Review of System of Linear Equations

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x
  y = 8.40 + x

• y = 9.65x + 43
  y = 8.40x + 58

• y =9.65x
  y = 8.40x

• y = 9.65x - 43
  y = 8.40x - 58

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 

• x + y = 1550
  y  = 4x

• x + y = 1550
  y = x + 4

• y - x = 1550
  y = 4x

• y = 1550 + x
  y = x + 4

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

• 10c + 5d = 14.25
  5c + 10d = 16.50

• 10c + 5d = 16.50
  5c + 10d = 14.25

• c + d = 10
  5c + 10d = 16.50

• c + d = 5
  5c + 10d = 16.50

Given that the graph represents a system of equations on a coordinate plane, how many solutions does the system have?

• no solution

• one solution

• infinitely many solutions

• can not be determined from the graph

Given that they graph represents a system of equations on a coordinate plane, how many solutions does the system have?

• no solution

• one solution

• two solutions

• infinitely many solutions

If two equations are graphed, how can you find the solution to the system of equations?

• Find the slope of point lines.

• Find where the lines intersect.

• Find where the slope is positive.

• Find where both lines cross the x-axis.

• One Solution

• No Solution

• Infinitely Many Solutions

How many solutions can be found for the set of linear equations?

y = 7(x + 2) and y = 7x + 14

• no solution

• one solution

• two solutions

• infinitely many solutions

Solve by elimination 
5x+6y= -10
3x-2y= -6

• (-2,0)

• (0,-2)

• (2,0)

• (0,2)