1 Choice D is correct
The correct answer is \(9\) The line segment is from \(1\) to \( \ 8\). Therefore, the line is \(9\) units. \(1 – \ ( \ 8)= 1 \ + \ 8=9\)

2 Choice A is correct
The correct answer is \(1,350\) Use area of rectangle formula. Area \(=\) length \(×\) width \(⇒ A = 30 \ ×\ 45 ⇒ A = 1,350\)

3 Choice A is correct
The correct answer is \(32\) average (mean) \(= \frac{sum \ of \ terms}{number \ of \ terms}⇒\) average \(=\frac{ 32 \ + \ 35 \ + \ 29}{3} ⇒\) average \(= 32\)

4 Choice A is correct
The correct answer is \(3 : 2\) Peter’s speed \(= \frac{120}{4} = 30\) Jason’s speed \(= \frac{160}{8} = 20\) \(\frac{The \ average \ speed \ of \ peter}{The \ average \ speed \ of \ Jason}= \frac{30}{20}\) equals to: \(\frac{3}{2}\) or \(3 : 2\)

5 Choice B is correct
The correct answer is \(8 \ (4 \  \ x)=96\) Plug in \(x= \ 8\) in each equation. A. \(x \ (2 \ x \  \ 4)=120→( \ 8) \ (2 \ ( \ 8) \  \ 4)=( \ 8) \ × \ (  \ 16 \  \ 4)=160 \) B. \(8 \ (4 \  \ x)=96→8 \ (4 \  \ ( \ 8)=8 \ (12)=96\) C. \(2 \ (4 \ x \ + \ 6)=79→2 \ (4 \ ( \ 8) \ + \ 6)=2 \ ( \ 32 \ + \ 6)= \ 52\) D. \(6 \ x \  \ 2= \ 46→6 \ ( \ 8) \  \ 2= \ 48 \  \ 2=  \ 50\) Only option B is correct.

6 Choice B is correct
The correct answer is \(25.12\) The diameter of the circle is \(8\) inches. Therefore, the radius of the circle is \(4\) inches. Use circumference of circle formula. \(C = 2 \ π \ r ⇒ C = 2 \ × \ 3.14 \ × \ 4 ⇒ C = 25.12\)

7 Choice B is correct
The correct answer is \(15\) \(3\) workers can walk \(9\) dogs \(⇒ 1\) workers can walk \(3\) dogs. \(5\) workers can walk \((5 \ × \ 3) \ 15\) dogs.

8 Choice C is correct
The correct answer is \((0, \ 0)\) The horizontal axis in the coordinate plane is called the \(x\)axis. The vertical axis is called the \(y\)axis. The point at which the two axes intersect is called the origin. The origin is at \(0\) on the \(x\)axis and \(0\) on the \(y\)axis.

9 Choice C is correct
The correct answer is \(435\) \(19 \ + \ (16 \ × \ 26) = 19 \ + \ 416 = 435\)

10 Choice D is correct
The correct answer is \($38\) \(1\) hour: \($4.75 \) \(8\) hours: \( 8 \ × \ $4.75 = $38\)

11 Choice C is correct
The correct answer is \(143^°\) An obtuse angle is an angle of greater than \(90^°\) and less than \(180^°\). From the options provided, only option C (\(143\) degrees) is an obtuse angle.

12 Choice A is correct
The correct answer is \(\frac{23}{9}\) \(6 \ – \ 3 \ \frac{4}{9} = \frac{54}{9} \  \ \frac{31}{9} = \frac{23}{9}\)

13 Choice D is correct
The correct answer is \(13.64\%\) The number of guests that are not present are \((220 \ – \ 190) \ 30\) out of \(220 = \frac{30}{220}\) Change the fraction to percent: \( \frac{30}{220} \ × \ 100\%=13.64\%\)

14 Choice D is correct
The correct answer is \(=\) Each kilogram is \(1,000\) grams. \(18,023\) grams \(= \frac{18,023}{1,000}=18.023\) kilograms. Therefore, two amounts provided are equal.

15 Choice B is correct
The correct answer is \($300\) Aria teaches \(36\) hours for three identical courses. Therefore, she teaches \(12\) hours for each course. Aria earns \($25\) per hour. Therefore, she earned \($300 \ (12 \ × \ 25)\) for each course.

16 Choice C is correct
The correct answer is \(63\%\) The number of female students in the class is \((60 \ – \ 22) \ 38\) out of \(60 = \frac{38}{60}\) Change the fraction to percent: \(\frac{38}{60} \ × \ 100\%=63\%\)

17 Choice C is correct
The correct answer is \(114\) Write a proportion and solve. \(\frac{6 \ soft \ drinks}{9 \ guests} = \frac{x}{171\ guests}\) \(x =\frac{171 \ × \ 6}{9} ⇒x=114\)

18 Choice C is correct
The correct answer is \(6\) Times Every \(90\) minutes Emma checks her email. In \(9\) hours (\(540\) minutes), Emma checks her email \((540 \ ÷ \ 90) \ 6\) times.

19 Choice C is correct
The correct answer is \(59\%\) There are \(44\) students in the class. \(18\) of the are male and \(26\) of them are female. \(26\) out of \(44\) are female. Then: \(\frac{26}{44}=\frac{x}{100}→\) \(2,600=44 \ x→\) \(x=2,600 \ ÷ \ 44 \approx 59\%\)

20 Choice C is correct
The correct answer is \(43\) Divide the number flowers by \(12: \ 516 \ ÷ \ 12 = 43\)

21 Choice A is correct
The correct answer is \(24\) average (mean) \(= \frac{sum\ of \ terms}{number \ of\ terms}⇒\) average \(=\frac{2 \ + \ 5 \ + \ 22 \ + \ 28 \ + \ 32 \ + \ 35 \ + \ 35 \ + \ 33}{8} ⇒\) average \(= 24\)

22 Choice B is correct
The correct answer is \(5,231.5\) Rounding decimals is similar to rounding other numbers. If the hundredths and thousandths places of a decimal is fortynine or less, they are dropped, and the tenths place does not change. For example, rounding \(0.843\) to the nearest tenth would give \(0.8\). Therefore, \(5,231.48245\) rounded to the nearest tenth is \(5,231.5\).

23 Choice D is correct
The correct answer is \(748\) square feet Perimeter of rectangle formula: P \(= 2\) (length \(+\) width) \(⇒112 =2 \ (l \ + \ 22) ⇒ l= 34\) Area of rectangle formula: \(A =\) length \(×\) width \(⇒ A = 34 \ × \ 22 ⇒ A = 748\)

24 Choice D is correct
The correct answer is \(120\) ft\(^3\) Use volume of rectangle prism formula. \(V =\) length \(×\) width \(×\) height \(⇒\) \(V= 6 \ × \ 4 \ × \ 5 ⇒ V= 120\)

25 Choice D is correct
The correct answer is \(\frac{1}{10} , \ \frac{1}{8}, \ \frac{1}{6}, \ \frac{1}{3}\) In fractions, when denominators increase, the value of fractions decrease and as much as numerators increase, the value of fractions increase. Therefore, the least one of this list is: \(\frac{1}{10}\) and the greatest one of this list is: \(\frac{1}{3 }\)

26 Choice E is correct
The correct answer is \(110^°\) All angles in every triangle add up to \(180^°\). Let \(x\) be the angle ABC. Then: \(180 = 25 \ + \ 45 \ + \ x ⇒ x=110^°\)

27 Choice C is correct
The correct answer is \(30\) miles per gallon Write a proportion and solve. \(15\) gallons: \(450\) miles \(1\) gallon: \(450 \ ÷ \ 15 = 30\) miles

28 Choice C is correct
The correct answer is \(2.5\%\) \(0.025 = \frac{25}{1000} = \frac{2.5}{100} = 2.5\%\)

29 Choice A is correct
The correct answer is \(4,896\) \(1\) acre: \(153\) pine trees \(32\) acres: \(153 \ × \ 32 = 4,896\) pine trees

30 Choice A is correct
The correct answer is \(\frac{5}{6}\) The students that had to go to summer school is 5 out of \(30 = \frac{5}{30} = \frac{1}{6}\) Therefore \(\frac{5}{6}\) students did not have to go to summer school.

31 Choice D is correct
The correct answer is \(\frac{5}{7}\) \(\frac{2}{5} = 0.4\) \(\frac{1}{3} = 0.33\) \(\frac{6}{9} = 0.67\) \(\frac{5}{7} = 0.71\) \(\frac{5}{7}\) is the largest.

32 Choice D is correct
The correct answer is \(10\) \(4\) garbage trucks can collect the trash of \(28\) homes. Then, one garbage truck can collect the trash of \(7\) homes. To collect trash of \(70\) houses, \(10 \ (70 \ ÷ \ 7)\) garbage trucks are required.

33 Choice C is correct
The correct answer is \($33.00\) \(4\) steak dinners \(= 4 \ × \ $8.25 = $33\)

34 Choice D is correct
The correct answer is \($92.90\) \($3.45\) per mile for the first \(22\) miles. Therefore, the cost for the first \(22\) miles is: \(22 \ × \ $3.45 = $75.9\) \($4.25\) per mile for each mile over \(22\), therefore, \(4\) miles over \(22\) miles cost: \(4 \ × \ $4.25 = $17\) In total, David pays: \($75.9 \ + \ $17 = $92.90\)

35 Choice A is correct
The correct answer is \(3\) Write a proportion and solve. \(\frac{6 \ soft \ drinks}{10 \ guests} = \frac{x}{5 \ guests}\) \(x =\frac{5 \ × \ 6}{10} ⇒x=3\)

36 Choice B is correct
The correct answer is \(216\) The number of candies should be a whole number! Check each option provided. A. \(167 \ ÷ \ 8 = 23.375\) B. \(216 \ ÷ \ 8 = 27\) C. \(243 \ ÷ \ 8 = 30.375\) D. \(223 \ ÷ \ 8 = 27.875\) Only option B gives a whole number.

37 Choice C is correct
The correct answer is \($39.95\) They contributed: \($10.25 \ + \ $11.25 \ + \ $18.45 = $39.95\) in total, so the maximum amount that they can spend is the sum of their contribution.

38 Choice C is correct
The correct answer is \(32,000\) Use area of rectangle formula. Area \(=\) length \(×\) width \(⇒ A= 160 \ × \ 200 ⇒ A= 32,000\)

39 Choice B is correct
The correct answer is \(80\) \(12\) cups: \(1\) hour \(960\) cups: \(960 \ ÷ \ 12 = 80\) hours

40 Choice D is correct
The correct answer is \(250\) Write a proportion and solve. \(\frac{\frac{1}{5}}{50} = \frac{1}{x}⇒\) \( x = 50 \ × \ 5=250\)
