5.1, 5.2 and 5.4 Practice

Front

What is the equation to find x in the expression 52 + 5x + 16 = 10x + 8?

Back

To find x, set up the equation: 52 + 5x + 16 = 10x + 8.

Front

What are the solutions to the quadratic equation n² + 6n - 27 = 0?

Back

The solutions are n = -9 and n = 3.

Front

What type of triangle has all angles less than 90 degrees and all sides of different lengths?

Back

An acute scalene triangle.

Front

How do you find the measure of an angle in a triangle?

Back

Use the properties of triangles, such as the sum of angles in a triangle equals 180°.

Front

What is the measure of an angle if it is indicated as 70°?

Back

The angle measure is 70°.

Front

What is the measure of an angle if it is indicated as 107°?

Back

The angle measure is 107°.

Front

What is the formula for solving a quadratic equation?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

What defines a scalene triangle?

Back

A scalene triangle is defined as a triangle with all sides of different lengths.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

Front

What is the difference between acute, obtuse, and right triangles?

Back

Acute triangles have all angles less than 90°, obtuse triangles have one angle greater than 90°, and right triangles have one angle equal to 90°.