Math Systems

Graph and identify a possible solution
y>-3x+2
y≤2x-3

• (2,3)

• (1,4)

• (-2,-3)

• (4,2)

Write the inequalities

• y≥-2x+3
  y≤x-3

• y>2x+3
  y≥x-3

• y>-2x+3
  y≥x-3

• y<-2x+3
  y≤x-3

Graph the inequalities and identify a possible solution
y≤4
y≥2x-10
y>-x-4

• (8,-6)

• (2,3)

• (-6,1)

• (2,-8)

A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulations to 15 gallons for her entire 6 acres. Soybeans require 2 gallons of pesticide for every acre planted and corn requires 3 gallons per acre. The profit the farmer makes by earning $4,000 for every acre of soybeans he plants and $3,000 for every acre he plants with barley can be modeled by P=4000x+3000y . What is the maximum profit that she can earn?

• $15,000

• $21,000

• $18,000

• $24,000

A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulations to 15 gallons for her entire 6 acres. Soybeans require 2 gallons of pesticide for every acre planted and corn requires 3 gallons per acre. The profit the farmer makes by earning $4,000 for every acre of soybeans he plants and $3,000 for every acre he plants with barley can be modeled by P=4000x+3000y .  If x represents acres of soybeans and y represents acres of corns, which inequalities represent the possible solutions to her situation?

• x≥0
  y≥0
  x+y≥6 
  3x+2y≥15

• x≥0 
  y≥0 
  x+y≤6
  2x+3y≤15

• x≥0 
  y≥0 
  4000x+y≤6
  2x+600y≤15

• P=4000x+3000y

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  How many nickels and dimes did Dennis earn? 

• 40 nickels, 40 dimes

• 52 nickels, 28 dimes

• 28 nickels, 52 dimes

• 30 nickels, 50 dimes

The number of days worked varies directly as the amount earned. If a woman earns $805 for 7 days, how many days does she have to work to earn $1840?

• 16 days

• 1042 days

• 20171 days

• 211600 days

Is the relationship in the table a direct variation?

• Yes

• No

Two equations were graphed on the set of axes below.  Which point is a solution to the system of equations ?

• (0,3)

• (5,0)

• (2,-3)

• (8,9)

Find the solution.

• (3,18) and (-4, 15)

• (5,2) and (5,-9)

• (0,0) and (0,0)

• (-4,2) and (-4,2)