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Grades 6, 7 and 8 - Math - Middle School - Algebra - Simultaneous Equations
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Avg score: 61% • Most missed: “Equation 1 is 2x + 3y = 19. Equation 2 is 3x + 6y = 30. How would we 'balance' o…”

Simultaneous equations have the same values.  
 

Grades 6, 7 and 8 - Math - Middle School - Algebra - Simultaneous Equations
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10 Questions

1. Equation 1 is 2x + 3y = 19. Equation 2 is 3x + 6y = 30. How would we 'balance' one of the terms?
2. Which of the following equations means exactly the same as 7x - 5y = 17?
3. Equation 1 is 8x - 3y = 17. Equation 2 is 4x + y = 21. How would we 'balance' one of the terms?
4. By adding (or subtracting) one equation from another we have concluded that y has a value of 5 in the equation 8x - 3y = 17. What is the value for x?
5. Which of the following equations means exactly the same as 2x + 3y = 13?
6. What are the values of x and y that can be derived from the following simultaneous equations: 3x + y = 32 and 4x - 2y = 6?
7. We have balanced the y terms in two equations as follows: Equation 1 is 3x + 6y = 30 and Equation 2 is 4x + 6y = 38. What do we now do with them?
8. By adding (or subtracting) one equation from another we have concluded that x has a value of 8 in the equation 3x + 6y = 30. What is the value for y?
9. We have balanced the x terms in two equations as follows: Equation 1 is 8x - 3y = 17 and Equation 2 is 8x + 2y = 42. What do we now do with them?
10. What are the values of x and y that can be derived from the following simultaneous equations: 8x - y = 13 and 12x - 3y = 15?

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