Exam 2: Applications and More Algebra

Imperial Educational Services (I.E.S.)wants to offer a workshop in pollution control to key personnel at Acme Corporation.I.E.S.will offer the course to thirty persons at a charge of $50 each.Moreover,I.E.S.will agree to reduce the charge for everybody by $1.00 for each person over the thirty who attends,up to a total group size of fifty.It has been determined that the greatest revenue the I.E.S.can receive is $1600.What group size will give this revenue?

A teenager has $10,000 invested in a checking account paying 2.5% per year and a savings account paying 6.5% per year.The total interest earned in the two accounts at the end of the year was equivalent to an annual rate of 6% on the entire $10,000.How much was invested in each account?

The solution of > Is

Solve: < -2

A student receives grades of 63,75,66 in three midterms (out of 100 points).The final exam is worth 200 points.The student needs at least 70% to get a grade of C in the course.How many points,at least,must the student obtain (out of 200 points)to get a grade of C?

Solve: ≤ 1

Solve: 3(4x - 1)≥ 2(x + 4)

Solve: - ≤ 9x - (3 - x)

Solve: - < + 1

Evaluate:

The solution of 3x - 5 ≥ x - (4 - 2x)is

The number x minus four is less than 6 units from zero.What are the possible values for x?

Evaluate:

If x > 10 or x < -10,then

Evaluate:

An elder brother is twice as old as his younger brother at the present.Six years ago the elder brother was three times as old as the younger brother.Find the present age of the brothers.

Solve: < 5