Algebra Test Systems of Equations 2

Question 1

Solve by elimination: 3x + 2y = 16 and x - 2y = 0

Accepted Answer

x = 4, y = 2

Answer

x = 3, y = 3

Answer

x = 5, y = 1

Answer

x = 2, y = 4

Question 2

Two linear equations with the same slope but different y-intercepts have:

Accepted Answer

No solution

Answer

One solution

Answer

Infinitely many solutions

Answer

Two solutions

Question 3

Solve: y = 3x - 1 and y = x + 5

Accepted Answer

x = 3, y = 8

Answer

x = 2, y = 7

Answer

x = 4, y = 11

Answer

x = 1, y = 2

Question 4

What is the solution to: x + y = 7 and 2x - y = 2?

Accepted Answer

x = 3, y = 4

Answer

x = 2, y = 5

Answer

x = 4, y = 3

Answer

x = 5, y = 2

Question 5

A system with exactly one solution is called:

Accepted Answer

Consistent and independent

Answer

Inconsistent

Answer

Dependent

Answer

Trivial

Question 6

In the system y = 4x - 3 and y = 4x + 1, how many solutions exist?

Accepted Answer

None

Answer

One

Answer

Two

Answer

Infinitely many