West Campus State Math Competency Test Info and Practice


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1 West Campus State Math Competenc Test Info and Practice Question Page Skill A Simplif using order of operations (No grouping/no eponents) A Simplif using order of operations (With grouping and eponents) A Absolute value with addition and subtraction A Simplif algebraic epression using distributive propert A Evaluate an algebraic epression A Solve a linear equation A0 Solve a linear equation with fraction coefficient(s) A Solve a literal equation A Translate a word problem to an algebraic equation 0 A Solve a word problem A Translate word problems to a proportion A Simplif eponential epression (positive integer eponents) A Simplif eponential epression (also negative integer eponents) A Simplif eponential epression (also zero eponents) A Scientific notation (Change To or Change From) A (Polnomial) (Polnomial) A (Monomial) (Binomial) A0 (Binomial) (Binomial) A Factor a polnomial  Greatest Common Factor(s) 0 A Factor a polnomial Difference of Squares A Factor a polnomial B Grouping A Factor a trinomial Identif a factor A Simplif a rational epression Reduce b factoring A Solve a quadratic equation b factoring (a = ) A Solve a quadratic equation b factoring (a ) A Simplif square root of a monomial A0 Simplif square roots in a polnomial using distributive propert A Solve a linear inequalit A Identif intercepts of a linear equation (a + b = c) 0 A Match linear equation to its graph (a + b = c) or ( = m + b) Answers A Answers to all the practice problems above. Practice # A0 Sample test with question from each of the 0 topics above. Practice # A Sample test with question from each of the 0 topics above. Answers A Answers to Practice Test # and Practice Test #. Test taking tips: Before beginning the test, write down an information that ou feel might cause ou to make an error on the test. (Data Dump) Then during the test ou can refer back to this information as a reminder. Work all the problems. Guess if necessar. Do all rechecking on a clean sheet of scratch paper.
2 State Math Competenc Test Information: To pass this course, ou MUST pass the State Test AND our class. Questions: Time limit: Calculator: Formulas: 0 multiplechoice 0 minutes Ma NOT be used Will NOT be provided Test will be taken during the last two () weeks of the term. If ou fail the eam on our first tr, ou ma be given a second opportunit if ou are passing the class with C average or better. Failure to pass the State Comp. Test will result in earning a maimum grade of a D for the class, and ou will be required to retake the class. The following practice problems are the tpe of questions ou will see on the state test.
3 Question # Order of Operations (no grouping or eponents) 0. Simplif: ( )( ) ( ) ( ) +. Simplif: Simplif: + + Question # Order of Operations (with grouping and/or eponents). Simplif: + ( ). Simplif: + +. Simplif: +. Simplif: + 0. Simplif: + ( ) 0. Simplif: ( ) ( ) ( )( )( ) 0. Simplif: ( )( ) Simplif: ( ). Simplif: ( ). Simplif: ( + ). Simplif: ( ) 0. Simplif: ( + )( ) Simplif: ( + ) + ( ) 0 0. Simplif: ( ) ( ) ( ) + ( ) 0 0 Valencia Communit College All Rights Reserved A
4 . Simplif: ( ) ( ) ( ). Simplif: ( ) ( )( ) + 0. Simplif: + ( ) Question # Absolute Value. Simplif: Simplif: Simplif: 0. Simplif: +. Simplif: + ( ). Simplif: + ( ). Simplif: + ( )( ). Simplif: Simplif: ( ) ( ) 0 0. Simplif: ( )( ) ( )( ) 0 Question # Simplif algebraic epression using distributive propert. Simplif: ( ) Simplif: ( ) + ( + ) 0 0. Simplif: ( ) +. Simplif: ( ) ( ) Simplif: ( ) Valencia Communit College All Rights Reserved A
5 . Simplif: ( ) ( ) Simplif: + ( ) Simplif: ( ) Simplif: ( ) ( ) Simplif: ( ) Question # Evaluate an epression. Evaluate the given epression when = and = :. Evaluate the given epression when =  and = :. Evaluate the given epression when =  and = : ( + ). Evaluate the given epression when =  and = : ( ) +. Evaluate the given epression when =  and = : ( )( ). Evaluate the given epression when = , = , and z = : z z 0. Evaluate the given epression when =, = , and z = : ( ) z z Evaluate the given epression when = , = , and z = : ( ) ( z) + ( + z) Valencia Communit College All Rights Reserved A
6 . Evaluate the given epression when = , =, and z = : z ( z ) 0. Evaluate the given epression when = , =, and z = : ( ) z z Question # Solve a linear equation using integers. Solve: = ( + ) = =. Solve: ( ) = = = = = + = = 0. Solve: ( + ) = ( ) = = = =. Solve: ( ) ( ) = = 0 0 = = + =. Solve: + ( + ) = ( ) = = = =. Solve: ( + ) = ( ) Valencia Communit College All Rights Reserved A = = 0 =. Solve: ( ) = = = + = 0 = =. Solve: ( ) ( ) = =. Solve: + = 0 = = 0 ( ) ( ) = + = 0 = 0. Solve: = = ( ) ( ) + + = + = 0 = = =
7 Question # Solve a linear equation using fractions = = = =. Solve: + =. Solve: + =. Solve: = = = = = 0 = = = Solve:. Solve:. Solve: = + = = 0 = = = = = = = + = 0 =. Solve:. Solve:. Solve: 0. Solve: Valencia Communit College All Rights Reserved A = = = = = = = + = = 0 = = = = = = = = = 0 = = = = = =
8 . Solve: + = = = =. Solve: =. Solve: + = = = = = = = = = Question # Solve a literal equation = 0. Solve for : + = = + = = + = +. Solve for : = = = = + = = + = + + = =. Solve for : + = = = = =. Solve for : = = + = = = +. Solve for : + = = + = + = + = +. Solve for : + = = + = + = + = +. Solve for : = = = + = + =. Solve for : + = 0 = = = + =. Solve for : + = Valencia Communit College All Rights Reserved A
9 0. Solve for : = = = + = + = + Question # Translate a word problem into an algebraic equation. If times a number is increased b, the result is less than the square of the number. Choose the equation that could be used to find this number,. ( + ) = + = 0 = + =. If we double the sum of and some number,, the result will be equal to the square of the number. Choose the equation that could be used to find this number,. + = ( + ) = ( + ) = + =. If the sum of consecutive natural numbers is equal to. Choose the equation that could be used to find the first number,. + ( + ) + ( + ) = + + = + ( + ) + ( + ) = =. The sum of a number and is more than twice the number. Choose the equation that could be used to find this number,. + = ( + ) + = + = + + = +. The sum of consecutive odd integers is equal to. Choose the equation that could be used to find the first number,. + ( + ) + ( + ) = + + = + + = + ( + ) + ( + ) =. The opposite of the quotient of and some number, is equal to less than the number,. Choose the equation that could be used to find this number,. ( ) = = ( ) = ( ) =. If two times a number is decreased b, the result is more than the number. Choose the equation that could be used to find this number,. Valencia Communit College All Rights Reserved A
10 = + ( ) = + + = = +. If we triple the sum of and some number,, the result will be equal to the square of the number. Choose the equation that could be used to find this number,.. The square of the difference between negative and some number, is equal to more the number,. Choose the equation that could be used to find this number,. ( ) = + ( ) = + ( ) = + ( ) = +. less than the difference of negative and some number is equal to the opposite of the sum of the number and. Choose the equation that could be used to find this number,. = + ( ) = ( + ) ( ) = ( + ) ( ) = ( + ) 0. Twice the sum of a number and is the same as the difference of and the number. Find the equation that could be used to find the number,. + = ( + ) = ( + ) = + = + = ( + ) = ( + ) = + =. less than is equal to twice the difference of and. Choose the equation that could be used to find this number,. = = ( ) = = ( ) Question #0 Solve a word problem. The perimeter of a rectangle is feet. Find the width of the rectangle if the length is feet more than twice the width. feet feet feet feet. The perimeter of a triangle is inches. The short side is inches less than the medium length side. The long side is inches longer that the medium length side. Find the length of the medium length side. inches inches inches inches Valencia Communit College All Rights Reserved A
11 . Two cars leave Orlando heading towards Atlant The first car is going at 0 mph and the second car is going 0 mph. The first car leaves at AM and the second car leaves at AM. How long will it take for the second car to pass the first car? hours hours hours hours. A store is having a % off sale on musical instruments. A customer was able to purchase a flute for $. What was the original price of the flute? $0 $0.0 $.0 $. Find the amount of mone now necessar to be invested at % simple interest to ield $0.0 interest in ears? $. $. $.00 $.. Two cars leave the same point at the same time traveling in opposite directions. One car travels west at 0 miles per hour and the other travels east at 0 miles per hour. In how man hours will the be 0 miles apart? 0 / hours hours / hours hours $00 $00 $00 $00. If a pair of shoes originall marked $0 is discounted 0%, what is the cost of the shoes after the discount? $0 $ $0 $. The area of a triangle is square inches. If the height is half the length of the base, what is the measurement of the base of the triangle? 0 inches inches. inches inches 0. The total price of a new television, including a % deliver charge, is $. What is the price of the television ecluding the deliver charge? $0. $ $00 $. Two cars leave the same point going in the same direction at the same time. The first car leaves and traveling at 0 mph while the second car goes at 0 mph. How long before the cars are 0 miles apart? hour hours hours hours. A $0,000 car has a 0% discount. You are planning on putting $00 sticker on it. How much will ou into our saving account at the bank. have to pa for the car after the The bank is giving ou an interest discount? rate of %. What would the total $,000 $,000 amount be in our account after $,00 $,. ears? Valencia Communit College All Rights Reserved A
12 . Your bill for dinner is $.0. If ou are going to leave an % tip, how much should ou add (rounded to the nearest penn) to the price of dinner? $. $.0 $. $.0. The width of a rectangle is inches less than the length. If the perimeter of the rectangle is inches, what is the width? square inches inches inches inches. Your bank is giving ou.% interest on our savings account. If ou leave our mone in there for ears, the will give ou $ in interest. How much would ou have to put in the bank to get this amount of interest? $00 $.0 $00 $. Two weeks ago I paid $.0 for a gallon of gas. Toda when I went to fill up m gas tank, the cost of a gallon of gas was $.0. What was the percentage of increase in the cost of gasoline?.0%.%.0%.%. A car dealer has a sticker on a car that sas the original price was $,00 and the price toda is $,00. What was the percentage of decrease in the cost of the car? 0%.% 0% % Question # Translate a word problem into an algebraic epression. Identif the proportion listed below that solves this problem. A car can travel miles on gallons of gasoline. How far can the car travel on gallons? = = = =. Identif the proportion listed below that solves this problem. If monkes can eat 0 bananas each da, how man monkes will it take to eat 0 bananas each da? 0 0 = = = = 0 0. Identif the proportion listed below that solves this problem. It will take people to pick watermelons in a da. How man people will it take to pick 00 watermelons in a da? = = 00 = 00 = Valencia Communit College All Rights Reserved A0
13 . Identif the proportion listed below that solves this problem. If pounds of jell beans cost cents, how man pounds of jell beans can be purchased for cents? = = = =. Identif the proportion listed below that solves this problem. It takes painters a week to paint homes. How man homes could 0 painters paint in a week? = 0 = 0 = 0 0 =. Identif the proportion listed below that solves this problem. It takes workers to pack 0 tomato boes in a da. How man workers will it take to pack 00 boes in a da? 0 = = 0 = = 0 = = = =. Identif the proportion listed below that solves this problem. A farmer produces bushels of so beans on a acre farm. How man bushels could be produced on a acre farm? = = = =. Identif the proportion listed below that solves this problem. The scale on a road map uses inches to represent 0 miles. If two cities are inches apart on the map, how man miles apart are the two cities? 0 = = 0 = 0 = 0. Identif the proportion listed below that solves this problem. Your car can go miles on gallons of gas. How far can ou go on just gallons of gas? Valencia Communit College All Rights Reserved A
14 0. Identif the proportion listed below that solves this problem. You can write a 000 word essa in hours. At this rate how man word essa could ou write in 0 hours? 0 = = 0 = = 0 Question #A Eponents: Multipling and dividing with positive eponents. Simplif: 0 0. Simplif: Simplif:. Simplif:. Simplif:. Simplif:. Simplif: 0. Simplif:. Simplif:. Simplif:. Simplif: 0. Simplif:. Simplif: ( ). Simplif: ( ). Simplif:. Simplif: Valencia Communit College All Rights Reserved A
15 . Simplif: 0. Simplif:. Simplif: 0 0. Simplif: 0 00 ( ) ( ) Question #B Eponents: Powers on powers with positive eponents. Simplif: ( ). Simplif: ( ) 0. Simplif: ( ). Simplif: ( ). Simplif: ( ) 0 0. Simplif: ( ) 0. Simplif: ( ). Simplif: ( ). Simplif: ( ) 0 0. Simplif: ( ). Simplif: ( ). Simplif:. Simplif:. Simplif:. Simplif: Valencia Communit College All Rights Reserved A
16 . Simplif: 0. Simplif:. Simplif: 0 0. Simplif: Simplif: 0. Simplif: 0 0 Question #A Eponents: Multipling and dividing with negative eponents. Simplif:. Simplif:. Simplif:. Simplif: 0 0. Simplif: Valencia Communit College All Rights Reserved A 0. Simplif:. Simplif:. Simplif:. Simplif: 0 0. Simplif: Simplif:
17 . Simplif:. Simplif:. Simplif: 0. Simplif:. Simplif:. Simplif:. Simplif:. Simplif: Simplif: 0 0 Question #B Eponents: Powers on powers with negative eponents. Simplif: ( ). Simplif: ( ). Simplif: ( ). Simplif: ( ) 0. Simplif: ( ) Simplif: ( ). Simplif: ( ) 0 0 Valencia Communit College All Rights Reserved A
18 . Simplif: ( ). Simplif: ( ) 0 0. Simplif:. Simplif:. Simplif:. Simplif: 0 0. Simplif:. Simplif: 0. Simplif:. Simplif: 0. Simplif:. Simplif: Question # Eponents: Positive, negative, and zero. Simplif:. Simplif: Valencia Communit College All Rights Reserved A
19 0 0. Simplif: 0. Simplif:. Simplif: Simplif:. Simplif: ( ) 0 0 ( 0 ) Simplif: ( ) Question # Eponents: Multipling and dividing with negative eponents,000,00, Convert to Standard form:. 0,000, Convert to Standard form:. 0 0,000, ,00,000, Convert to Standard form:. 0,000,000,0, Convert to Standard form: ,000 0,000. Convert to Standard form:. 0,0, ,0,000,000. Convert to Scientific Notation:,00, Convert to Standard form:. 0 Valencia Communit College All Rights Reserved A
20 . Convert to Scientific Notation:, Convert to Scientific Notation:,00, Convert to Scientific Notation: Convert to Scientific Notation: Convert to Scientific Notation: Question # Subtracting polnomials. Simplif: ( ) ( ) Simplif: (+ ) (+ ) +. Simplif: (+ ) ( ) Simplif: ( ) ( ) +. Simplif: ( ) ( ) Simplif: ( + ) ( + ) Simplif: ( ) ( + ) 0. Simplif: ( + ) ( ) Simplif: ( ) ( + ) Simplif: ( ) ( + ) + +. Simplif: (+ ) + ( + ) ( + + ) Simplif: ( + ) ( + ) + ( ) + + Valencia Communit College All Rights Reserved A
21 . Simplif: ( + ) + ( ) ( + + ) Simplif: (+ ) ( ) + ( + ) Simplif: ( ) ( ) ( + ) Question # Multipling polnomials: Monomial Binomial. Multipl and simplif where possible: + ( ) Multipl and simplif where possible: + ( ). Multipl and simplif where possible: + ( ) Multipl and simplif where possible: ( + ) Multipl and simplif where possible: ( + ) Multipl and simplif where possible: + ( ) Multipl and simplif where possible: ( + z)( ) z + z + z + z. Multipl and simplif where possible: ( ) + +. Multipl and simplif where possible: ( + ) 0. Multipl and simplif where possible: ( )( ) Valencia Communit College All Rights Reserved A
22 Question # Multipling polnomials: Binomial Binomial. Multipl and simplif where possible: (+ )(+ ) Multipl and simplif where possible: (+ ) ( + ) Multipl and simplif where possible: ( ) ( ) Multipl and simplif where possible: ( )(+ ) Multipl and simplif where possible: (+ )( ). Multipl and simplif where possible: ( )( ) Multipl and simplif where possible: ( )( + ) Multipl and simplif where possible: ( + ) Multipl and simplif where possible: ( ) Multipl and simplif where possible: ( ) Multipl and simplif where possible: + +. Multipl and simplif where possible: + + Valencia Communit College All Rights Reserved A0
23 . Multipl and simplif where possible: Multipl and simplif where possible: ( )( + ). Multipl and simplif where possible: ( ) + +. Multipl and simplif where possible: ( + )(+ ) Multipl and simplif where possible: ( + )( + ) Multipl and simplif where possible: ( )( ) Multipl and simplif where possible: ( )( + ) 0. Multipl and simplif where possible: ( + ) Multipl and simplif where possible: ( )( ) Question # Factoring out the GCF of a polnomial. Factor completel: + (+ ) ( + ) ( + ) (+ ). Factor completel: + ( + ) ( + ) (+ ) ( + ) +. Factor completel: ( + ) ( + ) ( + ) (+ ) 0 0. Factor completel: 0 0 ( ) 0 ( ) 0 ( ) ( ). Factor completel: + ( + ) (+ ) ( + ) ( + ) Valencia Communit College All Rights Reserved A
24 . Factor completel: + ( ) + ( + ). Factor completel: 0 + ( + ) ( ) + ( + ). Factor completel: ( ) ( ). Factor completel: 0 ( ) 0 ( ) ( ) ( ) 0. Factor completel: ( ) ( ) ( ) ( ) + (+ ) ( + ) ( ) ( ). Factor completel: ( ) + + ( ) ( + ) (+ ) (+ ) +. Factor completel: ( + ) (+ ) (+ ) ( ) Question #0 Factoring a polnomial Difference of squares. Factor completel: ( )( ) ( )( + ) ( ) ( )( + ). Factor completel: ( ) ( )( + ) ( ) (+ ) ( )(+ ). Factor completel: (+ )( ) (+ ) ( ) ( ) ( )(+ ) 0 0. Factor completel: (+ ) ( ) 0( + )( ) 0( ) ( ) (+ ). Factor completel: ( ). Factor completel: + + ( + ) Valencia Communit College All Rights Reserved A
25 . Factor completel: k k ( ) k k + k k + k + k. Factor completel: 00m p ( 0m+ p)( 0m p) (m p)(m+ p) (m+ p)(m p) (0m p) Question # Factoring a polnomial B grouping. Factor completel: am + a + m + ( a+ )( m+ ) ( am + )( ma + ) ( a+ )( m+ ) ( a+ )( m+ ). Factor completel: + ( )( + ) (+ )( ) ( )( + ) ( )( ). Factor completel: pz p 0z + (p+ ) (z ) (p ) (z ) (p ) (z ) (p ) (z+ ). Factor completel: w m + mw ( m)( w ) ( m )( w) ( w)( m) ( m)( w). Factor completel: gp + gb ap ab (g a)(p+ b) (g+ a)(p b) (g b)(p+ a) (g a)(p b). Factor completel: 0 + (+ )( ) ( )( + ) (+ ) ( ) ( ) ( + ). Factor completel: z m+ mz ( m)( z) ( z)( z+ m) ( + m)( z ) ( m)( z). Factor completel: am + ag mr gr ( a+ r)( m g) ( a r)( m+ g) ( r a)( m+ g) ( a+ g)( m r). Factor completel: 0 f f + g g ( ) ( f + g) ( )(f + g) ( f g)( + ) (g f) ( ) 0. Factor completel: z + z ( )( z) ( )( z ) ( + )( z) ( )( z) Valencia Communit College All Rights Reserved A
26 . Factor completel: mr + m 0r (m+ ) (r ) (m ) (r+ ) ( m) (r+ ) (m r) ( ) Question # Factoring a trinomial Identifing a factor. Identif a factor of this trinomial: + + ( ) ( + ) ( + ) ( + ). Identif a factor of this trinomial: + ( ) ( ) ( ) ( + ). Identif a factor of this trinomial: + 0 ( + ) ( + ) ( ) ( 0). Identif a factor of this trinomial: + ( ) ( + ) ( ) ( + ). Identif a factor of this trinomial: 0 ( ) ( + ) ( + ) ( ). Identif a factor of this trinomial: + ( ) ( ) ( ) ( ). Identif a factor of this trinomial: ( ) ( ) ( ) ( ). Identif a factor of this trinomial: 0v + vz 0z (v+ z) (v z) (0v z) (v+ 0 z) 0. Identif a factor of this trinomial: m m+ (m ) (m ) (m + ) ( m ). Identif a factor of this trinomial: p p (p ) (p ) (p + ) (p + ). Identif a factor of this trinomial: + 0 ( + ) ( ) ( ) ( + ) Valencia Communit College All Rights Reserved A
27 Question # Simplif a rational epression b factoring + +. Simplif: Simplif: Simplif: Simplif: Simplif: + +. Simplif: Simplif: Simplif: Question # Solving a quadratic equation b factoring (a = ). Solve: = 0 =, =, =, =,. Solve: + 0 = 0 =, 0 =,0 =, 0 =,0. Solve: + 0 = 0 =, =, =, =,. Solve: 0= 0 =, =, =, =, Valencia Communit College All Rights Reserved A
28 + = 0. Solve: =, =, =, =,. Solve: + + = 0 =, =, =, =, 0+ = 0. Solve: =, =, =, =,. Solve: =,0 =, 0 =, 0 =,0 + 0= 0 = 0. Solve: =, =, =, =, 0. Solve: =, =, =, =, + = 0 0 = 0. Solve: = 0, = 0. = 0, = 0, Question # Solving a quadratic equation b factoring (a > ). Solve: = 0 =, =, =, =, + = 0. Solve: =, =, =,. Solve: =, + 0 = 0 =,. Solve: =, =, + = 0 =,. Solve: =, =, 0 + = 0 =,. Solve: =, =, + + = 0 =,. Solve: =, =, =, =, =, =, =, 0 = 0 =, =, =, = 0. Solve: =, =, =, =, Valencia Communit College All Rights Reserved A
29 + = 0. Solve: =, =, =, =, Question # Simplif square root of a monomial. Simplif completel:. Simplif completel:.. Simplif completel: 0 0. Simplif completel:. Simplif completel:. Simplif completel: Simplif completel: 0. Simplif completel:. Simplif completel: 0 0. Simplif completel: Question # Simplif a square root using distributive propert. Simplif completel: ( + ) Simplif completel: ( + ) + +. Simplif completel: ( + ) +. Simplif completel: ( + ) Valencia Communit College All Rights Reserved A
30 Simplif completel: ( + ) + +. Simplif completel: ( ). Simplif completel: ( ) Question # Solving a linear inequalit. Solve: + < < >. Solve: <. Solve: > > > < <. Solve: + < + < > > < <. Simplif completel: ( + ) Simplif completel: ( ) 0. Simplif completel: 0 0 ( + ) +. Solve:. Solve: ( ) +. Solve: ( ) > < < > >. Solve: ( ) < ( + ) > < > < Valencia Communit College All Rights Reserved A
31 . Solve: + > Solve: > < > < ( ) ( ) Question #. Find the intercept for: = (, 0) ( 0,) (,0) ( 0, ). Find the intercept for: = ( 0, ) ( 0, ) ( 0,) (, 0 ). Find the intercept for: = (,0),0. Find the intercept for: = ( 0, ) ( 0, ),0 (,0 ) 0, 0,. Find the intercept for: = (,0) (,0) ( 0, ) ( 0, ). Find the intercept for: = (,0) ( 0, ) ( 0,) ( 0, ). Find the intercept for: + = ( 0,) ( 0, ) (, 0) (, 0). Find the intercept for: + = 0, 0, 0, 0,. Find the intercept for: = (,0) (,0) ( 0, ) ( 0, ) 0. Find the intercept for: = + 0, 0, 0, 0, Question #0 Matching a linear equation with its graph Valencia Communit College All Rights Reserved A
32 . Find the graph that best matches the given linear equation: =. Find the graph that best matches the given linear equation: = Valencia Communit College All Rights Reserved A0
33 . Find the graph that best matches the given linear equation: = +. Find the graph that best matches the given linear equation: = + Valencia Communit College All Rights Reserved A
34 . Find the graph that best matches the given linear equation: =. Find the graph that best matches the given linear equation: = + Valencia Communit College All Rights Reserved A
35 . Find the graph that best matches the given linear equation: =. Find the graph that best matches the given linear equation: = + Valencia Communit College All Rights Reserved A
36 . Find the graph that best matches the given linear equation: = 0. Find the graph that best matches the given linear equation: = Valencia Communit College All Rights Reserved A
37 State Comp. Test Answer Ke Q Q Q Q Q Q Q Q Q Q0 Q. b. d. a. c. a. c. a. d. b. a. d. a. b. b. b. c. b. b. a. b. c. c. c. b. c. b. c. c. c. c. c. d. a. a. d. b. d. d. d. d. d. d. a. c. d. a. a. c. d. a. c. a. d. c. b. b. c. c. a. b. c. b. a. a. c. c. b. c. d. c. c. c. c. c. a. c. d. d. d. d. d. a. a. a. c. b. d. b. c. a. a. c. a. a. a. a. b. a. c 0. a 0. c 0. b 0. b 0. b 0. b 0. b 0. b 0. c 0.c 0. a. a. b. c. d. d. b. d. a. d. c. b. a
38 QA QB QA QB Q Q Q Q Q Q Q0. a. b. c. a. a. a. d. c. a. a. d. b. c. c. b. b. b. b. c. b. c. c. b. d. c. d. d. a. c. c. b. d. a. c. a. d. d. b. d. a. d. d. b. b. a. a. d. b. c. a. b. a. a. c. c. d. c. b. c. d. b. b. b. c. a. a. c. b. c. d. a. a. c. c. c. c. d. d. b. d. a. b. b. d. c. d. d. a. a. c. a. b. d. a. b. a. a 0. a 0. a 0. b 0. a 0. d 0. b 0. b 0. a 0. d. c. b. a. c. a. a. b. a. c. a. b. d. a. d. c. b. a. b. b. b. b. a. d. c. b. d. c. a. b. d. a. b. b. b. b. a. b. d. c. c. d. c. b. a. d. c. d. a. c. a. d. d. b. d 0. b 0. b 0. b 0. d. b. a Q Q Q Q Q Q Q Q Q Q0. a. b. a. a. d. a. a. a. a. a. b. b. b. d. b. a. c. b. a. b. c. c. b. b. d. c. c. b. b. c. d. d. b. c. d. c. a. c. b. c. a. b. a. a. a. b. a. b. a. a. a. c. b. a. b. b. b. b. c. b. d. d. c. a. a. c. a. c. d. c. b. b. a. b. c. d. d. d. a. c. a. b. d. b. c. d. d. b. b 0. d 0. a 0. a 0. b 0. b 0. d 0. d 0. d. b. c. c
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