9th Grade Math Final

Front

What is the formula for finding the midpoint M of two points A(x1, y1) and B(x2, y2)?

Back

M = ((x1 + x2)/2, (y1 + y2)/2)

Front

If the coordinates of A are -3 and the midpoint M is 5, how do you find the coordinate of B?

Back

Use the midpoint formula: M = (A + B)/2. Rearranging gives B = 2M - A.

Front

What is the perimeter of a triangle with vertices A(x1, y1), B(x2, y2), and C(x3, y3)?

Back

Perimeter = AB + BC + CA, where AB, BC, and CA are the lengths of the sides.

Front

How do you calculate the length of a side of a triangle given two points A(x1, y1) and B(x2, y2)?

Back

Length = √((x2 - x1)² + (y2 - y1)²) using the distance formula.

Front

What is the value of g(x) for the function g(x) = -3x + 4 when x = 4?

Back

g(4) = -3(4) + 4 = -12 + 4 = -8.

Front

What does it mean if a system of equations has no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

What is the general form of a linear equation in two variables?

Back

Ax + By = C, where A, B, and C are constants.

Front

How do you evaluate an expression with given values for variables?

Back

Substitute the values into the expression and perform the arithmetic operations.

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients determine the slope and the direction of the line represented by the equation.

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.