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Algebra test generator



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Important instructions

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1.   Multiply:   -5 and 3? -15
    
2.   Add:   5 and 6? 11
    
3.   Divide:   -18 and -1? 18
    
4.   Substract:   3 and 15? -12
    
5.   Calculate: |15 · -9 + 7 · 20| 5
    
6.   Simplify the following expressions:
  • 3 – 1x – 1x 3-2x
        
  • -6y – -4 + -11y + -20 -16-17y
        
  • -12 + 11 + 13y – 5y + 17x + 8x -1+25x+8y
        
  • x16 × x11 × x-7 × y12 x20 × y12
        
  • x20
    x7
    x13
        
  • (4x3)2 16x6
        
7.   Which of the following expressions show the associative property?
  • 4 + -3 = -3 + 4
  • ( m + n ) × 2 = 2 × ( m + n )
  • 4( 6 + 7 ) = 4×6 + 4×7
  • ( m + n ) + 2 = m + ( n + 2 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • 18 × -11 + -14 = -14 + 18 × -11
  • ( y + 1 ) × x = y × x + 1 × x
  • k + 11 + 0 = k + 11
  • Distributive property, Associative property of addition and Commutative property of addition
  • Commutative property of addition, Distributive property and Identity property of addition
  • Identity property of addition, Distributive property and Identity property of multiplication
  • Identity property of addition, Associative property of addition and Distributive property
B
    
9.   Solve the following equations for x:
  • -18 – -x = 50 x = 68
        
  • 13
    29
    x = -
    13
    29
    x = -1
        
  • 77 + 6x = 17 x = -10
        
  • ex + d = -ax x = (-d)/(e+a)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -2x + 5 ≥ 27 x ≤ -11
        
  • x ≠ 113
  • 19 ≥ x < 92
  • 3x <
    24
    4
    x < 2
        
11.   Convert the following numbers into scientific notation:
  • 0.0000279 2.79 × 10-5
        
  • 993000000 9.93 × 108
        
12.   Add the following polynomials:
  • 5z8 + -6z7 + 7z6 + -12z4 + 14z1  and  -3z10 + 4z6 + 6z1
    -3z10 + 5z8 + -6z7 + 11z6 + -12z4 + 20z1
        
  • 7z16 + 4z14 + 11z9  and  3z14 + 10z13 + -9z11 + 2z9 + 13z8 7z16 + 7z14 + 10z13 + -9z11 + 13z9 + 13z8
        
13.   Multiply the following polynomials and simplify:
  • (10x4 + 3x3)8x3
    80x7 + 24x6
        
  • (10x2 + 10x)(3x5 + 3x3)
    30x7 + 30x6 + 30x5 + 30x4
        
14.   Divide:
  • 12x3 - 20x2 + 12x - 20 / 3x - 5
    4x2 + 4
        
15.   Find the greatest common factor of the following terms:
  • 21, 50, 42
    1
        
  • 54x, 90x9y5, 21x7y9
    3x
        
16.   Factor the following polynomials:
  • 8x5 - 24x4 + 17x3
    8x3(x -
    6 +
    2
    4
    )(x -
    6 -
    2
    4
    )
        
  • x2 - x - 2
    (x + 1)(x - 2)
        
  • x8 + 5x7 - 66x6
    x6(x + 11)(x - 6)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -1
    and
    2


        
  • x =
    0
    ,
    -11

    and
    6
        
18.   You have 5 pants, 3 shirts, and 3 shoes. How many different ways can you dress?
  • 45
        
19.   Use the following data to construct a box and whiskers plot:
  • 33, 15, 40, 1, 14, 21, 10
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 10
  • What is the probability of getting heads and 2?
    5.00%
        
  • What is the probability of getting tails and an odd number?
    25%
        
  • What is the probability of getting tails and a multiple of 5?
    10%
        
  • What is the probability of getting tails and a prime number?
    20%
        
  • What is the probability of not heads and not 7?
    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 = 8
    x - y = -11
    A(-1.5,9.5)
        
  • 4x - 15y = 16
    x + 2y = -19

    B(-11,-4)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x + 5)3
    (x + 5)2
    x + 5
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -x2 = 5x + 6
    x1 = -2,   x2 = -3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.199
    199
    999
        
25.   Solve the following equation:
  • 11
    x
    = 12
    x =
    121
    144
        
26.   Rationalize the denominator of each fraction below:
  • 5
    15
    15
    3
        
27.   Use a trigonometric ratio to find x:
x = 40.00 cm
    
28.   The sum of two consecutive even integers is 50. What are the integers? (Hint: use 2x as the first even integer)
a=24, b=26
    
29.   After you leave your house, you walk 12 blocks south and 5 blocks west. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   Each side of a square is lengthened by 4 ft. This makes the area of the square 225ft2. What is the original length of a side of the square?
  • 11 ft
        


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