Math 1 March 12 A Cohort + Full Remote

Math 1

March 12, 2021

Special Products of Polynomials

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Alex and Emma leave from the same place at the same time. Alex walks south for 5 miles and Emma walks west for 8 miles. What is the approximate distance between Alex and Emma? Round to the nearest hundredth.

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Simplify. Your answer should only contain positive exponents. Use ^ for exponents. Write answers in alphabetical order. 

 $\frac{\left(x^3y^2\right)^{-4}}{2x^3\times x^{-1}\times y^3}$  

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6 kg of bleached flour which costs $5/kg were combined with 12 kg of unbleached flour which costs $2/kg. Find the cost per kg of the mixture.

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Solve for x.
NS = no solution
I = infinite solution

 $9-2x=3\left(x-2\right)-5\left(x-3\right)$  

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Mixed nuts which cost $10/kg are made by combining walnuts which cost $11/kg with peanuts which cost $8/kg. Find the number of kg of walnuts and peanuts required to make 6 kg of mixed nuts.

(walnuts, peanuts)

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Working alone, Norachai can pick forty bushels of apples in 9 hours. Cody can pick the same amount in 14 hours. How long would it take them if they worked together? Round to the nearest hundredth.

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Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

 $\left(-4,5\right),\left(-2,-3\right)$  

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Write the slope-intercept form of the equation of the line through the given points. Write as a fraction.



 $\left(5,1\right),\left(-3,-3\right)$  

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What is the x value of the x intercept of the linear equation below?

 $y=\frac{1}{2}x-\frac{3}{2}$  

Open Ended

Find the product of:

 $\left(6v-7\right)\left(3v-4\right)$  

Open Ended

Find the product of:

 $\left(4x+3\right)\left(7x^2-2x-4\right)$