Topic

Algebra

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Quizzes in Algebra for HSC

Algebra Mathematics

Find all ordered pairs (x, y) satisfying x + y = -7 and xy = 12.

(-4, -3)
(-2, -5)
(-7, 12)
(12, -7)
(-3, -4)

Correct answer(s):

(-4, -3)
(-3, -4)

Algebra Mathematics

Solve the system 5x + 2y = 20 and -2x + 3y = -8.

x=0, y=4
x=5, y=-1
no unique solution
x=4, y=0

Correct answer(s):

x=4, y=0

Algebra Mathematics

Solve the system 5x + 1y = 31 and 3x + 4y = 5.

no unique solution
x=7, y=-4
x=-4, y=7
x=8, y=-5

Correct answer(s):

x=7, y=-4

Algebra Mathematics

Solve the system 5x + 3y = 5 and -2x + 4y = -28.

x=4, y=-5
x=5, y=-6
no unique solution
x=-5, y=4

Correct answer(s):

x=4, y=-5

Algebra Mathematics

Solve the system 4x + 1y = 4 and 2x + -1y = -4.

x=1, y=3
no unique solution
x=4, y=0
x=0, y=4

Correct answer(s):

x=0, y=4

Algebra Mathematics

Solve the system 4x + 1y = 11 and -2x + -1y = -3.

x=-5, y=4
x=5, y=-6
x=4, y=-5
no unique solution

Correct answer(s):

x=4, y=-5

Algebra Mathematics

Solve the system 3x + 2y = 11 and -2x + 2y = -4.

no unique solution
x=4, y=0
x=1, y=3
x=3, y=1

Correct answer(s):

x=3, y=1

Algebra Mathematics

Solve the system 5x + 2y = 3 and 2x + 4y = 14.

no unique solution
x=4, y=-1
x=-1, y=4
x=0, y=3

Correct answer(s):

x=-1, y=4

Algebra Mathematics

Solve the system 5x + -1y = -8 and -2x + 2y = 8.

x=-1, y=3
x=0, y=2
no unique solution
x=3, y=-1

Correct answer(s):

x=-1, y=3

Algebra Mathematics

Solve the system 2x + 1y = 24 and -2x + 2y = 0.

x=9, y=7
no unique solution
x=8, y=8

Correct answer(s):

x=8, y=8

Algebra Mathematics

Solve the system 4x + 2y = -10 and 3x + 3y = 0.

x=5, y=-5
no unique solution
x=-4, y=4
x=-5, y=5

Correct answer(s):

x=-5, y=5

Algebra Mathematics

Solve the system 2x + -1y = -19 and 2x + 3y = 17.

x=-4, y=8
no unique solution
x=-5, y=9
x=9, y=-5

Correct answer(s):

x=-5, y=9

Algebra Mathematics

Solve the system 3x + -1y = -8 and 2x + -1y = -4.

x=-4, y=-4
x=-3, y=-5
no unique solution

Correct answer(s):

x=-4, y=-4

Algebra Mathematics

Solve the system 5x + 1y = 27 and 2x + 4y = 36.

x=4, y=7
x=7, y=4
no unique solution
x=5, y=6

Correct answer(s):

x=4, y=7

Algebra Mathematics

Solve the system 4x + 2y = 38 and 3x + -1y = 16.

no unique solution
x=7, y=5
x=8, y=4
x=5, y=7

Correct answer(s):

x=7, y=5

Algebra Mathematics

Solve the system 3x + 2y = 24 and 2x + 2y = 20.

x=5, y=5
x=6, y=4
x=4, y=6
no unique solution

Correct answer(s):

x=4, y=6

Algebra Mathematics

Solve the system 3x + 1y = 15 and 2x + 3y = 10.

x=0, y=5
x=5, y=0
x=6, y=-1
no unique solution

Correct answer(s):

x=5, y=0

Algebra Mathematics

Solve the system 5x + -1y = 38 and 3x + 3y = 12.

x=8, y=-4
x=7, y=-3
no unique solution
x=-3, y=7

Correct answer(s):

x=7, y=-3

Algebra Mathematics

Solve the system 4x + -1y = 19 and 1x + 2y = -2.

x=4, y=-3
no unique solution
x=-3, y=4
x=5, y=-4

Correct answer(s):

x=4, y=-3

Algebra Mathematics

Solve the system 3x + 2y = 1 and 1x + 4y = -13.

x=4, y=-5
x=-4, y=3
no unique solution
x=3, y=-4

Correct answer(s):

x=3, y=-4