Chapter 2: Q1. (page 85)
Solve the equation using mental math.
Short Answer
The solution of the equation is
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Chapter 2: Q1. (page 85)
Solve the equation using mental math.
The solution of the equation is
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Perform the indicated operation.
Use the distributive property to evaluate the following expression:
Challenge The problem below is a variation of one that appears in the ancient Chinese text Nine Chapters on the Mathematical Art. (In the problem, a tou is a Chinese unit of measure.)
A goat, a horse, and a cow mistakenly enter a farmer’s wheat field and eat some stalks of wheat. The horse eats twice as many stalks as the goat, and the cow eats twice as many stalks as the horse. The farmer demands 5 tou of wheat from the owners of the animals to replace what was eaten. How much wheat should be replaced by the goat’s owner? by the horse’s owner? by the cow’s owner?
a. Let x be the amount of wheat (in tou) that should be replaced by the goat’s owner. What is an expression in terms of x for the amount that should be replaced by the horse’s owner? by the cow’s owner?
b. Write and solve an equation to find x. To the nearest tenth of a tou, how much wheat should be replaced by each animal’s owner?
Use the distributive property to evaluate the expression.
What are terms that have a number but no variable called?
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