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- 1. Multiple Choice
Identify which method for solving systems is being described by this fact:
Equations must be written in slope-intercept form
Graphing
Substitution
Elimination (adding or multiplying)
- 2. Multiple Choice
Identify which method for solving systems is being described by this fact:
The intersection point of the two lines is an ordered pair (x, y) and determines the value of the solution to the system of equations.
Graphing
Substitution
Elimination (adding or multiplying)
- 3. Multiple Choice
Identify which method for solving systems is being described by this fact:
If one equation is isolated like y = 2x or
x = 7 - 4y then this method should be used.
Graphing
Substitution
Elimination (adding or multiplying)
- 4. Multiple Choice
Identify which method for solving systems is being described by this fact:
Use an isolated variable and plug that expression into the second equation in order to solve for the other variable. Plug that value back into the original isolated equation to solve for the second variable.
Graphing
Substitution
Elimination (adding or multiplying)
- 5. Multiple Choice
Identify which method for solving systems is being described by this fact:
Equations must have like terms "stacked" up vertically, usually written in standard form.
Graphing
Substitution
Elimination (adding or multiplying)
- 6. Multiple Choice
Identify which method for solving systems is being described by this fact:
If like terms have a matching coefficient but not opposite values, take the opposite of every term in one equation.
Graphing
Substitution
Elimination (adding or multiplying)
- 7. Multiple Choice
Identify which method for solving systems is being described by this fact:
If like terms do not have a matching coefficient, multiplying one or both of the equations by a certain factor to transform the equations into a set of like terms with a matching set of coefficients.
Graphing
Substitution
Elimination (adding or multiplying)
- 8. Multiple Choice
Identify which method for solving systems is being described by this fact:
The solution to a system of equations must make both of the equations true.
Graphing
Substitution
Elimination (adding or multiplying)
All 3 methods
- 9. Multiple Choice
Identify which method for solving systems is being described by this fact:
When solving the system a true statement results like 6 = 6 or 0 = 0 and the answer is Infinite Solutions.
Graphing
Substitution
Elimination (adding or multiplying)
All 3 methods
- 10. Multiple Choice
Identify which method for solving systems is being described by this fact:
When solving the system a false statement results like 0 = 6 or 4 = -1 and the answer is No Solutions.
Graphing
Substitution
Elimination (adding or multiplying)
All 3 methods
- 11. Multiple Choice
Identify which method for solving systems is being described by this fact:
When the lines are parallel and do not intersect at any points the solution is No Solutions.
Graphing
Substitution
Elimination (adding or multiplying)
All 3 methods
- 12. Multiple Choice
Identify which method for solving systems is being described by this fact:
When the lines are intersecting at every point because they coincide and are the exact same line the solution is Infinite Solutions.
Graphing
Substitution
Elimination (adding or multiplying)
All 3 methods
- 13. Multiple Choice
When using any of the 3 methods to solve a system of linear equations the resulting solution is the same no matter which method is used.
True; using any method will result in the correct solution.
False; the solution varies because the solution depends on which method is used.
- 14. Multiple Choice
Identify which method for solving systems is being described by this fact:
The drawback to using this method is that integer values are not always found at the intersection point and the solution might need to be estimated.
Graphing
Substitution
Elimination (adding or multiplying)
All 3 methods
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