1 Choice C is correct
The correct answer is \(2\) \(3 \ a \ + \ 24 = 30 →\) \(3 \ a = 30 \  \ 24 →\) \(3 \ a = 6 → a = 2\)

2 Choice D is correct
The correct answer is \(242\) pounds \(220 \ + \ 22 = 242\)

3 Choice B is correct
The correct answer is \(28\) A. \(\frac{18}{6} = 3\) B. \(\frac{28}{6} = 4.66\) C. \(\frac{12}{6} = 2\) D. \(\frac{30}{6} = 5\)

4 Choice A is correct
The correct answer is \(3\) \(\frac{3^3}{x} = \frac{3^3}{9} = \frac{27}{9} = 3\)

5 Choice C is correct
The correct answer is \(3\) \(8 \ x \ – \ 4 = 20\) \(8 \ x = 24\) \(x = \frac{24}{8} = 3\)

6 Choice A is correct
The correct answer is \(2 \times 2 \times 5 \times 7\) Find the value of each choice: A. \(2 \times 2 \times 5 \times 7 = 140\) B. \(2 \times 2 \times 2 \times 2 \times 5 \times 7 = 560\) C. \(2 \times 2 \times 7 = 28\) D. \(2 \times 2 \times 2 \times 5 \times 7 = 280\)

7 Choice B is correct
The correct answer is \(40\) \(\frac{20}{100} \ 200 = x\) \(x = \frac{20 \ \times \ 200}{100} = 40\)

8 Choice A is correct
The correct answer is \(750\) Area of a rectangle \(=\) width \(\times\) length \(= 30 \times 25 = 750\)

9 Choice C is correct
The correct answer is \(8\) \(240 \div 30 = 8\)

10 Choice A is correct
The correct answer is \(14\) \(\frac{15 \ + \ 10 \ + \ 5 \ + \ 19 \ + \ 21}{5} = \frac{70}{5} = 14\)

11 Choice A is correct
The correct answer is \(20\) Mary \(=\) Ashly \(– \ 8\) Mary \(=\) David \(– \ 7\) Ashly \(+\) Mary \(+\) David \(= 75\) Ashly \(+ \ 8 =\) Mary \(⇒\) Ashly \(=\) Mary \(– \ 8\) Ashly \(+\) Mary \(+\) David \(= 75\) Now, replace the ages of Mary and David by Mary. Then: Mary \(+ \ 8 \ +\) Mary \(+\) Mary \(+ \ 7 = 75\) \(3\)Mary \(+ \ 15 = 75 ⇒ 3\) Mary \(= 75 \ – \ 15\) \(3\)Mary \(= 60\) Mary \(= 20\)

12 Choice B is correct
The correct answer is \(23\) The difference of \(3\) and \(5\) is \(2\). The difference of \(5\) and \(9\) is \(4\) and the difference of \(9\) and \(15\) is \(6\). Then, the difference of \(15\) and the next number should be \(8\). The answer is \(23\). \(15 \ + \ 8 = 23\)

13 Choice D is correct
The correct answer is \(23\) A. \(10\) is not prime. It is divisible by \(2\). B. \(15\) is not prime. It is divisible by \(3\). C. \(18\) is not prime. It is divisible by \(3\). D. \(23\) is prime!

14 Choice A is correct
The correct answer is \(\frac{5}{3}\) \(\frac{1}{\frac{3}{5}} = \frac{5}{3}\)

15 Choice C is correct
The correct answer is \(a^{7}\) \((a^2) \ . \ (a^5) = a^{2 \ + \ 5} = a^{7}\)

16 Choice D is correct
The correct answer is \(4.8\) \(0.95 \ + \ 1.7 \ + \ 2.15 = 4.8\)

17 Choice B is correct
The correct answer is \(3 \ (N \ – \ 4)\) Let \(x\) and \(y\) be the numbers. Then: \(x \ + \ y = N, \ x = 4→\) \(4 \ + \ y = N→\) \(y = N \ – \ 4\) \(3 \ y = 3 \ (N \ – \ 4)\)

18 Choice D is correct
The correct answer is \(18\%\) \(0.18 \times 100 = 18\%\)

19 Choice B is correct
The correct answer is \(13\) Circumference \(= π \ d ⇒ C = 4.2 \ π = 13.188 \cong 13\)

20 Choice B is correct
The correct answer is \(\frac{4}{3}\) \(\frac{20}{15} = \frac{4}{3}\)

21 Choice C is correct
The correct answer is \( \ 4\) \(11 \ + \ x = 7\) \(x = 7 \ – \ 11\) \(x =  \ 4\)

22 Choice D is correct
The correct answer is \(\frac{3}{2}\) A. \(\frac{2}{5} = 0.4\) B. \(\frac{1}{7} = 1.14\) C. \(\frac{5}{8} = 0.62\) D. \(\frac{3}{2} = 1.5\)

23 Choice A is correct
The correct answer is \(9\) \(2 \ x \ + \ 15 = 2 \ ( \ 3) \ + \ 15 =  \ 6 \ + \ 15 = 9\)

24 Choice A is correct
The correct answer is \(5,040\) \(7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 5,040\)

25 Choice C is correct
The correct answer is \(6\) \(\sqrt{36} = 6\)

26 Choice D is correct
The correct answer is \(7\) \((9 \ + \ 5) \div (4^{2} \div 8) = (14) \div (2) = 7\)

27 Choice A is correct
The correct answer is \(9.5\) \(7 \ < \ x \ ≤ \ 9\), then \(x\) cannot be equal to \(9.5\) .

28 Choice C is correct
The correct answer is \(32\) \(2^{5} = 2 \times 2 \times 2 \times 2 \times 2 = 32\)

29 Choice A is correct
The correct answer is \(6\) The difference of each number and next number is \(6\). \(\left\{18, \ 15, \ 12, \ 9, \ 6\right\}\)

30 Choice C is correct
The correct answer is \(40\) \(x \ + \ y = 10\) \(4 \ x \ + \ 4 \ y = 4 (x \ + \ y) →\) \(10 \times 4 = 40\)

31 Choice D is correct
The correct answer is \(3,584\) \(112 \times 32 = 3,584\)

32 Choice B is correct
The correct answer is \(6\) \(8 \ + \ x \ ≥ \ 14 →\) \(x \ ≥ \ 14 \  \ 8 → x \ ≥ \ 6\)

33 Choice B is correct
The correct answer is \( \ 5\) \( \ 5 \ a = 25\) \(a = \frac{25}{ \ 5} =  \ 5\)

34 Choice A is correct
The correct answer is \(168\) \(2\)ABC \(= 2 \ (7) \ (2) \ (6) = 168\)

35 Choice C is correct
The correct answer is \(2.25\) weeks \(1\) quart \(= 0.25\) gallon \(27\) quarts \(= 27 \times 0.25 = 6.75\) gallons then: \(\frac{6.75}{3} = 2.25\) weeks

36 Choice C is correct
The correct answer is \( (x \ + \ 4)( x \ – \ 2)\) \(x^2 \ + \ 2 \ x \ – \ 8 = (x \ + \ 4)( x \ – \ 2)\)

37 Choice D is correct
The correct answer is \(22\) Write a proportion and solve. \(\frac{6}{1} = \frac{132}{x} →\) \(x = \frac{132}{6} = 22\)

38 Choice B is correct
The correct answer is \(270\) \(15 \times 18 = 270\)

39 Choice C is correct
The correct answer is \(\frac{45}{10}\) \(\frac{45}{10} = 4.5\)

40 Choice A is correct
The correct answer is \(3! =3 \times 2 \times 1\)

41 Choice D is correct
The correct answer is \(3 \ \frac{ 3}{10}\) \(\frac{4}{10} \ + \ \frac{5}{2} \ + \ \frac{2}{5} = \frac{4 \ + \ 5(5) \ + \ 2(2)}{10} = \frac{33}{10}= 3 \ \frac{ 3}{10}\)

42 Choice B is correct
The correct answer is \(180\) Since Lucy gives \(8\) pieces of candy to each of her friends, then, then number of pieces of candies must be divisible by \(8\). A. \(128 \div 5 = 25.6\) B. \(180\div 5 = 36\) C. \(426 \div 5 = 85.2\) D. \(264 \div 5 =52.8 \) Only choice B gives a whole number.

43 Choice A is correct
The correct answer is \(x^{2} \ + \ 7 \ x \ + \ 12\) \((x \ + \ 3)(x \ + \ 4) = x^{2} \ + \ 4 \ x \ + \ 3 \ x \ + \ 12 = x^{2} \ + \ 7 \ x \ + \ 12\)

44 Choice B is correct
The correct answer is \((3, \ 18) \) Let’s review the choices provided. Put the values of \(x\) and \(y\) in the equation. A. \((2, \ 6) ⇒ x = 2 ⇒ y = 6\) This is true! B. \((− \ 2, \ − \ 10) ⇒ x =  \ 2 ⇒ y =  \ 11\) This is not true! C. \((1, \ 2) ⇒ x = 1 ⇒ y = 2\) This is true! D. \((3, \ 10) ⇒ x = 3 ⇒ y = 10\) This is true!

45 Choice A is correct
The correct answer is \(\frac{5}{10}\) \(\frac{5}{10} = 0.5\)

46 Choice C is correct
The correct answer is \(0.63\) \(\frac{12}{19} = 0.63\)

47 Choice B is correct
The correct answer is \(12\) \((6 \ x \ + \ 7) \  \ (6 \ x \  \ 5) = 6 \ x \ + \ 7 \  \ 6 \ x \ + \ 5 = 12\)

48 Choice B is correct
The correct answer is \(45\) Perimeter of a triangle \(=\) side \(1 \ +\) side \(2 \ +\) side \(3 = 15 \ + \ 15\ + \ 15 = 45\)

49 Choice C is correct
The correct answer is \(128\) pounds \(110 \ + \ 12 \ + \ 6 = 128\)

50 Choice A is correct
The correct answer is \( \ 6\) \(x^2 \ – \ 36 = 0\) \(x^2 = 36\) \(x = 6\) or \( \ 6\)

51 Choice C is correct
The correct answer is \(30^{◦}\) Angle b and angle \(135\) are supplementary angles. (their sum is \(180\) degrees) Angle b \(= 180 \ – \ 150 = 30\)

52 Choice D is correct
The correct answer is \(11\) The line is from \( \ 9\) to \(+ \ 2\). The difference of these two numbers is: \(2 \ –\ (– \ 9) = 2 \ + \ 9 = 11\)

53 Choice C is correct
The correct answer is \(x^{8}\) \((x^4)^2 = x^{8}\)

54 Choice C is correct
The correct answer is \(525\) Perimeter of rectangles \(= 2\) (width \(+\) length) Area of a rectangles \(=\) width . length Perimeter of rectangles \(= 2\)(width \(+\) length) \(→ 100 = 2(15 \ +\) length) → \(100 = 30 \ + \ 2\) (length) \(→ 70 = 2\) (length) \(→\) length \(= 35\) Area of a rectangles \(=\) width . length \(= 15 \times 35 = 525\)

55 Choice D is correct
The correct answer is \(64\) \(4 \times 4 \times 4 = 64\)

56 Choice A is correct
The correct answer is \(10\) The factors of \(10\) are: \(\left\{ 1, \ 2, \ 5, \ 10\right\}\) The factors of \(20\) are: \(\left\{1, 4 , \ 5, 10 ,\ 20\right\}\) Then: Greatest Common Factor \(= 10\)

57 Choice C is correct
The correct answer is \(18\) \(\sqrt{36} \times \sqrt{9} = 6 \times 3 = 18\)

58 Choice A is correct
The correct answer is \(9\) The difference between any number and its next number is \(3\). \(\left\{21, \ 18, \ 15, \ 12, \ 9\right\}\)

59 Choice D is correct
The correct answer is \(7325.3\) The tenth value is \(2\). \(7325.25\) is closer to \(7325.3\) than \(7325.2\)

60 Choice B is correct
The correct answer is \(65\) Plug in the value of x in the expression. Then: \(7 \ x^2 \ +\ 4 \ x \ – \ 10 = 7(3)^2 \ + \ 4(3) \ – \ 10 = 65\)

61 Choice B is correct
The correct answer is \(2.39\) cm Use circle circumference formula: C \(= 2 \ π \ r\) \(15= 2 \ π \ r\) \(r = \frac{15}{2 \ π} = 2.38 \cong 2.39\)

62 Choice D is correct
The correct answer is \(6\) \(\sqrt[3]{216} = \sqrt[3]{6^3} = 6\)

63 Choice C is correct
The correct answer is \(y = x \ + \ 1\) Plug in the values of \(x\) and \(y\) in the equations provided: A. \(y = 1 \ – \ x → y = 1 \ – \ ( \ 1) = 2\) This is true! B. \(y = x \ + \ 1 → y =( \ 1) \ + \ 1 = 0\) This is NOT true! C. \(x =  \ 1 → ( \ 1) =  \ 1\) This is true! D. \(y = x \ +\ 3 → y =( \ 1) \ + \ 3 = 2\) This is true!

64 Choice A is correct
The correct answer is \(105\) \(180 \ – \ 75 = 105\)
