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OG19-数学分册 If 4 < $$\frac{7-x}{3}$$, which of the following must be true? I. 5 < x II. | x + 3| > 2 Ill. -(x + 5) is positive.
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If 4 < \frac{7 - x}{3}, which of the following must be true?

 

I. 5 < x

II. |x + 3| > 2

III. -(x + 5) is positive
OG15 OG16 OG17 OG18 The numbers of cars sold at a certain dealership on six of the last seven business days were 4, 7, 2, 8, 3, and 6, respectively. If the number of cars sold on the seventh business day was either 2, 4, or 5, for which of the three values does the average (arithmetic mean) number of cars sold per business day for the seven business days equal the median number of cars sold per day for the seven days?I. 2II. 4III. 5
KMFPS If a positive integer n is divisible by both 5 and 7, then n must also be divisible by which of the following?I 12II 35III 70
PREP07 Test 1 If n and y are positive integers and 450y = $${n}^{3}$$, which of the following must be an integer?I.$$\frac{y}{{3}*{2}^{2}*{5}}$$II.$$\frac{y}{{3}^{2}*{2}*{5}}$$III.$$\frac{y}{{3}*{2}*{5}^{2}}$$
PREP07 Test 2 If x and y are positive, which of the following must be greater than $${1}\over{\sqrt{x+y}}$$?I. $${\sqrt{x+y}}\over{2x}$$II. $$(\sqrt{x}+ {\sqrt{y})}\over{(x+y)}$$III. $${(\sqrt{x}- \sqrt{y})}\over{(x+y)}$$
PREP07 Test 2 If k and t are integers and $$k^2 - t^2$$ is an odd integer, which of the following must be an even integer?I. k+t+2II. $$k^2+2kt+t^2$$III. $$k^2+t^2$$
Manhattan If |a| = |b|, which of the following must be true? I. a = b II. |a| = -b III. -a = -b
Ready4

If <i>ri>, <i>si>, and <i>ti> are consecutive even integers and r<s<t, which of the following must be true?

  1. t−r=4
  2. ( s−r )t is an even integer.
  3. r+s+t 3 is an even integer.
Ready4

Which of the following is an integer?

  I.

 II.

III.

Ready4

According to the passage, which of the following was true of the Nonpublic Elementary and Secondary Education Act?
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The numbers <i>ti>, <i>ui>, <i>vi>, <i>wi>, and <i>xi> are five consecutive even integers in increasing order. What is the average (arithmetic mean) of these five numbers?

  1. The average (arithmetic mean) of <i>ui> and <i>vi> is 121.
  2. u+w=244
A cash register in a certain clothing store is the same distance from two dressing rooms in the store. If the distance between the two dressing rooms is 16 feet, which of the following could be the distance between the cash register and either dressing room?I. 6 feetII. 12 feetIII. 24 feet
OG17 OG18 OG19 OG20 OG2022 If 0 < a < b < c, which of the following statements must be true?I. 2a > b + cII. c - a > b - aIII. $$\frac{c}{a}$$ < $$\frac{b}{a}$$
OG19-数学分册 Which of the following represent positive numbers? I. -3 - (-5) II. (-3）(-5) Ill. -5 - (-3)
Ready4 Today, Anne is three times as old as Bobbi and Bobbi is 4 years younger than Charles. If Anne, Bobbi and Charles are all alive 3 years from today, which of the following must be true on that day?

I. Charles is 4 years older than Bobbi.

II. Anne is three times as old as Bobbi.

III. Charles is younger than Anne.

 
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Colleen has three dogs. One year ago, Ruff weighed twice as much as Gracie and Gracie weighed 5 pounds less than Hugo. Today, all three dogs are exactly 3 pounds heavier than one year ago. Which of the following must be true today?

I. Ruff weighs twice as much as Gracie.

II. Hugo weighs more than Ruff.

III. Hugo weighs more than Gracie.
Ready4

Which of the following is an integer?

  I.

 II.

III.

Magoosh For all numbers a and b, the operation is defined by$$a\oplus b = a^{2} - ab. If xy \neq 0$$, then which of the following can be equal to zero?I. $$x\oplus y$$II. $$xy\oplus y$$III. $$x\oplus (x + y)$$
OG17 If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S?I.$$\frac1 8$$II.$$\frac1 9$$III. $$\frac1 {10}$$