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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   28 and 83? 2324
    
2.   Add:   85 and 7? 92
    
3.   Divide:   5 and 1? 5
    
4.   Substract:   -46 and -7? -39
    
5.   Calculate: |67 + -62 · 68 + -4| 4153
    
6.   Simplify the following expressions:
  • -1x – 79x + -22x -102x
        
  • -72x + 47y + -83x + 25y -155x+72y
        
  • 50z + -48y + -23z – -19z + 50x 50x-48y+46z
        
  • y28 × x-80 × x-60 x-140 × y28
        
  • x89
    x65
    x24
        
  • (4x5)7 16384x35
        
7.   Which of the following expressions show the associative property?
  • ( x × y ) + 4 = 4 + ( y × x )
  • q × ( r + 4 ) = qr + 4r
  • ( m + n ) × 3 = 3 × ( m + n )
  • ( m + n ) + p = m + ( n + p )
D
    
8.   Which properties are illustrated by the following three expressions?
  • 2 × 5 + y = y + 2 × 5
  • (-9 + x) × 11 = 11 × (-9 + x)
  • d × ( e × 1 ) = ( d × e ) × 1
  • Identity property of multiplication, Commutative property of addition and Distributive property
  • Commutative property of addition, Commutative property of multiplication and Identity property of addition
  • Commutative property of addition, Commutative property of multiplication and Associative property of multiplication
  • Commutative property of addition, Associative property of multiplication and Identity property of multiplication
C
    
9.   Solve the following equations for x:
  • -4 – x = 29 x = -33
        
  • -
    5
    25
    =
    1
    25
    x x = -5
        
  • -64 = 5x – 4 x = -12
        
  • ex = b x = b/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 9x – 29 ≥ 34 x ≥ 7
        
  • x ≠ -258
  • -79 < x ≥ 82
  • 8
    4
    x > -
    6
    3
    x > -1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000000972 9.72 × 10-11
        
  • 76100000 7.61 × 107
        
12.   Add the following polynomials:
  • 3z10 + -4z2  and  -19z10 + -10z9 + -20z3 + -8z2 + -14
    -16z10 + -10z9 + -20z3 + -12z2 + -14
        
  • -21z18 + 14z16 + -24z10 + -10z5 + 31z1  and  31z18 + 6z16 + 41z10 + -25z5 + -40z1 10z18 + 20z16 + 17z10 + -35z5 + -9z1
        
13.   Multiply the following polynomials and simplify:
  • (5x4 + 2x2 + 9x)(4x4 + 5x3 + 3)
    20x8 + 25x7 + 8x6 + 46x5 + 60x4 + 6x2 + 27x
        
  • (5x5 + 5x3)(8x4 + 10x3 + 2x)
    40x9 + 50x8 + 40x7 + 60x6 + 10x4
        
14.   Divide:
  • 10x3 - 2x2 + 20x - 4 / 5x - 1
    2x2 + 4
        
15.   Find the greatest common factor of the following terms:
  • 180, 390
    30
        
  • 125x3y3, 390x6y7
    5x3y3
        
16.   Factor the following polynomials:
  • 54x5 + 90x4 + 33x3
    54x3(x -
    -5 +
    3
    6
    )(x -
    -5 -
    3
    6
    )
        
  • x2 + 0x - 64
    (x - 8)(x + 8)
        
  • x8 + 0x7 - 4x6
    x6(x + 2)(x - 2)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    8
    and
    -8


        
  • x =
    0
    ,
    -2

    and
    2
        
18.   You have 3 CDs. How many different ways can you listen to them?
  • 6
        
19.   Use the following data to construct a box and whiskers plot:
  • 12, 28, 18, 38, 3, 13, 15, 11, 40, 19
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 10
  • What is the probability of getting tails and 3?
    5.00%
        
  • What is the probability of getting heads and an odd number?
    25%
        
  • What is the probability of getting tails and a multiple of 4?
    10%
        
  • What is the probability of getting heads and a prime number?
    20%
        
  • What is the probability of not heads and not 2?
    45%
        
  • 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 = -12
    x - y = -5
    A(-8.5,-3.5)
        
  • 5x - y = -3
    x + y = 9

    B(1,8)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x3(x - 4)
    x6 - 9x5 + 20x4
    1
    x(x - 5)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 11x = -30
    x1 = -5,   x2 = -6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 9.32
    923
    99
        
25.   Solve the following equation:
  • 24
    x
    = 2
    x = 6
        
26.   Rationalize the denominator of each fraction below:
  • 15
    2
    + 7
    -
    15
    2
    - 105
    47
        
27.   Use a trigonometric ratio to find x:
x = 18.19 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 3 blocks west and 4 blocks north. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   A rectangle has a width that is 9 m less than its length. The area of the rectangle is 220m2. What are the dimensions of the rectangle?
  • width = 11,  length = 20
        


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