Math 1; 25 January

Math 1

January 25, 2021

Example 1

20 lbs. of mixed nuts containing 25%

peanuts were mixed with 15 lbs. of

another kind of mixed nuts that contain 60% peanuts. Peanuts are what percent of the new mixture?

Example 2

A metal alloy weighing 1 lb. and

containing 30% gold is melted and mixed with 4 lb. of pure gold. What percent of the resulting alloy is gold?

Example 3

For his birthday party Sam mixed

together 2 gal. of Brand A fruit punch and 3 gal. of Brand B. Brand A contains 10% fruit juice and Brand B contains 20% fruit juice. What percent of the mixture is fruit juice?

Example 4

4 qt. of a 42% saline solution was mixed with 3 qt. of pure water. Find the concentration of the new mixture.

Example 5

 $y\ge\frac{1}{3}x-1$  

Example 6

 $y<-\frac{3}{2}x+1$  

Example 7

 $y\le\frac{5}{3}x$  

Example 8

 $y>-\frac{8}{5}x+4$  

Multiple Choice

What is the equation of the linear inequality in the graph?

• $y\ge3x+2$

• $y\le3x+2$

• $y>3x+2$

• $y<3x+2$

Multiple Choice

The table below shows the number of minutes several students spend watching television each night and their math grades. Using a linear model, what is the meaning of the slope?

• A student’s math grade increases approximately 3 points for every 10 minutes of watching television.

• A student’s math grade decreases approximately 3 points for every 10 minutes of watching television.

• A student watches approximately 3 minutes less television for every 10 points gained in their math grade.

• A student watches approximately 3 minutes more television for every 10 points gained in their math grade.

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