NC Math 1 MVP 7.4: The x Factor
- Author:
- Douglas Bynum, Tim Brzezinski
- Topic:
- Algebra, Area, Quadratic Equations
Task 7.4 Question 1
Draw your illustration: Click the buttons to add each element (blue, green, and yellow represent positive terms)
Task 7.4 Question 1a
Sometimes they want one side of the block to be the standard length, 𝑥, with the other side of the block 2 inches bigger. Write two different expressions for the area of the block. Use the ^ key to enter an exponent, if needed, when typing your expression.
Task 7.4 Question 2
Draw your illustration: Click the buttons to add each element (blue, green, and yellow represent positive terms)
Task 7.4 Question 2a
Sometimes they want blocks with one side that is the standard length, 𝑥, and one side that is 2 inches less than the standard size. Write two different expressions for the area of the block. Use your diagram and verify algebraically that the two expression are equivalent. Use the ^ key to enter an exponent, if needed, when typing your expression.
Task 7.4 Question 3
Draw your illustration: Click the buttons to add each element (blue, green, and yellow represent positive terms)
Task 7.4 Question 3a
Write two different expressions for the area of the block. Use your diagram and verify algebraically that the two expression are equivalent. Use the ^ key to enter an exponent, if needed, when typing your expression.
Task 7.4 Question 4
Draw your illustration: Click the buttons to add each element (blue, green, and yellow represent positive terms)
Task 7.4 Question 4a
Write two different expressions for the area of the block. Use your diagram and verify algebraically that the two expression are equivalent. Use the ^ key to enter an exponent, if needed, when typing your expression.
Task 7.4 Question 5
Draw your illustration: Click the buttons to add each element (blue, green, and yellow represent positive terms)
Task 7.4 Question 5a
Write two different expressions for the area of the block. Use your diagram and verify algebraically that the two expression are equivalent. Use the ^ key to enter an exponent, if needed, when typing your expression.
Task 7.4 Question 6
Draw your illustration: Click the buttons to add each element (blue, green, and yellow represent positive terms)
Task 7.4 Question 6a
Write two different expressions for the area of the block. Use your diagram and verify algebraically that the two expression are equivalent. Use the ^ key to enter an exponent, if needed, when typing your expression.
Task 7.4 Question 7
Draw your illustration: Click the buttons to add each element (blue, green, and yellow represent positive terms)
Task 7.4 Question 7a
Write two different expressions for the area of the block. Use your diagram and verify algebraically that the two expression are equivalent. Use the ^ key to enter an exponent, if needed, when typing your expression.
Task 7.4 Question 8
How can you tell if the middle term () is going to be positive or negative?
Task 7.4 Question 9
Draw your illustration: Click the buttons to add each element (blue, green, and yellow represent positive terms)
Task 7.4 Question 9a
One of the employees thinks that this rectangle will have the same areas as the original square since one side was decreased by the same amount as the other side was increased. What do you think?
Task 7.4 Question 9b
Write two different expressions for the area of the block. Use your diagram and verify algebraically that the two expression are equivalent. Use the ^ key to enter an exponent, if needed, when typing your expression.
Task 7.4 Question 10
Problem A
Draw your illustration: Click the buttons to add each element (blue, green, and yellow represent positive terms)
Write a trinomial expression for the area of the block. Use your diagram and verify algebraically that the two representations are equivalent. Use the ^ key to enter an exponent, if needed, when typing your expression.
Problem B
Draw your illustration: Click the buttons to add each element (blue, green, and yellow represent positive terms)
Write a trinomial expression for the area of the block. Use your diagram and verify algebraically that the two representations are equivalent. Use the ^ key to enter an exponent, if needed, when typing your expression.
Task 7.4 Question 11
What pattern did you notice? What is the result of ?
Task 7.4 Question 12
Problem A
Draw your illustration: Click the buttons to add each element (blue, green, and yellow represent positive terms)
Write a trinomial expression for the area of the block. Use your diagram and verify algebraically that the two representations are equivalent. Use the ^ key to enter an exponent, if needed, when typing your expression.