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KS3
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Level 7-8 Algebra - Simultaneous Equations
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Q.1
Which of the following equations means exactly the same as 2x + 3y = 13?
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4x + 6y = 26
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6x + 4y = 26
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6x + 6y = 26
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6x + 6y = 13
Q.2
Which of the following equations means exactly the same as 7x - 5y = 17?
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12x - 12y = 51
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21x - 15y = 51
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21x + 15y = 51
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2x - 5y = 51
Q.3
Equation 1 is 2x + 3y = Equation 2 is 3x + 6y = How would we 'balance' one of the terms?
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Add the terms in Equation 1 to the terms in Equation 2
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Deduct the terms in Equation 1 from Equation 2
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Multiply the terms in Equation 1 by 2
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Multiply the terms in Equation 2 by 2
Q.4
Equation 1 is 8x - 3y = Equation 2 is 4x + y = How would we 'balance' one of the terms?
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Add the terms in Equation 1 to the terms in Equation 2
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Deduct the terms in Equation 1 from Equation 2
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Multiply the terms in Equation 1 by 2
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Multiply the terms in Equation 2 by 2
Q.5
We have balanced the y terms in two equations as follows: Equation 1 is 3x + 6y = 30 and Equation 2 is 4x + 6y = What do we now do with them?
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Add the terms in Equation 1 to the terms in Equation 2
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Take the terms in Equation 1 from the terms in Equation 2
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Divide Equation 1 by Equation 2
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Multiply Equation 1 by Equation 2
Q.6
We have balanced the x terms in two equations as follows: Equation 1 is 8x - 3y = 17 and Equation 2 is 8x + 2y = What do we now do with them?
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Take the terms in Equation 1 from the terms in Equation 2
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Add the terms in Equation 1 to the terms in Equation 2
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Divide Equation 1 by Equation 2
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Multiply Equation 1 by Equation 2
Q.7
By adding (or subtracting) one equation from another we have concluded that x has a value of 8 in the equation 3x + 6y = What is the value for y?
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Q.8
By adding (or subtracting) one equation from another we have concluded that y has a value of 5 in the equation 8x - 3y = What is the value for x?
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8
Q.9
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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x = 2 and y = 2
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x = 2 and y = 3
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x = 3 and y = 2
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x = 3 and y = 3
Q.10
What are the values of x and y that can be derived from the following simultaneous equations: 3x + y = 32 and 4x - 2y = 6?
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x = 5 and y = 12
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x = 6 and y = 10
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x = 7 and y = 11
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x = 8 and y = 6
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