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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   20 and -11? -220
    
2.   Add:   14 and -18? -4
    
3.   Divide:   16 and -16? -1
    
4.   Substract:   12 and -17? 29
    
5.   Calculate: |-1 + -16 · 7 + 9| 104
    
6.   Simplify the following expressions:
  • 9x + 9 – 5 4+9x
        
  • 12x – 4y + 2x + 18y 14x+14y
        
  • -5z + -5 + 16z + -16z – 20z + 8z -5-17z
        
  • y-16 × x-1 × y-2 x-1 × y-18
        
  • x5
    x-9
    x14
        
  • (2x4)6 64x24
        
7.   Which of the following expressions show the associative property?
  • ( x + y ) × 4 = 4 × ( y + x )
  • ( -3 × -7 ) + 9 = 9 + ( -3 × -7 )
  • ( m + n ) + p = m + ( n + p )
  • -10x + 9 = 9 + -10x
C
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × (s + 5) = s + 5
  • ( -17 + 9 ) × z = -17 × z + 9 × z
  • 0 + m + n = m + n
  • Associative property of multiplication, Commutative property of addition and Identity property of addition
  • Distributive property, Associative property of addition and Associative property of multiplication
  • Identity property of addition, Distributive property and Commutative property of multiplication
  • Identity property of multiplication, Distributive property and Identity property of addition
D
    
9.   Solve the following equations for x:
  • -x · -5 = 25 x = 5
        
  • -
    1
    10
    x = -
    27
    10
    x = 27
        
  • 27x + 4 = -77 x = -3
        
  • e = dx x = e/d
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -2x – 3 < -15 x > 6
        
  • x ≠ 841
  • 14 ≥ x ≥ 36
  • 16
    8
    x ≤
    40
    10
    x ≤ 2
        
11.   Convert the following numbers into scientific notation:
  • 0.00000301 3.01 × 10-6
        
  • 6330000 6.33 × 106
        
12.   Add the following polynomials:
  • 10z10 + 13z9 + -11z3 + -14z2 + 13z1  and  11z10 + -7z9 + 13z4 + 14z1
    21z10 + 6z9 + 13z4 + -11z3 + -14z2 + 27z1
        
  • 7z17 + -4z15 + 5z14 + 7z11 + -4z6  and  2z17 + 14z15 + 1z14 + -14z11 + 7z6 9z17 + 10z15 + 6z14 + -7z11 + 3z6
        
13.   Multiply the following polynomials and simplify:
  • (7x4 + 3)(5x5 + 5x2 + 5x)
    35x9 + 35x6 + 50x5 + 15x2 + 15x
        
  • (1x5 + 9x2)(10x2 + 10x)
    10x7 + 10x6 + 90x4 + 90x3
        
14.   Divide:
  • 5x2 + 39x - 37 / x + 9
    (5x - 6) with a remainder of 17
        
15.   Find the greatest common factor of the following terms:
  • 75, 48
    3
        
  • 45x7y10, 100x6y2
    5x6y2
        
16.   Factor the following polynomials:
  • 3x4 + 3x3 - 36x2
    3x2(x + 4)(x - 3)
        
  • x2 + 12x + 20
    (x + 2)(x + 10)
        
  • x5 + 4x4 - 32x3
    x3(x + 8)(x - 4)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -2
    and
    -10


        
  • x =
    0
    ,
    -8

    and
    4
        
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:
  • 28, 1, 25, 10, 13, 31, 9, 3, 38
        
20.   A bag contains 7 blue balls, 6 red balls, and 3 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    18.75%
        
  • A blue ball or red ball?
    81.25%
        
  • Two red balls?
    14.06%
        
  • A blue ball and a white ball?
    8.20%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 14
    x - y = 17
    A(15.5,-1.5)
        
  • 2x - 10y = 18
    2x + y = 14

    B(7.18,-0.36)
        
22.   Write the following fractions in simplest form:
  • 3x6y7
    6x7y5
    y2
    2x
        
  • x4 - 13x3 + 40x2
    x4(x - 8)
    (x - 5)
    x2
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 54 = -3x
    x1 = 6,   x2 = -9
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.1886
    1885
    9990
        
25.   Solve the following equation:
  • -
    3x - 5
    + 18 = -16
    x = 387
        
26.   Rationalize the denominator of each fraction below:
  • 1
    14
    6 +
    6
    3
    14
    -
    21
    15
        
27.   Use a trigonometric ratio to find x:
x = 14.50 cm
    
28.   The sum of two consecutive odd integers is 60. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=29, b=31
    
29.   After you leave your house, you walk 6 blocks east and 8 blocks south. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   The length of a rectangle is 4 more than twice its width. The area of the rectangle is 198ft2. What is the length and width of the rectangle?
  • width = 9,  length = 22
        


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