Alg 2 Unit 2 Review

To find a solution by graphing is to find the point where two lines intersect.

• True
• False

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Solve the system of Equation (x,y)
3x + y = –14
–2x – y = 9

• (-5,1)
• (5,-1)
• (1,4)
• (-1,4)

What is the solution to the system of equations?

y = 4x - 10

y = 3x - 5

• (7 , -15)

• (1, -5)

• (5 , 10)

• (1, 2)

A gym charges a one-time registration fee as well as a monthly fee. The cost of joining the gym for 4 months is $370, and the cost of joining for 6 months is $530. Write a system of equations to find the registration fee and monthly fee. m= months; r = registration fee.

• r - 4m = 370
  r - 6m = 530
• r + 4m = 370
  r + 6m = 530
• m + 4r = 370
  m + 6r = 530
• m - 4r = 370
  m - 6r = 530

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87
• 1.5x+0.5y=78.5
  1.5x+0.5y=87
• x+y=78.5
  1.5x+0.5y=87
• x+y=78.5
  x+y=87

Solve each system by substitution.

• A
• B
• C
• D

Is (3,-4) a solution to this system?

• yes
• no

Pick the ordered pair that is NOT a solution

• (0,0)
• (1,-1)
• (2,0)
• (4,-4)

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4
• y > 3x   and  y > -2x + 4
• y < 3x   and  y > -2x + 3
• y > 3x   and  y < -2x + 4