Extra Credit #23 - regents review 3

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you represent the cost of mowing lawns with a system of equations?

Back

Let x = number of small lawns, y = number of large lawns. The equations are: 20x + 30y = 140 (total earnings) and x + y = 6 (total lawns mowed).

Front

What does the absolute value function represent?

Back

The absolute value function represents the distance of a number from zero on the number line, regardless of direction.

Front

How do transformations affect the absolute value function?

Back

Transformations can include shifts (up, down, left, right) and reflections (over the x-axis or y-axis) that change the position and orientation of the graph.

Front

What is the formula for the area of a rectangle?

Back

The area A of a rectangle is given by A = length × width.

Front

How do you find the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by P = 2(length + width).

Front

What is the process for simplifying algebraic expressions?

Back

To simplify an expression, combine like terms, apply the distributive property, and reduce fractions if possible.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables raised to whole number powers and coefficients.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial function and its degree indicates the maximum number of roots.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors, which can help in solving equations.