8th grade review

Front

What is the result of translating a point (x,y) by (a,b)?

Back

The new coordinates will be (x+a, y+b).

Front

How do you find the volume of a cone?

Back

Volume = (1/3) * π * r^2 * h, where r is the radius and h is the height.

Front

What is the formula for the volume of a cylinder?

Back

Volume = π * r^2 * h, where r is the radius and h is the height.

Front

What is a linear function?

Back

A function that can be graphically represented as a straight line, typically in the form y = mx + b.

Front

What happens to the coordinates of a point after a reflection across the y-axis?

Back

The x-coordinate changes sign: (x,y) becomes (-x,y).

Front

What is the result of a 180-degree rotation of a point (x,y) around the origin?

Back

The new coordinates will be (-x,-y).

Front

What does it mean for a system of equations to have no solution?

Back

The lines represented by the equations are parallel and never intersect.

Front

How do you determine if two lines are parallel?

Back

If their slopes are equal and their y-intercepts are different.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the distance formula between two points (x1,y1) and (x2,y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).