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      testprofesso Channel

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      SAT Math Online Quiz
      myStudiyo Media
      Question
      1/7
      SAT Math Online Quiz
      Points for Question
      100
      My Score
      0
      Hi Score
      700
      If 8 − d = - (e − 3) and d = | -4 |, what is the value of e?
      Wrong
       of players answered correctly.
      • -9

      • -1

      • 1

      • 9

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      Comments:
      1. If 8 − d = - (e − 3) and d = | -4 |, what is the value of e?
        1. -9
        2. -1
        3. 1
        4. 9

        1.  

          d = | -4 | = 4, so 8 – d = 8 – 4 = 4 →

          4 = -(e – 3) → -4 = (e – 3) → e = -1

          (Brought to you by "5 SAT Math Practice Tests" and  www.testprofessors.com)

      2. In the number line, which of the following values could represent m?
        1. -2
        2. -1
        3. 1
        4. 2

        1.  

          Since m < | m |, m must be a negative number. This fact allows us to eliminate choices (C), (D), and (E). In order for m < m2, the only viable answer choice is A (-2).

           

          (Brought to you by "5 SAT Math Practice Tests" and  www.testprofessors.com)

      3. If c ◊ d = (c + d)^2, and 6 ◊ -3 = 4 ◊ z, which of the following is a value of z?
        1. -7
        2. -3
        3. 1
        4. 5

        1. c ◊ d = (c + d)2, so

          6 ◊ -3 = (6 + -3)2 and 4 ◊ z = (4 + z)2

          (6 + -3)2 = (4 + z)2 → 9 = z2 + 8z + 16 →

          z2 + 8z + 7 = 0 → (z + 7)(z + 1),

          So z can equal -7.

          (Brought to you by "5 SAT Math Practice Tests" and  www.testprofessors.com)

      4. In the figure above, if segment BD bisects segment CA, what is the area of triangle CED?
        1. 6
        2. 9
        3. 12
        4. 18

        1. Triangle ABE is a 45-45-90 triangle,

          so BE = EA = 6

          ABE and CED are congruent triangles,

          so BE = ED = CE = CD

          Area Triangle CED = (1/2)bh = (1/2)(6)(6)= 18

          (Brought to you by "5 SAT Math Practice Tests" and  www.testprofessors.com)

      5. If 5x + y = 2y + x, what is the ratio of x to y?
        1. 1:4
        2. 2:3
        3. 2:1
        4. 4:1

        1.  

          5x + y = 2y + x → 4x = 1y → x = 1/4y → 1:4

           

          (Brought to you by "5 SAT Math Practice Tests" and  www.testprofessors.com)

      6. The figure is a square with a side length of 8. What is the area of the shaded region?
        1. 64 - 12π
        2. 16π
        3. 32 - 2π
        4. 64 - 16π

        1.  

          Area of the square: (8)(8) = 64

          Area of the circle: πr2 = π(4)2 = 16π

          Shaded region: 64 – 16π

          (Brought to you by "5 SAT Math Practice Tests" and  www.testprofessors.com)

      7. If (3 – x)^2 = 36, what is the greatest possible value of x^2?
        1. -9
        2. -3
        3. 9
        4. 81

        1.  

          (3 – x)2 = 36, so x = -3 or  x = 9

          (9)2 = 81 > (-3)2 = 9, so 81

          (Brought to you by "5 SAT Math Practice Tests" and  www.testprofessors.com)

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