 ## Full Length TABE Battery Math Practice Test

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 Complete TABE Battery Math Practice Test 4 Part 1 Mathematics Computation (Non-Calculator)   40 questions Total time: 24 Minutes 1- $$1420\ ÷\ 20=$$ (A) $$82$$ (B) $$71$$ (C) $$63$$ (D) $$79$$ 2- $$4,558 \ –\ 1,285=$$ (A) $$3,593$$ (B) $$3,512$$ (C) $$3,273$$ (D) $$2,203$$ 3- $$7.9 \ −\ 3.6 =$$ (A) $$3.8$$ (B) $$6.1$$ (C) $$5.2$$ (D) $$4.3$$ 4- \cfrac{\begin{align}4.4 \\× \ 5.2 \end{align}}{} (A) $$22.88$$ (B) $$12.38$$ (C) $$15.34$$ (D) $$25.90$$ 5- $$390\ +\ 45=$$ (A) $$435$$ (B) $$430$$ (C) $$440$$ (D) $$445$$ 6- $$27.6 \ ÷\ 2.3=$$ (A) $$14$$ (B) $$18$$ (C) $$12$$ (D) $$10$$ 7- $$12.5 \ ÷\ 10 =$$ ____ (A) $$12.5$$ (B) $$10.25$$ (C) $$1.25$$ (D) $$1250$$ 8- \cfrac{\begin{align}882 \\+ \ 35 \end{align}}{} (A) $$981$$ (B) $$883$$ (C) $$917$$ (D) $$797$$ 9- \cfrac{\begin{align}1,452 \\+ \ 468 \end{align}}{} (A) $$1,980$$ (B) $$1,340$$ (C) $$1,398$$ (D) $$1,920$$ 10- $$6 \ ×\ 8 =$$ (A) $$48$$ (B) $$45$$ (C) $$64$$ (D) $$81$$ 11- \cfrac{\begin{align}48.35 \\ + \ 35.16 \end{align}}{} (A) $$83.51$$ (B) $$82.71$$ (C) $$84.21$$ (D) $$67.24$$ 12- \cfrac{\begin{align}2,580 \\- \ 923 \end{align}}{} (A) $$1,677$$ (B) $$1,612$$ (C) $$1,657$$ (D) $$1,177$$ 13- $$3,652 \ ÷\ 4 =$$ (A) $$913$$ (B) $$833$$ (C) $$925$$ (D) $$987$$ 14- $$\frac{2}{3}\ -\ \frac{1}{6}=$$ (A) $$\frac{3}{4}$$ (B) $$\frac{3}{2}$$ (C) $$\frac{1}{2}$$ (D) $$\frac{5}{2}$$ 15- $$\frac{1}{4}\ ÷\ \frac{1}{36}=$$ (A) $$3$$ (B) $$6$$ (C) $$9$$ (D) $$12$$ 16- $$43\ ×\ 5=$$ (A) $$210$$ (B) $$220$$ (C) $$225$$ (D) $$215$$ 17- $$7 \ \frac{3}{5}\ -\ \frac{1}{2}=$$ (A) $$7 \ \frac{1}{10}$$ (B) $$5 \ \frac{3}{10}$$ (C) $$3 \ \frac{1}{5}$$ (D) $$10 \ \frac{1}{7}$$ 18- $$6^7\ ×\ 6^2=$$ (A) $$6^5$$ (B) $$6^{14}$$ (C) $$6^9$$ (D) $$6^7$$ 19- $$12\ x\ y\ +\ 5\ x\ y\ =$$ (A) $$13 \ y$$ (B) $$17 \ x$$ (C) $$17 \ x \ y$$ (D) $$13 \ x \ y$$ 20- $$824 \ ÷\ 4 =$$ ____ (A) $$236$$ (B) $$337$$ (C) $$211$$ (D) $$206$$ 21- $$6\ \frac{2}{5}\ -\ 2\ \frac{3}{10}=$$ (A) $$2\ \frac{3}{10}$$ (B) $$3\ \frac{5}{10}$$ (C) $$4\ \frac{1}{5}$$ (D) $$4\ \frac{1}{10}$$ 22- $$420 \ ÷\ 4 =$$ (A) $$125$$ (B) $$105$$ (C) $$85$$ (D) $$185$$ 23- $$15\ x\ +\ 8\ x=$$ (A) $$20\ x$$ (B) $$15\ x$$ (C) $$10\ x$$ (D) $$23\ x$$ 24- $$30\%$$ of $$70$$ (A) $$12$$ (B) $$28$$ (C) $$25$$ (D) $$21$$ 25- $$\frac{4}{9}\ -\ \frac{2}{9}=$$ (A) $$\frac{1}{9}$$ (B) $$\frac{2}{9}$$ (C) $$\frac{3}{9}$$ (D) $$\frac{11}{9}$$ 26- $$12\ ×\ (−\ 5)=$$ (A) $$-\ 80$$ (B) $$70$$ (C) $$-\ 60$$ (D) $$50$$ 27- $$−\ 9\ +\ 4 \ –\ 2=$$ (A) $$-\ 9$$ (B) $$-\ 11$$ (C) $$-\ 5$$ (D) $$-\ 7$$ 28- $$1 \ \frac{1}{4}\ ×\ 3\ \frac{1}{8}=$$ (A) $$3\ \frac{29}{32}$$ (B) $$2\ \frac{29}{36}$$ (C) $$3\ \frac{30}{32}$$ (D) $$\frac{29}{32}$$ 29- $$\frac{2}{5}\ +\ \frac{1}{3}=$$ (A) $$\frac{4}{5}$$ (B) $$\frac{4}{3}$$ (C) $$\frac{11}{15}$$ (D) $$\frac{3}{15}$$ 30- $$6\ \frac{2}{4}\ +\ 5\ \frac{1}{4}=$$ (A) $$11\ \frac{3}{4}$$ (B) $$1\ \frac{1}{4}$$ (C) $$9\ \frac{3}{4}$$ (D) $$\frac{3}{4}$$ 31- $$\frac{1}{3}\ ×\ \frac{7}{12}=$$ (A) $$\frac{7}{36}$$ (B) $$\frac{5}{12}$$ (C) $$\frac{1}{3}$$ (D) $$\frac{1}{6}$$ 32- $$\sqrt{64}$$ (A) $$8$$ (B) $$9$$ (C) $$6$$ (D) $$12$$ 33- $$16\ x\ = 2, \ x= ?$$ (A) $$\frac{1}{16}$$ (B) $$2$$ (C) $$8$$ (D) $$\frac{1}{8}$$ 34- ___$$\%$$ of $$20= 8$$ (A) $$60\%$$ (B) $$50\%$$ (C) $$40\%$$ (D) $$30\%$$ 35- $$5\%$$ of $$40$$ (A) $$2.5$$ (B) $$4$$ (C) $$5$$ (D) $$2$$ 36- $$25\%$$ of ____ $$= 55$$ (A) $$240$$ (B) $$320$$ (C) $$220$$ (D) $$180$$ 37- $$(5\ +\ 2)^2\ ÷\ 7=$$ (A) $$9$$ (B) $$5$$ (C) $$6$$ (D) $$7$$ 38- $$12 \ –\ (\ –\ 3)$$ (A) $$15$$ (B) $$9$$ (C) $$8$$ (D) $$17$$ 39- $$5\ x\ +\ \frac{1}{2} \ x\ =$$ (A) $$2 \ \frac{3}{10} \ x$$ (B) $$4 \ \frac{5}{2} \ x$$ (C) $$2 \ \frac{1}{5} \ x$$ (D) $$1 \ \frac{1}{10} x$$ 40- $$5 \ \frac{2}{4}\ ÷\ 4\ \frac{6}{12}=$$ (A) $$1 \ \frac{11}{9}$$ (B) $$\frac{13}{7}$$ (C) $$\frac{11}{9}$$ (D) $$3 \ \frac{13}{7}$$ Complete TABE Battery Math Practice Test 4 Part 2 Applied Mathematics (Calculator)   50 questions Total time: 55 Minutes 41- Which of the following is a multiple of $$4$$? (A) $$38$$ (B) $$46$$ (C) $$85$$ (D) $$104$$ 42- A tree $$44$$ feet tall casts a shadow $$16$$ feet long. Jack is $$8$$ feet tall. How long is Jack’s shadow? (A) $$2.40$$ ft (B) $$3.20$$ ft (C) $$4.10$$ ft (D) $$2.90$$ ft 43- What is the value of $$3^5$$ ? (A) $$243$$ (B) $$252$$ (C) $$721$$ (D) $$267$$ 44- Simplify the expression.$$(5\ x^3\ -\ 6\ x^2\ +\ 2\ x^4\ )\ -\ (4\ x^2\ -\ 5\ x^4\ +\ 3\ x^3\ )$$ (A) $$5\ x^4\ +\ 12\ x^3\ -\ 5\ x^2$$ (B) $$7\ x^2\ +\ 2\ x^3\ -\ 10\ x^4$$ (C) $$7\ x^4\ +\ 2\ x^3\ -\ 10\ x^2$$ (D) $$3\ x^4\ +\ 4\ x^3\ -\ 12\ x^2$$ 45- Which of the following fractions is the largest? (A) $$\frac{5}{8}$$ (B) $$\frac{3}{7}$$ (C) $$\frac{8}{9}$$ (D) $$\frac{5}{11}$$ 46- What is the perimeter of a square in centimeters that has an area of $$800.89$$ cm$$^2$$? (A) $$120.1$$ (B) $$250.6$$ (C) $$170.4$$ (D) $$113.2$$ 47- Which of the following graphs represents the compound inequality $$−\ 2 \leq 2\ x\ −\ 4 \lt 8$$? (A) (B) (C) (D) 48- What is the product of all possible values of $$x$$ in the following equation?$$|3\ x\ −\ 9|=18$$ (A) $$-\ 25$$ (B) $$-\ 27$$ (C) $$24$$ (D) $$18$$ 49- $$[3 \ ×\ (–\ 12)\ −\ 44]\ –\ (–\ 12)\ +\ [3\ ×\ 7]\ ÷\ 3=$$? (A) $$109$$ (B) $$- \ 85$$ (C) $$- \ 61$$ (D) $$91$$ 50- The sum of $$8$$ numbers is greater than $$360$$ and less than $$240$$. Which of the following could be the average (arithmetic mean) of the numbers? (A) $$42$$ (B) $$30$$ (C) $$45$$ (D) $$48$$ 51- What is the volume of a box with the following dimensions?Hight $$= 3$$ cm     Width $$= 5$$ cm      Length $$= 8$$ cm (A) $$150$$ m$$^3$$ (B) $$12$$ m$$^3$$ (C) $$180$$ m$$^3$$ (D) $$120$$ m$$^3$$ 52- During a fund-raiser, each of the $$40$$ members of a group sold candy bars. If each member sold an average of five candy bars, how many total bars did the group sell? (A) $$240$$ (B) $$25$$ (C) $$200$$ (D) $$180$$ 53- In two successive years, the population of a town is increased by $$10\%$$ and $$25\%$$. What percent of the population is increased after two years? (A) $$39\%$$ (B) $$35.5\%$$ (C) $$37.5\%$$ (D) $$44\%$$ 54- What is the slope of a line that is perpendicular to the line $$4\ x\ −\ y\ =7$$? (A) $$4$$ (B) $$- \ 4$$ (C) $$-\ \frac{1}{4}$$ (D) $$\frac{1}{4}$$ 55- A swimming pool holds $$5,000$$ cubic feet of water. The swimming pool is $$25$$ feet long and $$10$$ feet wide. How deep is the swimming pool? (A) $$20$$ (B) $$25$$ (C) $$15$$ (D) $$10$$ 56- Which of the following shows the numbers in descending order?$$\frac{1}{3} , \ 0.54 , \ 44\% , \ \frac{4}{5}$$ (A) $$\frac{1}{3} ,44\% , 0.54 , \frac{4}{5}$$ (B) $$\frac{4}{5} ,44\% , 0.54 , \frac{1}{3}$$ (C) $$44\% , \frac{4}{5} , 0.54 , \frac{1}{3}$$ (D) $$0.54 , 44\% , \frac{4}{5} , \frac{1}{3}$$ 57- In a stadium the ratio of home fans to visiting fans in a crowd is $$5:7$$. Which of the following could be the total number of fans in the stadium? (Select one or more answer choices) (A) $$12,324$$ (B) $$16,788$$ (C) $$42,326$$ (D) $$44,566$$ 58- Anita’s trick–or–treat bag contains $$12$$ pieces of chocolate, $$18$$ suckers, $$18$$ pieces of gum, $$24$$ pieces of licorice. If she randomly pulls a piece of candy from her bag, what is the probability of her pulling out a piece of sucker? (A) $$\frac{1}{2}$$ (B) $$\frac{1}{6}$$ (C) $$\frac{1}{4}$$ (D) $$\frac{1}{10}$$ 59- What is the value of the expression $$4\ (\ x\ −\ 3\ y\ )\ +\ (3 \ −\ x\ ) ^2$$ when $$x = 2$$ and $$y = −\ 2$$ ? (A) $$32$$ (B) $$24$$ (C) $$41$$ (D) $$28$$ 60- Last week $$24,000$$ fans attended a football match. This week three times as many bought tickets, but one sixth of them cancelled their tickets. How many are attending this week? (A) $$60,000$$ (B) $$64,000$$ (C) $$46,000$$ (D) $$73,000$$ 61- The perimeter of a rectangular yard is $$90$$ meters. What is its length if its width is three times of its length? (A) $$15$$ meters (B) $$8$$ meters (C) $$21$$ meters (D) $$10$$ meters 62- A card is drawn at random from a standard $$64$$–card deck, what is the probability that the card is of Hearts? (The deck includes $$16$$ of each suit clubs, diamonds, hearts, and spades) (A) $$\frac{1}{3}$$ (B) $$\frac{1}{4}$$ (C) $$\frac{1}{5}$$ (D) $$\frac{1}{6}$$ 63- The ratio of boys and girls in a class is $$3:7$$. If there are $$50$$ students in the class, how many more boys should be enrolled to make the ratio $$1:1$$? (A) $$30$$ (B) $$25$$ (C) $$20$$ (D) $$15$$ 64- What is the area of a square whose diagonal is $$6$$? (A) $$28$$ (B) $$18$$ (C) $$30$$ (D) $$15$$ 65- The square of a number is  $$\frac{36}{81}$$. What is the cube of that number? (A) $$\frac{125}{729}$$ (B) $$\frac{125}{512}$$ (C) $$\frac{81}{512}$$ (D) $$\frac{216}{729}$$ 66- Jason needs an $$75\%$$ average in his writing class to pass. On his first $$4$$ exams, he earned scores of $$68\%, \ 75\%, \ 89\%$$, and $$88\%$$. What is the minimum score Jason can earn on his fifth and final test to pass? (A) $$80$$ (B) $$70$$ (C) $$60$$ (D) $$50$$ 67- What is the median of these numbers? $$5, \ 27, \ 30, \ 19, \ 67, \ 48, \ 35$$ (A) $$25$$ (B) $$30$$ (C) $$35$$ (D) $$40$$ 68- Mr. Jones saves $$3,000$$ out of his monthly family income of $$60,000$$. What fractional part of his income does he save? (A) $$\frac{ 1}{24}$$ (B) $$\frac{ 1}{33}$$ (C) $$\frac{ 1}{18}$$ (D) $$\frac{ 1}{20}$$ 69- A cruise line ship left Port A and traveled $$80$$ miles due west and then $$150$$ miles due north. At this point, what is the shortest distance from the cruise to port A in miles? (A) $$170$$ (B) $$120$$ (C) $$90$$ (D) $$200$$ 70- The mean of $$50$$ test scores was calculated as $$88$$. But, it turned out that one of the scores was misread as $$94$$ but it was $$69$$. What is the correct mean of the test scores? (A) $$84.5$$ (B) $$86$$ (C) $$87.5$$ (D) $$81$$ 71- Mr. Carlos family are choosing a menu for their reception. They have $$3$$ choices of appetizers, $$6$$ choices of entrees, $$5$$ choices of cake. How many different menu combinations are possible for them to choose? (A) $$60$$ (B) $$70$$ (C) $$80$$ (D) $$90$$ 72- Simplify $$5\ x^2\ y^3\ (4 \ x^2\ y\ )^3=$$ (A) $$32\ x^{15}\ y^3$$ (B) $$412\ x^{12}\ y^8$$ (C) $$360\ x^{10}\ y^{12}$$ (D) $$320\ x^{11}\ y^6$$ 73- What is the equivalent temperature of $$122^°$$ F in Celsius?$$C = \frac{4}{12} \ (F \ –\ 32)$$ (A) $$40$$ (B) $$30$$ (C) $$69$$ (D) $$49$$ 74- $$60$$ students took an exam and $$18$$ of them failed. What percent of the students passed the exam? (A) $$30\%$$ (B) $$80\%$$ (C) $$50\%$$ (D) $$70\%$$ 75- If $$50 \%$$ of a number is $$5$$, what is the number? (A) $$8$$ (B) $$10$$ (C) $$12$$ (D) $$16$$ 76- Two dice are thrown simultaneously, what is the probability of getting a sum of $$6$$ or $$9$$? (A) $$\frac{1}{2}$$ (B) $$\frac{1}{12}$$ (C) $$\frac{1}{8}$$ (D) $$\frac{1}{4}$$ 77- The average of $$7$$ numbers is $$21$$. The average of $$4$$ of those numbers is $$12$$. What is the average of the other two numbers. (A) $$33$$ (B) $$21$$ (C) $$10$$ (D) $$38$$ 78- Which of the following points lies on the line $$\ x\ +\ 2\ y\ =4$$? (Select one or more answer choices) (A) $$(−\ 2,3)$$ (B) $$(1,2)$$ (C) $$(−\ 1,3)$$ (D) $$(−\ 3,4)$$ 79- The circle graph below shows all Mr. Green’s expenses for last month. If he spent $$660$$ on his car, how much did he spend for his rent? (A) $$760$$ (B) $$810$$ (C) $$910$$ (D) $$730$$ 80- What is the value of $$x$$ in the following system of equations?$$3\ x\ +\ 5\ y\ =21\\ - \ 9\ x\ −\ 3\ y=−\ 15$$ (A) $$\frac{1}{4}$$ (B) $$4$$ (C) $$3$$ (D) $$\frac{1}{3}$$ 81- If $$120 \%$$ of a number is $$72$$, then what is the $$95 \%$$ of that number? (A) $$57$$ (B) $$66$$ (C) $$68$$ (D) $$55$$ 82- The perimeter of the trapezoid below is $$46$$ cm. What is its area? (A) $$120$$ cm$$^2$$ (B) $$100$$ cm$$^2$$ (C) $$150$$ cm$$^2$$ (D) $$85$$ cm$$^2$$ 83- What is the slope of the line: $$4\ x\ −\ 2\ y\ =8$$ (A) $$3$$ (B) $$2$$ (C) $$4$$ (D) $$5$$ 84- Jason is $$9$$ miles ahead of Joe running at $$5.5$$ miles per hour and Joe is running at the speed of $$7$$ miles per hour. How long does it take Joe to catch Jason? (A) $$6$$ hours (B) $$10$$ hours (C) $$4$$ hours (D) $$8$$ hours 85- A football team had $$30,000$$ to spend on supplies. The team spent $$14,000$$ on new balls. New sport shoes cost $$150$$ each. Which of the following inequalities represent the number of new shoes the team can purchase. (A) $$150\ x\ +\ 14,000 \ ≤\ 30,000$$ (B) $$120\ x\ +\ 12,000 \ ≤\ 30,000$$ (C) $$120\ x\ +\ 12,000 \ ≤\ 32,000$$ (D) $$120\ x\ - \ 16,000 \ ≤\ 30,000$$ 86- A bank is offering $$5.5\%$$ simple interest on a savings account. If you deposit $$13,200$$, how much interest will you earn in two years? (A) $$800$$ (B) $$700$$ (C) $$580$$ (D) $$726$$ 87- The diagonal of a rectangle is $$10$$ inches long and the height of the rectangle is $$6$$ inches. What is the perimeter of the rectangle in inches? (A) $$36$$ (B) $$32$$ (C) $$28$$ (D) $$22$$ 88- What is the value of $$x$$ in the following equation?$$\frac{2}{3} \ x\ +\ \frac{1}{5}=\frac{ 1}{3}$$ (A) $$\frac{1}{5}$$ (B) $$\frac{1}{3}$$ (C) $$\frac{2}{3}$$ (D) $$\frac{1}{7}$$ 89- What is the surface area of the cylinder below? (A) $$55 \ π$$ in$$^2$$ (B) $$44 \ π$$ in$$^2$$ (C) $$66 \ π$$ in$$^2$$ (D) $$77 \ π$$ in$$^2$$ 90- The average of five numbers is $$24$$. If a sixth number that is greater than $$42$$ is added, then, which of the following could be the new average? (A) $$25$$ (B) $$26$$ (C) $$27$$ (D) $$28$$
 1- Choice B is correct The correct answer is $$71$$$$1420\ ÷\ 20= 71$$ 2- Choice C is correct The correct answer is $$3,273$$$$4,558 \ –\ 1,285=3,273$$ 3- Choice D is correct The correct answer is $$4.3$$$$7.9 \ −\ 3.6 = 4.3$$ 4- Choice A is correct The correct answer is $$22.88$$\cfrac{\begin{align}4.4 \\× \ 5.2 \end{align}}{22.88} 5- Choice A is correct The correct answer is $$435$$$$390\ +\ 45=435$$ 6- Choice C is correct The correct answer is $$12$$$$27.6 \ ÷\ 2.3 =12$$ 7- Choice C is correct The correct answer is $$1.25$$$$12.5 \ ÷\ 10 =1.25$$ 8- Choice C is correct The correct answer is $$917$$\cfrac{\begin{align}882 \\+ \ 35 \end{align}}{917} 9- Choice D is correct The correct answer is $$1,920$$\cfrac{\begin{align}1,452 \\+ \ 468 \end{align}}{1,920} 10- Choice A is correct The correct answer is $$48$$$$6 \ ×\ 8 =48$$ 11- Choice A is correct The correct answer is $$83.51$$\cfrac{\begin{align}48.35 \\ + \ 35.16 \end{align}}{83.51} 12- Choice C is correct The correct answer is $$1,657$$\cfrac{\begin{align}2,580 \\- \ 923 \end{align}}{1,657} 13- Choice A is correct The correct answer is $$913$$$$3,652 \ ÷\ 4 =913$$ 14- Choice C is correct The correct answer is $$\frac{1}{2}$$$$\frac{2}{3}\ -\ \frac{1}{6}=\frac{1}{2}$$ 15- Choice C is correct The correct answer is $$9$$$$\frac{1}{4}\ ÷\ \frac{1}{36}=9$$ 16- Choice D is correct The correct answer is $$215$$$$43\ ×\ 5=215$$ 17- Choice A is correct The correct answer is $$7 \ \frac{1}{10}$$$$7\ \frac{3}{5}\ -\ \frac{1}{2} =7\ \frac{1}{10}$$ 18- Choice C is correct The correct answer is $$6^9$$$$6^7\ ×\ 6^2=6^9$$ 19- Choice C is correct The correct answer is $$17 \ x \ y$$$$12\ x\ y\ +\ 5\ x\ y\ =17 \ x \ y$$ 20- Choice D is correct The correct answer is $$206$$$$824 \ ÷\ 4 =206$$ 21- Choice D is correct The correct answer is $$4\ \frac{1}{10}$$$$6\ \frac{2}{5}\ -\ 2\ \frac{3}{10}=6\ +\ \frac{2}{5}\ -\ 2\ -\ \frac{3}{10}=4\ \frac{1}{10}$$ 22- Choice B is correct The correct answer is $$105$$$$420 \ ÷\ 4 =105$$ 23- Choice D is correct The correct answer is $$23\ x$$$$15\ x\ +\ 8\ x=23\ x$$ 24- Choice D is correct The correct answer is $$21$$$$\frac{30}{100 }\ ×\ 70=\frac{2100}{100 }=21$$ 25- Choice B is correct The correct answer is $$\frac{2}{9}$$$$\frac{4}{9}\ -\ \frac{2}{9}=\frac{2}{9}$$ 26- Choice C is correct The correct answer is $$-\ 60$$$$12\ ×\ (−\ 5)=-\ 60$$ 27- Choice D is correct The correct answer is $$-\ 7$$$$−\ 9\ +\ 4 \ –\ 2=-\ 7$$ 28- Choice A is correct The correct answer is $$3\ \frac{29}{32}$$$$1 \ \frac{1}{4}\ ×\ 3\ \frac{1}{8}=\frac{5}{4}\ ×\ \frac{25}{8} = \frac{125}{32}=3\ \frac{29}{32}$$ 29- Choice C is correct The correct answer is $$\frac{11}{15}$$$$\frac{2}{5}\ +\ \frac{1}{3}=\frac{6 \ + \ 5}{15}=\frac{11}{15}$$ 30- Choice A is correct The correct answer is $$11\ \frac{3}{4}$$$$6\ \frac{2}{4}\ +\ 5\ \frac{1}{4}=6\ +\ \frac{2}{4}\ +\ 5\ +\ \frac{1}{4}=11\ \frac{3}{4}$$ 31- Choice A is correct The correct answer is $$\frac{7}{36}$$$$\frac{1}{3}\ ×\ \frac{7}{12}=$$ $$\frac{7}{36}$$ 32- Choice A is correct The correct answer is $$8$$$$\sqrt{64}=8$$ 33- Choice D is correct The correct answer is $$\frac{1}{8}$$$$16\ x\ = 2, \ x= \frac{2}{16}=\frac{1}{8}$$ 34- Choice C is correct The correct answer is $$40\%$$___$$\%$$ of $$20 = 8$$$$\frac{x}{100 }\ ×\ 20=8\\ x=\frac{800}{20 }=40\%$$ 35- Choice D is correct The correct answer is $$2$$$$5\%$$ of $$40$$$$\frac{5}{100} \ ×\ 40=\frac{200}{100}=2$$ 36- Choice C is correct The correct answer is $$220$$$$\frac{25}{100 }\ ×\ x=55\\ x=\frac{5500}{25 }=220$$ 37- Choice D is correct The correct answer is $$7$$$$(5\ +\ 2)^2\ ÷\ 7=7^2\ ÷\ 7=49\ ÷\ 7=7$$ 38- Choice A is correct The correct answer is $$15$$$$12 \ –\ (\ –\ 3)=12 \ + \ 3= 15$$ 39- Choice D is correct The correct answer is $$1 \ \frac{1}{10} \ x$$$$5\ x\ +\ \frac{1}{2} \ x =1 \ \frac{1}{10} \ x$$ 40- Choice C is correct The correct answer is $$\frac{11}{9}$$$$5 \ \frac{2}{4}\ ÷\ 4\ \frac{6}{12}= \frac{11}{2}\ \div \ \frac{27}{6} = \frac{66}{54}= \frac{11}{9}$$ 40- Choice C is correct The correct answer is $$\frac{11}{9}$$$$5 \ \frac{2}{4}\ ÷\ 4\ \frac{6}{12}= \frac{11}{2}\ \div \ \frac{27}{6} = \frac{66}{54}= \frac{11}{9}$$ 41- Choice D is correct The correct answer is $$104$$A.$$\frac{38}{4} = 9.5$$B.$$\frac{46}{4} = 11.5$$D.$$\frac{85}{4} = 21.25$$C.$$\frac{104}{4} = 26$$ 42- Choice D is correct The correct answer is $$2.90$$ ftWrite a proportion and solve for the missing number.$$\frac{44}{16} = \frac{8}{x}→ 44\ x\ =8\ ×\ 16=128$$$$44\ x\ =128→x=\frac{128}{44}=2.90$$ 43- Choice A is correct The correct answer is $$243$$ $$3^5 = 3 \ ×\ 3 \ ×\ 3 \ ×\ 3 \ ×\ 3 = 243$$ 44- Choice C is correct The correct answer is $$7\ x^4\ +\ 2\ x^3\ -\ 10\ x^2$$Simplify and combine like terms. $$(5\ x^3\ -\ 6\ x^2\ +\ 2\ x^4\ )\ -\ (4\ x^2\ -\ 5\ x^4\ +\ 3\ x^3\ ) ⇒$$$$(5\ x^3\ -\ 6\ x^2\ +2\ x^4\ )\ -\ 4\ x^2\ +\ 5\ x^4\ -\ 3\ x^3\ ⇒$$$$7\ x^4\ +\ 2\ x^3\ -\ 10\ x^2$$ 45- Choice C is correct The correct answer is $$\frac{8}{9}$$A.$$\frac{5}{8} = 0.625$$B.$$\frac{3}{7} = 0.43$$D.$$\frac{8}{9} = 0.88$$C.$$\frac{5}{11} = 0.45$$ 46- Choice D is correct The correct answer is $$113.2$$ The area of the square is $$800.89$$.Therefore, the side of the square is square root of the area.$$\sqrt{800.89}=28.3$$Four times the side of the square is the perimeter: $$4 \ ×\ 28.3 =113.2$$ 47- Choice D is correct Solve for $$x$$. $$-\ 2≤2\ x\ -\ 4\ <8 ⇒$$ (add $$4$$ all sides) $$-\ 2\ +\ 4≤2\ x\ -\ 4\ +\ 4<8\ +\ 4 ⇒$$ $$2≤2\ x\ <12 ⇒$$ (divide all sides by $$2$$) $$1≤\ x\ <6$$$$x$$ is between $$1$$ and $$6$$. Choice D represent this inequality. 48- Choice B is correct The correct answer is $$-\ 27$$ To solve absolute values equations, write two equations. $$3\ x\ -\ 9$$ can equal positive $$18$$, or negative $$18$$. Therefore, $$3\ x\ -\ 9= 18 ⇒ 3\ x=27⇒ x=9$$$$3\ x\ -\ 9= -\ 18 ⇒ 3\ x=-\ 18\ +\ 9=-\ 9⇒ x=-\ 3$$Find the product of solutions: $$-\ 3\ ×\ 9=-\ 27$$ 49- Choice C is correct The correct answer is $$-\ 61$$Use PEMDAS (order of operation):$$[3\ ×\ (–\ 12)\ -\ 44]\ –\ (–\ 12)\ +\ [3\ ×\ 7]\ ÷\ 3=[-\ 36\ -\ 44]\ +\ 12\ +\ 21\ ÷\ 3=-\ 80\ +\ 12\ +\ 7=-\ 61$$ 50- Choice A is correct The correct answer is $$42$$$$\frac{240}{8 }< \ x\ < \frac{360}{8}, 30 < \ x\ < 45$$, From the choices provided, only $$42$$ is correct. 51- Choice D is correct The correct answer is $$120$$ m$$^3$$Volume of a box $$=$$ length $$×$$ width $$×$$ height $$= 3 \ ×\ 5 \ ×\ 8 = 120$$ 52- Choice C is correct The correct answer is $$200$$$$40 \ ×\ 5 = 200$$ 53- Choice C is correct The correct answer is $$37.5\%$$ The population is increased by $$10\%$$ and $$25\%$$.$$15\%$$ increase changes the population to $$110\%$$ of original population.For the second increase, multiply the result by $$125\%$$.$$(1.10) \ ×\ (1.25) = 1.375 = 137.5\%$$$$37.5$$ percent of the population is increased after two years. 54- Choice C is correct The correct answer is $$-\ \frac{1}{4}$$ The equation of a line in slope intercept form is: $$y=m\ x\ +\ b$$Solve for $$y$$.$$4\ x\ -\ y=7→-\ y=-\ 4\ +\ 7$$Divide both sides by $$(-\ 1)$$. Then: $$-\ y=-\ 4\ x\ +\ 7→y=4\ x\ -\ 7$$The slope of this line is $$4$$.The product of the slopes of two perpendicular lines is $$- \ 1$$. Therefore, the slope of a line that is perpendicular to this line is: $$m_1 \ ×\ m_2 = -\ 1 ⇒ 4 \ ×\ m_2 = -\ 1 ⇒ m_2 =- \frac{ 1}{4}=-\ \frac{1}{4}$$ 55- Choice A is correct The correct answer is $$20$$Use formula of rectangle prism volume.V $$=$$ (length) (width) (height) $$⇒ 5000 = (25)\ (10)$$ (height) $$⇒$$ height $$=5000 \ ÷\ 250 = 20$$ 56- Choice A is correct The correct answer is $$\frac{1}{3} ,44\% , 0.54 , \frac{4}{5}$$Change the numbers to decimal and then compare.$$\frac{1}{3} = 0.333…$$$$0.54$$ $$44\% = 0.44$$$$\frac{4}{5} = 0.80$$Therefore$$\frac{1}{3} \ < \ 44\% \ < \ 0.54 \ < \ \frac{4}{5}$$ 57- Choice A is correct The correct answer is $$12,324$$In the stadium the ratio of home fans to visiting fans in a crowd is $$5:7$$.Therefore, total number of fans must be divisible by $$12: 5 \ +\ 7 = 12$$.Let’s review the choices:A. $$12,324:\ 12,324\ ÷\ 12=1,027$$B. $$42,326:\ 42,326\ ÷\ 12=3,527.166$$C. $$44,566:\ 44,566\ ÷\ 12=3,713.833$$D. $$66,812:\ 66,812\ ÷\ 12=5,567.666$$Only choice A when divided by $$12$$ results a whole number. 58- Choice C is correct The correct answer is $$\frac{1}{4}$$Probability$$=\frac{number \ of\ desired\ \ outcomes}{number \ of\ \ total \ outcomes} = \frac{18}{12\ +\ 18\ +\ 18\ +\ 24} =\frac{18}{72} = \frac{1}{4}$$ 59- Choice B is correct The correct answer is $$24$$ Plug in the value of $$x$$ and $$y$$.$$4\ (\ x\ −\ 3\ y\ )\ +\ (3 \ −\ x\ ) ^2$$ when $$x = 2$$ and $$y = −\ 2$$  $$x=2$$ and $$y=-\ 2$$$$4\ (x\ -\ 3\ y)\ +\ (3\ -\ x)^2=4\ (2\ -\ 2(-\ 2))\ +\ (2\ -\ 2)^2=4\ (2\ +\ 4)\ +\ (0)^2 = 24 \ +\ 0=24$$ 60- Choice A is correct The correct answer is $$60,000$$ Three times of $$24,000$$ is $$72,000$$. One sixth of them cancelled their tickets.One sixth of $$72,000$$ equals $$12,000\ (\frac{1}{6} \ ×\ 72000 = 12000)$$. $$60,000 \ (72000 \ –\ 12000 = 60000)$$ fans are attending this week 61- Choice D is correct The correct answer is $$10$$ metersThe width of the rectangle is twice its length. Let $$x$$ be the length. Then, width $$=3\ x$$Perimeter of the rectangle is $$2$$ (width $$+$$ length) $$= 3\ (2\ x\ +\ x)=90 ⇒ 9\ x=90 ⇒ x=10$$Length of the rectangle is $$10$$ meters. 62- Choice B is correct The correct answer is $$\frac{1}{4}$$The probability of choosing a Hearts is $$\frac{16}{64}=\frac{1}{4}$$ 63- Choice C is correct The correct answer is $$20$$ The ratio of boy to girls is $$3:7$$. Therefore, there are $$3$$ boys out of $$10$$ students. To find the answer, first divide the total number of students by $$10$$, then multiply the result by $$3$$. $$50 \div 10=5 \Rightarrow 5\times3=15$$There are $$15$$ boys and $$35\ (50\ –\ 15)$$ girls.So, $$20$$ more boys should be enrolled to make the ratio $$1:1$$ 64- Choice B is correct The correct answer is $$18$$The diagonal of the square is $$8$$.Let $$x$$ be the side. Use Pythagorean Theorem: $$a^2\ +\ b^2=c^2$$$$x^2\ +\ x^2=6^2⇒ 2\ x^2\ = 6^2 ⇒ 2\ x^2= 36 ⇒x^2 = 18 ⇒x= \sqrt{18}$$The area of the square is: $$\sqrt{18}\ ×\ \sqrt{18}=18$$ 65- Choice D is correct The correct answer is $$\frac{216}{729}$$The square of a number is $$\frac{36}{81}$$, then the number is the square root of $$\frac{36}{81}$$$$\sqrt{\frac{36}{81}}= \frac{6}{9}$$ The cube of the number is: $$(\frac{6}{9})^3 = \frac{216}{729}$$ 66- Choice A is correct The correct answer is $$80$$Jason needs an $$80\%$$ average to pass for five exams.Therefore, the sum of $$5$$ exams must be at lease $$5 \ ×\ 80 = 400$$The sum of $$4$$ exams is: $$68\ +\ 75\ +\ 89\ +\ 88=320$$The minimum score Jason can earn on his fifth and final test to pass is: $$400\ –\ 320=80$$ 67- Choice B is correct The correct answer is $$30$$Write the numbers in order: $$5\ , \ 19\ , \ 27\ , \ 30\ ,\ 35\ ,\ 48\ , \ 67$$Median is the number in the middle. So, the median is $$30$$. 68- Choice D is correct The correct answer is $$\frac{ 1}{20}$$$$3,000$$ out of $$60,000$$ equals to $$\frac{3000}{60000} = \frac{3}{60} =\frac{ 1}{20}$$ 69- Choice A is correct The correct answer is $$170$$Use the information provided in the question to draw the shape.Use Pythagorean Theorem: $$a^2 \ +\ b^2 = c^2$$$$80^2 \ +\ 150^2 = c^2 ⇒ 6400 \ +\ 22500 = c^2 ⇒ 28900 = c^2 ⇒ c = 170$$ 70- Choice C is correct The correct answer is $$87.5$$The difference of $$94$$ and $$69$$ is $$25$$. Therefore, $$25$$ should be subtracted from the sum.$$4400 \ –\ 25 = 4375$$, mean $$= \frac{sum \ of\ terms }{number \ of\ terms} ⇒$$ mean $$= \frac{4375 }{50} = 87.5$$ 71- Choice D is correct The correct answer is $$90$$To find the number of possible outfit combinations, multiply number of options for each factor: $$3 \ ×\ 6\ ×\ 5 = 90$$ 72- Choice D is correct The correct answer is $$320\ x^{11}\ y^6$$ Simplify. $$5\ x^2\ \ y^3\ (4 \ x^3\ y\ )^3= 5\ x^2\ y^3\ (64\ x^9\ y^3\ ) = 320\ x^{11}\ y^6$$ 73- Choice A is correct The correct answer is $$40$$ Plug in $$124$$ for $$F$$ and then solve for $$C$$.$$C=\frac{4}{12}\ (F \ –\ 32) ⇒ C=\frac{4}{12}\ (122 \ –\ 32) ⇒ C=\frac{4}{12}\ (90)=30$$ 74- Choice D is correct The correct answer is $$70\%$$ The failing rate is $$18$$ out of $$60 = \frac{18}{60}$$Change the fraction to percent:$$\frac{18}{60} \ ×\ 100\%=30\%$$$$30$$ percent of students failed. Therefore, $$70$$ percent of students passed the exam. 75- Choice B is correct The correct answer is $$10$$ Let $$x$$ be the number.Write the equation and solve for $$x$$. $$50\%$$ of $$x=5⇒ 0.50 \ x\ =5 ⇒ x=5 \ ÷\ 0.50=10$$ 76- Choice D is correct The correct answer is $$\frac{1}{4}$$To get a sum of $$6$$ for two dice, we can get $$5$$ different options:$$(5, 1), (4, 2), (3, 3), (2, 4), (1, 5)$$To get a sum of $$9$$ for two dice, we can get $$4$$ different options:$$(6, 3), (5, 4), (4, 5), (3, 6)$$Therefore, there are $$9$$ options to get the sum of $$6$$ or $$9$$. Since, we have $$6 \ ×\ 6 = 36$$ total options, the probability of getting a sum of $$6$$ and $$9$$ is $$9$$ out of $$36$$ or $$\frac{1}{4}$$. 77- Choice A is correct The correct answer is $$33$$average $$= \frac{\ sum\ \ of\ \ terms}{\ number\ \ of\ \ terms} ⇒$$ (average of $$7$$ numbers) $$21 = \frac{\ sum\ \ of\ \ numbers}{7} ⇒$$sum of $$7$$ numbers is $$21 \ ×\ 7 = 147$$(average of $$4$$ numbers) $$12 = \frac{\ sum\ \ of\ \ numbers }{4} ⇒$$sum of $$4$$ numbers is $$12 \ ×\ 4 = 48$$sum of $$7$$ numbers $$–$$ sum of $$4$$ numbers $$=$$ sum of $$3$$ numbers $$147 \ – \ 48 = 99$$average of $$3$$ numbers $$=\frac {99 }{3}=33$$ 78- Choice A is correct The correct answer is $$(-\ 2,3)$$ $$x\ +\ 2\ y\ =4$$. Plug in the values of x and y from choices provided. Then:1.$$(−\ 2,3)$$        $$x\ +\ 2\ y=4→−2\ +\ 2\ (3)=4→−2\ +\ 6=4$$         This is true!2.$$(1,2)$$            $$x\ +\ 2\ y=4→1\ +\ 2\ (2)=4→1\ +\ 4=4$$               This is NOT true!3.$$(−\ 1,3)$$        $$x\ +\ 2\ y=4→−1\ +\ 2\ (3)=4→−1\ +\ 6=4$$         This is NOT true!4.$$(−\ 3,4)$$        $$x\ +\ 2\ y =4→−3 \ +\ 2\ (4)=4→−3\ +\ 8=4$$         This is NOT true! 79- Choice B is correct The correct answer is $$810$$ Let $$x$$ be all expenses, then $$\frac{22}{100}\ x\ =660 →x=\frac{100\ ×\ 660}{22}=3,000$$He spent for his rent: $$\frac{27}{100}\ ×\ 3,000=810$$ 80- Choice D is correct The correct answer is $$\frac{1}{3}$$Solving Systems of Equations by EliminationMultiply the first equation by $$(3)$$, then add it to the second equation.\cfrac{\begin{align} 3 \ (3\ x\ +\ 5\ y=21)\\ - \ 9 \ x\ -\ 3\ y=-\ 15 \end{align}} {\begin{align} 9 \ x\ +\ 15\ y= 63\\ - \ 9\ x\ -\ 3\ y=-\ 15 \end{align}} \\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12\ y\ = 48 \ \ \ \Rightarrow y= 4Plug in the value of $$x$$ into one of the equations and solve for $$x$$.$$3\ x\ +\ 5\ (4)= 21 \Rightarrow 3\ x\ +\ 20= 21 \Rightarrow 3\ x\ = 1 \Rightarrow x =\frac{1}{3}$$ 81- Choice A is correct The correct answer is $$57$$First, find the number. Let $$x$$ be the number. Write the equation and solve for $$x$$. $$120 \%$$ of a number is $$72$$, then: $$1.2\ ×\ x=72⇒ x=72 \ ÷\ 1.2=60$$$$95 \%$$ of $$60$$ is: $$0.95 \ × \ 60 =57$$ 82- Choice C is correct The correct answer is $$150$$ cm$$^2$$The perimeter of the trapezoid is $$36$$ cm.Therefore, the missing side (height) is $$= 64\ –\ 24 \ –\ 12\ –\ 18=10$$Area of a trapezoid: A$$= \frac{ 1}{2}\ h\ (b_1\ +\ b_2)= \frac{ 1}{2}\ (10)\ (12\ +\ 18)=150$$ 83- Choice B is correct The correct answer is $$2$$Solve for $$y$$.$$4\ x\ -\ 2\ y\ =8 ⇒ -\ 2\ y\ =8\ -\ 4\ x ⇒ y=2\ x\ -\ 4$$The slope of the line is $$2$$. 84- Choice A is correct The correct answer is $$6$$ hoursThe distance between Jason and Joe is $$9$$ miles. Jason running at $$5.5$$ miles per hour and Joe is running at the speed of $$7$$ miles per hour.Therefore, every hour the distance is $$1.5$$ miles less. $$9\ ÷\ 1.5=6$$ 85- Choice A is correct The correct answer is $$150\ x\ +\ 14,000 \ ≤\ 30,000$$Let $$x$$ be the number of new shoes the team can purchase.Therefore, the team can purchase $$150 \ x$$.The team had $$30,000$$ and spent $$14,000$$.Now the team can spend on new shoes $$16,000$$ at most. Now, write the inequality:$$150\ x\ +\ 14,000 \ ≤\ 30,000$$ 86- Choice D is correct The correct answer is $$726$$ Use simple interest formula: $$I=prt$$($$I =$$ interest, $$p =$$ principal,$$r =$$ rate,$$t =$$ time)$$I=(13200)\ (0.055)\ (2)=726$$ 87- Choice C is correct The correct answer is $$28$$Let $$x$$ be the width of the rectangle. Use Pythagorean Theorem: $$a^2 \ +\ b^2 = c^2$$$$x ^2 \ +\ 6^2 = 10^2 ⇒ x ^2 \ +\ 36 = 100 ⇒ x ^2 = 100 \ –\ 36 = 64 ⇒ x = 8$$Perimeter of the rectangle $$= 2$$ (length $$+$$ width) $$= 2\ (8 \ +\ 6) = 2\ (14) = 28$$ 88- Choice A is correct The correct answer is $$\frac{1}{5}$$Isolate and solve for $$x$$.$$\frac{2}{3} \ x\ +\ \frac{1}{5}= \frac{1}{3} ⇒\frac{2}{3}\ x=\frac{1}{3} \ -\ \frac{1}{5} =\frac{2}{15} ⇒\frac{2}{3} \ x\ = \frac{2}{15}$$ Multiply both sides by the reciprocal of the coefficient of $$x$$.$$(\frac{3}{2})\ \frac{2}{3} \ x\ =\frac{2}{15} \ (\frac{3}{2}) ⇒ x= \frac{6}{30} =\frac{1}{5}$$ 89- Choice C is correct The correct answer is $$66 \ π$$ in$$^2$$Surface Area of a cylinder $$= 2π\ r\ (r \ +\ h)$$,The radius of the cylinder is $$3\ (6 \ ÷\ 2)$$ inches and its height is $$8$$ inches. Therefore, Surface Area of a cylinder $$= 2π\ (3)\ (3 \ +\ 8) = 66 \ π$$ 90- Choice D is correct The correct answer is $$28$$First, find the sum of five numbers. average $$= \frac{\ sum\ \ of\ \ terms}{\ number\ \ of\ \ terms} ⇒ 24 = \frac{\ sum\ \ of\ 5\ \ numbers}{5} ⇒$$ sum of $$5$$ numbers $$= 24 \ ×\ 5 = 120$$The sum of $$5$$ numbers is $$120$$. If a sixth number that is greater than $$42$$ is added to these numbers, then the sum of $$6$$ numbers must be greater than $$162$$. $$120 \ +\ 42 = 162$$If the number was $$42$$, then the average of the numbers is: average $$=\frac {\ sum \ \ of\ \ terms }{\ number\ \ of\ \ terms}=\frac{162}{6}=27$$ Since the number is bigger than $$42$$. Then, the average of six numbers must be greater than $$27$$. Choice D is greater than $$27$$.

### Practice Test 1

Simulate test day with an official practice test. Then, score your test. The answers come with explanations so you can learn from your mistakes.

### Practice Test 2

Simulate test day with an official practice test. Then, score your test. The answers come with explanations so you can learn from your mistakes.

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