Math 3 EOC Review - Solving & Simplifying Expressions

Front

What is a rational expression?

Back

A rational expression is a fraction where both the numerator and the denominator are polynomials.

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.

Front

What does it mean to divide rational expressions?

Back

Dividing rational expressions involves multiplying the first expression by the reciprocal of the second expression.

Front

What is the absolute value of a number?

Back

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

Front

How do you solve an equation involving absolute values?

Back

To solve an equation with absolute values, set up two separate equations: one for the positive case and one for the negative case.

Front

What is the process for solving polynomial equations?

Back

To solve polynomial equations, set the equation to zero, factor if possible, and then use the zero product property.

Front

What is the zero product property?

Back

The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

How do you find the y-value where two functions intersect?

Back

To find the y-value where two functions intersect, set the two functions equal to each other and solve for x, then substitute x back into either function.

Front

What is the significance of the y-intercept in a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, indicating the value of the function when x=0.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form, combining like terms and eliminating unnecessary parentheses.