Systems of Equations Review for Assessment

• (2, -2)
• (2, 2)
• (-2, 2)
• (-2, -2)

What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x

• (3,1)
• (1,3)
• (-3,1)
• (3,-1)

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Based on the graph, which of the statements appears to be true?

• The ribbons sold by Erica on day 18, is 6 less than the number sold by Frank.

• The ribbons sold by Frank on day 18, is 6 less than the number sold by Erica.

• The number of ribbons sold on day 18, is the same for both Frank and Erica

• The number of ribbons sold on day 18 cannot be determined for either Frank or Erica.

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Jacques will wash the windows of a house for $15.00 plus $1.00 per window. Ray will wash them for $5.00 plus $2.00 per window. Let x be the number of windows and y be the total charge for washing them. Write an equation that represents how much each person charges to wash windows. Solve the system of equations and explain what the solution means and when it would be most economical to use each window washer.

• y=x+$15

  y=$2x+$5

• y=$2x+$15

  y=x+$5

Larry and his sister, Betty, are saving money to buy their own laptop computers. Larry has $215 and can save $35 each week. Betty has $380 and can save $20 each week. When will Larry and Betty have the same amount of money? Give the equations and the point of intersection.

• Larry: y = 25x + 215 ; Betty: y = 10x + 380 . The solution is (26, 300). They will both have $300 in 26 weeks.

• Larry: y = 35x + 215 ; Betty: y = 20x + 380 . The solution is (11, 600). They will both have $600 in 11 weeks.

• Larry: y = 15x + 615 ; Betty: y = 65x + 80 . The solution is (10, 1500). They will both have $1500 in 10 weeks.

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

• (2, 0)
• (-2, 0)
• (0, 2)
• (0, -2)

• (-3, 0)
• (0, 3)
• (3, 0)
• (0, -3)