1.
two lines, a and b, are represented by the following equations:
line a: 4x + 4y = 16
line b: x + y = 4
which statement is true about the solution to the set of equations? (4 points)
it is (1, 2).
there are infinitely many solutions.
it is (1, 5).
there is no solution.
2.
consider the following pair of equations:
x + y = –2
y = 2x + 10
if the two equations are graphed, at what point do the lines representing the two equations intersect? (4 points)
(–4, 2)
(4, 2)
(–2, 4)
(2, 4)
3.
consider the following system of equations:
y = 5x + 6
y = –x – 7
which description best describes the solution to the system of equations? (4 points)
line y = 5x + 6 intersects line y = –x – 7.
lines y = 5x + 6 and y = –x – 7 intersect the x-axis.
lines y = 5x + 6 and y = –x – 7 intersect the y-axis.
line y = 5x + 6 intersects the origin.
4.
consider the following set of equations:
equation a: y = 2x + 4
equation b: y = 3x + 1
which of the following is a step that can be used to find the solution to the set of equations? (4 points)
2x + 4 = 3x + 1
2x = 3x + 4
2x + 4 = 3x
2x + 1 = 3x + 4
5.
consider the following set of equations:
equation r: –3y = –3x - 9
equation s: y = x + 3
which of the following best describes the solution to the given set of equations? (4 points)
no solution
one solution
infinite solutions
two solutions