Level 1 and 1A

Front

What is the equivalent expression for (z + 5)(z^2 - 4z + 6)?

Back

The equivalent expression is z^2 + z + 11.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (10, 18) and (−5, −12)?

Back

The slope is -2.

Front

What does the equation x = 6 represent on a coordinate grid?

Back

It represents a vertical line where all points have an x-coordinate of 6.

Front

What does the equation y = 6 represent on a coordinate grid?

Back

It represents a horizontal line where all points have a y-coordinate of 6.

Front

What is the definition of a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is the minimum value of a quadratic function?

Back

The minimum value occurs at the vertex if the parabola opens upwards.

Front

What is the solution to the equation 10 − 3(m − 5) = 2(5 − m)?

Back

The solution is m = 15.