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Algebra test generator



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1.   Multiply:   -38 and -72? 2736
    
2.   Add:   41 and 75? 116
    
3.   Divide:   -65 and 13? -5
    
4.   Substract:   -37 and 52? -89
    
5.   Calculate: |12 · -14 + -95| 263
    
6.   Simplify the following expressions:
  • 51x + 51x – -74 74+102x
        
  • -68 + 91 – -24x + -14x 23+10x
        
  • 76 – -12y – -16x + -58 – -38z 18+16x+12y+38z
        
  • y-57 × y-60 × x-87 × y86 x-87 × y-31
        
  • x33
    x-45
    x78
        
  • (5x4)8 390625x32
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) + 4 = 4 + ( m × n )
  • ( 5 + 6 ) + 4 = 5 + ( 6 + 4 )
  • 5 + 3z + 10
  • d × ( e + 3 ) = de + 3e
B
    
8.   Which properties are illustrated by the following three expressions?
  • 5 × (7 + x) = (7 + x) × 5
  • r + s + 0 = r + s
  • y × ( z + 1 ) = y × z + y × 1
  • Associative property of multiplication, Commutative property of multiplication and Identity property of multiplication
  • Associative property of addition, Associative property of multiplication and Commutative property of multiplication
  • Commutative property of multiplication, Identity property of addition and Distributive property
  • Distributive property, Associative property of multiplication and Commutative property of multiplication
C
    
9.   Solve the following equations for x:
  • -x · -11 = -33 x = -3
        
  • 1
    22
    x =
    1
    22
    x = 1
        
  • 54 = 56 + -2x x = 1
        
  • gx = -fx – e x = (-e)/(g+f)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x – 29 < -2 x < 27
        
  • x ≠ 801
  • -94 ≤ x ≥ -62
  • 36
    12
    x ≤ -33 x ≤ -11
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000117 1.17 × 10-10
        
  • 338000000 3.38 × 108
        
12.   Add the following polynomials:
  • 15z10 + 6z6 + -9z5 + -19z4 + -8z1  and  17z7 + 13z6 + 20z5
    15z10 + 17z7 + 19z6 + 11z5 + -19z4 + -8z1
        
  • -23z20 + 15z14 + -35z9 + -46z6 + -20z3  and  -36z17 + 16z14 + -33z9 + -37z3 -23z20 + -36z17 + 31z14 + -68z9 + -46z6 + -57z3
        
13.   Multiply the following polynomials and simplify:
  • (3x3 + 8x2 + 10x)7x2
    21x5 + 56x4 + 70x3
        
  • (1x5 + 4x2 + 8x)(9x3 + 3x2)
    9x8 + 3x7 + 36x5 + 84x4 + 24x3
        
14.   Divide:
  • 2x2 - 6x - 20 / x - 5
    2x + 4
        
15.   Find the greatest common factor of the following terms:
  • 75, 200
    25
        
  • 120y, 288x6y
    24y
        
16.   Factor the following polynomials:
  • 11x4 - 22x3 + 11x2
    11x2(x - 1)(x - 1)
        
  • x2 - x - 20
    (x - 5)(x + 4)
        
  • x5 + 6x4 - 72x3
    x3(x + 12)(x - 6)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    5
    and
    -4


        
  • x =
    0
    ,
    -12

    and
    6
        
18.   How many ways can 6 people wait in line?
  • 720
        
19.   Use the following data to construct a box and whiskers plot:
  • 28, 13, 7, 34, 10, 32, 27
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 14
  • What is the probability of getting heads and 13?
    3.57%
        
  • What is the probability of getting tails and an odd number?
    25%
        
  • What is the probability of getting heads and a multiple of 6?
    7.14%
        
  • What is the probability of getting heads and a prime number?
    21.43%
        
  • What is the probability of not heads and not 2?
    46.43%
        
  • 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 = 8
    x - y = -13
    A(-2.5,10.5)
        
  • 7x - 8y = -15
    x + 10y = -19

    B(-3.87,-1.51)
        
22.   Write the following fractions in simplest form:
  • 88x6y7
    22x8y5
    4y2
    x2
        
  • (x2 + 6x + 9)
    (x + 3)
    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.
  • -10x = x2 + 21
    x1 = -3,   x2 = -7
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.796
    796
    999
        
25.   Solve the following equation:
  • 24
    x
    = 2
    x = 6
        
26.   Rationalize the denominator of each fraction below:
  • 7
    14
    + 3
    7
    14
    - 21
    5
        
27.   Use a trigonometric ratio to find x:
x = 24.00 cm
    
28.   The sum of two consecutive odd integers is 28. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=13, b=15
    
29.   After you leave your house, you walk 5 blocks west and 12 blocks north. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   A rectangle has a width that is 5 m less than its length. The area of the rectangle is 336m2. What are the dimensions of the rectangle?
  • width = 16,  length = 21
        


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