
b)

5

10.
a)

x2+2xx^2+2x

11.
b)

x2+2x+1x^2+2x+1

12.
a)

2x+42x+4

13.
a)

x2+xx^2+x

14.
b)

x2+x+1x^2+x+1

15.
b)

x2+3x^2+3

16.
a)

x2+xx^2+x

17.
d)

3x + 6

18.
c)

5x + 3

19.
a)

1+1+1+1+x+1+1+1+1+1+1

, d)

x + 10

20.
c)

10x + 7

21.
a)

4 + 4x + 4

, b)

4 + 4 + 4x

, c)

4x + 8

, d)

1 + 1 + 1 + 1 + x + x + x + x + 1 + 1 + 1 + 1

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FAQs

What does the Area of Algebra Tiles worksheet cover?

This Grade 6 worksheet combines algebra-tile identification with finding the total area of pictured tile arrangements. Across 21 items, including multiple-choice and multiple-select questions, students connect tiles such as x, x², and numerical tiles to algebraic expressions and select the expression that represents the arrangement.

How can I use this worksheet to teach area with algebra tiles?

Begin by reviewing what the x, x², and numerical tiles represent, then model how to count each tile type and write the corresponding terms before adding them to form a total area. Use the worksheet’s tile-naming questions first, followed by the area questions, and ask students to explain why an option such as 2x² + 2x includes both quadratic and linear contributions.

What mistakes should I watch for when students complete this worksheet?

Students may identify an x tile as x², overlook a numerical tile, or count only one portion of an arrangement instead of combining every tile’s area. They may also choose a distractor with the right terms but incorrect coefficients, so ask them to recount each tile type and compare that count with the coefficient in the expression.

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 21 questions. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or assign the digital version for online completion and review.

How can I differentiate this algebra tiles worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the tile diagrams, labels, and answer choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the algebraic notation and tile-based tasks intact.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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