Systems of Equations/Inequalities Graphing Review

Systems of Equations/Inequalities Review

*Help with Inequality Word Problems

Multiple Choice

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

Multiple Choice

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

Multiple Choice

The solution is:

• (4, 3)
• (3, 4)
• (-4, 3)
• No solution

Multiple Choice

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

Multiple Choice

What is the solution to the system?

• (3, -1)
• (2, -6)
• No Solution 
• (6, -2)

Multiple Choice

Which of the following inequalities matches the given graph?

• y ≥ 2/5x + 1
• y ≥ -2/5x + 1
• y≤  2/5x + 1
• y ≥ -2/5x - 1

Multiple Choice

Which of the following inequalities matches the given graph?

• x ≥ -1
• x ≤ -1
• x > -1
• x < -1

Multiple Choice

Is (0,0) a solution to the system?

• Solution
• Not a solution

Multiple Choice

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Multiple Choice

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2
• y < 2x - 4
  y < 2
• y > 2x - 4
  y <  2 
• y < 2x - 4
  y <   -2

Multiple Choice

Which graph represents the solution of this systems of inequalities?

 $x-3y\le-6$  

 $2x+y>6$  

Multiple Choice

Which system of inequalities represent the graph shown?

• $x+y\le5$
  $2x-y>4$
  

• $x+y>5$
  $2x-y\le4$
  

• $x+y<5$
  $2x-y\ge4$
  

• $x+y\ge5$
  $2x-y<4$
  

Multiple Choice

This system has an infinite number of solutions, TRUE or FALSE?

• TRUE
• FALSE

Multiple Choice

For questions 3 - 6, use the following scenario:

Bobbi can work at most 20 hours next week, but she needs to earn at least $150. Her dog-walking job pays $6 per hour and her job as a car wash attendant pays $10 per hour.

Let x = # of hours dog-walking

Let y = # of hours at car wash

Which graph represents the system of inequalities?

Multiple Choice

For questions 3 - 6, use the following scenario:

Bobbi can work at most 20 hours next week, but she needs to earn at least $150. Her dog-walking job pays $6 per hour and her job as a car wash attendant pays $10 per hour. 

Let x = # of hours dog-walking

Let y = # of hours at car wash

Which system of inequalities represents the scenario?

•  $6x+10y\ge150$ 
   $x+y\le20$ 

•  $6x+10y\le150$ 
   $x+y\ge20$ 
  

•  $x+y\le150$ 
   $6x+10y\ge20$ 
  

•  $x+y\ge150$ 
   $6x+10y\le20$ 
  

Multiple Choice

For questions 3 - 6, use the following scenario:

Suppose you can spend no more than 15 hours a week at your two jobs. Mowing lawns pays $3 an hour and babysitting pays $5 an hour. You need to earn at least $60 a week.

Let x = # of hours mowing

Let y = # of hours babysitting

Which graph represents the system of inequalities?