Math Test Preparation

Find a least common denominator and rewrite algebraic fractions as equivalent fractions.

Solve an equation containing algebraic fractions by clearing its denominators, then reject candidates excluded by the domain or invalid in the original equation.

Interpret function notation and connect an equation, input-output table, ordered pair, and point on a graph.

Find the x- and y-intercepts of a linear or quadratic function from its equation.

Find the vertex and axis of symmetry of a parabola from vertex or standard form and identify its opening direction.

Calculate missing angles using vertical angles, linear pairs, complementary or supplementary relationships, and the triangle angle-sum theorem.

Calculate missing angles formed by a transversal crossing parallel lines.

Factor a difference of two squares.

Factor a quadratic trinomial of the form ax² + bx + c.

Express sets of x-values using inequalities and interval notation.

Determine whether a linear function is increasing or decreasing over its entire domain from the sign of its slope.

Determine the intervals where a quadratic function increases and decreases from its vertex and opening direction.

Determine the intervals where a linear or quadratic function is positive or negative.

Find and verify the intersection points of two functions graphically or by solving f(x) = g(x).

Calculate missing sides or angles in an isosceles triangle using its defining properties.

Calculate a missing side of a right-angled triangle using the Pythagorean theorem.

Select an appropriate triangle-congruence criterion from given side and angle information.

Use triangle congruence to determine equal corresponding sides or angles.

Distinguish a parallelogram, rectangle, rhombus, square, trapezoid, and kite from their defining properties.

Calculate missing sides or angles in quadrilaterals by applying the properties of their specific type.