The Foundations in Algebra test has some questions worth 2 points and other questions worth 3 points.  The test is worth 40 points total.  If you know there are 17 questions on the test, which system below could be used to model this situation?Responses2x + 3y = 40x + y = 17 2x + 3y = 40 x + y = 17  x + y = 40x + y = 17 x + y = 40 x + y = 17  2x + 3y = 40x + y = 40 2x + 3y = 40 x + y = 40  2x + 17 = 403y + 17 = 40

Mrs. Williams created the Unit 9 Test.  Some of the questions are worth 3 points and other questions are worth 2 points.  The test is worth a total of 36 points.  Write an equation to model this situation if x represents the questions worth 3 points and y represents the questions worth 2 points.

A teacher is creating an assignment worth 70 points.The assignment will consist of questions worth1 point and questions worth 3 points. Whichequation represents this situation, where x representsthe number of 1-point questions and y represents thenumber of 3-point questions?A) xy4 = 70B) x y4( + ) = 70C) x y3 + = 70D) x y+ 3 = 70

In a basketball game, Marlene made 16 field goals. Each of the field goals were worth either 2 points or 3 points, and Marlene scored a total of 39 points from field goals.Part ALet x represent the number of 2-point field goals and y represent the number of 3-point field goals. Write a system of equations in terms of x and y to model the situation.Enter your answer in the space provided. Enter only your system.{+−×÷yx=()

Which system has no solution?Responsesy=9x+6.25−18x+2y=12.5y is equal to 9 x plus 6 point 2 5; negative 18 x plus 2 y is equal to 12 point 5y=3x+9x+8y=12.3y is equal to 3 x plus 9; x plus 8 y is equal to 12 point 3y=4.5x−5−3x+2y=6y is equal to 4 point 5 x minus 5; negative 3 x plus 2 y is equal to 6y=−3x+86x+2y=−4.5

Two times a number added to another number is 25.  Three times the first number minus the other number is 20.  Write a system to model the situation and find the numbers. Responses2x + y = 253x - 2y = 20The numbers are 7 and 9 2x + y = 25 3x - 2y = 20 The numbers are 7 and 9  2x + y = 203x - y = 25The numbers are 7 and 11 2x + y = 20 3x - y = 25 The numbers are 7 and 11  2x + 25 = y3x - 2y = 20The numbers are 9 and 7 2x + 25 = y 3x - 2y = 20 The numbers are 9 and 7  2x + y = 253x - y = 20The numbers are 9 and 7