Math 1 March 19 A Cohort + ALL REMOTE

Math 1

March 19, 2021

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The perimeter of a rectangular field is 100 meters. The width of the field is 20 meters. To the nearest meter what is the distance between opposite corners of the field? Round to the nearest whole number.

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Baking flour which costs $6/lb is made by combining bleached flour which costs $8/lb with unbleached flour which costs $3/lb. Find the number of lb of bleached flour and unbleached flour required to make 15 lb of baking flour.

(bleached, unbleached)

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

 $-x-4\left(1+3x\right)=4\left(-3-3x\right)$  

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

 $\frac{2a^{-4}b^{-2}}{b^3\times\left(2b^{-3}\right)^2}$  

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How many lbs. of mixed nuts that contain 70% peanuts must Huong add to 10 lbs. of mixed nuts that contain 60% peanuts to make a mixture with 66% peanuts?

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Ndiba can sweep a porch in 10 minutes. Chelsea can sweep the same porch in 14 minutes. Find how long it would 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.

 $\left(8,5\right),\left(6,-5\right)$  

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



 $\left(-2,5\right),\left(1,1\right)$  

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

 $y=2x-1$  

Open Ended

Find the product.

 $\left(3v-8\right)\left(2v+5\right)$  

Open Ended

Find the product.

 $\left(7x+1\right)\left(2x^2-5x-8\right)$  

Open Ended

Factor the polynomial completely.

 $49n^3+42n^2+21n+18$  

Multiple Choice

Assessment 19 Review Question. Go look up what you answered.

Simplify. Your answer should contain only positive exponents. 

 $\frac{\left(2x^3y^{-4}\right)^2\times x^{-1}y^6}{2yx^5}$  

•  $\frac{2}{y^3}$  

•  $\frac{x^{10}}{32y^{33}}$  

•  $\frac{4}{xy^{22}}$  

•  $\frac{16y^{36}}{x^8}$  

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Assessment 19 Review Question. Go look up what you answered.

A trapezoid is shown in the coordinate plane. To the nearest tenth, what is the perimeter of the trapezoid?

Multiple Choice

Assessment 19 Review Question. Go look up what you answered.


The volume of a spherical tank is given by    $v=\frac{4}{3}\pi r^3$  If the volume of the tank is known, which expression can be used to find its radius? 

•  $3\sqrt{\frac{4\pi}{3V}}$  

•  $3\sqrt{\frac{3V}{4\pi}}$  

•  $3\sqrt{\frac{3\pi}{4V}}$  

•  $3\sqrt{\frac{4V}{3\pi}}$  

Multiple Choice

Assessment 19 Review Question. Go look up what you answered.

Which scenario is best modeled by a linear function?

• the height of a rocket x seconds after it is launched from a 20-foot tall platform

• the total price paid for x shirts that are on sale for half off

• the total population of a town that has changed by 2% every x years

• the amount of a radioactive element that decreases by half every x 10-year periods

Multiple Choice

Assessment 19 Review Question. Go look up what you answered.

What of the following is the graph of the equation    $9x-4y=16$  

Multiple Choice

Assessment 19 Review Question. Go look up what you answered.

Andrew purchased a car for $19,500. The value of the car depreciates at a rate of 8.6% each year. Which equation models the value of Andrew’s car, y, after x years?

• $y=19,500\left(1.086\right)^x$

• $y=19,500\left(0.914\right)^x$

• $y=19,500\left(1.914\right)^x$

• $y=19,500\left(0.086\right)^x$