Enhanced Algebra Final Exam Review

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the equation of a line in slope-intercept form?

Back

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that if one line has a slope of m, the other line's slope will be -1/m.

Front

How do you write an inequality to represent a budget constraint?

Back

An inequality representing a budget constraint typically takes the form of ax + by ≤ c, where a and b are the costs of items, x and y are the quantities, and c is the total budget.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its sides: P = a + b + c, where a, b, and c are the lengths of the sides.

Front

How do you calculate the volume of a sphere?

Back

The volume (V) of a sphere is calculated using the formula V = (4/3)πr³, where r is the radius of the sphere.

Front

What is the value of π (pi) used in calculations?

Back

The value of π (pi) is approximately 3.14, but it is an irrational number that continues infinitely without repeating.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal (e.g., 2x + 3 = 7), while an inequality shows that one expression is greater than or less than another (e.g., 2x + 3 < 7).

Front

How do you determine if a function is linear from a table of values?

Back

A function is linear if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.