Question 1

Solve the problem.
-The radiator in a certain make of car needs to contain 40 liters of 40% antifreeze. The radiator now contains40 liters of 20% antifreeze. How many liters of this solution must be drained and replaced with 100%antifreeze to get the desired strength?

Accepted Answer

A) 10.0 L 
B) 16 L 
C) 20L 
D) 13.3 L

Question 2

Solve the equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 3

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 4

Solve the equation.
-6x - 4 + 7(x + 1)= -5x - 7

Accepted Answer

A)   
B) 1 
C)   
D) {-5}

Question 5

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

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Solve the equation by factoring.
-

Accepted Answer

A)   
B)   
C) {0} 
D)

Question 7

Solve the problem.
-Tracy can wallpaper 2 rooms in a new house in 4 hours. Together with her trainee they can wallpaper the2 rooms in 3 hours. How long would it take the trainee working by herself to do the job?

Accepted Answer

A) 18 hr 
B) 4 hr 
C) 22 hr 
D) 36 hr

Question 8

Write the word or phrase that best completes each statement or answers the question.
- - 5x + 6 = 0

Accepted Answer

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

Question 9

Solve the equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Write the inequality obtained by performing the indicated operation on the given inequality.
-Subtract 1 from each side of the inequality

Accepted Answer

A)   
B)   
C)   
D)

Question 11

Solve the equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Solve the problem.
-It costs $20 per hour plus a flat fee of $35 for a plumber to make a house call. What is an equation of theform y = ax + b for this situation?

Accepted Answer

A) y = 20x + 35 
B) y = 35x + 20 
C) y = 20x 
D) y = 35x

Question 13

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

Accepted Answer

A)   
B)   
C) {- 25} 
D) {- 65}

Question 14

Solve the formula for the indicated variable.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Write the word or phrase that best completes each statement or answers the question.
-x(x - 9)+ 20 = 0

Accepted Answer

A) {4, 5} 
B) {4, -5} 
C) {-4, 5} 
D) {-4, -5}

Question 16

Write the expression in the standard form a + bi.
-(7 + 3i)(5 - 6i)

Accepted Answer

A) 53 - 27i 
B) 53 + 27i 
C) 17 + 57i 
D)

Question 17

Solve the problem.
-x represents the number of cassette tapes sold at $10.00 per tape, and y represents the total cost of thecassette tapes. After writing an equation for this situation, what is the total cost of 4 cassettes?

Accepted Answer

A) $40 
B) $80 
C) $20.00 
D) $2.50

Question 18

Solve the problem.
-The manager of a candy shop sells chocolate covered peanuts for $5 per pound and chocolate coveredcashews for $14 per pound. The manager wishes to mix 80 pounds of the cashews to get a cashew-peanutmixture that will sell for $7 per pound. How many pounds of peanuts should be used?

Accepted Answer

A) 280 lb 
B) 140 lb 
C) 360 lb 
D) 180 lb

Question 19

Solve the equation.
-13(9x - 4)= 5x - 4

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Find the real solutions of the equation by factoring.
-

Accepted Answer

A) {-7, 0, 7} 
B)   
C) {-7, 7} 
D) {0}

Exam 1: Equations and Inequalities

Solve the problem. -The radiator in a certain make of car needs to contain 40 liters of 40% antifreeze. The radiator now contains40 liters of 20% antifreeze. How many liters of this solution must be drained and replaced with 100%antifreeze to get the desired strength?

Solve the equation. -

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. -6x - 4 + 7(x + 1) = -5x - 7

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

Solve the equation by factoring. -

Solve the problem. -Tracy can wallpaper 2 rooms in a new house in 4 hours. Together with her trainee they can wallpaper the2 rooms in 3 hours. How long would it take the trainee working by herself to do the job?

Write the word or phrase that best completes each statement or answers the question. - - 5x + 6 = 0

Solve the equation. -

Write the inequality obtained by performing the indicated operation on the given inequality. -Subtract 1 from each side of the inequality

Solve the equation. -

Solve the problem. -It costs $20 per hour plus a flat fee of $35 for a plumber to make a house call. What is an equation of theform y = ax + b for this situation?

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

Solve the formula for the indicated variable. -

Write the word or phrase that best completes each statement or answers the question. -x(x - 9) + 20 = 0

Write the expression in the standard form a + bi. -(7 + 3i) (5 - 6i)

Solve the problem. -x represents the number of cassette tapes sold at $10.00 per tape, and y represents the total cost of thecassette tapes. After writing an equation for this situation, what is the total cost of 4 cassettes?

Solve the equation. -13(9x - 4) = 5x - 4

Find the real solutions of the equation by factoring. -