Algebra 2 Semester 1 Exam 2024

Front

What is the cosine function used for in trigonometry?

Back

The cosine function relates the adjacent side to the hypotenuse in a right triangle.

Front

How do you solve the equation |x - 6| + 4 = 10?

Back

Isolate the absolute value: |x - 6| = 6. This gives x - 6 = 6 or x - 6 = -6, leading to x = 12 and x = 0.

Front

What is the solution for x in the equation x^2 = 25?

Back

x = 5 or x = -5.

Front

In a matrix, how do you identify an element?

Back

Elements are identified by their row and column positions, e.g., the element in the second row, third column.

Front

What is the pattern in the sequence 13, 15, 17, 19?

Back

The pattern is to add 2; the next three terms are 21, 23, 25.

Front

Define the term 'absolute value'.

Back

Absolute value is the distance of a number from zero on the number line, always non-negative.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you find the slope of a line given two points?

Back

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

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0.

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.