FREE BPP Mathematics Questions and Answers

Question 1

Increase in Y above decrease in X

Accepted Answer

Formula for slope

Answer

The formula for slope (m) is defined as the change in the y-coordinates divided by the change in the x-coordinates, often expressed as 'rise over run.' An 'increase in Y above decrease in X' directly describes this ratio of vertical change to horizontal change. This fundamental concept quantifies the steepness and direction of a line on a coordinate plane.

Question 2

To the right side of the equation, move all Constants. To both sides of the equation, add ((B/2)2). Calculate the square roots of the left side factor.

Accepted Answer

Completing the Square

Answer

The steps described—moving constants to one side, adding (B/2)^2 to both sides, and taking square roots—are the precise sequence used in the algebraic method of completing the square. This technique transforms a quadratic equation into a perfect square trinomial. This makes it easier to solve for the variable by isolating it and taking the square root.

Question 3

Y=mx*b

Accepted Answer

Slope Intercept Form

Answer

The equation Y=mx+b (assuming the asterisk is a typo and should be a plus sign) is the standard slope-intercept form of a linear equation. In this form, 'm' represents the slope of the line, indicating its steepness and direction. 'b' represents the y-intercept, which is the point where the line crosses the y-axis, making it particularly useful for graphing.

Question 4

Square root Both sides

Accepted Answer

Taking Square roots

Answer

The action of 'taking square roots' on both sides is a fundamental algebraic operation used to solve equations where a variable is squared. By applying the square root to both sides of an equation, one can isolate the variable and find its possible values. This method is crucial for solving quadratic equations or equations involving perfect squares.

Question 5

(y-y1)=m(x-x1)

Accepted Answer

Point Slope Form

Answer

The equation (y-y1)=m(x-x1) is known as the point-slope form of a linear equation. This form is particularly useful when you know the slope (m) of a line and a single point (x1, y1) that the line passes through. It allows for direct construction of the line's equation without first needing to find the y-intercept.

BPP - Bachelor’s Preparatory Programme Practice Test

BPP - Bachelor’s Preparatory Programme Practice Test

FREE BPP Mathematics Questions and Answers