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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -1 and 7? -7
    
2.   Add:   -18 and 16? -2
    
3.   Divide:   12 and 2? 6
    
4.   Substract:   -17 and -4? -13
    
5.   Calculate: |-14 + -11 · -11 + -19| 88
    
6.   Simplify the following expressions:
  • 4 – -18x + -7x 4+11x
        
  • 12y – 18 + 11y + 7 -11+23y
        
  • -7x – 16x – 14z + -13z – -15x -8x-27z
        
  • y14 × y9 × y-17 × x15 x15 × y6
        
  • x12
    x5
    x7
        
  • (5x3)2 25x6
        
7.   Which of the following expressions show the associative property?
  • ( 10 × 8 ) + 2 = 2 + ( 10 × 8 )
  • -10 × -3 = -3 × -10
  • -3 × 1 = -3
  • ( 2 + 5 ) + 4 = 2 + ( 5 + 4 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • 6 + p + q = p + q + 6
  • -11 × ( 1 × 7 ) = ( -11 × 1 ) × 7
  • -19 × 20 = -19 × 20
  • Associative property of multiplication, Identity property of addition and Commutative property of addition
  • Commutative property of multiplication, Identity property of addition and Distributive property
  • Commutative property of addition, Associative property of multiplication and Commutative property of multiplication
  • Commutative property of multiplication, Associative property of addition and Distributive property
C
    
9.   Solve the following equations for x:
  • -76 + -x = 2 x = -78
        
  • 3
    2
    x =
    6
    4
    x = 1
        
  • -65 = -29x + 22 x = 3
        
  • dx – c = gx x = c/(d-g)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 2x + -30 ≤ -22 x ≤ 4
        
  • x ≠ 153
  • -60 ≥ x < -36
  • -
    16
    4
    x ≥
    32
    4
    x ≤ -2
        
11.   Convert the following numbers into scientific notation:
  • 0.000000347 3.47 × 10-7
        
  • 438000000 4.38 × 108
        
12.   Add the following polynomials:
  • 5z9 + 15z8 + -9z6 + 4z3  and  -11z9 + -3z6 + -9z4
    -6z9 + 15z8 + -12z6 + -9z4 + 4z3
        
  • -8z20 + 14z17 + -3z11  and  5z17 + 12z11 + 8z2 -8z20 + 19z17 + 9z11 + 8z2
        
13.   Multiply the following polynomials and simplify:
  • (9x5 + 4x2)(8x3 + 8x2 + 3x)
    72x8 + 72x7 + 27x6 + 32x5 + 32x4 + 12x3
        
  • (4x4 + 4x3)(9x3 + 9x2 + 8x)
    36x7 + 72x6 + 68x5 + 32x4
        
14.   Divide:
  • 8x3 + 14x2 + 8x + 14 / 4x + 7
    2x2 + 2
        
15.   Find the greatest common factor of the following terms:
  • 66, 39
    3
        
  • 27x9y8, 60y6, 45x2y2
    3y2
        
16.   Factor the following polynomials:
  • 24x3 + 37x2 + 13x
    24x(x +
    13
    24
    )(x + 1)
        
  • x2 + x - 6
    (x - 2)(x + 3)
        
  • x8 - 6x7 - 72x6
    x6(x + 6)(x - 12)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    2
    and
    -3


        
  • x =
    0
    ,
    -6

    and
    12
        
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:
  • 37, 4, 20, 26, 22, 12, 10, 9, 18, 34
        
20.   A bag contains 6 blue balls, 3 red balls, and 3 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    25.00%
        
  • A blue ball or red ball?
    75.00%
        
  • Two red balls?
    4.55%
        
  • A blue ball and a white ball?
    13.64%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -6
    x - y = 9
    A(1.5,-7.5)
        
  • 2x - y = 19
    2x + 4y = 7

    B(8.3,-2.4)
        
22.   Write the following fractions in simplest form:
  • 16x9y2
    4x8y
    4xy
        
  • x8 - 9x7 + 18x6
    x3(x - 3)
    x3(x - 6)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -30x - 99 = -x2
    x1 = -3,   x2 = 33
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.450
    446
    990
        
25.   Solve the following equation:
  • -
    6
    x
    = -8
    x =
    36
    64
        
26.   Rationalize the denominator of each fraction below:
  • 15
    3
    - 21
    -
    5
    3
    + 105
    146
        
27.   Use a trigonometric ratio to find x:
x = 21.21 cm
    
28.   The sum of two consecutive odd integers is 20. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=9, b=11
    
29.   After you leave your house, you walk 12 blocks west and 9 blocks north. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   The sides of a square are increased by 3 ft. The area of the newly created square is 289ft2. What was the original length of one side of the square?
  • 14 ft
        


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