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Algebra test generator



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Important instructions

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1.   Multiply:   -8 and 4? -32
    
2.   Add:   10 and -16? -6
    
3.   Divide:   12 and 3? 4
    
4.   Substract:   -12 and -12? 0
    
5.   Calculate: |-6 + 6 · -15| 96
    
6.   Simplify the following expressions:
  • -9 + 12x + -16 -25+12x
        
  • 17x + -11y – -20x + 1y 37x-10y
        
  • 6 + 20 – -6 – 3z – -10z + 6x 32+6x+7z
        
  • x14 × y16 x14 × y16
        
  • x13
    x-19
    x32
        
  • (2x2)10 1024x20
        
7.   Which of the following expressions show the associative property?
  • 3x + -10 = -10 + 3x
  • ( 6 + 8 ) + 5 = 6 + ( 8 + 5 )
  • ( -8 × -10 ) + -4 = -4 + ( -8 × -10 )
  • -7 × ( y + 6 + 2 ) = -7×y + -7×6 + -7×2
B
    
8.   Which properties are illustrated by the following three expressions?
  • ( -20 + -14) × 4 = -20 × 4 + -14 × 4
  • g + h + 18 = 18 + g + h
  • 1 × (n + o + p) = n + o + p
  • Distributive property, Associative property of multiplication and Identity property of multiplication
  • Associative property of addition, Associative property of multiplication and Commutative property of addition
  • Commutative property of multiplication, Commutative property of addition and Identity property of addition
  • Distributive property, Commutative property of addition and Identity property of multiplication
D
    
9.   Solve the following equations for x:
  • 25 = -x + -25 x = -50
        
  • 19
    17
    x =
    19
    17
    x = 1
        
  • -46 = -17x – -5 x = 3
        
  • -c = bx x = -c/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -3x + 16 ≥ 1 x ≤ 5
        
  • x ≠ 239
  • -37 > x ≤ 46
  • 12
    4
    x > 33 x > 11
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000000472 4.72 × 10-11
        
  • 294000000 2.94 × 108
        
12.   Add the following polynomials:
  • 4z6 + -8z4 + 11z1 + 12  and  6z4 + -11z1
    4z6 + -2z4 + 12
        
  • -12z18 + -5z18 + 13z16 + 13z7 + -8z1  and  8z19 + 6z18 + -11z16 + 1z7 8z19 + -11z18 + 2z16 + 14z7 + -8z1
        
13.   Multiply the following polynomials and simplify:
  • 10x4(6x5 + 5x2)
    60x9 + 50x6
        
  • (5x5 + 5x3 + 9x2)(2x2 + 8x)
    10x7 + 40x6 + 10x5 + 58x4 + 72x3
        
14.   Divide:
  • 4x3 - 4x2 + 16x - 16 / 2x - 2
    2x2 + 8
        
15.   Find the greatest common factor of the following terms:
  • 36, 35
    1
        
  • 54y4, 100x7
    2
        
16.   Factor the following polynomials:
  • 5x4 - 31x3 + 26x2
    5x2(x -
    26
    5
    )(x - 1)
        
  • x2 - x - 6
    (x - 3)(x + 2)
        
  • x6 - 10x5 + 25x4
    x4(x - 5)(x - 5)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    3
    and
    -2


        
  • x =
    0
    ,
    5

    and
    5
        
18.   You have 7 CDs. How many different ways can you listen to them?
  • 5040
        
19.   Use the following data to construct a box and whiskers plot:
  • 6, 4, 40, 16, 24, 14, 38, 39
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 6
  • What is the probability of getting heads and 6?
    8.33%
        
  • What is the probability of getting tails and an even number?
    25%
        
  • What is the probability of getting tails and a multiple of 3?
    16.67%
        
  • What is the probability of getting heads and a prime number?
    25%
        
  • What is the probability of not heads and not 1?
    41.67%
        
  • What is the probability of getting not tails 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 heads?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 18
    x - y = -18
    A(0,18)
        
  • 4x - 10y = 12
    x + 9y = 16

    B(5.83,1.13)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x + 6)
    (x2 + 12x + 36)
    1
    x + 6
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 77 = 4x
    x1 = -7,   x2 = 11
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.29
    27
    90
        
25.   Solve the following equation:
  • 28
    x
    = 2
    x = 7
        
26.   Rationalize the denominator of each fraction below:
  • 14
    35
    - 14
    -
    2
    35
    + 28
    23
        
27.   Use a trigonometric ratio to find x:
x = 23.33 cm
    
28.   The sum of two consecutive even integers is 54. What are the integers? (Hint: use 2x as the first even integer)
a=26, b=28
    
29.   After you leave your house, you walk 12 blocks north and 9 blocks east. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   A rectangle has a width that is 4 m less than its length. The area of the rectangle is 221m2. What are the dimensions of the rectangle?
  • width = 13,  length = 17
        


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