Math 1 March 22 B Cohort + ALL Remote

Math 1

March 22, 2021

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An isosceles triangle has congruent sides of 20 cm. The base of the triangle is 10cm. What is the area of the triangle? Round to the nearest whole number.

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Solve each equation, list both answers. Write as a decimal if applicable.
(smallest number, largest number)

 $2-8\left|3+8x\right|=-102$  

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

 $\frac{xy^2}{\left(2x^{-4}y^3\right)^2\times2x^{-4}y^2}$  

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A boat traveled 280 miles downstream and back. The trip downstream took 14 hours. The trip back took 20 hours. Find the speed of the boat in still water and the speed of the current.

(boat, current)

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A metallurgist needs to make 10 mg of an alloy containing 42% gold. She is going to melt and combine one metal that is 40% gold with another metal that is 50% gold. How much of each should she use?

(40% gold, 50% gold)

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Danielle can mop a warehouse in nine hours. James can mop the same

warehouse in ten hours. If they worked together how long would it take them? 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.

 $\left(2,-6\right),\left(-5,3\right)$  

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


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

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

 $y=6x-28$  

Multiple Choice

Assessment 19 Review. Go look up what you answered. Keep it the same if you got the question correct.

The cost of renting ice skates at a skating rink is $1.25. The rink charges $3.25 for each hour, x, of skating. Which graph best models this situation, where y is the total cost to go skating?

Multiple Choice

Assessment 19 Review. Go look up what you answered. Keep it the same if you got the question correct.

Which graph shows the solution set of the system of inequalities shown below?

 $2x-3y\ge8$  
 $x+5y\le3$  

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Assessment 19 Review. Go look up what you answered. Keep it the same if you got the question correct.

A small company has one color printer and one black-and-white printer, each printing at different rates. The color printer, working for 5 minutes and the black-and-white printer, working for 3 minutes print a total of 70 pages. When the black-and-white printer worked for 6 minutes and the color printer worked for 9 minutes, they printed a total of 135 pages. How many pages per minute does the black-and-white printer print?

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Assessment 19 Review. Go look up what you answered. Keep it the same if you got the question correct.

An isosceles triangle is shown in the image below. What is the approximate perimeter of the triangle? Round to the nearest whole number.

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Assessment 19 Review. Go look up what you answered. Keep it the same if you got the question correct.

The table below represents the value, y, of an antique table x years after purchase. The data was modeled with a linear best-fit function. What was the initial purchase price?

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Assessment 19 Review. Go look up what you answered. Keep it the same if you got the question correct.

Two linear functions are shown below. What is the distance between the x-intercepts of the two functions?

Multiple Choice

Assessment 19 Review. Go look up what you answered. Keep it the same if you got the question correct.

A rectangle is shown below. Which expression represents the area of the rectangle?

• $\left(12x-4\right)cm^2$

• $\left(6x^2-5x-3\right)cm^2$

• $\left(8x^2-10x-3\right)cm^2$

• $\left(6x-2\right)cm^2$

Open Ended

 $7x^3-56x^2+4x-32$  

Factor completely.

Open Ended

 $15a^3-45a^2-6a+18$  

Factor completely.

Open Ended

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

Find the product.