Math 3 Midterm Review Unit 1/2

Front

What is absolute value?

Back

Absolute value is a measure of the distance of a number from zero on the number line, always expressed as a positive value.

Front

Why is absolute value always written as a positive?

Back

Absolute value is talking about distance, and distance is always measured by positive numbers.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals, such as [a, b) or (a, b).

Front

How do you express the interval from -14.5 to 0.5 in interval notation?

Back

[-14.5, 0.5) is the correct interval notation.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the domain of the function -1/4 |x-5| + 8?

Back

The domain is all real numbers.

Front

What does it mean to solve for real roots?

Back

Solving for real roots means finding the values of x that make the equation equal to zero.

Front

If a quadratic equation has no real roots, what does that indicate?

Back

It indicates that the graph of the equation does not intersect the x-axis.

Front

What is the solution to the equation x^2 - 5x + 6 = 0?

Back

The solutions are x = 4 and x = 1.

Front

What is the solution to the equation x^2 + 4 = 0?

Back

There is no solution, as the equation has no real roots.