Algebra 1 Final Exam (Semester 1) 2024-2025

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is a measure of statistical dispersion, representing the range between the first quartile (Q1) and the third quartile (Q3) in a data set. It is calculated as IQR = Q3 - Q1.

Front

How do you solve the equation -11 + 3(b + 5) = 7?

Back

To solve for b, first simplify: -11 + 3b + 15 = 7. Combine like terms: 3b + 4 = 7. Then, subtract 4 from both sides: 3b = 3. Finally, divide by 3: b = 1.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form y = a(b^x), where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent. It represents growth or decay.

Front

How do you simplify the expression (5x^2 + x - 3) - (2x^2 + 3x + 6)?

Back

Combine like terms: (5x^2 - 2x^2) + (x - 3x) + (-3 - 6) = 3x^2 - 2x - 9.

Front

What is the formula for exponential growth?

Back

The formula for exponential growth is P(t) = P0 * e^(rt), where P0 is the initial amount, r is the growth rate, and t is time.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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 of the line and b is the y-intercept.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a), used to find the roots of a quadratic equation.