Mathematics Lecture Notes

These flashcards cover key concepts in algebra, including equations of lines, functions, and inequalities.

What is the equation of the line that passes through the point (5, -6) with a y-intercept of +9?

The equation is Y = -3x + 9.

What does the notation f(x) = 2x - 11 represent?

This notation represents a function of x.

Is f(-7) = -25 a function?

Yes, this is a valid function.

What is the general form of the equation of a line?

The general form is Y = mx + b, where m is the slope and b is the y-intercept.

If the lines y = 3x + 5 and y = 4x - 2 are compared, are they parallel or perpendicular?

They are neither parallel nor perpendicular because their slopes are not equal or negative reciprocals.

What does the inequality 2x - 2 ≤ -2 describe?

It represents a range of values for x that satisfy the inequality.

What is the slope of the line described by the equation y = -1/2x + 2?

The slope is -1/2.

Identify the value of m in the equation 6x - 7 = 2(4x - 1) + 1.

The value of m is 2.

What is the function represented by the equation f(x) = 3x - 2?

This is a linear function of x.

What is the solution for x in the equation -7 = 2x - 1?

The solution for x is 3.