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Middle/High School Algebra, Geometry, and Statistics (AGS)
1.27 Linear Equations Review Test

Q 1: Solve 2x - 3y = 20 and x - 2y = 13.
x = 6 and y = -5
x = -5 and y = 6
x = -6 and y = 1
x = 1 and y = -6

Q 2: Solve 3x + 2y = 22 and 2x + 5y = 33.
x = 6 and y = 5
x = 5 and y = 6
x = 4 and y = 5
x = 5 and y = 4

Q 3: Solve 5/x + 2/y = 24 and 1/x + 3/y = 10.
x = 1/2 and y = 1/4
x = 1/4 and y = 1/2
x = 2 and y = 4
x = 4 and y = 2

Q 4: Find the solution set of natural numbers such that x+y = 5.
{(1,4),(2,3),(5,1)}
{(2,3),(3,2),(4,1),(5,1)}
{(1,4),(2,3),(3,2),(4,1)}
{(1,4),(3,3),(4,1)}

Q 5: If x - 8 = 12, then find the value of x.
15
20
6
4

Q 6: Solve the system graphically and choose the correct answer:
2y = 4x - 4
-8x + 4y = -8
lines are parallel
lines coincide
lines meet at one point

Q 7: Solve 5x + 2y = 24 and x + 3y = 10.
x = 4 and y = 2
x = 2 and y = 4
x = 6 and y = 3
x = 3 and y = 6

Q 8: If 15x = 105, then find the value of x.
Answer:

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