Math 1 Feb 1

Math 1

February 1, 2021

Example 1

 $y>-\frac{1}{5}x+1$  

Example 2

 $2x+y\le5$  

Example 3

 $4x+5y<-15$  

Example 4

 $7x-2y\le-8$  

Multiple Choice

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

• $7x-4y\le8$

• $7x+4y\ge8$

• $7x+4y\le8$

• $7x-4y\ge8$

Example 5

 $y>-x-2$  
 $y<-5x+2$  

Example 6

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

Example 7

 $y>\frac{5}{3}x-2$  
 $y\le\frac{1}{3}x+2$  

Multiple Choice

What is the system of inequalties seen in the graph?

• $y>5x-3$
  $y\le x+1$
  

• $y<5x-3$
  $y\ge x+1$
  

• $y\ge5x-3$
  $y<x+1$
  

• $y\le5x-3$
  $y>x+1$
  

Example 8

6 lb of peanuts which cost $4/lb were combined with 3 lb of spices which cost $1/lb. Find the cost per lb of the mixture.

Example 9

How many lb of peanuts which cost $1/lb must be added to 4 lb of spices which cost $4/lb to make Darryl's Red Hot Peanuts which cost $3/lb?

Example 10

Huong made a nut mixture that contains 64% peanuts by mixing 9 lbs. of mixed nuts with 6 lbs. of peanuts. The mixed nuts contained what percent peanuts?

Example 11

Jill mixed together 8 gal. of Brand A fruit drink and 4 gal. of Brand B fruit drink which contains 20% fruit juice. Find the percent of fruit juice in Brand A if the mixture contained 10% fruit juice.

Multiple Choice

A scatterplot is shown. Which equation best represents the data in the scatterplot?

• $y=-2x+11$

• $y=-\frac{3}{4}x+11$

• $y=\frac{3}{4}x-11$

• $y=2x-11$