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Algebra test generator



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1.   Multiply:   -6 and -15? 90
    
2.   Add:   4 and 8? 12
    
3.   Divide:   1 and -1? -1
    
4.   Substract:   13 and 19? -6
    
5.   Calculate: |-7 · 12 + -1 · 8| 92
    
6.   Simplify the following expressions:
  • -8 + 6x + -14x -8-8x
        
  • -18 + 1y – -9x + -16y -18+9x-15y
        
  • 19x – -5z + 20z – -20x + 3y 39x+3y+25z
        
  • y-14 × x-19 × x14 x-5 × y-14
        
  • x18
    x-10
    x28
        
  • (5x4)6 15625x24
        
7.   Which of the following expressions show the associative property?
  • 5 × ( x + 4 + 6 ) = 5×x + 5×4 + 5×6
  • 4 × 1 = 4
  • ( 3 + 7 ) + 2 = 3 + ( 7 + 2 )
  • a + b = b + a
C
    
8.   Which properties are illustrated by the following three expressions?
  • m + ( n + 0 ) = ( m + n ) + 0
  • 0 + -65 = -65
  • 1 × (o + p + q) = o + p + q
  • Associative property of addition, Identity property of addition and Identity property of multiplication
  • Associative property of multiplication, Commutative property of multiplication and Identity property of multiplication
  • Commutative property of addition, Identity property of multiplication and Identity property of addition
  • Commutative property of addition, Associative property of addition and Identity property of addition
A
    
9.   Solve the following equations for x:
  • -45 – x = 14 x = -59
        
  • -
    1
    4
    x =
    30
    8
    x = -15
        
  • -100 = -66 – 34x x = 1
        
  • -e = dx x = -e/d
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -39x – -14 > -25 x < 1
        
  • x ≠ -724
  • 28 ≥ x > 45
  • 39
    13
    x < -
    27
    3
    x < -3
        
11.   Convert the following numbers into scientific notation:
  • 0.00000112 1.12 × 10-6
        
  • 52600000000 5.26 × 1010
        
12.   Add the following polynomials:
  • -4z8 + -1z1  and  -11z8 + 9z2 + 7z1 + -5
    -15z8 + 9z2 + 6z1 + -5
        
  • -15z15 + 14z11 + 14z7 + -11  and  -5z15 + 7z11 + 4z7 + -2 -20z15 + 21z11 + 18z7 + -13
        
13.   Multiply the following polynomials and simplify:
  • (9x4 + 4x2 + 10x)(1x3 + 10x2 - 4)
    9x7 + 90x6 + 4x5 + 14x4 + 100x3 - 16x2 - 40x
        
  • (4x - 5)(6x5 + x4)
    24x6 - 26x5 - 5x4
        
14.   Divide:
  • 20x2 - 90x + 100 / 4x - 10
    5x - 10
        
15.   Find the greatest common factor of the following terms:
  • 15, 72, 63
    3
        
  • 84x8y9, 36x2y4
    12x2y4
        
16.   Factor the following polynomials:
  • 63x4 - 78x3 + 15x2
    63x2(x - 1)(x -
    5
    21
    )
        
  • x2 - 7x - 8
    (x - 8)(x + 1)
        
  • x5 + 21x4 + 110x3
    x3(x + 11)(x + 10)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    8
    and
    -1


        
  • x =
    0
    ,
    -11

    and
    -10
        
18.   You are seating 7 people on 7 chairs. How many different ways can those people sit?
  • 5040
        
19.   Use the following data to construct a box and whiskers plot:
  • 30, 35, 11, 16, 7, 33, 12, 38
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 11
  • What is the probability of getting heads and 1?
    4.55%
        
  • What is the probability of getting tails and an even number?
    22.73%
        
  • What is the probability of getting tails and a multiple of 3?
    13.64%
        
  • What is the probability of getting heads and a prime number?
    22.73%
        
  • What is the probability of not tails and not 6?
    45.45%
        
  • 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 heads?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 1
    x - y = -2
    A(-0.5,1.5)
        
  • 2x - 5y = 8
    4x + 4y = 16

    B(4,0)
        
22.   Write the following fractions in simplest form:
  • 18x5y8
    54x6y5
    y3
    3x
        
  • (x2 + 14x + 49)
    (x + 7)
    x + 7
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 12x = 45
    x1 = -15,   x2 = 3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.226
    2240
    9900
        
25.   Solve the following equation:
  • -20 +
    4x + 1
    = 9
    x = 210
        
26.   Rationalize the denominator of each fraction below:
  • 25
    21
    + 10
    -
    25
    21
    - 250
    79
        
27.   Use a trigonometric ratio to find x:
x = 18.48 cm
    
28.   The sum of two consecutive odd integers is 56. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=27, b=29
    
29.   After you leave your house, you walk 12 blocks west and 5 blocks south. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   A rectangle has a length 3 ft greater than its width. The area of the rectangle is 238ft2. What are the length and width of the rectangle?
  • width = 14,  length = 17
        


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