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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -14 and 3? -42
    
2.   Add:   -7 and 2? -5
    
3.   Divide:   17 and 17? 1
    
4.   Substract:   5 and -1? 6
    
5.   Calculate: |19 + -14 · -5| 89
    
6.   Simplify the following expressions:
  • -2x – 15x – -10x -7x
        
  • 4x + 15 + -19 – -20y -4+4x+20y
        
  • 20y + 1y + 6z + 11z – 20x + -10 -10-20x+21y+17z
        
  • y2 × x-15 × y3 x-15 × y5
        
  • x14
    x18
    x-4
        
  • (9x3)2 81x6
        
7.   Which of the following expressions show the associative property?
  • a + b = b + a
  • -2 × 1 = -2
  • -1 × ( z + 3 + 4 ) = -1×z + -1×3 + -1×4
  • ( x × y ) × z = x × ( y × z )
D
    
8.   Which properties are illustrated by the following three expressions?
  • 13 + 5 × -1 = 5 × -1 + 13
  • 0 + -26 = -26
  • x × ( y + 1 ) = x × y + x × 1
  • Associative property of multiplication, Commutative property of addition and Identity property of multiplication
  • Commutative property of addition, Identity property of addition and Distributive property
  • Associative property of addition, Commutative property of addition and Commutative property of multiplication
  • Commutative property of multiplication, Associative property of multiplication and Distributive property
B
    
9.   Solve the following equations for x:
  • -55 + x = 65 x = 120
        
  • 19
    2
    = -
    1
    2
    x x = -19
        
  • -23x – -64 = 87 x = -1
        
  • -d = gx + e x = (d+e)/(-g)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 4x – -17 > -27 x > -11
        
  • x ≠ 79
  • 51 < x > -57
  • 20
    10
    x ≤
    28
    7
    x ≤ 2
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000164 1.64 × 10-8
        
  • 324000000000 3.24 × 1011
        
12.   Add the following polynomials:
  • 12z9 + -8z5 + 5z1 + -8  and  13z9 + 8
    25z9 + -8z5 + 5z1
        
  • 8z12 + 11z5 + -3z1  and  5z17 + 7z12 + -2z10 5z17 + 15z12 + -2z10 + 11z5 + -3z1
        
13.   Multiply the following polynomials and simplify:
  • (5x4 + 3x2)(9x5 + 8x4 - 8)
    45x9 + 40x8 + 27x7 + 24x6 - 40x4 - 24x2
        
  • (4x3 + 6x)(10x4 + 2x + 8)
    40x7 + 60x5 + 8x4 + 32x3 + 12x2 + 48x
        
14.   Divide:
  • 8x2 + 30x + 25 / 2x + 5
    4x + 5
        
15.   Find the greatest common factor of the following terms:
  • 27, 18, 78
    3
        
  • 21x9y6, 84x7y7, 27x8y9
    3x7y6
        
16.   Factor the following polynomials:
  • 52x4 - 40x3 - 12x2
    52x2(x +
    3
    13
    )(x - 1)
        
  • x2 - 12x + 35
    (x - 7)(x - 5)
        
  • x8 - 3x7 - 108x6
    x6(x - 12)(x + 9)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    7
    and
    5


        
  • x =
    0
    ,
    12

    and
    -9
        
18.   You have 3 pants, 2 shirts, and 3 shoes. How many different ways can you dress?
  • 18
        
19.   Use the following data to construct a box and whiskers plot:
  • 37, 9, 3, 21, 31, 25, 33, 16
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 19
  • What is the probability of getting tails and 1?
    2.63%
        
  • What is the probability of getting tails and an odd number?
    23.68%
        
  • What is the probability of getting tails and a multiple of 3?
    15.79%
        
  • What is the probability of getting heads and a prime number?
    21.05%
        
  • What is the probability of not tails and not 10?
    47.37%
        
  • 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 tails?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -2
    x - y = 7
    A(2.5,-4.5)
        
  • 2x - y = 18
    4x + 10y = 11

    B(7.96,-2.08)
        
22.   Write the following fractions in simplest form:
  • 22x7y
    88x10y3
    1
    4x3y2
        
  • (x - 3)
    (x2 - 6x + 9)
    1
    x - 3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 8x = 33
    x1 = 3,   x2 = -11
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.46
    42
    90
        
25.   Solve the following equation:
  • 13
    x
    - 8 = 10
    x
    + 4
    x = 16
        
26.   Rationalize the denominator of each fraction below:
  • 35
    6
    15
    14
    21
    3
        
27.   Use a trigonometric ratio to find x:
x = 28.28 cm
    
28.   The sum of two consecutive odd integers is 52. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=25, b=27
    
29.   After you leave your house, you walk 4 blocks east and 3 blocks north. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   A rectangle has a length 6 ft greater than its width. The area of the rectangle is 280ft2. What are the length and width of the rectangle?
  • width = 14,  length = 20
        


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