Exam 1: Equations and Inequalities

Write the word or phrase that best completes each statement or answers the question. -Kevin invested part of his $10,000 bonus in a certificate of deposit that paid 6% annual simple interest, andthe remainder in a mutual fund that paid 11% annual simple interest. If his total interest for that year was$800, how much did Kevin invest in the mutual fund?

Write the word or phrase that best completes each statement or answers the question. -

Solve the problem. -The number of centimeters, d, that a spring is compressed from its natural, uncompressed position is givenby the formula where W is the number of joules of work done to move the spring and k is thespring constant. Solve this equation for W. Use the result to determine the work needed to move a spring2 centimeters if it has a spring constant of 0.6.

Find a and b. -

Solve the inequality. Express your answer using interval notation. -

Solve the problem. -A chemist needs 130 milliliters of a 35% solution but has only 5% and 70% solutions available. Find howmany milliliters of each that should be mixed to get the desired solution.

Solve a Quadratic Equation by Completing the Square Write the word or phrase that best completes each statement or answers the question. Solve the equation by completing the square. -

Find the real solutions, if any, of the equation. Use the quadratic formula. - - 4x - 13 = 0

Solve the equation by factoring. -

Solve using the quadratic formula. Round any answers to two decimal places. -

Solve the inequality. Express your answer using interval notation. -

Solve the equation by factoring. -

Find the real solutions, if any, of the equation. Use the quadratic formula. -

Solve the problem. -After a 13% price reduction, a boat sold for $25,230. What was the boatʹs price before the reduction?(Round to the nearest cent, if necessary.)

Write the expression in the standard form a + bi. -

Write the word or phrase that best completes each statement or answers the question. -

Solve the problem. -Two trains leave a train station at the same time. One travels east at 7 miles per hour. The other traintravels west at 11 miles per hour. In how many hours will the two trains be 144 miles apart?

Write the word or phrase that best completes each statement or answers the question. -

Write the expression in the standard form a + bi. -

Solve the problem. -A bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 6% per year. If theinterest received was $6,040, how much was loaned at 13%?