## Full Length STAAR Grade 6 Practice Test

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## STAAR MathPractice Test 1

State of Texas Assessments of Academic Readiness     Grade 6 Mathematics 2019
1- Which expression is equivalent to $$5 \ (12 \ x \ - \ 16)$$?
(A) $$− \ 20$$
(B) $$− \ 20 \ x$$
(C) $$60 \ x \ - \ 16$$
(D) $$60 \ x \ - \ 80$$
2- Which ordered pair describes point A that is shown below?
(A) $$(− \ 1,2)$$
(B) $$(2,− \ 1)$$
(C) $$(1, − \ 2)$$
(D) $$(− \ 2,1)$$
3- To produce a special concrete, for every $$13$$ kg of cement, $$3$$ liters of water is required. Which of the following ratios is the same as the ratio of cement to liters of water?
(A) $$91: 21$$
(B) $$14: 4$$
(C) $$39: 6$$
(D) $$9: 39$$
4- Find the opposite of the numbers $$15, \ 0$$.
(A) $$\frac{1}{15}, \ 0$$
(B) $$- \ 15, \ 1$$
(C) $$- \ 15, \ 0$$
(D) $$- \ \frac{1}{15}, \ 0$$
5- What is the value of $$x$$ in the following equation:
$$- \ 60=115 \ - \ x$$
(A) $$175$$
(B) $$- \ 175$$
(C) $$55$$
(D) $$- \ 55$$
6- Which of the following graphs represents the following inequality?
$$- \ 8 \ ≤ \ 5 \ x \ - \ 8 \ ≤ \ 2$$
(A)
(B)
(C)
(D)
7- The ratio of boys to girls in a school is $$4:5$$.
If there are $$765$$ students in the school, how many boys are in the school?
(A) $$612$$
(B) $$510$$
(C) $$425$$
(D) $$340$$
8- Martin earns $$20$$ an hour. Which of the following inequalities represents the amount of time Martin needs to work per day to earn at least $$100$$ per day?
(A) $$20 \ t \ ≥ \ 100$$
(B) $$20 \ t \ ≤ \ 100$$
(C) $$20 \ + \ t \ ≥ \ 100$$
(D) $$20 \ + \ t \ ≤ \ 100$$
9- $$(55 \ + \ 5) \ ÷ \ 12$$ is equivalent to …
(A) $$60 \ ÷ \ 3.4$$
(B) $$\frac{55}{12} \ + \ 5$$
(C) $$(2 \ × \ 2 \ × \ 3 \ × \ 5) \ ÷ \ (3 \ × \ 4)$$
(D) $$(2 \ × \ 2 \ × \ 3 \ × \ 5) \ ÷ \ 3 \ + \ 4$$
10- What is the value of the expression $$6 \ (2 \ x \ - \ 3 \ y) \ + \ (3 \ - \ 2 \ x)^2$$, when $$x=2$$ and $$y=- \ 1$$ ?
(A) $$− \ 23$$
(B) $$41$$
(C) $$43$$
(D) $$49$$
11- Round $$\frac{215}{7}$$ to the nearest tenth.
(A) $$31$$
(B) $$30.8$$
(C) $$30.7$$
(D) $$30$$
12- A chemical solution contains $$6\%$$ alcohol. If there is $$45$$ ml of alcohol, what is the volume of the solution?
(A) $$270$$ ml
(B) $$420$$ ml
(C) $$750$$ ml
(D) $$1,200$$ ml
13- What is the equation of a line that passes through points $$(0, \ 4)$$ and $$(2, \ 8)$$?
(A) $$y = x$$
(B) $$y = x \ + \ 4$$
(C) $$y = 2 \ x \ + \ 4$$
(D) $$y = 2 \ x \ - \ 4$$
14- What is the volume of a box with the following dimensions?
Height $$= 6$$ cm     Width $$= 7$$ cm     Length $$= 9$$ cm
(A) $$63$$ cm$$^3$$
(B) $$126$$ cm$$^3$$
(C) $$189$$ cm$$^3$$
(D) $$378$$ cm$$^3$$
15- Anita’s trick–or–treat bag contains $$14$$ pieces of chocolate, $$15$$ suckers, $$16$$ pieces of gum, $$20$$ 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) $$\frac{1}{13}$$
(B) $$\frac{3}{13}$$
(C) $$\frac{14}{65}$$
(D) $$\frac{16}{65}$$
16- In the following rectangle, which statement is false?
(A) AD is parallel to BC
(B) The measure of the sum of all the angles equals $$360^°$$.
(C) Length of AB equal to length DC.
(D) AB is perpendicular to AC.
17- The area of a rectangular yard is $$90$$ square meters. What is its width if its length is $$15$$ meters?
(A) $$10$$ meters
(B) $$8$$ meters
(C) $$6$$ meters
(D) $$4$$ meters
18- Which statement about $$4$$ multiplied by $$\frac{3}{5}$$ must be true?
(A) The product is between $$1$$ and $$2$$
(B) The product is greater than $$3$$
(C) The product is equal to $$\frac{75}{31}$$
(D) The product is between $$2$$ and $$2.5$$
19- Which of the following lists shows the fractions in order from least to greatest?
$$\frac{3}{4}, \ \frac{2}{7}, \ \frac{3}{8}, \ \frac{5}{11}$$
(A) $$\frac{3}{8}, \ \frac{2}{7}, \ \frac{3}{4}, \ \frac{5}{11}$$
(B) $$\frac{2}{7}, \ \frac{5}{11}, \ \frac{3}{8}, \ \frac{3}{4}$$
(C) $$\frac{2}{7}, \ \frac{3}{8}, \ \frac{5}{11}, \ \frac{3}{4}$$
(D) $$\frac{3}{8}, \ \frac{2}{7}, \ \frac{5}{11}, \ \frac{3}{4}$$
20- A car costing $$300$$ is discounted $$10\%$$. Which of the following expressions can be used to find the selling price of the car?
(A) $$(300) \ (0.4)$$
(B) $$300 \ − \ (300 \ × \ 0.1)$$
(C) $$(300) \ (0.1)$$
(D) $$300 \ − \ (300 \ × \ 0.9)$$
21- What is the missing price factor of number $$420$$?
$$420=2^2 \ × \ 3^1 \ ×$$…
Write your answer in the box below.
(A) 7
(B) 7
(C) 7.0
22- If the area of the following trapezoid is equal to A, which equation represent $$x$$?
(A) $$x = \frac{13}{A}$$
(B) $$x = \frac{A}{13}$$
(C) $$x = A \ + \ 13$$
(D) $$x = A \ - \ 13$$
23- By what factor did the number below change from first to fourth number?
$$8, \ 104, \ 1352, \ 17576$$
(A) $$13$$
(B) $$96$$
(C) $$1456$$
(D) $$17568$$
24- $$170$$ is equal to …
(A) $$− \ 20 \ − \ (3 \ × \ 10) \ + \ (6 \ × \ 40)$$
(B) $$(\frac{15}{8} \times 72) \ + \ (\frac{125}{5})$$
(C) $$((\frac{30}{4} \ + \ \frac{15}{2}) \times 8) \ - \frac{11}{2} \ + \ \frac{222}{4}$$
(D) $$\frac{481}{6} \ + \ \frac{121}{3} \ + \ 50$$
25- The distance between two cities is $$3,768$$ feet. What is the distance of the two cities in yards?
(A) $$1,256$$ yd.
(B) $$11,304$$ yd.
(C) $$45,216$$ yd.
(D) $$3,768$$ yd.
26- Mr. Jones saves $$3,400$$ out of his monthly family income of $$74,800$$. What fractional part of his income does Mr. Jones save?
(A) $$\frac{1}{22}$$
(B) $$\frac{1}{11}$$
(C) $$\frac{3}{25}$$
(D) $$\frac{2}{15}$$
27- What is the lowest common multiple of $$12$$ and $$20$$?
(A) $$60$$
(B) $$40$$
(C) $$20$$
(D) $$12$$
28- Based on the table below, which expression represents any value of $$f$$ in term of its corresponding value of $$x$$?
$$x \ \ \ 3.1 \ \ 4.2 \ \ \ \ 5.9$$
$$f \ \ \ 8.6 \ \ 10.8 \ \ 14.2$$
(A) $$f = 2 \ x \ - \ \frac{3}{10}$$
(B) $$f = x \ + \ \frac{3}{10}$$
(C) $$f = 2 \ x \ + \ 2 \ \frac{2}{5}$$
(D) $$f = 2 \ x \ + \ \frac{3}{10}$$
29- $$96$$ kg … ?
(A) $$96$$ mg
(B) $$9,600$$ mg
(C) $$960,000$$ mg
(D) $$96,000,000$$ mg
30- Calculate the approximate area of the following circle? (the diameter is $$25$$)
(A) $$78$$
(B) $$491$$
(C) $$157$$
(D) $$1963$$
31- The following graph shows the mark of six students in mathematics. What is the mean (average) of the marks?
(A) $$13$$
(B) $$13.5$$
(C) $$14$$
(D) $$15$$
32- Which of the following statements is correct, according to the graph below?
(A) The number of books sold in the April was twice the number of books sold in the July.
(B) The number of books sold in the July was less than half the number of books sold in the May.
(C) The number of books sold in the June was more than half the number of books sold in the April.
(D) The number of books sold in the July was equal to the number of books sold in April plus the number of books sold in the June
33- What is the ratio between α and $$β \ ( \frac{α}{β})$$ in the following shape?
(A) $$\frac{5}{14}$$
(B) $$\frac{5}{13}$$
(C) $$\frac{13}{5}$$
(D) $$\frac{14}{5}$$
34- When point A $$(- \ 5, \ 4)$$ is reflected over the $$y-$$axis to get the point B, what are the coordinates of point B?
(A) $$(− \ 5, \ − \ 4)$$
(B) $$(5, \ − \ 4)$$
(C) $$(5, \ 4)$$
(D) $$(− \ 5, \ 4)$$
35- In a certain bookshelf of a library, there are $$25$$ biology books, $$110$$ history books, and $$65$$ language books. What is the ratio of the number of biology books to the total number of books in this bookshelf?
(A) $$\frac{1}{4}$$
(B) $$\frac{1}{8}$$
(C) $$\frac{2}{7}$$
(D) $$\frac{3}{8}$$
36- Which of the following is the correct statement?
(A) $$\frac{3}{4} \ < \ 0.7$$
(B) $$25\% = \frac{1}{2}$$
(C) $$6 \ < \ \frac{12}{2}$$
(D) $$\frac{4}{5} \ > \ 0.7$$
37- Daniel is $$66$$ years old, twice as old as Henry. How old is Henry?
(A) $$23$$ years’ old
(B) $$25$$ years’ old
(C) $$30$$ years’ old
(D) $$33$$ years’ old
38- An integer is chosen at random from $$1$$ to $$30$$. Find the probability of not selecting a composite number?
(A) $$\frac{13}{30}$$
(B) $$\frac{6}{15}$$
(C) $$\frac{11}{30}$$
(D) $$\frac{1}{3}$$
39- Which of the following statements can be used for the following inequality?
$$\frac{x}{8} \ ≤ \ 16$$
(A) Sara placed $$x$$ pens among $$16$$ friends and each friend received fewer than $$8$$ pens.
(B) Sara placed $$8$$ pens among $$x$$ friends and each friend received at most $$16$$ pens.
(C) Sara placed $$x$$ pens among $$8$$ friends and each friend received fewer than $$16$$ pens.
(D) Sara placed $$x$$ pens among $$8$$ friends and each friend received at most $$16$$ pens.
40- If the area of the following rectangular ABCD is $$140$$, and E is the midpoint of AB, what is the area of the shaded part?
(A) $$100$$
(B) $$70$$
(C) $$50$$
(D) $$35$$
 1- Choice D is correct The correct answer is $$60 \ x \ - \ 80$$$$5 \ ( 12 \ x \ - \ 16)=(5 \ × \ 12 \ x) \ - \ (5 \ × \ 16)=(5 \ × \ 12) \ x \ - \ (5 \ × \ 16)=60 \ x \ - \ 80$$ 2- Choice A is correct The correct answer is $$(- \ 1,2)$$The coordinate plane has two axes.The vertical line is called the $$y-$$axis and the horizontal is called the $$x-$$axis.The points on the coordinate plane are address using the form $$(x,y)$$.The point A is one unit on the left side of $$x-$$axis, therefore its $$x$$ value is $$- \ 1$$ and it is two units up, therefore its $$y-$$axis is $$2$$.The coordinate of the point is: $$(- \ 1,2)$$ 3- Choice A is correct The correct answer is $$91 : 21$$$$91 : 21 = 13 : 3$$$$13 \ × \ 7=91$$ And $$3 \ × \ 7=21$$ 4- Choice C is correct The correct answer is $$- \ 15, \ 0$$Opposite number of any number $$x$$ is a number that if added to $$x$$, the result is $$0$$. Then:$$15 \ + \ (- \ 15)=0$$ and $$0 \ + \ 0=0$$ 5- Choice A is correct The correct answer is $$175$$$$- \ 60=115 \ - \ x$$First, subtract $$115$$ from both sides of the equation. Then: $$- \ 60 \ - \ 115=115 \ - \ 115 \ - \ x→- \ 175=- \ x$$Multiply both sides by $$(- \ 1)$$:$$→x=175$$ 6- Choice B is correct $$- \ 8 \ ≤ \ 5 \ x \ - \ 8 \ < \ 2 →$$(add $$8$$ all sides)$$- \ 8 \ + \ 8 \ ≤ \ 5 \ x \ - \ 8 \ + \ 8 \ < \ 2 \ + \ 8 →$$$$0 \ ≤ \ 5 \ x \ < \ 10→$$(divide all sides by $$5$$) $$0 \ ≤ \ x \ < \ 2$$ 7- Choice D is correct The correct answer is $$340$$The ratio of boy to girls is $$4:5$$.Therefore, there are $$4$$ boys out of $$9$$ students.To find the answer, first divide the total number of students by $$9$$, then multiply the result by $$4$$. $$765 \ ÷ \ 9 = 85 ⇒$$$$85 \ × \ 4 = 340$$ 8- Choice A is correct The correct answer is $$20 \ t \ ≥ \ 100$$For one hour he earns $$20$$, then for t hours he earns $$20 \ t$$.If he wants to earn at least $$100$$, therefor, the number of working hours multiplied by $$20$$ must be equal to $$100$$ or more than $$100$$.$$20 \ t \ ≥ \ 100$$ 9- Choice C is correct The correct answer is $$(2 \ × \ 2 \ × \ 3 \ × \ 5) \ ÷ \ (3 \ × \ 4)$$$$(55 \ + \ 5) \ ÷ \ (12)=(60) \ ÷ \ (12)$$The prime factorization of $$60$$ is: $$2 \ × \ 2 \ × \ 3 \ × \ 5$$ The prime factorization of $$12$$ is: $$3 \ × \ 4$$ Therefore:$$(60) \ ÷ \ (12)=(2 \ × \ 2 \ × \ 3 \ × \ 5) \ ÷ \ (3 \ × \ 4)$$ 10- Choice C is correct The correct answer is $$43$$Plug in the value of $$x$$ and $$y$$ and use order of operations rule.$$x=2$$ and $$y=- \ 1$$$$6 \ (2 \ x \ - \ 3 \ y) \ + \ (3 \ - \ 2 \ x)^2=$$$$6 \ (2 \ (2) \ - \ 3 \ (- \ 1)) \ + \ (3 \ - \ 2 \ (2))^2=$$$$6 \ (4 \ + \ 3) \ + \ (- \ 1)^2 =$$$$42 \ + \ 1=43$$ 11- Choice C is correct The correct answer is $$30.7$$$$\frac{215}{7} \cong 30.71 \cong 30.7$$ 12- Choice C is correct The correct answer is $$750$$ ml$$6\%$$ of the volume of the solution is alcohol.Let $$x$$ be the volume of the solution. Then:$$6\%$$ of $$x = 45$$ ml $$⇒ 0.06 \ x = 45 ⇒ x = 45 \ ÷ \ 0.06 = 750$$ 13- Choice C is correct The correct answer is $$y=2 \ x \ + \ 4$$The slope of the line is:$$\frac{y_{2} \ - \ y_{1}}{x_{2} \ - \ x_{1}}=\frac{8 \ - \ 4}{2 \ - \ 0}=\frac{4}{2}=2$$The equation of a line can be written as:$$y \ - \ y_{0}=m \ (x \ - \ x_{0} )→$$$$y \ - \ 4=2 \ (x \ - \ 0)→$$$$y \ - \ 4=2 \ x→$$$$y=2 \ x \ + \ 4$$ 14- Choice D is correct The correct answer is $$378$$ cm$$^3$$Volume of a box $$=$$ length $$×$$ width $$×$$ height $$= 6 \ × \ 7 \ × \ 9 = 378$$ 15- Choice B is correct The correct answer is $$\frac{3}{13}$$Probability $$= \frac{number \ of \ desired \ outcomes}{number \ of \ total \ outcomes}= \frac{15}{14 \ + \ 15 \ + \ 16 \ + \ 20}= \frac{15}{65} = \frac{3}{13}$$ 16- Choice D is correct The correct answer is AB is perpendicular to AC.In any rectangle, sides are not perpendicular to diagonals. 17- Choice C is correct The correct answer is $$6$$ metersLet y be the width of the rectangle. Then:$$15 \ × \ y=90→$$$$y=\frac{90}{15}=6$$ 18- Choice D is correct The correct answer is The product is between $$2$$ and $$2.5$$$$4 \ × \ \frac{3}{5}=\frac{12}{5}=2.4$$ A. $$2.4 \ > \ 2$$ B. $$2.4 \ < \ 3$$C. $$\frac{75}{31}=2.419 \neq 2.4$$D. $$2 \ < \ 2.4 \ < \ 2.5$$ This is the answer! 19- Choice C is correct The correct answer is $$\frac{2}{7}, \ \frac{3}{8}, \ \frac{5}{11}, \ \frac{3}{4}$$Let’s compare each fraction:$$\frac{2}{7} \ < \ \frac{3}{8} \ < \ \frac{5}{11} \ < \ \frac{3}{4}$$Only choice C provides the right order. 20- Choice B is correct The correct answer is $$300 \ − \ (300 \ × \ 0.1)$$ To find the discount, multiply the number ($$100\% \ -$$ rate of discount) 21- Choice C is correct The correct answer is $$7$$ $$420=2^2 \ × \ 3^1 \ × \ 5^1 \ × \ 7^1$$ 22- Choice B is correct The correct answer is $$\frac{A}{13}$$ The area of the trapezoid is:area $$=\frac{base \ 1 \ + \ base \ 2}{2} \ ×$$ height $$=(\frac{10 \ + \ 16}{2}) \ x=A→$$$$13 \ x=A→$$$$x=\frac{A}{13}$$ 23- Choice A is correct The correct answer is $$13$$ $$\frac{104}{8}=13, \ \frac{1352}{104}=13, \ \frac{17576}{1352}=13$$ 24- Choice C is correct The correct answer is $$((\frac{30}{4} \ + \ \frac{15}{2}) \times 8) \ - \frac{11}{2} \ + \ \frac{222}{4}$$Simplify each option provided. A. $$- \ 20 \ - \ (3 \ × \ 10) \ + \ (6 \ × \ 40)=- \ 20 \ - \ 30 \ + \ 240=190$$B. $$(\frac{15}{8} \ × \ 72) \ + \ (\frac{125}{5})=135 \ + \ 25=160$$C. $$((\frac{30}{4} \ + \ \frac{15}{2}) \times 8) \ - \frac{11}{2} \ + \ \frac{222}{4}=((\frac{30 \ + \ 30}{4}) \ × \ 8) \ - \ \frac{11}{2} \ + \ \frac{111}{2}=((\frac{30}{4}) \ × \ 8) \ + \ \frac{111 \ - \ 11}{2}=$$$$(15 \ × \ 8) \ + \ \frac{100}{2}=120 \ + \ 50=170$$ (this is the answer)D. $$\frac{481}{6} \ + \ \frac{121}{3} \ + \ 50=\frac{481 \ + \ 242}{6} \ + \ 50=120.5 \ + \ 50=170.5$$ 25- Choice A is correct The correct answer is $$1,256$$ yd$$1$$ yard $$= 3$$ feetTherefore, $$3,768$$ ft. $$× \ \frac{1 \ yd}{3 \ ft}=1,256$$ yd 26- Choice A is correct The correct answer is $$\frac{1}{22}$$$$3,400$$ out of $$74,800$$ equals to $$\frac{3,400}{74,800} = \frac{17}{374} = \frac{1}{22}$$ 27- Choice A is correct The correct answer is $$60$$Prime factorizing of $$20=2 \ × \ 2 \ × \ 5$$Prime factorizing of $$12=2 \ × \ 2 \ × \ 3$$LCM $$=2 \ × \ 2 \ × \ 3 \ × \ 5=60$$ 28- Choice C is correct The correct answer is $$f= 2 \ x \ + \ 2 \ \frac{2}{5}$$Plug in the value of $$x$$ into the function $$f$$.First, plug in $$3.1$$ for $$x$$.A. $$f=2 \ x \ - \ \frac{3}{10}=2\ (3.1) \ - \ \frac{3}{10}=5.9\neq8.6$$B. $$f=x \ + \ \frac{3}{10}=3.1 \ + \ \frac{3}{10} =3.4 \neq10.8$$C. $$f= 2 \ x \ + \ 2 \ \frac{2}{5}=2 \ (3.1) \ + \ 2 \ \frac{2}{5}=6.2 \ + \ 2.4=8.6$$ This is correct!Plug in other values of $$x$$. $$x=4.2$$$$f= 2 \ x \ + \ 2 \ \frac{2}{5}=2 \ (4.2) \ + \ 2.4=10.8$$ This one is also correct.$$x=5.9$$$$f= 2 \ x \ + \ 2 \ \frac{2}{5}=2 \ (5.9) \ + \ 2.4=14.2$$ This one works too!D. $$2 \ x \ + \ \frac{3}{10}=2 \ (3.1) \ + \ \frac{3}{10}=6.5 \neq 8.6$$ 29- Choice D is correct The correct answer is $$96,000,000$$ mg$$1$$ kg $$= 1000$$ g and $$1$$ g $$= 1000$$ mg$$96$$ kg $$= 96 \ × \ 1000$$ g $$= 96 \ × \ 1000 \ × \ 1000=96,000,000$$ mg 30- Choice B is correct The correct answer is $$491$$ The diameter of a circle is twice the radius.Radius of the circle is $$\frac{25}{2}$$.Area of a circle $$= π \ r^2=π \ (\frac{25}{2})^2=156.25 \ π=156.25 \ × \ 3.14=490.625 \cong 491$$ 31- Choice B is correct The correct answer is $$13.5$$ Average (mean) $$=\frac{sum \ of \ terms}{number \ of \ terms}=\frac{10 \ + \ 11 \ + \ 15 \ + \ 14 \ + \ 15 \ + \ 17 \ + \ 12.5}{7}=13.5$$ 32- Choice C is correct The correct answer is The number of books sold in the June was more than half the number of books sold in the April. A. Number of books sold in April is: $$490$$Number of books sold in July is: $$780→ \frac{490}{780}=\frac{49}{78} \neq2$$B. Number of books sold in July is: $$780$$Half the number of books sold in May is: $$\frac{1250}{2}=625→7800 \ > \ 625$$C. Number of books sold in June is: $$300$$Half the number of books sold in April is: $$\frac{490}{2}=245→300 \ > \ 245$$ (it’s correct)D. $$490 \ + \ 300=790 \ > \ 780$$ 33- Choice B is correct The correct answer is $$\frac{5}{13}$$$$α$$ and $$β$$ are complementary angles.The sum of complementary angles is $$180$$ degrees.$$α \ + \ β=180^°→$$$$β=180^° \ - \ α=180^° \ - \ 50^°=130^°$$Then, $$\frac{α}{β}=\frac{50}{130}=\frac{5}{13}$$ 34- Choice C is correct The correct answer is $$(5, \ 4)$$When points are reflected over $$y-$$axis, the value of $$y$$ in the coordinates doesn’t change and the sign of $$x$$ changes.Therefore, the coordinates of point B is $$(5, \ 4)$$. 35- Choice B is correct The correct answer is $$\frac{1}{8}$$Number of biology book: $$25$$Total number of books; $$25 \ + \ 110 \ + \ 65=200$$The ratio of the number of biology books to the total number of books is: $$\frac{25}{200}=\frac{1}{8}$$ 36- Choice D is correct The correct answer is $$\frac{4}{5} \ > \ 0.7$$A. $$\frac{3}{4} \ < \ 0.7, \ \frac{3}{4}=0.75$$. Therefore, this inequality is not correct. B. $$25\%=\frac{1}{2} , \ 25\% = \frac{1}{4}$$, not $$\frac{1}{2}$$.C. $$6 \ < \ \frac{11}{2}, \ \frac{11}{2}=5.5$$. Therefore, this inequality is not correct.D. $$\frac{4}{5} \ > \ 0.7, \ \frac{4}{5}=0.8→0.8 \ > \ 0.7$$, this inequality is correct. 37- Choice D is correct The correct answer is $$33$$Henry is $$x$$ years old, then $$2 \ x=66→x=\frac{66}{2}=33$$ 38- Choice C is correct The correct answer is $$\frac{11}{30}$$There are $$30$$ integers from $$1$$ to $$30$$.Set of numbers that are not composite between $$1$$ and $$30$$ is:A $$= \left\{1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29\right\}$$$$10$$ integers are not composite. Probability of not selecting a composite number is: Probability $$= \frac{number \ of \ desired \ outcomes}{number \ of \ total \ outcomes}= \frac{11}{30}$$ 39- Choice D is correct The correct answer is Sara placed $$x$$ pens among $$8$$ friends and each friend received at most $$16$$ pens.Let’s write the inequality for each statement. A. $$\frac{x}{16} \ < \ 8$$B. $$\frac{8}{x} \ ≤ \ 16$$C. $$\frac{x}{8} \ < \ 16$$D. $$\frac{x}{8} \ ≤ \ 16$$ This is the inequality provided in the question. 40- Choice B is correct The correct answer is $$70$$Since, E is the midpoint of AB, then the area of all triangles DAE, DEF, CFE and CBE are equal.Let $$x$$ be the area of one of the triangle, then: $$4 \ x=140→x=35$$The area of DEC $$=2 \ x=2 \ (35)=70$$

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