Exam 1: Equations and Inequalities

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. -

Write the expression in the standard form a + bi. -(8 - 7i)+ (9 + 5i)

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

Solve the problem. -Don James wants to invest $65,000 to earn $6,600 per year. He can invest in B-rated bonds paying 15% peryear or in a Certificate of Deposit (CD)paying 6% per year. How much money should be invested in eachto realize exactly $6,600 in interest per year?

Solve the equation. -

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

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

Solve the problem. -Gary can hike on level ground 3 miles an hour faster than he can on uphill terrain. Yesterday, he hiked 33miles, spending 2 hours on level ground and 5 hours on uphill terrain. Find his average speed on levelground.

Solve the problem. -How many liters of 80% hydrochloric acid must be mixed with 40% hydrochloric acid to get 15 liters of65% hydrochloric acid? Write your answer rounded to three decimals.

Use the discriminant to determine whether the quadratic equation has two unequal real solutions, a repeated real solution, or no real solution without solving the equation. -

Solve the equation. -

Solve the problem. -The length of a vegetable garden is 9 feet longer than its width. If the area of the garden is 90 square feet,find its dimensions.

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -During the first five months of the year, Len earned commissions of $2,620, $2,070, $3,510, $2,360, and$3,470. If Len must have average monthly earnings of at least $2,910 in order to qualify for retirementbenefits, what must he earn in the sixth month in order to qualify for benefits?

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

Solve the equation. -

Fill in the blank with the correct inequality symbol. -

Fill in the blank with the correct inequality symbol. -

Express the graph shown using interval notation. Also express it as an inequality involving x. -

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