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- 1. Multiple Choice
What is pair of linear equations in two variables?
a set of two or more linear equations in the same two variables
a polynomial with three terms
set of two linear equations in same two variables
- 2. Multiple ChoiceIf a system of equations has no solution, what does the graph look like?intersecting linesparallel linesskew linesintersecting lines
- 3. Multiple ChoiceIf a system of linear equations has one solution, what does this mean about the two lines?Parallel linesthe same lineIntersecting lines
- 4. Multiple ChoiceHow can you tell if a point is a solution to a system?It makes the first equation true.The (x,y) coordinates satisfy both equationsIt makes logical senseIt makes neither equation negative
- 5. Multiple ChoiceIf a pair of linear equations is consistent, then the lines will beparallelalways coincidentintersecting or coincidentalways intersecting
- 6. Multiple ChoiceThe value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is3– 3–12no value
- 7. Multiple ChoiceIf the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is–5/42/ 515/43/2
- 8. Multiple ChoiceFor what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines?1/2−1/22−2
- 9. Multiple ChoiceThe equations 4x + 3y – 1 = 5 and 12x + 9y = 15 representNo solutionInfinite many solutionUnique solution
- 10. Multiple ChoiceThe equations 4x + 3y = 5 and 12x + 9y = 15 representNo solutionInfinite many solutionUnique solution
- 11. Multiple Choice
There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?
d + c = 174
4d + 2c = 50
d + c = 50
4d + 2c = 174
d + c = 50
2d + 4c = 174
d + c = 174
2d + 4c = 50
- 12. Multiple ChoiceAlexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?3x + 2y = 315
2x + 4y = 4503x + 2y = 450
2x + 4y = 3152x + 2y = 315
3x + 4y = 450 - 13. Multiple Choice
A solution to a
system of linear equations
with two variables
is written as an ordered pair
( x, y ).
True
False
- 14. Multiple Choice
A solution to a system
of two linear equations
in two variables
must make BOTH
equations TRUE.
False
True
- 15. Multiple Choice
What is the solution to a system of equations?
The point that the equations have in common.
The point where the two lines intersect.
All of the above.
- 16. Multiple Choice
The ordered pair that satisfies (makes them true) all equations in the system is a called a ________________.
system of equations
function
graph
solution of a system
- 17. Multiple Choice
For what values of a and b does the following pair of equations have an infinite numbers of solutions. 2x+3y=7, a(x+y)-b(x-y)=3a+b-2
a = 5, b = - 1
a = - 5, b = 5
a = 5, b = 1
a = 1, b = 5
- 18. Multiple Choice
For what value of k will the following equations have infinitely many solutions? 2x-3y=7, (k+1) x+ (1-2k) y=5k-4
1
2
3
5
- 19. Multiple Choice
For what value of k will pair of equations have no solution? 3x+y=1 , (2k-1)x+(k-1)y=2k+1
1
2
3
4
- 20. Multiple Choice
What is the solution?1-2(1, 2)(1, -1) - Answer choicesTagsAnswer choicesTags