Hey, SoLE System Quiz
Question Number 1
The equations , y = 0.5x + 2 and y = -2x - 3 has ____ solution(s).
A. no
B. one
C. two
D. three
Question Number 2
A system of two linear equations may have infinitely ____ solutions.
A. one
B. two
C. three
D. many
Question Number 3
A system of two linear equations may have no _______.
A. variables
B. solutions
C. a and b
D. none of the above
Question Number 4
A system of linear equations is just a set of ___ or ____ linear equations.
A. one or two
B. two or three
C. two or more
D. none of the above
Question Number 5
If the lines intersect at zero points, the lines are _____.
A. independent
B. intersecting
C. parallel
D. a and b
Question Number 6
Solve the following system of equations by substitution: 5+2y=x-3 ; 3x+2y=11
A. (13/4,19/3)
B. (-19/4,13/8)
C. (-13/8,19/4)
D. (19/4,-13/8)
Question Number 7
To eliminate the variable x from the system of equations; 6x + 10y = 15 and 10x - 2y = 11 , we could,
A. multiply the first equation by -5 and the second equation by 3
B. multiply the first equation by 11 and the second equation by -15
C. multiply the first equation by 10 and the second equation by 6
D. leave the first equation unchanged and multiply the second equation by 5
Question Number 8
Solve the following system of equations by substitution: y= -x +7 and 9+x+y=0
A. (2,1)
B. (-3,4)
C. (-1,0)
D. this system has no solutions
Question Number 9
Solve the system of equations; 2x + 3y = 5 and y + 2x = 7
A. (4,-2)
B. (-2,4)
C. (4,-1)
D. (-2,-5)
Question Number 10
Which method(s) would you use for the following system? x + y = 4 and -3x + 5y = 14
A. Substitution
B. Addition
C. a or b
D. none of the above
Question Number 11
Complete the statements: A solution to a system of equations
A. must satisfy one or more of the equations in the system
B. must not satisfy any equations in the system
C. is a collection of points containing one point for each equation in the system
D. must satisfy every equation in the system
Question Number 12
Complete the following statement: If two lines are parallel, they have
A. one point of intersection
B. either no points of intersection, or infinitely many points of intersection
C. no points of intersection
D. infinitely many points of intersection.
Question Number 13
Which method(s) would you use for the following system? 3x - 2y = 14 and 11x + 12y = 33
A. Addition
B. Substitution
C. a & b
D. none of the above