NC Math 1 EOC Review

Front

Solve the quadratic equation: 2x² + 7x - 15 = 0

Back

The solutions are x = -5 or x = 1.5.

Front

What is the maximum height of an object launched upward at 64 ft/s from a height of 80 feet, represented by s(t) = -16t² + 64t + 80?

Back

The maximum height is 144 feet.

Front

If a paper copier reduces dimensions by 25% each time, what is the width after 5 copies if the original width is 7 inches?

Back

The width after 5 copies is 1.66 inches.

Front

Find the equation of a line that passes through (2,8) and is parallel to line GH.

Back

The equation is 2x + y = 12.

Front

What is the value of the x-coordinate in the system: x + 2y = -3 and x - y = -12?

Back

The value of x is -9.

Front

Define a quadratic equation.

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0.

Front

What is the vertex of a parabola represented by the equation y = ax² + bx + c?

Back

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

Front

Explain the concept of parallel lines in geometry.

Back

Parallel lines are lines in a plane that never meet; they have the same slope.

Front

What is the formula for the area of a triangle?

Back

The area A of a triangle is given by A = 1/2 * base * height.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.