Expanding by Algebra Tiles

Expanding by Algebra Tiles

By David Elm

Multiple Choice

Which multiplication equation does this diagram represent?

• $$3\cdot2=6$$

• $$3\cdot3=9$$

• $$2\cdot2=4$$

• $$3\cdot4=12$$

Multiple Choice

Which diagram represents this multiplication?

$$2\cdot2=4$$

Multiple Choice

What expression matches these tiles?

• x+1

• x+2

• x+3

• x+4

Multiple Choice

Which tiles match this expression?

x+2

Multiple Choice

Which expression matches these tiles?

• x+1

• x+2

• x+3

• x+4

Multiple Choice

Which tiles match this expression?

x+1

Multiple Choice

Which diagram has the same base as this one?

(The base is actually located at the top of the diagram.)

Multiple Choice

Which equation does this diagram represent?

• $$\left(x+1\right)2=2x+2$$

• $$\left(x+1\right)3=3x+3$$

• $$\left(x+2\right)2=2x+4$$

• $$\left(x+2\right)3=3x+6$$

Multiple Choice

Which diagram matches this equation?

(x+2)3=3x+6

Multiple Choice

These multiplication diagrams have an outside frame and an inside area.

Which is the frame for this diagram?

Multiple Choice

Which frame matches this diagram?

Multiple Choice

Which diagram has this frame?

Multiple Choice

Which diagram matches this frame?

Multiple Choice

Which expression matches this frame?

• (x+1)(x+2)

• (x+1)(x+3)

• (x+2)(x+3)

• (x+2)(x+4)

Multiple Select

Which two areas match this quadratic?

$$x^2+5x+6$$

Problem 1
(x+1)(x+2)

Multiple Choice

Which frame matches this expression?

(x+1)(x+2)

Multiple Choice

Which diagram has this frame?

Multiple Choice

Which quadratic matches this area?

• $$x^2+2x+1$$

• $$x^2+3x+2$$

• $$x^2+4x+3$$

• $$x^2+5x+4$$

Problem 2
(x+2)(x+3)

Multiple Choice

Which frame matches this product?

(x+2)(x+3)

Multiple Choice

Which diagram has this frame?

Multiple Choice

Which quadratic matches this area?

• $$x^2+7x+6$$

• $$x^2+5x+6$$

• $$x^2+4x+4$$

• $$x^2+5x+4$$