Question

A system of equations is given below.
y = negative 2 x + one-fourth and y = negative 2 x minus one-fourth

Which of the following statements best describes the two lines?
They have the same slope but different y-intercepts, so they have no solution.
They have the same slope but different y-intercepts, so they have one solution.
They have different slopes but the same y-intercept, so they have no solution.
They have different slopes but the same y-intercept, so they have one solution.

Answer 1

The equations in the system below are equivalent.

y = 2 (x + 4). Y = 2 x + 8

How many solutions does the system have?

Answer 2

How many solutions does this system have?

6 x + 3 y = negative 12. y = negative 2 x + 4.

Answer 3

The measures of two supplementary angles total 180 degrees. The measure of angle y is 65 degrees less than the measure of angle x. What are the measures of the angles?
The measure of angle x is 122.5 degrees. The measure of angle y is 57.5 degrees.
The measure of angle x is 115 degrees. The measure of angle y is 65 degrees.
The measure of angle x is 57.5 degrees. The measure of angle y is 122.5 degrees.
The measure of angle x is 65 degrees. The measure of angle y is 115 degrees.

Answer 4

Which system of equations below has exactly one solution?
A(y = –8x – 6 and y = –8x + 6
B(y = –8x – 6 and One-halfy = –4x – 3
C(y = –8x – 6 and y = 8x – 6
D(y = –8x – 6 and –y = 8x + 6

Answer 5

What is the solution to the system of equations graphed below?


On a coordinate plane, 2 lines intersect at (2, negative 3).
(2, negative 3)
(Negative 3, 2)
(Negative 2, 3)
(3, negative 2)

Answer 6

The system of equations y = negative three-fourths x minus 1 and y = 2 x minus 4 is shown on the graph below.

On a coordinate plane, a line goes through (negative 2, 0.5) and (0, negative 1) and another goes through (0.5, negative 2) and (2, 0).

What is a reasonable estimate for the solution?
(1.1, –1.9)
(–1.9, 1.1)
(2.1, –3.9)
(–3.9, 2.1)

Answer 7

The graph for the equation y = 2 x + 4 is shown below.

On a coordinate plane, a line goes through (negative 2, 0) and (0, 4).

If another equation is graphed so that the system has one solution, which equation could that be?
y = 2 x minus 4
y = 2 (x + 2)
y = 2 (x minus 4)
y = x + 4