Question 1

Solve the equation by the Square Root Method.
-

Accepted Answer

A) {10, -4} 
B) {52} 
C) {7, -7} 
D) {-4, -10}

Question 2

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

Accepted Answer

The answer of Write the word or phrase that best...

Question 3

Solve the problem.
-The maximum number of volts, E, that can be placed across a resistor is given by the formula  where P is the number of watts of power that the resistor can absorb and R is the resistance of the resistorin ohms. Solve this equation for R. Use the result to determine the resistance of a resistor if P is  wattsand E is 30 volts.

Accepted Answer

A)   3,600 ohms 
B)   14,400 ohms 
C)   3,600 ohms 
D)   14,400 ohms

Question 4

Solve the equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 5

Solve the problem.
-Ken and Kara are 35 miles apart on a calm lake paddling toward each other. Ken paddles at 4 miles perhour, while Kara paddles at 7 miles per hour. How long will it take them to meet?

Accepted Answer

A)   
B)   
C) 24 hr 
D)

Question 6

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

Accepted Answer

A) {3, -1} 
B) {-3, 1} 
C) {3} 
D) no real solution

Question 7

Solve the problem.
-x represents the number of textbooks purchased at $30 per book, and y represents the total amount ofmoney spent on textbooks. After writing an equation for this situation, what is the cost of 3 textbooks?

Accepted Answer

A) $90 
B) $180 
C) $45.00 
D) $10.00

Question 8

Write the word or phrase that best completes each statement or answers the question.
-A ball is thrown vertically upward from the top of a building 144 feet tall with an initial velocity of 128 feetper second. The distance s (in feet)of the ball from the ground after t seconds is  Afterhow many seconds will the ball pass the top of the building on its way down?

Accepted Answer

A) 8 sec 
B) 144 sec 
C) 7 sec 
D) 10 sec

Question 9

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

Accepted Answer

A)   
B)   
C)   
D) no solution

Question 10

Solve the problem.
-The perimeter of a triangle is 65 centimeters. Find the lengths of its sides, if the longest side is 7 centimeterslonger than the shorter side, and the remaining side is 4 centimeters longer than the shorter side.

Accepted Answer

A) 18 cm, 22 cm, 25 cm 
B) 16 cm, 20 cm, 29 cm 
C) 20 cm, 22 cm, 23 cm 
D) 17 cm, 20 cm, 28 cm

Question 11

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

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Find the real solutions of the equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 13

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

Accepted Answer

A) {0, 5} 
B) {5, - 5} 
C) {0} 
D) {0, - 5}

Question 14

Solve the formula for the indicated variable.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Solve the equation.
-

Accepted Answer

A) {9} 
B) {-9, 9} 
C) {-9} 
D) no solution

Question 16

Solve the equation in the complex number system.
-

Accepted Answer

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

Question 17

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 18

Solve the equation.
-6(x + 7)= (6x + 42)

Accepted Answer

A) all real numbers 
B) {84} 
C) {0} 
D) no solution

Question 19

Fill in the blank with the correct inequality symbol.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Find the real solutions of the equation.
-

Accepted Answer

A) {-2, 7} 
B) {-7, 2} 
C) {-6, 1} 
D) {-1, 6}

Exam 1: Equations and Inequalities

Solve the equation by the Square Root Method. -

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

Solve the equation. -

Solve the problem. -Ken and Kara are 35 miles apart on a calm lake paddling toward each other. Ken paddles at 4 miles perhour, while Kara paddles at 7 miles per hour. How long will it take them to meet?

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

Solve the problem. -x represents the number of textbooks purchased at $30 per book, and y represents the total amount ofmoney spent on textbooks. After writing an equation for this situation, what is the cost of 3 textbooks?

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

Solve the problem. -The perimeter of a triangle is 65 centimeters. Find the lengths of its sides, if the longest side is 7 centimeterslonger than the shorter side, and the remaining side is 4 centimeters longer than the shorter side.

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

Find the real solutions of the equation. -

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

Solve the formula for the indicated variable. -

Solve the equation. -

Solve the equation in the complex number system. -

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. -

Solve the equation. -6(x + 7) = (6x + 42)

Fill in the blank with the correct inequality symbol. -

Find the real solutions of the equation. -