PERT MATH PRACTICE TEST

Transcription

1 PERT MATH PRACTICE TEST with answer ke scoring guide and solution guide

2 Below is a full-length, 0-question, PERT math practice test to help ou with preparing for the math section of the Florida PERT Placement Test. Circle the correct answer choice for each question. Upon completion of this practice test, check the answer ke and PERT scoring guide provide The scoring guide will help ou determine our possile score on the math section of the actual PERT placement test. There is also a solution guide provided on pages 6 8. DO NOT USE A CALCULATOR WHILE WORKING ON THIS PRACTICE TEST. CALCULATORS CANNOT BE USED ON THE MATH SECTION OF THE ACTUAL PERT PLACEMENT TEST. 0 PERT MATH PRACTICE QUESTIONS. Evaluate: if and. 6. Solve for : 9. Simplif: Solve for : Find all solutions of Solve the formula, for. 9 8

3 . Solve the equation: Set up the equation that can e used to solve the following: Eight less than the square of a numer is the same as adding the numer and four. Use to represent the unknown numer The perimeter of a rectangular swimming pool is 0 meters. The width of the pool is meters less than its length; find the width of this swimming pool. 0 meters 9 meters 6 meters meters 0. Jose ooks for the semester cost $.00. How much ta will he pa if the ta rate is %? $6. $8.00 $0.0 $0.. Simplif: Write the numer,0,000 using scientific notation Divide: 9. Sutract:

4 . Multipl: m n m n 6. Multipl: n n n n n n n 6n 9 6n n 9 6n 9 8n 6. Find the product for k 6k 9k 8. Factor completel: 6 k k 9k k 9k k k k k 9k 9k 9. Factor completel: Factor completel:. What is one factor of the trinomial 8?. What is one solution of a 0a 0? 8 a 0 a a a

5 . Solve the equation: 0 0. Simplif: 6 or 6 or 6 or 6 or. Simplif: 8 a 6. Multipl: 6 6 a a a a a a. Solve the sstem of two equations for : Find the -intercept for the graph:,, 0 0,, 9. Find the slope, m, of the line passing through the points, and 0, 0. Find the standard form of the equation of a line that passes through the points, and,. m m 8 m m

6 ANSWER KEY FOR PERT MATH PRACTICE TEST Question Answer a c d a d c c d c a c a c a a d c d a a d d The scoring guide elow gives a good indication of our possile score on the actual PERT Math Test. Find the total correct in the # correct line, then see elow to find our possile PERT Math score and suggestion. SCORING GUIDE FOR PERT MATH PRACTICE TEST PASSING (CREDIT MATH) SCORE RANGE: - 0 Low-Range Mid-Range High-Range # correct Possile PERT Math Score Suggestion Your score is in the range that suggests ou need additional preparation efore attempting the actual PERT Math test. Please take advantage of the solution guide provided elow and an other resource(s) that will help ou with our preparation for the test. Your score is in the orderline range; ou ma need more preparation efore taking the actual PERT Math test. Please take advantage of the solution guide provided elow and an other resource(s) that will help ou with our preparation for the test. Your score is in the high range; ou ma not need additional preparation efore attempting the actual PERT Math test. Please review the ones, if an, ou got incorrect and make note of our mistakes.

7 PERT Math Practice Test - Solution Guide Below is a solution guide with detailed, step--step eplanations of answers to our PERT Math practice test.. To evaluate, replace with - and with and use the order of operations, G E MD AS to simplif. Sustitute Do eponents Multipl net Add/sutract Choice, remove ( ), collect like terms, and use the properties of equalit to solve.. To solve Distriute: Collect like terms: 6 Move 6 to opposite side: 6 Divide: Choice. To simplif the epression 6, work inside [ ] to simplif epression, then distriute and continue to collect like terms. Distriute inside [ ] 6 6 Comine like terms 6 Distriute - inside [ ] Comine like terms 8 Choice 8. To solve , clear decimals multipling 00, then continue to use the properties of equalit to solve To solve the inequalit 6, use the properties of inequalities,,,, to solve. Move and : 6 Simplif right side: 6 Divide: 6 Note: when dividing a negative numer in an inequalit, ou must rememer to reverse our inequalit smol. 6. To solve the formula (literal equation), for, use the properties of equalit to isolate. Choice.. To solve the proportion, use cross multiplication and solve the resulting equation Choice 0 Choice 8. To translate eight less than the square of a numer is the same as adding the numer and four, change the following phrases into math epressions. eight less than the square of a numer translates to: 8 is the same as translates to: = adding the numer and four translates to: Now, putting these epressions together gives: 8 Choice 8 Choice 9. To solve this word situation, sketch a diagram, set up an equation, solve the equation and answer the question. Diagram: ( ) Set up equation: 0 Solve the equation: Use 9 to replace in the epression ( ) to get (9 ) = 6 meters. Choice 6 meters 6

8 0. To find the amount of ta to e paid on $.00 at a % rate, multipl $ %. Find So the ta is $0... To simplif 8 6, use the rules of eponents and and Putting these together we get: 8 8 which rewrites to when using positive eponents.. To write,0,000 using scientific notation, use the scientific notation form, n M 0 where M is a numer less than or equal to and n is an integer. Placing the decimal point etween. then count to the right, the numer of places,, to get to the original decimal position. Scientific notation:. 0 Note: the eponent is positive ecause we moved to the right, a positive direction. Choice $0. Choice 8 Choice. 0. To divide 9, separate the epression and divide each term as follows: 9. To sutract these polnomials, use the distriutive propert to remove ( ), then comine like terms. Insert s in front of ( ) to help with the distriution To multipl m n m n distriutive propert. m, use the m n nm n mn 0mn n n n 6 Choice Choice 6 Choice n n 6. To multipl n, use the special product technique of squaring a inomial to get a Perfect Square Trinomial (PsT), a a. Thus n = n n = 6n n 9. To find the product for k 6k 9 k, use the distriutive propert to multipl. k 6kk 9k k k 6k 6k k 9k 8k 9k 8. To factor 6 completel, first factor out the GCF, then factor using the difference of squares (DoS) metho Factor out GCF: Factor DoS: Rewrite final answer: Choice 6n n 9 Choice k 9k Choice 9. To factor completel: 9 6, use the Perfect Square Trinomial (PsT) metho Check: 9 Hence 9 6 is a perfect square trinomial (PsT), so we can factor as follows: Choice 0. To factor, use the grouping method of factoring. Group in pairs: GCF factor each pair: GCF with : Choice. To find one factor of the trinomial 8, find the master product, 8, then find the two factors whose product is and sum : - 6 and. Rewrite original trinomial using the two factors 6 and to split up the middle term. 6 8 Use grouping to finish factoring. 6 8 Choice

9 . To solve a 0a 0, factor the left side of the equation, use the Zero Factor Propert (ZFP) to set each factor = 0 and solve for oth values of Zero Factor Propert (ZFP) means: If a 0, then a 0 or 0. Factor: a a 0 Use ZFP: a 0 or a 0. To solve the equation 0 0, use the three step process outlined elow: Factor: 6 0 Use ZFP: 0 or 6 0 Solve for : or 6. To simplif, use the 6 process outlined elow. Factor numerator: Factor denominator: Cancel common factor ( - ) to get: Solve for a: a 0 a 0 or a 0 a Zero Factor Propert (ZFP) means: If a 0, then a 0 or 0. = Thus one solution is a Choice a Choice 6 or Choice. To simplif 8 a, rewrite 8 a 8 as 9a 6, then take the square root of 9 Then rewrite Choice a 8 6 a to get a. 8 a as a 6. To multipl 6 6, use the special product method to multipl and otain the difference of squares Choice 0. To solve the sstem for, use the elimination metho 8 0 Add the two equations to eliminate the variale and solve for. 8 6 Now replace with 6 in the first equation, 8, and solve for Choice 8. To find the -intercept for the graph, replace with 0 and solve for. Replace: 0 Solve for : Choice, To find the slope, m, of a line, use the formula m with the points, and 0, Slope: Choice m 0 m 0 0. To find the equation of the line passing through, and,, find the slope, m, and use the point-slope m, to get the formula, equation of the line. Find slope: m Use m with the slope and one point to get: Clear fraction Distriute Move and -9 9 Add numers 9 Choice