Key to Paper-Pencil Test: Around the Block
represents x2,
If
represents x, and
represents units,
simplify and draw the following expressions.
1. 3x + 4x 7x
4. x2 + 3x + x2
2. 2x2 + 4 + 1 2x2 + 5
5. x + 4x + x
3. 2x + 1 + 3x
6. 4 + x + 3
5x + 1
3x2 + 3x
6x
x+7
7. Look at your answers for #1 through 6. Draw a square around the largest
coefficient.
Around the Block
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 Mathematics & Science Center 2004
The answer is 7 from the first problem.
The following were created using Algeblocks®. Can you figure out the tiles that were
used to complete the rectangle?
8.
Expression:
2
2x + 5x + 2
9.
Expression:
2
3x + 3x
10. Putting it all together!
Around the Block
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 Mathematics & Science Center 2004
Your turn! Can you create a rectangle using your algebra tiles? (You do not have to trace this one,
but you do need to use at least one of each kind of tile.)
Give the length and width (using x as the variable): l = ___________
w = ____________
** Remember area equals length times width. **
2
If x were 1, what would the area of your rectangle be?
units
If x were 2, what would the area of your rectangle be?
units
If x were 3, what would the area of your rectangle be?
units
If x were 4, what would the area of your rectangle be?
units
If x were 5, what would the area of your rectangle be?
units
2
2
2
2
Make a stem and leaf plot with your 5 answers from above.
Stems
Leaves
** Answers for #10 will vary **
Around the Block
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 Mathematics & Science Center 2004