Algebra 1 4-3 Guided Practice: Patterns and Nonlinear Functions
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by Matthew Richardson
| 13 Questions
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Solve It! The table below shows the relationship between the number of steps in the staircase below and the number of blocks needed to build the staircase.
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1
2
3
4
1
10
Solve It! How many blocks are required to build 4 steps? Enter only a number.
2
1
Solve It! What is the ordered pair associated with 4 steps?
(4, 6)
(4, 13)
(4, 10)
(4, 15)
3
1
Solve It! How many blocks are required to build 5 steps? Enter only a number.
4
1
Solve It! What is the ordered pair associated with 5 steps?
(5, 19)
(4, 15)
(4, 10)
(5, 15)
5
10
Problem 1 Got It? The table shows the fraction A of the original area of a piece of paper that remains after the paper has been cut in half n times. Graph the function represented by the table.
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6
10
Problem 1 Got It? Is the function represented by the table and graphed in the previous item linear or nonlinear?
Enter a one-word response.
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7
10
Problem 1 Got It? Reasoning: Will the area, A, ever reach zero? Explain.
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8
5
Problem 2 Got It? Enter a number to fill the table.
9
5
Problem 2 Got It? Enter a number to fill the table.
10
10
Problem 2 Got It? Represent the relationship using words.
11
10
Problem 2 Got It? Represent the relationship using an equation.

A
B
C
D
12
10
Problem 2 Got It? Represent the relationship using a graph.
NOTE: Not all points from the table must be on your graph.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
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13
13
10
Problem 3 Got It?
A
B
C
D
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