Solve the following equations for the variable. You may use a calculator. Remember on the test, showing work could earn you partial credit

Represent each number line in interval notation and inequality notation.

20

Simplify each expression. Remember, there should be no negative powers in your final simplification.

Find an equation in slope intercept form for each situation. Then find an equation that would parallel and perpendicular to each equation you found.

Find the solutions of the following quadratic equations. Make sure to identify the a, b, and c.

Find the solutions of the following. Use your calculator to find each solution.

Answer each question.

For your math teacher’s birthday, you want to create a birthday card that's width is 1 cm longer then 3 times it’s length. You also know that you want the area to be their favorite number, 1,200 cm2. What would be the dimensions of the card?

A commercial jet airplane climbs at takeoff with a slope of 4/9. How far in the horizontal direction will the airplane fly to reach an altitude of 20,000 ft above the takeoff point?

Draw a representation of each expression and rewrite it in either interval or inequality notation.