Question 1

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.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 2

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

Accepted Answer

A)   
B)   
C)   
D)

Question 3

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

Accepted Answer

A) 17 - 2i 
B) 17 + 2i 
C) -1 + 12i 
D) -17 + 2i

Question 4

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

Accepted Answer

A) {-2, 2} 
B) {2} 
C) {-3} 
D) {-2}

Question 5

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?

Accepted Answer

A) $30,000 in B-rated bonds and $35,000 in a CD 
B) $35,000 in B-rated bonds and $30,000 in a CD 
C) $31,000 in B-rated bonds and $34,000 in a CD 
D) $34,000 in B-rated bonds and $31,000 in a CD

Question 6

Solve the equation.
-

Accepted Answer

A) {3} 
B) {3, -3} 
C) {-3} 
D) no solution

Question 7

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

Accepted Answer

A)   
B) {6} 
C) {-5, 5} 
D) {10}

Question 8

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

Accepted Answer

A)   
B)   
C)   
D)

Question 9

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.

Accepted Answer

A)   
B)   
C)   
D)

Question 10

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.

Accepted Answer

A) 9.375 L 
B) 3.125 L 
C) 4.688 L 
D) 8 L

Question 11

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.
-

Accepted Answer

A) repeated real solution 
B) two unequal real solutions 
C) no real solution

Question 12

Solve the equation.
-

Accepted Answer

A) {-13} 
B) {13} 
C) {5} 
D) {52}

Question 13

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.

Accepted Answer

A) 6 ft by 15 ft 
B) 5 ft by 16 ft 
C) 7 ft by 16 ft 
D) 5 ft by 14 ft

Question 14

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?

Accepted Answer

A) at least $3,430 
B) at least $2,823 
C) at least $2,910 
D) at least $2,806

Question 15

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

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Solve the equation.
-

Accepted Answer

A) {-11} 
B) {11} 
C) {-13} 
D) {13}

Question 17

Fill in the blank with the correct inequality symbol.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 18

Fill in the blank with the correct inequality symbol.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 19

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

Accepted Answer

A)   
B)   
C)   
D)

Question 20

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

Accepted Answer

A) {5} 
B) {-5} 
C)   
D) {2}

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.

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. -