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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   4 and 19? 76
    
2.   Add:   -19 and 15? -4
    
3.   Divide:   -4 and 2? -2
    
4.   Substract:   1 and 13? -12
    
5.   Calculate: |-11 + 7 · -10| 81
    
6.   Simplify the following expressions:
  • 13x – -7x – 5 -5+20x
        
  • 19 – 19x + -18y – -4 23-19x-18y
        
  • 10y + 1y – -1y + -8x – 1 -1-8x+12y
        
  • x-13 × y-20 x-13 × y-20
        
  • x-16
    x-20
    x4
        
  • (2x4)5 32x20
        
7.   Which of the following expressions show the associative property?
  • a + b = b + a
  • 1( 6 + 9 ) = 1×6 + 1×9
  • ( 5 × 6 ) × 9 = 5 × ( 6 × 9 )
  • 1x + 1 = 1 + 1x
C
    
8.   Which properties are illustrated by the following three expressions?
  • 13 × (2 + x) = (2 + x) × 13
  • e + f + 13 = 13 + e + f
  • 43 + 0 = 43
  • Commutative property of addition, Associative property of multiplication and Commutative property of multiplication
  • Commutative property of multiplication, Commutative property of addition and Identity property of addition
  • Associative property of addition, Commutative property of multiplication and Identity property of addition
  • Associative property of addition, Commutative property of multiplication and Commutative property of addition
B
    
9.   Solve the following equations for x:
  • 44 – -x = -86 x = -130
        
  • 3
    28
    x = -
    27
    28
    x = -9
        
  • -41 – 3x = -59 x = 6
        
  • fx = d + cx x = d/(f-c)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 2x + -11 < -25 x < -7
        
  • x ≠ -622
  • 53 ≤ x < -56
  • -
    26
    13
    x ≤
    10
    5
    x ≥ -1
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000829 8.29 × 10-9
        
  • 754000000 7.54 × 108
        
12.   Add the following polynomials:
  • 3z8 + 7z5 + 4z4 + -5z2 + -6  and  7z8 + -12z5
    10z8 + -5z5 + 4z4 + -5z2 + -6
        
  • 15z16 + 13z7 + -6z5 + 6z1 + -12  and  12z18 + -12z7 + -9z5 + -15z1 + 10 12z18 + 15z16 + 1z7 + -15z5 + -9z1 + -2
        
13.   Multiply the following polynomials and simplify:
  • (1x3 - 8)3x4
    3x7 - 24x4
        
  • (8x3 + 7x)(7x4 - 2)
    56x7 + 49x5 - 16x3 - 14x
        
14.   Divide:
  • 8x3 - 8x2 + 20x - 20 / 2x - 2
    4x2 + 10
        
15.   Find the greatest common factor of the following terms:
  • 65, 52, 60
    1
        
  • 30x7y9, 36x7y8
    6x7y8
        
16.   Factor the following polynomials:
  • 24x5 - 95x4 - 4x3
    24x3(x +
    1
    24
    )(x - 4)
        
  • x2 + 14x + 48
    (x + 8)(x + 6)
        
  • x6 + 15x5 + 56x4
    x4(x + 8)(x + 7)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -8
    and
    -6


        
  • x =
    0
    ,
    -8

    and
    -7
        
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, vanilla, strawberry or peach. How many choices do you have?
  • 32
        
19.   Use the following data to construct a box and whiskers plot:
  • 21, 4, 30, 25, 26, 34, 27, 7
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 9
  • What is the probability of getting heads and 5?
    5.56%
        
  • What is the probability of getting tails and an even number?
    22.22%
        
  • What is the probability of getting tails and a multiple of 2?
    22.22%
        
  • What is the probability of getting heads and a prime number?
    22.22%
        
  • What is the probability of not tails and not 4?
    44.44%
        
  • 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 = 3
    x - y = 5
    A(4,-1)
        
  • x - 9y = -1
    2x + 2y = -10

    B(-4.6,-0.4)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x3 - 7x2 + 10x
    x5(x - 5)
    (x - 2)
    x4
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 20 = x2 - x
    x1 = -4,   x2 = 5
        
24.   Convert the following repeating decimal into a fraction:
  • x = 3.679
    3312
    900
        
25.   Solve the following equation:
  • -12
    x
    + 12 = -13
    x
    + 16
    x = 16
        
26.   Rationalize the denominator of each fraction below:
  • 15
    2 +
    35
    -
    30 - 15
    35
    31
        
27.   Use a trigonometric ratio to find x:
x = 32.33 cm
    
28.   The sum of two consecutive odd integers is 48. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=23, b=25
    
29.   After you leave your house, you walk 12 blocks south and 16 blocks east. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   A rectangle has a length 10 m greater than its width. The area of the rectangle is 200m2. What are the length and width of the rectangle?
  • width = 10,  length = 20
        


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