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1Math 50 : Elementary Algebra

Prepare for the final exam.

1.

Solve:

2.

18 is 72% of what number?

     Set up the equation:

3.

Solve and graph the solution set of  .

4.

Solve and graph the solution set of  .

5.

Solve .

6.

Use the roster method to list the set of positive integers that are solutions of

.

7.

Solve  .

8.

An adult and a child are on a see-saw 14 ft long. The adult weighs 175 lb and    

     the child weighs 70 lb. How many feet from the adult must the fulcrum be

     placed so that the see-saw balances?  (Equation: )

9.

A manufacturing engineering determines that the cost per unit for a compact

     disc is $3.35 and that the fixed cost is $6180. The selling price for the

     compact disc is $8.50. Find the break-even point. (Break-even means your

     cost and your revenue are the same. Use the equation: Px = Cx + F)

10.

The pressure that a certain depth in the ocean can be approximated by the

     equation , where P is the pressure in pounds per square inch,

     and D is the depth in feet. Find the depth of a diver when the pressure on the

     diver is 45 lb/sq.in.

11.

If  , evaluate . (First solve for a, then evaluate.)

12.

To receive a B grade in a history course, a student must correctly answer 75

      of the 90 questions on an exam. What percent of the questions must a student

      answer correctly to receive a B grade? (Give the exact percent in fraction

      form.)

13.

Translate into a variable expression.  [Do not simply.]

(a)

the sum of a number divided by two and the number.

(b)

three less than the sum of a number and ten.

(c)

three-fourths of the sum of sixteen times a number and four.

1 Spring 2011

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