Algebra Test Systems of Equations

Question 1

Solve: x + y = 10 and x - y = 4

Accepted Answer

x = 7, y = 3

Answer

x = 6, y = 4

Answer

x = 8, y = 2

Answer

x = 5, y = 5

Question 2

When a system of two linear equations has no solution, geometrically the lines are:

Accepted Answer

Parallel

Answer

The same line

Answer

Intersecting at one point

Answer

Perpendicular

Question 3

Solve by substitution: y = 2x and x + y = 9

Accepted Answer

x = 3, y = 6

Answer

x = 2, y = 7

Answer

x = 4, y = 5

Answer

x = 1, y = 8

Question 4

A consistent dependent system has:

Accepted Answer

Infinitely many solutions

Answer

No solution

Answer

Exactly one solution

Answer

Exactly two solutions

Question 5

Solve: 2x + 3y = 12 and x = 3

Accepted Answer

y = 2

Answer

y = 1

Answer

y = 3

Answer

y = 4

Question 6

Which method eliminates a variable by adding or subtracting equations?

Accepted Answer

Elimination

Answer

Graphing

Answer

Substitution

Answer

Factoring