Benchmark Review Day 3

Match the following graphs to the systems of equations

• 
• 
• 

A system of equations is show on the coordinate plane.

Identify the solution to the system.

Tags

system

linear

plot

Tags

system

linear

plot

solve for y

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 

• y = 6.80 + .65x
  y=7.30+.90x
• x + y = 6.80
  x + y = 7.30
• y = 6.80+.90x
  y = 7.30 + .65x
• y + .90x = 6.80
  y + .65x = 7.30

Drag and drop the graphs to match their solutions.

• No solution

• 
• (3,-2)

• 
• (-2,-1)

• 
• Infinite Solutions

• 

The Smith and Thompson families went to the Barbecue restaurant for dinner. The Smith bought 4 brisket

meals (x) and 2 roasted chicken meals (y) for $60. The Thompson bought 3 brisket meals and 1 roasted chicken meal for $38.

​ (a)   +​ (b)   =​ (c)  

​ (d)   +​ (e)   = 38

• 4x
• 2y
• 60
• 3x
• y

Match the following

• Different Slopes

• One Solution

• Same slope & same y-intercept

• Infinitely Many Solutions

• Same slope, different y-intercept

• No Solution

Identify the two equations for the system given in the tables.  Select 2 equations. 

• $y=\frac{1}{2}x-2$

• $y=-\frac{1}{2}x-2$

• $y=\frac{3}{2}x+2$

• $y=-\frac{3}{2}x+2$

Solve the following system using any method.

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)