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Algebra test generator



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1.   Multiply:   14 and 9? 126
    
2.   Add:   -8 and 14? 6
    
3.   Divide:   -5 and 1? -5
    
4.   Substract:   -10 and -4? -6
    
5.   Calculate: |8 · -19 + 10 · 7| 82
    
6.   Simplify the following expressions:
  • 7 + 19x + -20 -13+19x
        
  • -7y – -1y – -9x + 1x 10x-6y
        
  • 12y – 19x – -12y – 8z + 1z -19x+24y-7z
        
  • y9 × y1 × x17 × x0 x17 × y10
        
  • x9
    x20
    x-11
        
  • (10x4)10 10000000000x40
        
7.   Which of the following expressions show the associative property?
  • r × ( s + 4 ) = rs + 4s
  • ( x × y ) × z = x × ( y × z )
  • 7( 5 + 2 ) = 7×5 + 7×2
  • 0 + 9x = 9x
B
    
8.   Which properties are illustrated by the following three expressions?
  • 0 + p + 13 = p + 13
  • -16 × ( 4 × -19 ) = ( -16 × 4 ) × -19
  • ( -1 + -15) × -17 = -1 × -17 + -15 × -17
  • Associative property of addition, Identity property of addition and Distributive property
  • Identity property of addition, Associative property of multiplication and Distributive property
  • Commutative property of multiplication, Commutative property of addition and Associative property of multiplication
  • Commutative property of addition, Commutative property of multiplication and Identity property of addition
B
    
9.   Solve the following equations for x:
  • 53 – -x = 8 x = -45
        
  • -
    9
    13
    x =
    9
    13
    x = -1
        
  • -64 = -17x + -13 x = 3
        
  • -gx = d x = -d/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 57x + -24 > 33 x > 1
        
  • x ≠ 738
  • 39 < x > -1
  • -
    40
    10
    x ≤
    40
    2
    x ≥ -5
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000284 2.84 × 10-8
        
  • 392000 3.92 × 105
        
12.   Add the following polynomials:
  • -13z7 + 9z4 + 4z2  and  1z7 + 9z2 + 14
    -12z7 + 9z4 + 13z2 + 14
        
  • -9z19 + -10z12 + -1z11 + 5z4 + -12z2  and  -13z19 + -9z12 + -13z11 + 11z2 -22z19 + -19z12 + -14z11 + 5z4 + -1z2
        
13.   Multiply the following polynomials and simplify:
  • (2x3 + 3)(4x2 - 5)
    8x5 - 10x3 + 12x2 - 15
        
  • (9x2 - 9)(3x5 + 5x2)
    27x7 - 27x5 + 45x4 - 45x2
        
14.   Divide:
  • 15x3 - 27x2 + 20x - 36 / 5x - 9
    3x2 + 4
        
15.   Find the greatest common factor of the following terms:
  • 12, 36, 75
    3
        
  • 27x4y5, 60x4y7
    3x4y5
        
16.   Factor the following polynomials:
  • 33x5 - 22x4 - 11x3
    33x3(x +
    1
    3
    )(x - 1)
        
  • x2 - 12x + 36
    (x - 6)(x - 6)
        
  • x7 + 5x6 - 36x5
    x5(x + 9)(x - 4)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    6
    and
    6


        
  • x =
    0
    ,
    -9

    and
    4
        
18.   How many ways can 6 people wait in line?
  • 720
        
19.   Use the following data to construct a box and whiskers plot:
  • 32, 8, 27, 26, 4, 33, 36, 31
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 14
  • What is the probability of getting tails and 10?
    3.57%
        
  • What is the probability of getting heads and an odd number?
    25%
        
  • What is the probability of getting heads and a multiple of 4?
    10.71%
        
  • What is the probability of getting heads and a prime number?
    21.43%
        
  • What is the probability of not heads and not 13?
    46.43%
        
  • 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 = -10
    x - y = -1
    A(-5.5,-4.5)
        
  • 14x - y = -14
    5x + 6y = -5

    B(-1,0)
        
22.   Write the following fractions in simplest form:
  • 16x10y4
    64x9y7
    x
    4y3
        
  • (x + 4)
    (x2 + 8x + 16)
    1
    x + 4
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 6x = 40
    x1 = 4,   x2 = -10
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.5184
    5133
    9900
        
25.   Solve the following equation:
  • 3x + 4
    - 12 = 7
    x = 119
        
26.   Rationalize the denominator of each fraction below:
  • 2
    35
    - 6
    -2
    35
    - 12
        
27.   Use a trigonometric ratio to find x:
x = 41.01 cm
    
28.   The sum of two consecutive even integers is 26. What are the integers? (Hint: use 2x as the first even integer)
a=12, b=14
    
29.   After you leave your house, you walk 16 blocks west and 12 blocks south. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   The length of a rectangle is 8 less than 4 times the width. What are the dimensions of the rectangle if the area is 192m2?
  • width = 8,  length = 24
        


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