Woodland Communit College PREPARING FOR THE MATH ASSESSMENT The math assessment is an important step for students who want to take math courses. Math courses are required for all degrees. To prepare; Take a practice test There are four practice tests; Basic Math Pre-Algebra Elementar Algebra Intermediate Algebra Note: See http://wcc.ccd.edu/admissions/assessment.asp Refresh our math skills Review math tet books Practice eample problems Test our self Check other online resources Math TV: http://www.mathtv.com Purple Math: http://www.purplemath.com Khan Academ: http://www.khanacadem.org o Other helpful hints: Come to the assessment test after a good nights sleep and with some food in our stomach. Schedule the assessment when ou have time to focus. Don t schedule anthing right before or after. The assessment is not timed. During the assessment. Read the instructions ver carefull. Check our answers before ou submit them. Remain calm, and maintain a positive attitude. After the assessment If ou are not satisfied with our score our can do the following: Practice more Repeat the assessment You are allowed to retake the assessment after one month. Note: You can onl take the assessment three times in a two ears period and not more than three times a semester.
Mathematics & Statistics Course Sequencing Woodland Communit College Arithmetic Math 0 ** These classe could be take in an order, but must be taken before Math A Pre-Algebra Math Elementar Algebra Math 0 Intermediate Algebra Math Intermediate Algebra First Half Math A Elementar Algebra First Half Math 0A Intermediate Algebra Second Half Math B Elementar Algebra Second Half Math 0B * * * * * These A-B classes not available due to budget. College Algebra Math 0** Plane Trigonometr Math ** Calculus for Business, Social & Life Science Math 9 Introduction to Statistical Methods Stat First Year Calculus First Semester Math A First Year Calculus, Second Semester Math B Second Year Calculus, Math C Differential Equations Math Linear Algebra Math Online Resourses Algebra http://www.algebrahelp.com/ http://www.purplemath.com/ http://www.malgebra.com/algebra_solver.asp Trigonometr https://www.khanacadem.org/math/trigonometr/basic-trigonometr http://www.sosmath.com/trig/trig.html Calculus http://www.calculus-help.com/ http://www.sosmath.com/calculus/calculus.html Others http://www.mathtv.com http://www.khanacadem.org www.purplemath.com http://www.interactmath.com/
Woodland Communit College: Math Practice Test Basic Math Test (Arithmetic) The following problems are recommended practice problems for the arithmetic section of the placement test. Some of the problems ma or ma not be similar to the problems on the actual test. If ou struggle to complete an of the problems, we suggest that ou review those topics before ou take the test. Do not use the calculator to do these problems. (-6) Perform the indicated operation.. 87 78. 70 79. 7. 987 7. 6 ( + ) 6. 0 6 7. If the quotient of 6 and 6 is subtracted from 00, what is the difference? 8. Evaluate the following: (a) = (b) 8 = 0 0 (c) = (d) = 9. On a histor eam, two students scored 98 points, five students scored 87 points, one student scored 8 points, and si students scored 7 points. What was the average score of the class? 0. Find the perimeter of each shape. a. Triangle: b. Square: 6ft. ft 6 ft. inches. Solve + = 9. Solve 7 =. Find the prime factorization of the numbers (a) 98 (b) 0 (c) 08. Find the area of the each shape. a) b) feet inches 6 feet. Perform the indicated operations and simpl the answer. 0 9 (a) 8 (b) (c) 6
(d) + (e) 8 6 7 (f) 7 8 + (g) 8 0 6 + (h) 0 (i) + 6 6. A recipe calls for cup of flour. How much flour should be used if onl half the recipe is to be made? 7. Suppose that a ball is dropped from a height of 0ft. If the ball bounces back to 8 the height from which it was dropped, how high will it bounce on its third bounce? 8. Find the sum of and6. Subtract 8 from the sum. What is the difference? 9. Find the quotient of and6. Add to the quotient. What is the sum? 0 0. Arrange the numbers in order from smallest to largest. 6. (a) Change to a mied number. (b) Change 8,, 7 8 0 to an improper fraction.. A tree in Yosemite National park grew foot, foot, 8 7 foot and foot in four consecutive ears. How man feet did the tree grow during these four ears?. Find the product of the following and reduced if possible. (a) 6 (b) 6 8 7. Divide and reduce to lowest terms if possible. (a) (b) (c) 6 6. Add or subtract and reduced our answer if possible. 7 + (a) 8 6 (b) (c) (d) 0 6. Evaluate the following using order of operations + (a) 6 (b) 7 + (c) 0 6 8 60 7. Find the average of the numbers,,
8. Solve + = 6 9. Round each of the numbers as indicated. (a) 76. to nearest tenth. (b) 8.996 to nearest hundredth. (c)69.66 to nearest whole number 0. Add or subtract as indicated. (a).0 + 0.006 +. + 7 (b). -.76. Find the product. (a) 0. 0. (b) 0. 7 6.. To bu a car, ou can pa $06.0 in cash or ou can put down $00 and make 8 monthl paments of $0.0. How much would ou save b paing cash?. Divide (a) 8. 0. 0 (b). 6 ( round the answer to nearest hundredths). Change each decimal to fraction form or mied number form and reduce if possible. (a) 0. (b) 8. 6. Change each fraction to decimal form rounded to nearest hundredths place. (a) 7 (b) 6. Converting from percent notation to decimal notation. (a) % (b).% 7. Converting from a decimal to a percent. (a) 0. (b) 0.6 8. Solve = 6 = 9. Solve 0. How high is a tree that casts a ft shadow at the same time that an 8 ft light pole casts a 9 ft shadow?. Converting from fractional notation to percent notation. (a) (b) 6 %. Converting from percent to fractional notation.(a) 6% (b). % of 0 is what number?. 0% of what number is 8?. What percent of 0 is 6? 6. Tom paid $780 in local taes. This is 9% of his income. How much did Tom make? 7. Ram got an 80 on a math test. On the net test, he got an 8. What is percent of increase? 8. A 7ft ladder leans against a building. The bottom of the ladder is ft from the building. How high is the top of the ladder?
9. A wheel on a biccle is inches in diameter. What is the area and circumference of the wheel? ( Use π.) 0. Find the length of the hpotenuse of the given right angle triangle. cm 0cm. Find the area of the given triangle. 8m m. The triangles in each eercise are similar. Find the missing length. 0
. 007. 06. 77. 6 R. 0 6. 7 7. 9 8. (a) (b) (c) (d) 9. 8 0. (a) 7ft (b) 0 in. 7. 9 Math Practice Test answers Basic Math test (Arithmetic). (a) 98 = 7 7 (b) 0 (c) 08 = or. (a) sqin (b) 8 sqft 7. (a) (b) 7 7 8 = (c) (d) (e) = (f) (g) (h) (i) 9 6 0 7 6. cup 8 6 7. ft = ft 8 8 8. 6 9. = 0 0 0.,, 7. (a) (b) 9 67 9. ft = ft. (a) = ( b) 7. (a) 0 7 (b) = (c) = 9. (a) 9 9 (b) 0 6. (a) (b) 7. 7 0 (c) (c) 0 (d) 7
7 8. = 6 6 9. (a) 76. (b) 9.00 (c) 60 0. (a).66 (b).. (a) 0.076 (b).67. $0.90. (a) 06 (b) 0.99. (a) 9 (b) 8 0 0. (a). (b) 0.9 6. (a) 0. (b) 0. 7. (a).% (b) 60% 8. = 9. = 6 0. 8 ft 9. (a) 60% (b) 7.% 9. (a) (b) 6. 6. 70. % 6. $,000 7. % 8. 80 ft 9. area =.6 sqin circumference = 7.6in 0. cm. 60sqm 9. = =
Woodland Communit College: Math practice Test Pre algebra Math test The following problems are recommended practice problems for the pre-algebra section of the placement test. Some of the problems ma or ma not be similar to the problems on the actual test. If ou have struggle completing the problems, we suggest that ou review these topics before taking the test. Do not use the calculator to do these problems.. Insert the appropriate smbol in each blank that will make each statement true: <,>, or =. a) 7 b) c) d) 0 7 e) 6 6. Perform the indicated operations. (a) ( ) + ( ) (b) 0 + ( 7) (c) ( 0) + ( 6) + 8 (d) 0 (e) 0 (f). Multipl or divide. 6 ( ) a) () b) ( )( 6) c) ()( )( 0) d) e) 0. Find the value of the epressions using the rules for order of operations. a) 6 8 ( ) + 9 b) 7 + (6 ) ( 7 0) [ 9 ( 7) + 0 ( 0) ] c) 6 ( ) + (6 7) d). Simplif each of the following epressions b combining like terms.(a) ( ) + ( ) 9 + 6 (b) ( ) (c) a b + 7a b + 6ab ab (d) ( ) ( + ) 6. Evaluate 6 for =. 7. Perform the indicated operations. (a) ( ) (b) 6 (c ) 6 8 (d) 7 7 7 (e) + 0 8 8 (g) 9 (h) 7 6 8
(i) 6 8. Simplif. (a) 7 (b) 0 0 9. Solve the following equations. + (b) 8 0 ( a) = 9 (b) + = 8 + = ) (d) ( ) = 8 (c ) ( ) ( (e) 9 + = 6 (f) 6 ( + ) ( ) = ( ) (g) == (h) = 0 0. In each pair of numbers, which number is larger? a) 8.068, 8.86 b) 0.7, 0.7. A student missed 6 problems on a mathematics test and received a grade of 8%. If all the problems were of equal value, how man problems were on the test?. Evaluate + for = and =. Write the decimal 9. as a mied number in the lowest terms.. Write 0.007 in words. 9. Arrange in the order from the smallest to largest. 0.6,0.6,,,0. 699. 6 6. A circle has diameter d. Find the circumference of the circle. Use π =.. 7. Find the circumference of a circle with radius inch. (Useπ =. ). 8. John bought 9.8 pounds of apples at $. per pound. How much did he pa to nearest cent? 6 6 9. Find the unknown number in the following proportion. (a) = (b) = 9 0. If Tom can run miles in minutes, how far can he run in mintues?. A salon plas taped music constantl. Each tape plas for hours. How man tapes are plaed during 8 hours?. Carmen loaned $ 000 to a friend for 6 months at an interest rate of 8%. Find the simple interest.. How much cash would ou need to bu a used car for $6000 if the sales ta is calculated at %, the license fee is $9, and our credit union will let ou borrow 80% of our epenses?. Twice a number plus is equal to 0 more than the number. What is the number?. Twice the difference between a number and is equal to 6 times the number plus. What is the number?
6. Sven less than four times a number is equal to twice the number increased b three. Find the number. 7. Find the three consecutive odd integers such that the sum of the first and third is equal to 7 less than times second. 8. It takes d of ribbon to make bow. How man bows can be from 9 ards of ribbon? 9. One side of the triangle is ft more than another side and the third side is ft less than the less than the sum of the other two sides. If the perimeter is ft, what is the length of each side? 0. Round.069 to the nearest hundredth.. Evaluate s r when r = 6 and s =. Find the perimeter of a rectangular floor that measures ft b 9ft. 0. Find the complement of a angle. 0. Find the supplement of 68 angle.. Write % as a decimal. 6. Write 0. as a percent. 7. Write 8 7 as a percent. 8. 0 is what percent of 600/ 9. Find the sale price of an item whose original cost is $96 and the rate of discount is %. 0. Convert qt to gallons.. Convert 7in to feet.. Convert 7mm to centimeters.. Convert.96g to milligrams.. Fill in the missing values. (a) 6cm = m (b) 9.6cm = mm. A loan of $,000 is due in 6 months with annual interest rate of 0%. Find the total amount that will be due. 6. Translate the following sentence into an equation and solve it: when times a number is decreased b, the result is twice the number minus 7. 7. The width of a rectangular garden plot is ft less than the length. The perimeter of the plot is ft. fund the length and width. 8. Evaluate (a) 0 (b) + 9. simplif (a) ( )( ) (b) ( ) 0. Write 0.00089 in scientific notation.. Write,869,000 in scientific notation.. Write. 0 in standard form.. Write.00 0 in standard form.. Simplif each epression so that answer conations onl nonnegative eponents. (a) ( ) (b) ( ) 0 6 (c) t t t (d). Perform the indicated operations (a) ( 7)( ) (c) (e) 6 ( ) (b) ( ) (c) ( 7) ) (d) ( + 7 + 8) ( 6 7 + 7) (
6. The triangles in each eercise are similar. Find the missing length. 6 7. Find the missing leg of the given right angle triangle. 8 0 X 8. Find the area of the rectangle below. ft. ft. 9. Find the perimeter of the rectangle. ft. ft. 60. For the given linear equation fill in the table so that the corresponding points will lie on the graph of the given equation and then graph the line for that equation. + = 6 (,) 0 0
6. For the equation =, complete the table below, and then graph the equation in the rectangular coordinate sstem. Label each of our ordered pairs on the graph. (,) 0 Math practice Test answers Pre algebra Math test. a) <, b) <, c)<, d) > e)=. a) 8, b), c) 8, d), e), f). a) 0, b)8, c) 60, d) 7 e) undefined. a), b) 9, c) 8, d) 9. a)6, b) 6, c)0a b+ab, d) 6. 7. a) /8, b) 6, c) /6, d) 8, e) /, f) 9/, g)/6, h) 9/ i) 9/0 8. a) 6 9/69, b) /8, c )/0, 9. a) /, b) /0, c) /, d), e), f) /, g), h) / 0. a)8.86, b) 0.7. 0. 9 9. 9 0. One hundredth seven. 9/6, /, 0.699, 0.6, 0.6 6. 8.6 d 7.. inch 8. $.86 9. a), b)6 0.. 7. $00. $ 6.80.
. 6 6. 7.,7,9 8. 9.,6, 0..07. 6.. 8.. 0. 6..% 7. 87.% 8. 0% 9. 8.8 0..... 0.7. 960. a)0.6m, b) 960 mm. 00 6. 7. b9 8. a)/0, b) / 9. 6 b) 0..890..8690 7. 0.000. 00 6. a) /, b), 9 c) / t, d), e) /. a) 0+7, b) +, c) 0 +6 +, d) 0+, e) 0 + + 6. =.8, =. 7. =6 8. sq ft 9. 6 60. (,) 0 (0,) (,) - 0 (-,0)
6. (,) - - (,-) 0 - (0,-) (,)
Woodland Communit College: Math Practice Test Elementar Algebra Math Test The following problems are recommended practice problems for the elementar algebra section of the placement test. Some of the problems ma or ma not be similar to the problems on the actual test. If ou struggle to complete an problems, we suggest that ou review those topics before taking the test. Perform the indicated operations. ( 0 6 ) ( 8) +. ( 6) ( ) ( ) (6) + ( + ). 8 + 6. ( ). ( + ) + ( 6 + ) ( + + 7) 6. 7. 8. ( + ) ( ) 0 ( + ) 7 ( 6 + ) ( + ) 8 + from + from the sum of 7 and 9 + 9. Subtract 0. Subtract a when a = andb =. when = and =. ( ) when = and = 7 (b) = ( ) ( ) = 6 ( + 8 (d) = + (e) (8 ) = ( + ) = 6 ab 7c = F 9C = for F.. Evaluate the epression b + ab +. Evaluate the epression + 7. Evaluate the epression. Solve each equation. (a) ( ) ( ) = (c) ). Solve for. 6. Solve for b. 7. Solve 60 8. 8% of the students in a math class are male. There are 0 students in the class. How man students are male? 9. 7 is what percent of 0? 0. Three times a number minus 6 is equal to two times a number plus 8. Find the number.. A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 0 feet more than the length of the shortest side. Find the dimensions if the perimeter is 0 feet.. Solve + 7
. Solve < 0 + < 0 and <. Solve. Solve 8 6. Solve + 6 < 0 or > 6 7. Solve ( ) < ( ) 8. A shop advertised a % off sale. If a coat originall sold for $6. Find the decrease in price and the sale price. 80 9. Two angles are supplementar if their sum is. The larger angle measures three more than twice the measure of a smaller angle. Find the measures of each angle. 0. A inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece and the third piece is one inch more than four times the length of the first piece. Find the length of the each piece.. Part of the proceeds from a garage sale amounted to $80 in $ and $0 denominations. If there were 0 more $ bills than $0 bills, find the number of each denomination.. How man cubic centimeters of % antibiotic solution should be added to 0 cubic centimeters of 60% antibiotic solution in order to get a 0% antibiotic solution?. Find last ear s salar if after a % pa raise, this ear s salar is $,90.. Solve 8 7 = 9. Solve 6 + 9 = 6. Solve 9 + 6 + = 7. Solve + = 6 8. Find the -intercept and -intercept of = 0. Then graph the equation.
9. Find the slope and -intercept of the + = 6. Then graph the equation. 0. Find the slope of the line passes through (-, ) and (, -).. Find the equation of the line passes through (-, ) and (-, -). Write our answer in standard form.. Find the equation of a line passes through (, -6) with slope. Write the equation in slope intercept form.. Graph and find the slope of the line. (a) = (b) =. Find the equation of a line perpendicular to the line = and passing through (8,).. Find the equation of a line parallel to the line = and passing through (8,). 6 + = 6. Determine whether pair of lines is parallel, perpendicular or neither. + = 8 7. If f ( ) = +. Find f ( ) and f (). 8. Which of the following set of ordered pairs does not represent the function? Circle the answer. (a) { (b) (,),(,),(, ),(0,0)} {(,),(, ),(0,0),(, ) } (c) {(,0),(,6),(,0),(,) } (d) {(,),(,),(,6),(,9) } 9. Find the slope of a line perpendicular to the line described b + =.
0. Find the equation of the function passing through the point (, -) and perpendicular to. Write our answer in function notation. 8 = 6. Find the equation of the function passing through the point (-, -9) and parallel to + = 8. Write our answer in function notation.. Solve the sstem of equation b an correct method.. Solve the sstem of equation b an correct method. = 7 7 + = + = 9 = 90. Two angles are complementar if the sum of their measures is Find the measures of two complementar angles if one angle is twent nine times the other angle.. Jen has been pricing Speed Pass train fares for a group trip to New York. Three adults and four children must pa $7. Two adult and three children must pa $8. Find the price of the adult s ticket and the price of a child s ticket. 6. An office suppl store sells 7 writing tablets and pens for $6.0. Also, tablets and 9 pens cost $.0 find the price of each pen and tablet. 7. Graph the solution of the following sstem of linear inequalities. 6 < 8. Graph the solution of the following inequalit > 6. 9. Multipl and simplif. (a) 9 6) (b) + ( 8 8 (c) ( )(9 ) + (d) ( + )( + )
(e) ( a + )( a a + ) (f) ( +) 60. Simplif each epression. (a) ( ) + (b) (e) ( ( ) z ) z ( ) (f) ( ) 6 6 7 9 (c) ( 6 )(9 ) (d) ( a b )(7ab ) (g) 7 6 ( ) (h) 8 6. Simplif each of the following epressions. + ( ) 0 0 0 (a) (b) (c ) (d) (g) 0 (m n )(n n) (h) 6. Write 0.0000067 in scientific notation. 6. Write 90,000 in scientific notation..97 0 7 ( ) (e) + (f) 6. Write in standard form. 6. 0 8 0 and write the result in scientific notation. 6. Evaluate ( )( ) 66. Evaluate 0 0 67. Divide and simplif. (a) 7 + 6 8 and write the result in scientific notation. (b) 6 + 6 ( ) ( z ) (c) 8 + 9 + 6 + 6 (d) + 9 7 8 68. Factor completel. (a) 8 0 + 0 (b) + 7 8 (c) 6 7 (d) 0 96 (e) 7 6 (f) 0 + 96 (g) 8 + 9 + (h) + 6 (i) 6 (j) 8 (k) 0 + 80 ( l ) 8 7 69. Solve the following equations. (a) = 0 (b) = (c) ( ) = (d) ( )( + ) = 8 (e) 6 + = (f) 0 = 0
70. The length of a rectangle is 8 inches less than five times its width. Its area is square inches. Find the dimensions of the rectangle. 7. A diver jumps from a diving board that is feet above the water. The height h (in feet) of the diver is modeled b the position equation h = 6t +. Where t is time measured in seconds. How long will it take for the diver to reach the water? 7. A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 8 feet less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 6 feet.. o r 8 8. 8... 6. 9 7. 0 8. 9. 6 0. 7. 9. 6. 6 Elementar Algebra Answer Ke. a. + 6. = 7 c + 6. b= a 60 + 9C 7. F= 8. 9 9. 0% 0.. 7,, 9.. < b. c. d., e.
7. 9. << 6. 7. 8. 9. 0. o 9,,, 9. $ and $0. 60.,000., 9 7., 9 9 6. No solution 7., 6 o 8. X intercept (,0), intercept (0, ) 9. m=, intercept (0,)
0.. 7. =. a) = ; slope = 0 b) = ; Slope = undefined. =8. =8 6. Perpendicular 7. 8. d and c 9. m= 0.
.. (, ). (, ).. 9 and 6. table $0.80, pen $0.0 7. 8. 9. a., b. c. d. 6 e. f. z 60. a., b. c. d. e. f. 0 6 6 8 g. h. 8 8 9
z 6. a., b., c. d. 9 e. f. g. 6 9 h. m 9 6..67 0 6..9 0 6. 0.00000097 6..68 0 66. 0 9 67. A. b. c. 8 d. 7 6 7 68. a. b. 7 c. 9 d. 8 e. f. 6 g. 9 h. i. j. 9 k. 0 l. 6 9 69. a., 0, b.,7 c., d.,0 e.,0, f., 70. wid th =, length = 7 7. t = sec 7. 0 ft. n
Woodland Communit College: Math Practice Test Intermediate Algebra Math Test The following problems are recommended practice problems for the intermediate algebra section of the placement test. Some of the problems ma or ma not be similar to the problems on the actual test. If ou struggle to complete the problems, we suggest that ou review those topics before taking the test.. Factor completel. (a) + 7 (b) 6 8 (c) + 8 (d) 69 (e) 6 + (f) + + 0 (g) + 9 8 (h) 6 (i). Solve the equations b factoring. (a) = (b) ( + 7) = (c) = 8 (d) + 8 + = 0. Find the intercept of the given quadratic equation. (a) = + (b) = 6 8. A diver jumps from a diving board that is feet above the water. The height h (in feet) of the diver is modeled b the position equation h = 6t +. Where t is time measured in seconds. How long will it take for the diver to reach the water?. The difference of two numbers is. The sum of their square is. Find the numbers. 6. The area of a square is square units. Find the length of a side. 7. Find the two consecutive negative integers whose product is 0. Find the numbers. 8. Find the domain of each rational function. (a) f ( ) = (b) f ( ) = + 6 6 9. Perform the indicated operation. (a) + + (b) (c) + 8 + 6 + 9 + 9 + 0 + + (d) + (e) 9 + 0. Simplif the comple fraction. (a) 9 (b) + + 7 + (c) + 9 (d). Solve the following equations. (a) = + (b) = + + R. Solve the equation T = for S. S + U (c) + = 9
. Solve the equation = + for. z. Renee walks mi in the same time that Jane jogs 7. mi. If Jane jogs mph faster than Renee walks, then how fast does Jane jog?. The quotient of twice a number and three, minus one sith is the quotient of the number and two. What is the number? 6. Smith Engineering is in the process of reviewing the salaries of their surveors. During this review the compan found that an eperienced surveor can surve a roadbed in 6 hours. An apprentice surveor needs 9 hours to surve the same stretch of road. If the two work together, find how long it takes them to complete the job. 7. A paddle boat can move at a speed of km/h in still water. The boat is paddled km downstream in a river in the same time it takes to go 7 km upstream. What is the speed of the river? 8. Solve the equations. + 6 = 7 = 6 ( ) 6( ) + 6 = 0 0 = 0 (a) (b) ( ) (c) (d) (e) + 6 = 0 9. Solve the equation b completing the square. (a) + 9 = 0 (b) + = 0 0. Solve the quadratic inequalit. Graph the solution and write the solution in. interval notation. (a) + 6 + 6 < (b) (c) 0 + 6. Graph parabola. Find the verte and label the ais of smmetr. ( ) + (d) + 8 0 (a) f ( ) = (b) ( ) f = + (c) f ( ) = +. A triangle has a height of 8 and the base of 8. Given that the area of the triangle is square feet. Find the base and the height of the triangle.. If a projectile is fired straight upwards from the ground with the initial speed of 60 feet per second, then its height h in feet after t seconds is given b the equation h( t) = 6t + 60t. Find the maimum height of the projectile.. A jogger ran miles, decreased her speed b mile per hour, and then ran another miles. If her total time was.6 hours, find her speed for each part of her run. ( ) t 6. Use A = P + r to find the rate r at which $ 0,000 grows to $0,6 in ears. 7. One number is 8 more than another number, if the product of these numbers is 7. What are the two numbers? 8. Simplif each of the following. Assume all variables represent positive real number. 7 6 (b) 7 (a) 9 z (e) 8 0 (f) ( ) 7 ( c) (g) 8 6 0 7 00 8 (d) (h) 6 a b b 96 0
9. Perform the indicated operation. (a) 0 (b) ( 6 7 )( 6 + 7 ) (d) 08 8 8 (e) (g ) 0 + 9 7 (h) (c) ( 6 ) + 8 0 (f) 8 8 + 6 0. Rationalize the denominator in each epression. Assume all variables represent positive real numbers. (a) 8 9 (b) (c) + (d) 6 (e) +. Use rational epression to write as a single radical epression.. Solve the following equations.(check our answers). (a) + = (b) + + = (c) + =. Find the distance between ( 9, ) and (, ).. Perform the indicated operations write the answer in the form a + bi 7 + i (a) ( + i) ( 6 + i) + ( + i) (b) (c) (d) ( i) + i i 7 8 79. Simplif (a) i (b) i (c) i (d) 7 6. If f ( ) = 6 + and g( ) find gof (). 7. Find the inverses of the following functions. (a) f ( ) = 7 (b) f ( ) = 8 = ( ) 8. Graph ( a) f ( ) = + (b) f ( ) = + 9. Write log 0. 0.06 = as an eponential equation. 0. Write π = as a logarithmic equation. (c) f ( ) =. Write as a single logarithm. (a) log log ( + ) + log ( ) (b) 0 0 0 (c) log + log 0 log (d) log log ( + ) + log ( ) 6 6 6 +. Solve each equation for. (a) log( ) = 0. 9 (b) ln( ) =. (c) (d) log + log log e = (e) log + log 6 ( + 6) (f) log 6 ( + ) log = 6 = 6 8 = (g) ln + ln = 0 (h) log 8 = (i) log = (j) log 7 =. Find how long it would take for $800 to double if it is invested at 6% interest compounded monthl. Use nt r A = P + n and round to nearest tenth. 7
. In 007, German had a population of 8,800 thousand. At that time, German s population was declining at a rate of 0.0% per ear. If this continues, how long will it take German s population to 0.000t = e reach 8,000 thousand? Use 0 and round to nearest tenth.. Find the elevation of a delta jet of the atmosphere pressure outside the jet is.9lb/ in. Use 0. P =.7e gives the average atmosphere pressure P in pounds per square inch, at an altitude, in miles above the sea level. Round the answer to nearest tenth. 6. Graph parabola. Find the verte. = 6 7. Find the center and radius of the circle and then graph. 8. Graph the equation = 00 9. Graph the equation + 9 = 6 0. Graph the equation + = 8 8. Graph the equation = ( + ) =. solve (a) (b) + = = + = 60 (c) + + + = 0 + + = = (d) + = = Math practice Test answers. a. ( +9 0), b. ( 9) (+9) c. ( )( 7), d. ( ) (+), e. prime, f. (+)(+6), g. (+6)( ), h. ( )( +0+6), i. ( 6 )= ( )(+). a. ±, b,,, c., 0,, d.,. a.,, b., 7.. sec., 0 6. 7. 6, 8. a. {/ R and,}, b. {/ R and 0,6}
9. a., b. ( + )( + ) ( ) ( + )( ( + ), c. + ) ( )( + ), d. + ( )( + ) e. 6 ( + ) ( + )( + ) 0. a., b., c., d. + + 9 + ( 6 + ). a.,, b.8, c., 0 ( 6 ) 0 R UT. S= T z. X= + z.. mph. 6..6 7. km/h 8. a. ± 6, b.,, c. 9,, d. 8,, e., 9. a. ± 7 + 6, b. ± + 6 0. a.(, ), b.(0,) [, ), c. (,6) ([, ), d, [,]
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. 00 feet.,. /0 or % 6., or, 7. a., b. 7, c., d. f., g., h. 6 7 ab 7 6, e. z z, 8. a., b. +7, c. 0 f. 7 6, g. 9, h. 6, d. 6 6, e., 9. a., b., c., d. + 7 0. 687. a., b. 7, c. no solution.. a. +i, b. 8 + i, c. i, d. 7 i. a. i, b., c. i, d. i. 6. a. f() = +, 8 + b. f() =
7. a. b. c. 8. 0. =0.0006 9. log π X= ( ) 0. a. log 0 ( + ), b. log 6, 8 ( ) c. log, d. log6 +
. a. 0 0 + 0 0, b e. or.8, c. e., f., g, h., i., j ln 8 8ln or.6099 d. ln or.76,..8. 7.7..0. Verte (, ) 6. r = C (, )
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