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Algebra test generator



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1.   Multiply:   -15 and -3? 45
    
2.   Add:   -7 and 15? 8
    
3.   Divide:   14 and -2? -7
    
4.   Substract:   9 and -3? 12
    
5.   Calculate: |3 · -13 + 19 · -9| 210
    
6.   Simplify the following expressions:
  • -16x + -19x + -10x -45x
        
  • 10y – 6x + 16y + 8x 2x+26y
        
  • 11x + -6z + 4x + 18z + -16z 15x-4z
        
  • y18 × x7 x7 × y18
        
  • x-4
    x-12
    x8
        
  • (5x3)8 390625x24
        
7.   Which of the following expressions show the associative property?
  • ( x + y ) + z = x + ( y + z )
  • -7 × 1 = -7
  • ( x × y ) + 3 = 3 + ( y × x )
  • 5( 9 + 8 ) = 5×9 + 5×8
A
    
8.   Which properties are illustrated by the following three expressions?
  • ( 16 + 14) × 8 = 16 × 8 + 14 × 8
  • ( r × 1 ) × q = r × ( 1 × q )
  • 0 + 10 = 10
  • Distributive property, Associative property of multiplication and Identity property of addition
  • Associative property of addition, Identity property of addition and Distributive property
  • Identity property of addition, Commutative property of addition and Distributive property
  • Identity property of multiplication, Commutative property of addition and Distributive property
A
    
9.   Solve the following equations for x:
  • -66 = 37 – x x = 103
        
  • -
    13
    17
    =
    1
    17
    x x = -13
        
  • 61 = -4x + 17 x = -11
        
  • -b – fx = g x = (b+g)/(-f)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -5x + -25 ≥ -35 x ≤ 2
        
  • x ≠ -52
  • -24 < x < 2
  • -
    16
    8
    x ≥
    38
    19
    x ≤ -1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000000941 9.41 × 10-11
        
  • 82700000 8.27 × 107
        
12.   Add the following polynomials:
  • 2z3 + 2z2 + 2z1  and  -1z9 + 15z7 + 10z2 + 15z1
    -1z9 + 15z7 + 2z3 + 12z2 + 17z1
        
  • -9z18 + -8z12 + 11z11 + 9z5  and  9z18 + 8z11 + 5z5 -8z12 + 19z11 + 14z5
        
13.   Multiply the following polynomials and simplify:
  • (10x3 + 2x)(9x2 - 7)
    90x5 - 52x3 - 14x
        
  • (2x5 + 3x3 + 2)(7x3 - 7)
    14x8 + 21x6 - 14x5 - 7x3 - 14
        
14.   Divide:
  • 4x2 + 21x - 49 / x + 7
    4x - 7
        
15.   Find the greatest common factor of the following terms:
  • 33, 91
    1
        
  • 77x8y, 100x6y8
    x6y
        
16.   Factor the following polynomials:
  • 6x4 - 38x3 - 28x2
    6x2(x +
    2
    3
    )(x - 7)
        
  • x2 + 19x + 90
    (x + 9)(x + 10)
        
  • x7 + 24x6 + 140x5
    x5(x + 10)(x + 14)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -9
    and
    -10


        
  • x =
    0
    ,
    -10

    and
    -14
        
18.   You have 4 books to read. How many different ways can you read your books?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 19, 20, 32, 9, 16, 37, 34
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 4
  • What is the probability of getting heads and 2?
    12.50%
        
  • What is the probability of getting tails and an odd number?
    25%
        
  • What is the probability of getting heads and a multiple of 2?
    25%
        
  • What is the probability of getting heads and a prime number?
    25%
        
  • What is the probability of not tails and not 1?
    37.5%
        
  • What is the probability of getting not heads and not a whole number?
    0%
        
  • What is the probability of heads or tails and a whole number?
    100%
        
  • What is the probability of getting tails?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 16
    x - y = -11
    A(2.5,13.5)
        
  • 7x - 9y = -13
    6x + 9y = 6

    B(-0.54,1.03)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x + 9)6
    (x + 9)4
    (x + 9)2
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -15 = x2 - 8x
    x1 = 3,   x2 = 5
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.149
    149
    999
        
25.   Solve the following equation:
  • -12
    x
    + 14 = -11
    x
    + 2
    x = 144
        
26.   Rationalize the denominator of each fraction below:
  • 2
    6
    6 +
    6
    2
    6
    - 2
    5
        
27.   Use a trigonometric ratio to find x:
x = 19.00 cm
    
28.   The sum of two consecutive even integers is 38. What are the integers? (Hint: use 2x as the first even integer)
a=18, b=20
    
29.   After you leave your house, you walk 12 blocks west and 16 blocks south. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   A rectangle has an area of 91ft2. Its width is 6 ft less than its length. What are the dimensions of the rectangle?
  • width = 7,  length = 13
        


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