Systems of equations and inequalities

What are the two linear inequalities graphed here?

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

Which would be correct describing the solution for this graph of two inequalities?

• Any point that is NOT in the pink or blue is a solution to this system.
• Any point that falls in either the pink or blue is a solution to the system.
• Only a point that is on either boundary line is a solution to this system.
• There is no point that is a solution to this system.

Which points are solutions to the system shown?

• (5, 3) (6, -3)
• (3, 3) (5, -3)
• (-2, 2) (-4, 4)
• (1, 2) (1, 5)

What is the solution to this system?

• (-1, -2)
• (-2, -1)
• There is no solution.
• There are infinite solutions.

An exam worth 145 points contains 50 questions.  Some questions are worth two points and some are worth five points.  How many five point questions are on the test?

• 20
• 35
• 15
• 25

What type of solution does the system below have?
8x - 4y = 12
y = 2x - 3

• One solution
• No solution
• Infinite solutions

What type of solution does this system have?
2y - 30x = -6
-3y + 45x = 15

• One solution
• No solution
• Infinite solutions

Joe bought 2 pairs of jeans and 1 shirt for $120. Sam bought 1 pair of jeans and 3 shirts for $135. What are the two unknowns in this problem?

• the number of pair of jeans and shirts
• the price of a shirt and a pair of jeans
• the total price Sam and Joe paid
• the total number of shirts and jeans that Sam and Joe brought

You have a total of 17 coins.  All of your coins are nickels and dimes.  The total value of the coins is $1.35.  Which system of equations represents this situation?

• n+d=17
  .05n+.10d=1.35
• .05n+.10d=17
  n+d=1.35
• .25n+.10d=1.35
  n+d=17

An inequality using a > or a < has a ___________ line

• invisible
• solid
• dashed