Unit 8 Accommodated Test

Front

What is the point of intersection for the lines y = -2x + 4 and y = 0?

Back

(0, 4)

Front

How many solutions do the equations y = \frac{2}{3}x - 2 and y = \frac{2}{3}x + 3 have?

Back

no solution

Front

What is the graphical representation of the system of equations y = \frac{1}{2}x - 1 and y = -x - 1?

Back

(Graphical solution not provided)

Front

Is (-1, 3) a solution to the system of equations y = -x + 2 and y = 3x + 6?

Back

yes

Front

Solve for x in the system: 2x + y = -2 and -4x + y = -8. What is the value of x?

Back

1

Front

What does it mean if two lines are parallel in a graph?

Back

They have no points of intersection, meaning no solution.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point into both equations; if both are true, it is a solution.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis (x=0).

Front

What does it mean for a system of equations to have infinite solutions?

Back

The equations represent the same line, so every point on the line is a solution.