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Algebra test generator



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(current difficulty level: Challenging)

                           

Solve the following problems:

Important instructions

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1.   Multiply:   -38 and 90? -3420
    
2.   Add:   -64 and -65? -129
    
3.   Divide:   97 and 97? 1
    
4.   Substract:   -67 and -56? -11
    
5.   Calculate: |-82 + -14 · -9 + 85| 129
    
6.   Simplify the following expressions:
  • -53x + -71x + -60x -184x
        
  • -75x – -24x – -3y + 100y -51x+103y
        
  • -71y + 93 + 15y – 2x – 3 – -24z 90-2x-56y+24z
        
  • y-99 × x17 × x9 × x-54 x-28 × y-99
        
  • x55
    x-34
    x89
        
  • (5x2)2 25x4
        
7.   Which of the following expressions show the associative property?
  • 5 × ( y + 3 + 1 ) = 5×y + 5×3 + 5×1
  • h × ( i + 5 ) = hi + 5i
  • ( m × n ) × 3 = m × ( n × 3 )
  • 0 + -3x = -3x
C
    
8.   Which properties are illustrated by the following three expressions?
  • (b + c) × d = d × (b + c)
  • (r + s + t) × 1 = r + s + t
  • 1 + ( 3 + -12 ) = ( 1 + 3 ) + -12
  • Commutative property of multiplication, Identity property of multiplication and Associative property of addition
  • Distributive property, Associative property of multiplication and Identity property of multiplication
  • Distributive property, Identity property of multiplication and Identity property of addition
  • Commutative property of addition, Associative property of addition and Identity property of addition
A
    
9.   Solve the following equations for x:
  • -x · -45 = 45 x = 1
        
  • 5
    10
    = -
    5
    10
    x x = -1
        
  • 80 + 4x = 92 x = 3
        
  • fx = -dx + e x = e/(f+d)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 5x + -30 ≤ -35 x ≤ -1
        
  • x ≠ -376
  • -34 ≤ x ≥ 66
  • 20
    2
    x < 20 x < 2
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000856 8.56 × 10-8
        
  • 931000000000 9.31 × 1011
        
12.   Add the following polynomials:
  • 12z10 + -10z7  and  8z10 + 3z7 + 4z6
    20z10 + -7z7 + 4z6
        
  • -46z12 + 3z10 + -36z6 + -30z3  and  -3z13 + -33z12 + -31z10 -3z13 + -79z12 + -28z10 + -36z6 + -30z3
        
13.   Multiply the following polynomials and simplify:
  • (3x + 7)2x2
    6x3 + 14x2
        
  • (4x5 + 3x)(10x4 + 10x - 6)
    40x9 + 40x6 + 6x5 + 30x2 - 18x
        
14.   Divide:
  • 5x3 + 25x2 - x - 5 / x + 5
    5x2 - 1
        
15.   Find the greatest common factor of the following terms:
  • 396, 120
    12
        
  • 150x8y7, 225x3y10, 495x8y2
    15x3y2
        
16.   Factor the following polynomials:
  • 3x5 - 66x4 + 63x3
    3x3(x - 21)(x - 1)
        
  • x2 - 5x - 6
    (x - 6)(x + 1)
        
  • x5 - 16x4 + 60x3
    x3(x - 10)(x - 6)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    6
    and
    -1


        
  • x =
    0
    ,
    10

    and
    6
        
18.   You have 6 CDs. How many different ways can you listen to them?
  • 720
        
19.   Use the following data to construct a box and whiskers plot:
  • 30, 19, 31, 26, 3, 39, 23, 35, 32, 37
        
20.   A bag contains 2 blue balls, 5 red balls, and 3 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    30.00%
        
  • A blue ball or red ball?
    70.00%
        
  • Two red balls?
    25.00%
        
  • A blue ball and a white ball?
    6.00%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 10
    x - y = 11
    A(10.5,-0.5)
        
  • 10x - 2y = -13
    3x + y = 16

    B(1.19,12.44)
        
22.   Write the following fractions in simplest form:
  • 92x4y9
    23xy2
    4x3y7
        
  • x6 + 3x5 - 18x4
    x3(x - 3)
    x(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 = -21x + 98
    x1 = 14,   x2 = 7
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.278
    278
    999
        
25.   Solve the following equation:
  • 20 -
    x + 6
    = 11
    x = 75
        
26.   Rationalize the denominator of each fraction below:
  • 14
    7
    - 35
    -
    7
    + 35
    87
        
27.   Use a trigonometric ratio to find x:
x = 9.50 cm
    
28.   The sum of two consecutive odd integers is 32. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=15, b=17
    
29.   After you leave your house, you walk 8 blocks south and 15 blocks west. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   The length of a rectangle is 2 more than twice its width. The area of the rectangle is 84ft2. What is the length and width of the rectangle?
  • width = 6,  length = 14
        


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