Systems of Equations Review

The cost of producing an item $500 at the break-even point. What is the income from selling the same item at the break-even point?

• $0

• $250

• $500

• $1000

What is the solution to the system of linear equations shown in the graph? 

• (4,-3)

• (0,1)

• (0,-5)

• (1,0)

Which term describes a system of equations with no solution?

• consistent system

• inconsistent system

• dependent system

• independent system

How many solutions does the following system have?

x+4y=8

x+2y=4

• 0

• 1

• 2

• Infinite Number

For which system is the graph a pair of parallel lines?

• y=2/3x-4 and y=5+2/3x

• y=7/9x+9 and y=9-7/9x

• y=1/5x-1 and y=5x-1

• y=3/4x+8 and y=8-4/3x

You try to solve a linear system by the substitution method and get the result 0=80=8. What does this result mean?

• The system has one solution (0,8)

• The system has one solution (8,0)

• The system has no solutions

• The system has an infinite number of solutions

To solve a system of equations, Beth makes the graph shown.

What is the approximate solution to the system?

• (-5,-1.5)

• (-2,-1)

• (-1.5,-5)

• (-0.25,0)

The equation y=180+5 represents the amount a school club will pay a T-shirt company for custom T-shirts, where x represents the number of T-shirts bought and y represents the total cost in dollars. The equation y=10x represents the club’s income from selling the T-shirts, where y represents the money earned in dollars and x represents the number of T-shirts sold. The graph represents this situation.

Assuming that the club members sell all the t-shirts they buy, when will the club make a profit?

• When 36 t-shirts are sold

• When 360 t-shirts are sold

• When more than 36 t-shirts are sold

• When fewer than 36 t-shirts are sold

Which graph represents an inconsistent system?

• 
• 
• 
• 

Which of the following is a solution to the equation shown in the graph?

• (4,-3)

• (4,3)

• (-4,3)

• (-4,-3)