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Algebra Test 18
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Algebra Test 18
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  • Question 1/30
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    Orthogonal

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    The system of vectors i, j, k is?
    Solutions
    Orthogonal
  • Question 2/30
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    Directions For Questions

    commutative

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    Which property is illustrated by the equation  (a b) c = c (a b) ?
    Solutions
    commutative
  • Question 3/30
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    -23

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    Evaluate 3x - 4y if x = -5, y = 2?
    Solutions
    -23
  • Question 4/30
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    8(2 z)(2-z)

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    What is the complete factorization of 32-8z
    Solutions
    8(2 z)(2-z)
  • Question 5/30
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    2x

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    Write using symbols: twice x?
    Solutions
    2x
  • Question 6/30
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    50

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    50 x 3 = 200 - n?
    Solutions
    50
  • Question 7/30
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    29x=5

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    Which equation is equivalent to  4(2-5x)=6 -3(1 -3x)?
    Solutions
    29x=5
  • Question 8/30
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    32

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    20 3(5 - 1) = ?
    Solutions
    32
  • Question 9/30
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    16

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    What quantity should be added to both sides of this equation to complete the square?          x2-8x =5
    Solutions
    16
  • Question 10/30
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    4

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    The total cost (c) in dollars of renting a sailboat for n days is given by the equation c =120 60n. If the total cost was $360, for how many days was the sailboat rented?
    Solutions
    4
  • Question 11/30
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    -5ab2

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    Divide:25a3b3c2/-5a4bc2?
    Solutions
    -5ab2
  • Question 12/30
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    20

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    10 7 = n - 3?
    Solutions
    20
  • Question 13/30
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    50

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    In a school of 550 students, the ratio of boys and girls is 6 : 5. How many more girls are to be admitted to make the ratio equal?
    Solutions
    50
  • Question 14/30
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    10/30

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    What is the probability that a number selected from numbers 1,2,3,...,30, is prime number, when each of the given numbers is equally likely to be selected?
    Solutions
    10/30
  • Question 15/30
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    Step 2

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    Solve: 3(x 5)=2x 35 Step 1: 3x 15 = 2x 35 Step 2: 5x 15 = 35 Step 3: 5x = 20 Step 4: x = 4 Which is the first incorrect step in the solutionshown above?
    Solutions
    Step 2
  • Question 16/30
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    3

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    What is the value of  y in the equation   2(3y - 4) = 10 ?
    Solutions
    3
  • Question 17/30
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    (2,-8)

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    What are the solutions for the quadratic equation x2 6x=16?
    Solutions
    (2,-8)
  • Question 18/30
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    2x2y3

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    The correct exponential form of2(x)(x)(y)(y)(y) is ?
    Solutions
    2x2y3
  • Question 19/30
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    676,000

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    Your state issues license plates consisting of letters and numbers.  There are 26 letters and the letters may be repeated.  There are 10 digits and the digits may be repeated.  How many possible license plates can be issued with two letters followed by three numbers?
    Solutions
    676,000
  • Question 20/30
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    60 feet

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    A 120-foot-long rope is cut into 3 pieces. The first piece of rope is twice as long as the second piece of rope. The third piece of rope is three times as long as the second piece of rope. What is the length of the longest piece of rope?
    Solutions
    60 feet
  • Question 21/30
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    (x 2 )2=10

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    Leanne correctly solved the equation x2 4x=6 by completing the square. Which equation is part of her solution?
    Solutions
    (x 2 )2=10
  • Question 22/30
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    3a4b2c

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    The correct exponential form of 3(a)(a)(a)(a)(b)(b)(c) is ?
    Solutions
    3a4b2c
  • Question 23/30
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    29/36

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    A pair of dice is rolled.  A possible event is rolling a multiple of 5.  What is the probability of the complement of this event?
    Solutions
    29/36
  • Question 24/30
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    7.0

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    The cost to rent a construction crane is (750 per day plus)250 per hour of use. What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed $2500 per day?
    Solutions
    7.0
  • Question 25/30
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    2x-3

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    arter is solving this equation by factoring.        10x2-25x 15 =0 Which expression could be one of his correct factors?
    Solutions
    2x-3
  • Question 26/30
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    (3x)(3x)(3x)

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    (3x)
    Solutions
    (3x)(3x)(3x)
  • Question 27/30
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    x>19

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    What is the solution to the inequality x-5>14?
    Solutions
    x>19
  • Question 28/30
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    1/3

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    A die is rolled.  What is the probability that the number rolled is greater than 2 and even?
    Solutions
    1/3
  • Question 29/30
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    1/52

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    A standard deck of 52 cards is shuffled.  What is the probability of choosing the 5 of diamonds?
    Solutions
    1/52
  • Question 30/30
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    x2 (bx/a) (b/2a)2=-(c/a) (b/2a)2

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    Toni is solving this equation by completing the square.     ax2 bx c =0 (where a>=0) Step 1:   ax2 bx=-c Step 2: x2 bx/a=-c/a Step 3:?Which should be Step 3 in the solution?
    Solutions
    x2 (bx/a) (b/2a)2=-(c/a) (b/2a)2
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