Algebra Honors Semester 1 Final Exam 2024

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the next term in an arithmetic sequence?

Back

To find the next term, add the common difference to the last term.

Front

What is the inequality symbol for 'less than'?

Back

The symbol for 'less than' is <.

Front

How do you represent a linear inequality graphically?

Back

A linear inequality is represented by a shaded region on one side of the line, indicating all the solutions that satisfy the inequality.

Front

What is the value of f(1) if f(x) = 2x - 1?

Back

f(1) = 2(1) - 1 = 1.

Front

What is the common difference in the arithmetic sequence: -33, -24, -15, -6?

Back

The common difference is 9, calculated as -24 - (-33) = 9.

Front

How do you solve the inequality 220 + 2x < 176 + 4x?

Back

Rearranging gives: 220 - 176 < 4x - 2x, which simplifies to 44 < 2x, or x > 22.

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change, such as speed or growth rate, in a real-world scenario.