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Algebra test generator



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(current difficulty level: Challenging)

                           

Solve the following problems:

Important instructions

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1.   Multiply:   -80 and -57? 4560
    
2.   Add:   -97 and 94? -3
    
3.   Divide:   58 and 2? 29
    
4.   Substract:   -82 and -68? -14
    
5.   Calculate: |4 + -50 · -66 + 82| 3386
    
6.   Simplify the following expressions:
  • -2x + -10x + -34x -46x
        
  • 5x – -29x – -67x + 14x 115x
        
  • -24x + 81x + -36x + 33z + -3y 21x-3y+33z
        
  • y74 × x-30 × y-57 × y-56 x-30 × y-39
        
  • x71
    x-46
    x117
        
  • (4x)8 65536x8
        
7.   Which of the following expressions show the associative property?
  • a + b = b + a
  • ( m × n ) + 9 = 9 + ( m × n )
  • ( m × n ) × 4 = m × ( n × 4 )
  • 7 × 1 = 7
C
    
8.   Which properties are illustrated by the following three expressions?
  • ( o + p ) × n = o × n + p × n
  • ( -20 + 6 ) + 3 = -20 + ( 6 + 3 )
  • 27 + 0 = 27
  • Commutative property of addition, Distributive property and Identity property of addition
  • Distributive property, Identity property of addition and Identity property of multiplication
  • Distributive property, Commutative property of multiplication and Identity property of addition
  • Distributive property, Associative property of addition and Identity property of addition
D
    
9.   Solve the following equations for x:
  • 99 = 35 + x x = 64
        
  • 13
    30
    =
    13
    30
    x x = 1
        
  • 61 = 116x – 55 x = 1
        
  • -ex = f x = -f/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x + -3 ≥ 2 x ≥ 5
        
  • x ≠ -236
  • -19 ≥ x < 69
  • -
    10
    5
    x <
    12
    2
    x > -3
        
11.   Convert the following numbers into scientific notation:
  • 0.000000217 2.17 × 10-7
        
  • 472000000 4.72 × 108
        
12.   Add the following polynomials:
  • -16z10 + -16z8 + -18z6 + -3z5  and  4z10 + -9z8 + -13z6 + 19z4
    -12z10 + -25z8 + -31z6 + -3z5 + 19z4
        
  • -9z16 + 47z7 + 42z4 + 28z3 + -2z2  and  -17z10 + -7z5 + -1z4 + -24z3 -9z16 + -17z10 + 47z7 + -7z5 + 41z4 + 4z3 + -2z2
        
13.   Multiply the following polynomials and simplify:
  • (9x3 + 2x2 + 4x)(2x4 + 2x2)
    18x7 + 4x6 + 26x5 + 4x4 + 8x3
        
  • (1x5 + x - 4)(10x2 + 4x)
    10x7 + 4x6 + 10x3 - 36x2 - 16x
        
14.   Divide:
  • 4x3 - 2x2 - 28x + 14 / 4x - 2
    x2 - 7
        
15.   Find the greatest common factor of the following terms:
  • 396, 495, 330
    33
        
  • 72x6y7, 400x9
    8x6
        
16.   Factor the following polynomials:
  • 14x3 + 39x2 - 35x
    14x(x -
    5
    7
    )(x +
    7
    2
    )
        
  • x2 + 0x - 100
    (x + 10)(x - 10)
        
  • x5 - 7x4 - 78x3
    x3(x + 6)(x - 13)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -10
    and
    10


        
  • x =
    0
    ,
    -6

    and
    13
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one or two scoops. Flavors can be chocolate, vanilla, strawberry or peach. How many choices do you have?
  • 16
        
19.   Use the following data to construct a box and whiskers plot:
  • 22, 17, 27, 32, 11, 13, 34
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 16
  • What is the probability of getting tails and 1?
    3.13%
        
  • What is the probability of getting heads and an odd number?
    25%
        
  • What is the probability of getting heads and a multiple of 8?
    6.25%
        
  • What is the probability of getting heads and a prime number?
    18.75%
        
  • What is the probability of not tails and not 2?
    46.88%
        
  • 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 heads?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 9
    x - y = 1
    A(5,4)
        
  • 10x - 3y = 19
    7x + 10y = -15

    B(1.2,-2.34)
        
22.   Write the following fractions in simplest form:
  • 7x7y10
    14xy8
    x6y2
    2
        
  • (x - 7)6
    (x - 7)3
    (x - 7)3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 5x - 50 = -x2
    x1 = 5,   x2 = -10
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.8
    8
    9
        
25.   Solve the following equation:
  • -13
    x
    + 14 = -4
    x
    + 5
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 10
    2
    5
    2
        
27.   Use a trigonometric ratio to find x:
x = 32.33 cm
    
28.   The sum of two consecutive even integers is 54. What are the integers? (Hint: use 2x as the first even integer)
a=26, b=28
    
29.   After you leave your house, you walk 8 blocks west and 15 blocks north. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   The length of a rectangle is 6 less than 2 times the width. What are the dimensions of the rectangle if the area is 108m2?
  • width = 9,  length = 12
        


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