NC Math 1 EOC Released

Front

What is the formula for distance in a one-dimensional space?

Back

Distance = |x2 - x1|, where x1 and x2 are two points on a number line.

Front

What is the solution for x in the equation x + 3 = 0?

Back

x = -3.

Front

What is the largest integer value of x in the inequality x < 7?

Back

The largest integer value of x is 6.

Front

What does the graph of a quadratic function look like?

Back

A parabola, which can open upwards or downwards depending on the coefficient of the x^2 term.

Front

What is the vertex of the parabola represented by the equation y = ax^2 + bx + c?

Back

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

Front

What is the factored form of a quadratic equation?

Back

y = a(x - r1)(x - r2), where r1 and r2 are the roots of the equation.

Front

How do you find the roots of a quadratic equation?

Back

By using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).