a) b) 1 c) 19 d) e) none of these 2.) 80 0 a) undefined b) 1 c) 80 d) 0 e) none of these Evaluate the expression 3.) a) b) c) d) e) none of these

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Download "a) b) 1 c) 19 d) e) none of these 2.) 80 0 a) undefined b) 1 c) 80 d) 0 e) none of these Evaluate the expression 3.) a) b) c) d) e) none of these"

Alvin Owens
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1 Math 5 Review Practice Questions *Note 1: The actual Math 5 final exam may include, but is not limited to, the problems in this handout. Study your notes, past homework assignments, quizzes, and tests. Also, see a tutor and/or your professor if you need any additional assistance. *Note : NO NOTES OR GRAPHING CALCULATORS ARE ALLOWED ON THE FINAL EXAM. Perform the indicated operation. Write in lowest terms. 1.) a) b) 1 c) 19 d) 9.) 80 0 a) undefined b) 1 c) 80 d) 0 Evaluate the expression 3.) a) 1 b) Simplify the algebraic expression..) c) d) a) 3+13 b) 3+7 c) 1+17 d) 3+17 Solve the equation. Check your solution. 5.) = a) b) c) d).) 5 5=9+5 a) 5 b) 0 c) 0 d) 70 7.) 3 7+= +9 a) 8 b) 3 c) all real numbers d) RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5-1

2 Solve the problem. 8.) If two planes leave an airport at the same time with one flying west at 00 miles per hour and the other flying east at 0 miles per hour, how long will it take them to be 0 miles apart? a) hours b) 3 hours c) 5 hours d) 3.5 hours Solve the problem. 9.) After a 17% price reduction, a boat sold for $070. What was the boat s price before the reduction? (Round to the nearest cent, if necessary.) a) $0,57.5 b) $8,11.90 c) $9,000 d) $11,588.3 Solve the inequality and express the solution in set builder notation. Graph the solution set on a real number line. 10.) a) ] 7-7 b) [ 7-7 c) ( > 7-7 d) ) < 7-7 Solve the problem. 11.) Two angles are supplementary. One angle is 0 less than three times the other. Find the measures of the angles. a) 100,80 b) 110,70 c) 10,10 d) 105,75 RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5 -

3 Graph the linear equation. 1.) = a) b) c) d) Provide an appropriate response. 13.) Given the equation 8=8, determine (i) x-intercept (ii) y-intercept a) (i) (-1, 0) b) (i) (,0) c) (i) (0,0) d) (i) (,0) (ii) (0,) (ii)(0,-1) (ii) (0,-1) (ii) (0,-1) 1.) Find the slope of the line that contains the points (, 5) and (9, -). a) undefined b) c) 0 d) Write the equation of the line that satisfies the given conditions. Write the equation in slopeintercept form, if possible. 15.) contains (5, -33) and (3, -17) a) = 8+7 b) =8 73 c) = d) = 1.) contains (1, -7) and is perpendicular to +3=17 a) = b) = RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 c) = d) = Math 5-3

4 Graph the inequality. 17.) a) b) c) d) - Graph the inequality. 18.) < a) b) c) d) RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5 -

5 Solve the system of equations. 19.) +=0 3 =8 a) No Solution b), 1 c) 1, d),1 0).. 0.= = 0.5 a) 0., 1 b) 0.1, 0. c) 0.1, d), 1 1). += + = a) No Solution b), c) infinitely many solutions d), ). 3=10 += a) No Solution b), c) infinitely many solutions d), 3.) 5 = 8 = 5 a) No Solution b), c) infinitely many solutions d), Solve the problem..) A twin-engine aircraft can fly 91 miles from city A to city B in hours with the wind and make the return trip in hours against the wind. Find the speed of the wind and the speed of the plane in still air. a) wind 38 mph b) wind 57 mph c) wind 19 mph d) wind 190 mph airplane 190 mph airplane 190 mph airplane 190 mph airplane 38mph RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5-5

6 Graph the system of linear inequalities. 5.) a) b) c) d) - - Perform the indicated operation..) 3m +7m 0 8m+8m 1 a) b) c) d) ) a) + b) 7 c) + d) 8+ Find the quotient using long division. 8.) a) +3+ b) +7 c) ++ d) ++7 RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5 -

7 Simplify the expression. Write the answer with only positive exponents. All variables are nonzero. 9.) 3x y 7x y a) 1 b) 1 c) 1 d) 10 Perform the indicated operation. Express the answer in scientific notation. 30.) a) b). 10 c) d) Provide an appropriate response. 31.) Find the GCF of 1,1x y, and 0x y. a) x y b) x y c) x y d) x y Factor the polynomial completely. If the polynomial cannot be factored, say it is prime. 3.) 1 a) x +1 b) x +1x+1x 1 c) x +1 d) prime Factor the polynomial completely. If the polynomial cannot be factored, say it is prime. 33.) a) b) c) d) ) 5 +9 a) prime b) 5x 7 c) 5x+75x 7 d) 5x+7 35.) a) 9x+x 5 b) 9x+5x c) 9x 5x+ d) prime RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5-7

8 Solve the equation. 3.) =5+9 a), 1 b), 0 c), 1 d), 1 Solve the problem. 37.) The width of a rectangle is kilometers less than twice its length. If the area of the rectangle is 5 square kilometers, find the dimensions of the rectangle. a) width = 7km b) width = km c) width = 8km d) width = km length = 8km length = km length = 7km length = 3km Provide an appropriate response. 38.) Evaluate when x=, y=,and z= 1 a) 7 b) 1 c) 5 d) Solve the problem. 39.) Bob needs to wash the windows on his house. He has a 17-foot ladder and places the base of the ladder 8 feet from the wall on the house. How far up the wall will the ladder reach? a) 1 ft b) 13 ft c) 15 ft d) 1 ft Solve the system of equations for the variable x =3.3 0.) =0.9 a) x = -1 b) x = -5 c) infinitely many solutions d) no solution Solve the problem. 1.) Two trains leave a city on parallel tracks, traveling the same direction. The passenger train is going twice as fast as the freight train. After 5 minutes, the trains are 30 miles apart. Find the speed of the freight train. a) 0 mph b) 80 mph c) 0 mph d) 5 mph RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5-8

9 Use the right triangle shown and find the missing length. If necessary, round to three decimal places..) a c b =, c = 10 b a) 8 b) 11. c) d) Solve the problem. 3.) Chandra has liters of a 1% solution of sodium hydroxide in a container. What is the amount and concentration of sodium hydroxide solution she must add to this in order to end up with 7 liters of a 3% solution? a) 5 L of 0% solution b) 5 L of 5% solution c) 5 L of 3% solution d) 5 L of % solution Graph the linear equation..) = a) b) c) d) Solve the system of equations. +3= 5.) 9= 3+18 a) (, ) b) c), +3= d), RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5-9

10 Solve the problem..) Find the length of the longer leg of a right triangle if the shorter leg is meters less than the longer leg and the hypotenuse is 0 meters. a) 13 m b) 1m c) 1 m d) 15 m 7.) In a triangle, the second angle measures four times the first. The measure of the third angle is 18 more than the second. Find the measures of the three angles. a) 18,7,90 b) 10,0,130 c) 8,,110 d) 0,80,80 State the property of real numbers that is being illustrated. 8.) ++ =+ + a) Commutative property of addition b) Distributive property c) Additive identity property d) Associative property of addition 9.) = a) Commutative property of multiplication b) Distributive property c) Multiplicative identity property d) Associative property of multiplication Solve the equation. Check your solution. 50.) += a) b) c) d) 51.) + = a) b) c) d) 5.) 3 +3 =1 3 a) b) c) d) RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5-10

11 Solve the inequality and express the solution in set builder notation. Graph the solution set on a real number line. 53.) 1 +8 a) ] b) [ c) ( > d) ) < Write the equation of the line that satisfies the given conditions. Write the equation in slopeintercept form, if possible. 5.) contains 7, and parallel to the line += a) = b) = c) = d) = + Factor completely. Identify ONE of the factors. 55.) a) x+y b)3+ c) 3a b d) 3x y Divide and simplify. 5.) a) 3 + b) + c) + d) 3 + Find the intercepts of the equation. 57.) += a) 3,0,0, b),0,0,1 c) 1,0,0, d),0,0,1 RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5-11

12 Solve the problem. 58.) Find the measure of two complementary angles if the larger angle is more than the smaller angle. a) 3 58 b) 3 7 c) d) 15 Find the prime factorization. 59.) 10 a) 3 5 b) 3 10 c) 3 5 d) 3 5 Replace the? with the correct symbol >,<,=. 0.) 18? 5 a) > b) < c) = d) none of these Find the slope of the line. 1.) a) b) 1 c) 7 d) Find the slope of the line..) a) b) 1 c) 7 d) RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5-1

13 Perform the indicated operation. Express the answer in scientific notation. 3.) a) b) c) d) Determine the number of solutions of the system. State whether the system is consistent or inconsistent. For a system that is consistent, state whether the equations are dependent or independent. State the solution of the system..) a) no solution; inconsistent b) infinitely many solutions; inconsistent; dependent c) one solution; consistent; independent;,1 d) one solution; consistent; independent; 1, Decide whether or not the ordered pair is a solution to the equation. 5.) 5=8 ;, a) Yes b) No c) none of these Simplify the expression..) 7 a) b) 5 c) d) RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5-13

14 Identify the graph that contains the solution to the system of equations. 7.) 3 = 1 += a) b) c) d) Solve the formula for the stated variable. 8.) = h ;solve for B a) = b) = c) =3h d) = Solve the formula for the stated variable. 9.) = h+ ;solve for b a) = b) = c) = d) = Solve the formula for the stated variable. 70.) x y=5 ;solve for y a) = b) = c) = d) = + RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5-1

15 Identify the real number line where the following points are plotted correctly. 71.), 1,, 1 a) b) c) d) Write the equation of the line that has the given properties. Write the equation in slopeintercept form, if possible. 7.) contains 3, ; has slope = a) = + b) =3 c) = d) = + Solve the problems. 73.) An airplane flying 5,350 feet is directly over a submarine that is 375 feet below sea level. What is the distance between a person in the plane and a person in the submarine? a),975 b) 5,75 c) 5,350 d) ) Tickets to a student theater production cost $8 for students and $10 for nonstudents. The receipts for opening night came to $370 from selling 390 tickets. How many student tickets were sold? a) 300 b) 75 c) 150 d) ) In a recent poll conducted by Zogby International of 100 adult Americans, 80 stated that they believe that they eat healthy foods. What percentage of adult Americans believe that they eat healthy foods? a) 70% b) 75% c) 8.5% d) 5% RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5-15

16 Simplify. 7.) 3x y a) 9 b) 9 c) 9 d) 1 Graph the inequality. 77.) a) b) c) d) Simplify. a) 78.) b) c) d) RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5-1

17 Math 5 Review Practice Answers 1. d. a 3. b. d 5. b. d 7. d 8. a 9. c 10. b 11. d 1. d 13. b 1. d 15. a 1. c 17. d 18. c 19. b 0. b 1. d. a 3. b. a 5. c. e 7. c 8. b 9. b 30. b 31. c 3. b 33. d 3. a 35. c 3. d 37. c 38. c 39. c 0. a 1. a. a 3. d. c 5. c. c 7. a 8. a 9. d 50. b 51. c 5. c 53. b 5. d 55. c 5. a 57. b 58. a 59. d 0. a 1. e. a 3. d. c 5. a. d 7. b 8. a 9. b 70. b 71. c 7. d 73. b 7. d 75. a 7. b 77. d 78. d RETYPED BY MOLIVAS 1/05/01 revised 1/05/01 Math 5-17

Remember, you may not use a calculator when you take the assessment test.

Elementary Algebra problems you can use for practice. Remember, you may not use a calculator when you take the assessment test. Use these problems to help you get up to speed. Perform the indicated operation.