Math 0094 Review

1. A 35% hydrochloric acid solution is to be mixed with a 65% hydrochloric acid solution to create 20 ounces of a 40% solution. How much of each solution is needed to create the mixture?

2. The complement of an angle is 20 degrees less than one-half of the angles’ supplement. Find the angle?

3. A six-foot tall man casts an eight-foot long shadow. At the same time a tree casts a 45 foot long shadow. How tall is the tree?

4. A circular swimming pool is to te surrounded by a three- foot wide concrete walkway. If the diameter of the pool is 45 feet, how many square feet of concrete will be needed to create the walkway?

5. Graph the line 5x – 3 y = 12.

6. Find the equation of the vertical and horizontal lines passing through (3, -9). What are the respective slopes?

7. Find the x and y intercepts of the line 8x +9y =16. Graph the line.

8. Find the slope of the line through (-2, 8) and (4, 6).

9. Find the equation of the line through (-2, 8), and (4, 6).

10. Find the equation of the line perpendicular to 3x + 4y = 12 through the point (6, 2).

11. Karl and Jim are going to swim across Cedar Lake. Karl gives Jim a two-minute head star. If Karl averages 70 meters per minute and Jim averages 56 meters per minute, how long will it take Karl to catch up to Jim? How far will they each have swum?

12. A company makes $1200 when the sell 15 computers in a week. Another week they lose $100 when they sell 5 computers. Find a linear function which relates their profits in terms of the number of computers sold. How many do they need to sell to at least break even?

13. The DNR catches and tags 50 deer in a wildlife reserve which they then release back into the wild. Two weeks later they catch 35 deer, 10 of which have tags. Approximate the number of deer in the reserve.

14. Solve the following inequalities and graph them on a number line. Then place the solution in interval notation.

a. 5x + 7 < 22

b. 8x + 3 <= -3(4x + 6)

c. 4 < -2x + 6 < 12