Math Algebra

Math 012

Quiz 1 Page 2

Please remember to show ALL of your work on every problem. If there is no work to show, then include a sentence or two explaining your answer.

Here are the basic rules of showing work:

a) Each step should show the complete expression or equation rather than a piece of it.

b) Each new step should follow logically from the previous step, following rules of algebra.

c) Each new step should be beneath the previous step.

d) The equal sign, =, should only connect equal numbers or expressions.

1) Solve the following equation: Show / explain your work

2) Solve the following equation: Show or explain your work

3) Solve the following equation: Show or explain your work

4) Solve the following equation for the indicated variable

solve for a

5) Solve the following equation for the indicated variable

solve for h

6) The second angle of a triangle is twice as large as the first. The measure of

the third angle is 20 degrees greater than the first. How large are the angles?

7) An electrician cuts a 40 ft piece of wire into two pieces. One piece is 2 ft longer than the other. How long are the pieces?

8) A long distance runner started on a course running at an average speed of 5 mph. One hour later, a second runner began the same course at an average speed of 8 mph. How long after the second runner started will the second runner overtake the first runner?

9) A motorcycle breaks down and the rider has to walk the rest

of the way to work. The motorcycle was being driven at 45mph, and the rider

walks at a speed of 6 mph. The distance from home to work is 25 miles, and the total

time for the trip was 2 hours. How far did the motorcycle go before if broke

down?

10) A family drove to a resort at an average speed of 30 mph and later returned over the same road at an average speed of 50 mph. Find the distance to the resort if the total driving time was 8 hours.