Integrated Math 2 Second Semester Final Exam Review

Front

What are the vertices of an ellipse?

Back

The vertices of an ellipse are the points where the ellipse intersects its major axis. For the ellipse with the equation (x^2/a^2) + (y^2/b^2) = 1, the vertices are at (0, b) and (0, -b) if a < b.

Front

What are the co-vertices of an ellipse?

Back

The co-vertices of an ellipse are the points where the ellipse intersects its minor axis. For the ellipse with the equation (x^2/a^2) + (y^2/b^2) = 1, the co-vertices are at (a, 0) and (-a, 0) if a < b.

Front

Solve for x: 2x + 4 = 10

Back

x = 3

Front

Solve for x: 3x - 5 = 16

Back

x = 7

Front

Solve for x: 5x + 2 = 17

Back

x = 3

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a^2 + b^2 = c^2.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation ax^2 + bx + c = 0: x = (-b ± √(b^2 - 4ac)) / (2a).

Front

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

Back

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

Front

What is the distance formula?

Back

The distance between two points (x1, y1) and (x2, y2) is given by: d = √((x2 - x1)² + (y2 - y1)²).