Lesson 8

Math 1

February 2, 2021

Example 1

 $y\ge-\frac{4}{3}x+2$  

Multiple Choice

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

• $y\ge-\frac{7}{2}x+3$

• $y\ge-\frac{7}{2}x-3$

• $y<-\frac{7}{2}x-3$

• $y\le-\frac{7}{2}x-3$

Example 2

 $9x-4y>-16$  

Multiple Choice

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

• $x-4y<4$

• $x+4y<4$

• $x-4y>4$

• $x+4y>4$

Example 3

 $y<x+2$  
 $y\ge-\frac{2}{3}x-3$  

Example 4

 $y>x-1$  
 $y\le5x+3$  

Example 5

 $y\le-4x+1$  
 $y\le-x-2$  

Example 6

 $y<4x+2$  
 $y\ge x-1$  

Multiple Choice

What is the system of inequalities shown in the graph?

• $y\ge-\frac{1}{2}x-2$
  $y<x+1$
  

• $y\le-\frac{1}{2}x-2$
  $y>x+1$
  

• $y\le-\frac{1}{2}x-2$
  $y<x+1$
  

• $y\ge-\frac{1}{2}x-2$
  $y>x+1$
  

Multiple Choice

What is the system of inequalities shown in the graph?

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

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

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

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

Example 7

For her birthday party Lea mixed together 8 gal. of Brand A fruit punch and 2 gal. of apple juice. If Brand A contains 5% fruit juice, then what percent of the final mixture is fruit juice?

Example 8

How many lb of bleached flour which costs $5/lb must be added to 4 lb of unbleached flour which costs $8/lb to make baking flour which costs $7/lb?

Example 9

Paul and his brother mixed together two types of soil to make 12 m³ of soil with a 50% silt content. They used 9 m³ of a soil with 56% silt content and 3 m³ of another type of soil. What was the silt content of the second type of soil?

Example 10

Scott mixed together 9 L of Brand A fruit drink and 3 L of Brand B fruit drink which contains 52% fruit juice. Find the percent of fruit juice in Brand A if the mixture contained 40% fruit juice.

Multiple Choice

Quiz 14 Review Question: Go look up what you answered, keep it the same if it was correct. 

Coach Walker's cheerleading team needs to raise money to pay for the entry fees to the state competition. There is a $99 team fee plus an individual fee for each cheerleader. Coach Walker found that the individual fees for her 18 cheerleaders will cost a total of $818.82. Which inequality can be used to find m, the least amount of money each cheerleader needs to raise in order to pay for both the team and individual entry fees?

• $99m-18\ge818.82$

• $99m-18\le818.82$

• $18m-99\ge818.82$

• $18m-99\le818.82$

Multiple Choice

Quiz 14 Review Question: Go look up what you answered, keep it the same if it was correct.

Airplane A left Tampa at 6:00 a.m., flying west at a speed of 850 kilometers per hour (kph). Airplane B left at 7:30 a.m., flying in the opposite direction at 900 kph. At what time to the nearest minute will Plane A and Plane B be 4,250 kilometers apart?

• 8:26 a.m.

• 9:09 a.m.

• 9:12 a.m.

• 10:42 a.m.

Multiple Choice

Quiz 14 Review Question: Go look up what you answered, keep it the same if it was correct.

Two trains leave a train station traveling on parallel and adjacent tracks. Train A is traveling due north at a constant speed of 40 miles per hour. Train B is traveling due south at a constant speed of 55 miles per hour. If both trains leave at the same time, in approximately how many minutes will they be 15 miles apart?

• 1.6

• 6.3

• 9.5

• 23.75

Multiple Choice

Preston started with $100. He saved some money each week for 5 weeks. He recorded the total amount he had saved in the table.Preston determined that y = 30.3x + 96 models the data well. What does the slope of the model represent?

• Preston had $250 saved 5 weeks after he started saving.

• Preston started with $96 saved.

• Preston saved about $96 per week.

• Preston saved about $30 per week.