Math 1 March 5 2021

Math 1

March 5, 2021

Example 1

Leto's department can deliver enough parts to fill a storeroom in 8 hours. Jessica's department uses the part to build another product. Her department can deplete a full store room in 12 hours. Starting with an empty storeroom, how long will it take Leto's area to fill the storeroom while Jessica's department is working?

Example 2

Working together, Perry and Molly can mop a warehouse in 4.8 hours. Had she done it alone it would have taken Molly 12 hours. How long would it take Perry to do it alone?

Example 3

One roofer can put a new roof on a house three times faster than another. Working together they can roof a house in 5 days. How long would it take the faster roofer working alone?

Example 4

Candice and Alex can complete a job in 3 hours working together. If Candice works three times as long as Alex if each does the job alone, how long would it take Alex to complete the job alone?

Example 5

 $\left(x+2\right)\left(x-5\right)$  

Example 6

 $\left(3x-1\right)\left(2x-7\right)$  

Example 7

 $\left(-5x+3\right)\left(-x-4\right)$  

Example 8

Write the expression of the area of a rectangle with a length of   $\left(x+2\right)$  and a width of  $\left(x+10\right)$  .

Example 9

The length of a square board is   $\left(2x-3\right)$ . Write the expression for the area of the board. 

Multiple Choice

Quiz 17 Review Question: Go look up what you answered, keep it the same if it was correct.

The 6th, 7th, and 8th terms of an arithmetic sequence are shown below.

 $-46,-54,-62$ 

Which explicit formula can be used to determine the nth term of this sequence?

•  $a_n=-8n-38$  

•  $a_n=-8n+2$  

•  $a_n=-8n-16$  

•  $a_n=-8n+1$  

Multiple Choice

The amount spent to manufacture a toy, x, and the amount of profit, y, earned on sales of the toy for the past five years are shown in the table. Which statement best explains the correlation coefficient of the data set?

• The correlation coefficient is approximately -0.84, which indicates a weak negative relationship between the amount spent and profit earned.

• The correlation coefficient is approximately 0.7, which indicates a strong positive relationship between the amount spent and profit earned.

• The correlation coefficient is approximately -0.84, which indicates a strong negative relationship between the amount spent and profit earned.

• The correlation coefficient is approximately 0.7, which indicates a weak positive relationship between the amount spent and profit earned.