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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -13 and -16? 208
    
2.   Add:   -6 and -9? -15
    
3.   Divide:   -5 and -1? 5
    
4.   Substract:   -13 and 8? -21
    
5.   Calculate: |-2 + -18 · -16 + -11| 275
    
6.   Simplify the following expressions:
  • -3x – -9 + -5x 9-8x
        
  • 2x + 10x + -20y – 12x -20y
        
  • -15y + 14 – 18y – -7 – 17 – 5x 4-5x-33y
        
  • y-5 × x-10 × x9 x-1 × y-5
        
  • x-2
    x11
    x-13
        
  • (10x2)4 10000x8
        
7.   Which of the following expressions show the associative property?
  • ( 3 × 4 ) × 7 = 3 × ( 4 × 7 )
  • ( m × n ) + 6 = 6 + ( m × n )
  • ( 9 × 4 ) + -2 = -2 + ( 9 × 4 )
  • -10x + -10 = -10 + -10x
A
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × (y + 2) = y + 2
  • 0 + i + j = i + j
  • ( c × d ) × b = c × ( d × b )
  • Commutative property of multiplication, Commutative property of addition and Distributive property
  • Identity property of multiplication, Identity property of addition and Associative property of multiplication
  • Associative property of multiplication, Distributive property and Identity property of multiplication
  • Distributive property, Identity property of addition and Commutative property of addition
B
    
9.   Solve the following equations for x:
  • 45 · -x = -90 x = 2
        
  • -
    10
    13
    x =
    20
    13
    x = -2
        
  • -20 = -23x – 43 x = -1
        
  • b – cx = a x = (b-a)/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 27x – 39 ≤ 15 x ≤ 2
        
  • x ≠ -136
  • -16 ≥ x > -27
  • 24
    4
    x <
    36
    6
    x < 1
        
11.   Convert the following numbers into scientific notation:
  • 0.000836 8.36 × 10-4
        
  • 56800 5.68 × 104
        
12.   Add the following polynomials:
  • -7z10 + 2z9 + 14z2 + 14z2 + -7  and  2z10 + -15z7 + -4z2 + 4z1
    -5z10 + 2z9 + -15z7 + 24z2 + 4z1 + -7
        
  • 3z19 + -8z18 + -11z16 + 2z14  and  -7z19 + -7z18 + -1z14 + -4z12 -4z19 + -15z18 + -11z16 + 1z14 + -4z12
        
13.   Multiply the following polynomials and simplify:
  • (7x5 - 5)(3x2 - 8)
    21x7 - 56x5 - 15x2 + 40
        
  • (6x5 + 2x3)(10x5 + 6x3 + 7x2)
    60x10 + 56x8 + 42x7 + 12x6 + 14x5
        
14.   Divide:
  • 12x3 - 21x2 + 32x - 54 / 4x - 7
    (3x2 + 8) with a remainder of 2
        
15.   Find the greatest common factor of the following terms:
  • 96, 28
    4
        
  • 25x10y8, 33y
    y
        
16.   Factor the following polynomials:
  • 12x3 + 60x2 + 69x
    12x(x -
    -5 +
    2
    2
    )(x -
    -5 -
    2
    2
    )
        
  • x2 + 0x - 1
    (x - 1)(x + 1)
        
  • x9 + 18x8 + 81x7
    x7(x + 9)(x + 9)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    1
    and
    -1


        
  • x =
    0
    ,
    -9

    and
    -9
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one, two, three, or four scoops. Flavors can be chocolate or vanilla. How many choices do you have?
  • 16
        
19.   Use the following data to construct a box and whiskers plot:
  • 3, 9, 23, 13, 25, 27, 33, 16, 1, 12
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 10
  • What is the probability of getting tails and 8?
    5.00%
        
  • What is the probability of getting tails and an even number?
    25%
        
  • What is the probability of getting tails and a multiple of 3?
    15%
        
  • What is the probability of getting heads and a prime number?
    20%
        
  • What is the probability of not tails and not 1?
    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 = -9
    x - y = 4
    A(-2.5,-6.5)
        
  • x - 7y = 4
    x + 15y = 4

    B(4,0)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x7 + 6x6 - 27x5
    x2(x + 9)
    x3(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 = 25x + 84
    x1 = -4,   x2 = -21
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.458
    454
    990
        
25.   Solve the following equation:
  • 13
    x
    = 9
    x =
    169
    81
        
26.   Rationalize the denominator of each fraction below:
  • 15
    2
    14 +
    14
    105
    2
    - 15
    7
    91
        
27.   Use a trigonometric ratio to find x:
x = 40.00 cm
    
28.   The sum of two consecutive even integers is 46. What are the integers? (Hint: use 2x as the first even integer)
a=22, b=24
    
29.   After you leave your house, you walk 3 blocks south and 4 blocks east. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   A rectangle has an area of 24ft2. Its width is 2 ft less than its length. What are the dimensions of the rectangle?
  • width = 4,  length = 6
        


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