Problem 1 :
Consider the two expressions 3(x + 2) and 3x + 6 and answer the following questions.
Questions :
(i) Model each expression using algebra tiles.
(ii) How many x tiles and 1 tiles does the expression 3(x+2) have ?
(iii) How many x tiles and 1 tiles does the expression 3x+6 have ?
(iv) Is the expression 3(x + 2) equivalent to 3x + 6 ? Explain.
Problem 2 :
Consider the two expressions 2(x + 3) and 2x + 3 and answer the following questions.
Questions :
(i) Model each expression using algebra tiles.
(ii) How many x tiles and 1 tiles does the expression 2(x+3) have ?
(iii) How many x tiles and 1 tiles does the expression 2x+3 have ?
(iv) Is the expression 2(x + 3) equivalent to 2x + 3 ? Explain.
Problem 1 :
Consider the two expressions 3(x + 2) and 3x + 6 and answer the following questions.
Question (i)
Model each expression using algebra tiles.
Answer :
Question (ii)
How many x tiles and 1 tiles does the expression 3(x + 2) have ?
Answer :
From the above model of 3(x + 2), we have three x tiles and six 1 tiles.
Question (iii)
How many x tiles and 1 tiles does the expression 3x + 6 have ?
Answer :
From the above model of 3x + 6, we have three x tiles and six 1 tiles.
Question (iv)
Is the expression 3(x + 2) equivalent to 3x + 6? Explain.
Answer :
Yes; each expression is represented by three x tiles and six 1 tiles.
Problem 2 :
Consider the two expressions 2(x + 3) and 2x + 3 and answer the following questions.
Question (i)
Model each expression using algebra tiles.
Answer :
Question (ii)
How many x tiles and 1 tiles does the expression 2(x + 3) have ?
Answer :
From the above model of 2(x + 3), we have two x tiles and six 1 tiles.
Question (iii)
How many x tiles and 1 tiles does the expression 2x + 3 have ?
Answer :
From the above model of 2x + 3, we have two x tiles and three 1 tiles.
Question (iv)
Is the expression 2(x + 3) equivalent to 2x + 3 ? Explain.
Answer :
No; 2(x + 3) is represented by two x tiles and six 1 tiles. 2x + 3 is represented by two x tiles and three 1 tiles.
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