Some students are trying to write an expression with fewer terms that is equivalent to 8−3(4−9x). Brione says, “I worked the problem from left to right and ended up with 20−45x.” 8−3(4−9x) 5(4−9x) 20−45x Makayla says, “I started inside the parentheses and ended up with 23x.” 8−3(4−9x) 8−3(-5x) 8+15x 23x Ameenah says, “I used the distributive property and ended up with 27x−4.” 8−3(4−9x) 8−(12−27x) 8−12−(-27x) 27x−4 Ataa says, “I also used the distributive property, but I ended up with -4−27x.” 8−3(4−9x) 8−12−27x -4−27x Do you agree with any of them? Explain your reasoning. For each strategy that you disagree with, find and describe the errors.
Some students are trying to write an expression with fewer terms that is equivalent to 8−3(4−9x). Brione says, “I worked the problem from left to right and ended up with 20−45x.” 8−3(4−9x) 5(4−9x) 20−45x Makayla says, “I started inside the parentheses and ended up with 23x.” 8−3(4−9x) 8−3(-5x) 8+15x 23x Ameenah says, “I used the distributive property and ended up with 27x−4.” 8−3(4−9x) 8−(12−27x) 8−12−(-27x) 27x−4 Ataa says, “I also used the distributive property, but I ended up with -4−27x.” 8−3(4−9x) 8−12−27x -4−27x Do you agree with any of them? Explain your reasoning. For each strategy that you disagree with, find and describe the errors.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Some students are trying to write an expression with fewer terms that is equivalent to 8−3(4−9x).
Brione says, “I worked the problem from left to right and ended up with 20−45x.”
8−3(4−9x)
5(4−9x)
20−45x
Makayla says, “I started inside the parentheses and ended up with 23x.”
8−3(4−9x)
8−3(-5x)
8+15x
23x
Ameenah says, “I used the distributive property and ended up with 27x−4.”
8−3(4−9x)
8−(12−27x)
8−12−(-27x)
27x−4
Ataa says, “I also used the distributive property, but I ended up with -4−27x.”
8−3(4−9x)
8−12−27x
-4−27x
- Do you agree with any of them? Explain your reasoning.
- For each strategy that you disagree with, find and describe the errors.
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