Exam 1: The Real Numbers

Find all numbers x satisfying the following equation.

Evaluate:

Expand the given expression. (2x + 9y + 4z)²_.

Find all numbers x satisfying the equation. If there is more than one answer, enter the largest one first and separate them by commas.

Write the set as an interval or as the union of two intervals.

Find all numbers x satisfying the inequality. Give your solution in interval notation.

Write the intersection as a single interval.

Let and . Find a number C such that A + B + C equals .

Find all numbers x satisfying the equation. If there is more than one answer, enter the largest one first and separate them by commas.

Write the union as a single interval.

Simplify the given expression as much as possible.

Fill in the blank.

Simplify the given expression as much as possible.

Write the union as a single interval.

Given the irrational number , find a number B such that A + B = 6.

Write the set as an interval or as the union of two intervals.

Let . Find an irrational number B such that the product AB is rational

Given the irrational number , find a number B such that A + B = .

Write the set as an interval or as the union of two intervals.

Find all numbers x satisfying the inequality. Give your solution in interval notation.