NC Math 1 EOC Review

Front

What is the equation of a line that passes through the point (2,8) and is parallel to the line 2x + y = 6?

Back

The equation is 2x + y = 12.

Front

What does the equation V = 20x^2 - 363.2x + 2500 represent in the context of car value?

Back

It represents the value of a car from 1962 to 2000, where x = 0 corresponds to the year 1962.

Front

How do you find the midpoint of a line segment with endpoints A(3, 2) and B(5, 4)?

Back

The midpoint K is calculated as K = ((3+5)/2, (2+4)/2) = (4, 3).

Front

What is the slope of a line that is perpendicular to the line segment AB with endpoints A(3, 2) and B(5, 4)?

Back

The slope of line AB is 1, so the slope of the perpendicular line is -1.

Front

What is the total cost equation for rides at an amusement park if y = 1.5x + 20?

Back

The price per ride is $1.5.

Front

How do you solve the system of equations x + 2y = -3 and x - y = -12 for x?

Back

The value of x is -9.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and never intersect.

Front

What is the vertex of a quadratic function in the form V = ax^2 + bx + c?

Back

The vertex can be found using the formula x = -b/(2a).

Front

How do you determine if a quadratic function opens upwards or downwards?

Back

If a > 0, it opens upwards; if a < 0, it opens downwards.