Lesson 11

Math 1

February 8, 2021

Example 1

 $y<4x+2$  
 $y>-x-3$  

Example 2

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

Multiple Choice

What is the system of inequalities displayed in the graph?

• $y<x+2$
  $y<6x-3$
  

• $y<x+2$
  $y>6x-3$
  

• $y>x+2$
  $y>6x-3$
  

• $y>x+2$
  $y<6x-3$
  

Example 3

 $2x-3y\ge3$  
 $2x-y>-3$  

Example 4

 $2x+3y>9$  
 $2x-3y>3$  

Multiple Choice

What is the system of inequalities displayed in the graph?

• $2x-y\ge-3$
  $2x-y\ge-2$
  

• $2x-y\le-3$
  $2x-y\le-2$
  

• $2x-y\ge-3$
  $2x-y\le-2$
  

• $2x-y\le-3$
  $2x-y\ge-2$
  

Example 5

9 kg of copper which costs $5/kg were combined with 3 kg of tin which costs $9/kg. Find the cost per kg of the mixture.

Example 6

Kim wants to make 8 qt. of a 70% alcohol solution by mixing together a 80% alcohol solution and pure water. How much of each solution must she use?

Example 7

Ted wants to make 10 gal. of a 80% acid solution by mixing together a 40% acid solution and a 90% acid solution. How much of each solution must he use?

Example 8

Nicole's Premium Molasses which costs $2/oz is made by combining cane molasses which costs $1/oz with beet molasses which costs $4/oz. Find the number of oz of cane molasses and beet molasses required to make 6 oz of Nicole's Premium Molasses.

Fill in the Blanks

Multiple Choice

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

Which inequality is graphed below?

• $3x-2y\ge4$

• $3x-2y\le4$

• $3x-2y>4$

• $3x-2y<4$

Multiple Choice

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

Which graph represents the inequality?

 $y\le2x+1$  

Multiple Choice

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

Which set of ordered pairs represents a function?

• $\left\{\left(3,2\right),\left(4,4\right),\left(6,3\right),\left(4,5\right)\right\}$

• $\left\{\left(4,-3\right),\left(4,-1\right),\left(4,3\right),\left(4,6\right)\right\}$

• $\left\{\left(-4,4\right),\left(-2,4\right),\left(1,4\right),\left(5,4\right)\right\}$

• $\left\{\left(-3,-3\right),\left(-2,-4\right),\left(-2,-1\right),\left(-1,-5\right)\right\}$

Multiple Choice

This graph shows the age of Rick's home, x, and the values of his home, y. Which equation would best fit the data?

• $y=1,000x+150,000$

• $y=1,000x+156,000$

• $y=2,000x+150,000$

• $y=2,000x+156,000$