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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -15 and -15? 225
    
2.   Add:   -17 and 15? -2
    
3.   Divide:   -8 and 8? -1
    
4.   Substract:   -9 and -13? 4
    
5.   Calculate: |-10 + -4 · 6| 34
    
6.   Simplify the following expressions:
  • 13x + 17x + 6 6+30x
        
  • -1x + -2y – -17x – -18x 34x-2y
        
  • 17x – -2 + 16 + -1y + 11 + -5x 29+12x-1y
        
  • x4 × x0 × x-19 × y-17 x-15 × y-17
        
  • x19
    x14
    x5
        
  • (10x)4 10000x4
        
7.   Which of the following expressions show the associative property?
  • ( x + y ) + z = x + ( y + z )
  • s × ( t + 2 ) = st + 2t
  • 7( 6 + 3 ) = 7×6 + 7×3
  • -7x + 1 = 1 + -7x
A
    
8.   Which properties are illustrated by the following three expressions?
  • a × ( b × 1 ) = ( a × b ) × 1
  • (w + x + y) × 1 = w + x + y
  • y × ( z + 1 ) = y × z + y × 1
  • Associative property of multiplication, Associative property of addition and Commutative property of multiplication
  • Associative property of multiplication, Identity property of multiplication and Distributive property
  • Commutative property of multiplication, Commutative property of addition and Distributive property
  • Identity property of multiplication, Commutative property of addition and Associative property of addition
B
    
9.   Solve the following equations for x:
  • 82 = -92 – -x x = 174
        
  • -
    17
    6
    =
    1
    6
    x x = -17
        
  • -93 + 18x = -75 x = 1
        
  • -gx = b x = -b/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – 3 ≥ -38 x ≤ 35
        
  • x ≠ -564
  • 8 < x < -12
  • 34
    17
    x ≤ -
    36
    9
    x ≤ -2
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000503 5.03 × 10-10
        
  • 730000000 7.3 × 108
        
12.   Add the following polynomials:
  • -10z2 + -8z1  and  -15z10 + 3z6 + 6z2 + -7z1
    -15z10 + 3z6 + -4z2 + -15z1
        
  • -9z9 + -9z2 + 4z1  and  10z5 + 13z2 + 7z1 -9z9 + 10z5 + 4z2 + 11z1
        
13.   Multiply the following polynomials and simplify:
  • (7x5 + 9x3)(2x5 + 5x3 + 4x2)
    14x10 + 53x8 + 28x7 + 45x6 + 36x5
        
  • (2x3 + 6x2 - 6)(3x5 + 6x)
    6x8 + 18x7 - 18x5 + 12x4 + 36x3 - 36x
        
14.   Divide:
  • 12x2 + 51x + 54 / 4x + 9
    3x + 6
        
15.   Find the greatest common factor of the following terms:
  • 100, 16, 11
    1
        
  • 36x5y7, 45x5y9
    9x5y7
        
16.   Factor the following polynomials:
  • 10x5 + 20x4 - 30x3
    10x3(x - 1)(x + 3)
        
  • x2 + 2x - 48
    (x - 6)(x + 8)
        
  • x5 + 9x4 - 52x3
    x3(x - 4)(x + 13)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    6
    and
    -8


        
  • x =
    0
    ,
    4

    and
    -13
        
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:
  • 9, 13, 22, 26, 12, 35, 2, 36, 34, 7
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 7
  • What is the probability of getting tails and 1?
    7.14%
        
  • What is the probability of getting tails and an even number?
    21.43%
        
  • What is the probability of getting heads and a multiple of 2?
    21.43%
        
  • What is the probability of getting heads and a prime number?
    28.57%
        
  • What is the probability of not heads and not 5?
    42.86%
        
  • 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 = 9
    A(13.5,4.5)
        
  • 8x - 9y = -18
    2x + 6y = 14

    B(0.27,2.24)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 - 18x + 81)
    (x - 9)
    x - 9
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 36 = -12x
    x1 = -6,   x2 = -6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 8.561
    8476
    990
        
25.   Solve the following equation:
  • 7
    x
    + 10 = 8
    x
    + 5
    x = 25
        
26.   Rationalize the denominator of each fraction below:
  • 15
    7
    - 5
    -
    5
    7
    + 25
    6
        
27.   Use a trigonometric ratio to find x:
x = 35.36 cm
    
28.   The sum of two consecutive odd integers is 36. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=17, b=19
    
29.   After you leave your house, you walk 4 blocks west and 3 blocks north. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   The length of a rectangle is 2 less than 2 times the width. What are the dimensions of the rectangle if the area is 84m2?
  • width = 7,  length = 12
        


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