Math 1 23 Feb

Math 1

February 23, 2021

Example 1

Write down the coordinate pairs of the two points you see in this image. Move on to the next slide to watch the video example of how to solve this problem.

Example 2

Write down the coordinate pairs of the two points you see in this image. Move on to the next slide to watch the video example of how to solve this problem.

Example 3

Write down the coordinate pairs of the two points you see in this image. Move on to the next slide to watch the video example of how to solve this problem.

Example 4

Write down the coordinate pairs of the two points you see in this image. Move on to the next slide to watch the video example of how to solve this problem.

Example 5

Working alone, Kristin can paint a fence in four hours. Jose can paint the same fence in five hours. Find how long it would take them if they worked together.

Example 6

Matt can oil the lanes in a bowling alley in nine hours. Ndiba can oil the same lanes in five hours. How long would it take them if they worked together?

Example 7

It takes Jasmine six hours to pick forty bushels of apples. Jessica can pick the same amount in eight hours. How long would it take them if they worked together?

Example 8

It takes Huong ten hours to tar a roof. Ndiba can tar the same roof in six hours. Find how long it would take them if they worked together.

Fill in the Blank

Quiz 16 Review Question: Go look up what you answered, keep it the same if it was correct.

Two functions are shown below.

 $f\left(x\right)=2^x+2$  
 $g\left(x\right)=-2x+6$  

For what value of x does
 $f\left(x\right)=g\left(x\right)$  ?

Multiple Choice

Quiz 16 Review Question: Go look up what you answered, keep it the same if it was correct.

The solution set to which system of inequalities is shown in the graph below?

• $5x+5y<10$
  $2x-3y\ge6$
  

• $5x+5y\le10$
  $2x-3y>6$
  

• $5x+5y>10$
  $2x-3y\le6$
  

• $5x+5y\ge10$
  $2x-3y<6$
  

Multiple Choice

Quiz 16 Review Question: Go look up what you answered, keep it the same if it was correct.

A metal alloy is 30% copper. Another metal alloy is 55% copper. How much of each alloy should be used to make 800 grams of a metal alloy that is 40% copper?

• 420 grams of 30% copper alloy and 380 grams of the 55% copper alloy.

• 480 grams of 30% copper alloy and 320 grams of the 55% copper alloy.

• 440 grams of 30% copper alloy and 360 grams of the 55% copper alloy.

• 460 grams of 30% copper alloy and 340 grams of the 55% copper alloy.

Multiple Choice

Quiz 16 Review Question: Go look up what you answered, keep it the same if it was correct.

The formula for finding the surface area of a right circular cylinder is   $S=2\pi r^2+2\pi rh$  , where S represents the surface area, r represents the radius, and h represents the height of the cylinder. Which equation can be used to find the height of a right circular cylinder in terms of its surface area and radius?

•  $h=\frac{S}{2\pi r}$  

•  $h=\frac{S}{2\pi r}-r^2-r$  

•  $h=\frac{S}{2\pi r}-r^2$  

•  $h=\frac{S}{2\pi r}-r$  

Multiple Choice

Quiz 16 Review Question: Go look up what you answered, keep it the same if it was correct.

Neveah and Jason stopped by a restaraunt to eat. Neveah purchased 2 hot dogs and 1 drink for $3.75. Jasob purchased 3 hotdogs and 2 drinks for $6.00. Which system of equations can be used to determine the cost of 1 hot dog, x, and the cost of 1 drink, y?

• $3x+2y=3.75$
  $2x+y=6.00$
  

• $2x+y=3.75$
  $3x+2y=6.00$
  

• $x+2y=3.75$
  $2x+3y=6.00$
  

• $2x+3y=3.75$
  $x+2y=6.00$
  

Multiple Choice

A set of data is shown in the table below. Which linear function best models the data?

• $f\left(x\right)=2.5x+0.5$

• $f\left(x\right)=2.0x+0.5$

• $f\left(x\right)=0.5x+2.5$

• $f\left(x\right)=0.5x+2.0$

Fill in the Blank

Kali asked you to make 10 L of fruit punch that contains 43% fruit juice by mixing together some amount of Brand A fruit punch and some amount of Brand B fruit punch. Brand A contains 50% fruit juice and Brand B contains 15% fruit juice. How much of each do you need?

(Brand A, Brand B)

Fill in the Blank

How many oz of Indonesian cinnamon which costs $19/oz must be added to 1 oz of Thai cinnamon which costs $12/oz to make Brand M Cinnamon which costs $18/oz?

Multiple Choice

What is the system of inequalities displayed in the graph?

• $y<\frac{4}{3}x+7$
  $y>-\frac{1}{6}x-2$
  

• $y<\frac{4}{3}x+7$
  $y<-\frac{1}{6}x-2$
  

• $y>\frac{4}{3}x+7$
  $y<-\frac{1}{6}x-2$
  

• $y>\frac{4}{3}x+7$
  $y>-\frac{1}{6}x-2$
  

Multiple Choice

Which graph displays the following system of inequalities?

 $x-y<3$  
 $3x+y\ge1$  

Fill in the Blank

A plane traveled 1560 miles to Mexico City and back. The trip there was with the wind. It took 13 hours. The trip back was into the wind. The trip back took 26 hours. Find the speed of the plane in still air and the speed of the wind.

(plane, wind)

Fill in the Blank

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

 $\frac{2u^{-3}}{2u^{-3}v^{-4}\times\left(2u^{-3}v^{-4}\right)^{-3}}$