Exam Algebra 2 Midterm 2024-2025 Year

Front

Find the slope of the line passing through the points (1,8) and (3,12).

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1). For points (1,8) and (3,12), m = (12 - 8) / (3 - 1) = 4 / 2 = 2.

Front

Factor the quadratic expression: 2x² + 3x - 9.

Back

The factored form is (x + 3)(2x - 3).

Front

If set A contains all prime numbers between 0 and 23, what is the probability of picking an odd number at random from set A?

Back

Set A = {2, 3, 5, 7, 11, 13, 17, 19, 23}. There are 8 odd primes (3, 5, 7, 11, 13, 17, 19, 23) and 1 even prime (2). Probability = Number of odd primes / Total primes = 8 / 9 = \frac{7}{8}.

Front

What type of function is represented by the graph of a cubic root?

Back

The function is a Cubic Root Function, represented as f(x) = \sqrt[3]{x}.

Front

Describe the transformation of the parent graph: compression by 1/2, left 1, down 3.

Back

This transformation means the graph is compressed vertically by a factor of 1/2, shifted left by 1 unit, and shifted down by 3 units.

Front

What is the formula for the slope of a line?

Back

The slope (m) is given by the formula: m = (y2 - y1) / (x2 - x1).

Front

How do you factor a quadratic expression of the form ax² + bx + c?

Back

To factor, find two numbers that multiply to ac and add to b. Rewrite the middle term and factor by grouping.

Front

What is the definition of a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

What is the probability formula?

Back

Probability = (Number of favorable outcomes) / (Total number of outcomes).

Front

What is the general form of a cubic function?

Back

The general form of a cubic function is f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants and a ≠ 0.