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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -5 and 12? -60
    
2.   Add:   -11 and 9? -2
    
3.   Divide:   -3 and 3? -1
    
4.   Substract:   4 and 5? -1
    
5.   Calculate: |3 · -18 + -9| 63
    
6.   Simplify the following expressions:
  • 19x + 17 – -5 22+19x
        
  • 10 – 2x – -6 – -13x 16+11x
        
  • 7y – 6y – 12x + -19x + 10y -31x+11y
        
  • x3 × x20 × x4 × y5 x27 × y5
        
  • x18
    x-9
    x27
        
  • (7x2)10 282475249x20
        
7.   Which of the following expressions show the associative property?
  • -4x + 1 = 1 + -4x
  • 0 + 8x = 8x
  • 9 × 2 = 2 × 9
  • ( 9 + 3 ) + 4 = 9 + ( 3 + 4 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • z + 4 × -6 = 4 × -6 + z
  • 11 × ( 19 × -18 ) = ( 11 × 19 ) × -18
  • ( -3 + -17 ) × y = -3 × y + -17 × y
  • Commutative property of addition, Associative property of multiplication and Distributive property
  • 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 multiplication
  • Distributive property, Associative property of addition and Commutative property of addition
A
    
9.   Solve the following equations for x:
  • -40 = 35 + x x = -75
        
  • -
    5
    25
    x = -
    20
    25
    x = 4
        
  • -35 + 8x = -19 x = 2
        
  • gx + ax = -c x = (-c)/(g+a)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 23x – -13 ≤ -10 x ≤ -1
        
  • x ≠ 924
  • -37 > x ≤ 95
  • -
    18
    9
    x <
    24
    12
    x > -1
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000977 9.77 × 10-9
        
  • 74100000 7.41 × 107
        
12.   Add the following polynomials:
  • -1z10 + 7z8 + -9z5 + 12z3 + 1z1  and  15z10 + -11z8 + -10z5 + 13z3 + 1z1
    14z10 + -4z8 + -19z5 + 25z3 + 2z1
        
  • 9z17 + 8z8 + 3z4  and  -2z20 + -13z17 + 5z8 + -7z7 -2z20 + -4z17 + 13z8 + -7z7 + 3z4
        
13.   Multiply the following polynomials and simplify:
  • (8x3 + 3x2)(6x5 + 6x4 + 7)
    48x8 + 66x7 + 18x6 + 56x3 + 21x2
        
  • (2x5 + 7x2 + 9x)(7x3 + 7x2)
    14x8 + 14x7 + 49x5 + 112x4 + 63x3
        
14.   Divide:
  • 10x2 - 3x + 7 / 2x - 3
    (5x + 6) with a remainder of 25
        
15.   Find the greatest common factor of the following terms:
  • 75, 56
    1
        
  • 27x4y, 45x2y5, 22y
    y
        
16.   Factor the following polynomials:
  • 20x3 - 100x2 + 60x
    20x(x -
    5 +
    13
    2
    )(x -
    5 -
    13
    2
    )
        
  • x2 - 8x - 9
    (x - 9)(x + 1)
        
  • x6 + 11x5 + 24x4
    x4(x + 3)(x + 8)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    9
    and
    -1


        
  • x =
    0
    ,
    -3

    and
    -8
        
18.   You have 2 pants, 2 shirts, and 3 shoes. How many different ways can you dress?
  • 12
        
19.   Use the following data to construct a box and whiskers plot:
  • 24, 30, 35, 5, 40, 25, 34, 33, 37, 31
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 5
  • What is the probability of getting tails and 5?
    10.00%
        
  • What is the probability of getting heads and an odd number?
    20%
        
  • What is the probability of getting tails and a multiple of 2?
    20%
        
  • What is the probability of getting tails and a prime number?
    30%
        
  • What is the probability of not heads and not 5?
    40%
        
  • 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 = 10
    x - y = -13
    A(-1.5,11.5)
        
  • 2x - 9y = -10
    7x + 7y = -7

    B(-1.73,0.73)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x5 - 5x4 - 6x3
    x(x + 1)
    x2(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.
  • -11x + 28 = -x2
    x1 = 4,   x2 = 7
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.53
    48
    90
        
25.   Solve the following equation:
  • 4x + 1
    - 18 = -5
    x = 42
        
26.   Rationalize the denominator of each fraction below:
  • 4
    2
    3 +
    21
    -
    3
    2
    -
    42
    3
        
27.   Use a trigonometric ratio to find x:
x = 27.58 cm
    
28.   The sum of two consecutive odd integers is 44. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=21, b=23
    
29.   After you leave your house, you walk 12 blocks north and 5 blocks west. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   Each side of a square is lengthened by 8 m. This makes the area of the square 289m2. What is the original length of a side of the square?
  • 9 m
        


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