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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   10 and -19? -190
    
2.   Add:   -10 and 4? -6
    
3.   Divide:   10 and 1? 10
    
4.   Substract:   -3 and -1? -2
    
5.   Calculate: |15 · -5 + 19 · -1| 94
    
6.   Simplify the following expressions:
  • -3x – 11x – 6x -20x
        
  • 6y – 3y – 4y – -10y 9y
        
  • -7y – -6y + 3x + -18 – -11z + -11z -18+3x-1y
        
  • y-1 × y5 y4
        
  • x-19
    x-9
    x-10
        
  • (6x5)2 36x10
        
7.   Which of the following expressions show the associative property?
  • v × ( w + 5 ) = vw + 5w
  • ( m × n ) × p = m × ( n × p )
  • 8 × ( x + 6 + 2 ) = 8×x + 8×6 + 8×2
  • 1( 9 + 5 ) = 1×9 + 1×5
B
    
8.   Which properties are illustrated by the following three expressions?
  • -19 + ( 6 + -6 ) = ( -19 + 6 ) + -6
  • 0 + -11 = -11
  • -12 × ( -9 + 13) = -12 × -9 + -12 × 13
  • Associative property of addition, Identity property of addition and Distributive property
  • Distributive property, Commutative property of multiplication and Associative property of multiplication
  • Associative property of addition, Identity property of multiplication and Identity property of addition
  • Associative property of multiplication, Commutative property of multiplication and Commutative property of addition
A
    
9.   Solve the following equations for x:
  • -80 = -54 + x x = -26
        
  • -
    27
    12
    =
    9
    4
    x x = -1
        
  • -5x + -53 = -88 x = 7
        
  • gx = -f x = -f/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 5x + -4 ≤ 1 x ≤ 1
        
  • x ≠ 713
  • -88 > x < -29
  • -
    21
    7
    x < -9 x > 3
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000413 4.13 × 10-10
        
  • 15900000 1.59 × 107
        
12.   Add the following polynomials:
  • 9z10 + -7z7 + 9z6 + -10z3 + -1z1  and  14z10 + 10z5 + 12
    23z10 + -7z7 + 9z6 + 10z5 + -10z3 + -1z1 + 12
        
  • 14z20 + 2z10 + 8z7 + 9z6 + -9z3  and  -13z10 + -14z8 + 3z5 + 12z3 14z20 + -11z10 + -14z8 + 8z7 + 9z6 + 3z5 + 3z3
        
13.   Multiply the following polynomials and simplify:
  • (3x + 4)(6x3 + 8x2)
    18x4 + 48x3 + 32x2
        
  • (7x4 + 8)(1x5 + 9x4 + 6x)
    7x9 + 63x8 + 50x5 + 72x4 + 48x
        
14.   Divide:
  • 5x3 + 8x2 - 15x - 24 / 5x + 8
    x2 - 3
        
15.   Find the greatest common factor of the following terms:
  • 40, 100, 10
    10
        
  • 22x10y5, 48x9y6, 45x2y9
    x2y5
        
16.   Factor the following polynomials:
  • 20x4 + 74x3 - 24x2
    20x2(x + 4)(x -
    3
    10
    )
        
  • x2 + 14x + 48
    (x + 8)(x + 6)
        
  • x7 + x6 - 2x5
    x5(x + 2)(x - 1)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -8
    and
    -6


        
  • x =
    0
    ,
    -2

    and
    1
        
18.   You are seating 4 people on 4 chairs. How many different ways can those people sit?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 35, 27, 32, 20, 9, 8, 16, 12
        
20.   A bag contains 5 blue balls, 2 red balls, and 4 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    36.36%
        
  • A blue ball or red ball?
    63.64%
        
  • Two red balls?
    3.31%
        
  • A blue ball and a white ball?
    16.53%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 5
    x - y = -9
    A(-2,7)
        
  • 6x - 6y = 12
    8x + 2y = 13

    B(1.7,-0.3)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x - 8)6
    (x - 8)7
    1
    x - 8
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -21x + 90 = -x2
    x1 = 15,   x2 = 6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 6.2
    56
    9
        
25.   Solve the following equation:
  • 8
    x
    - 8 = 16
    x
    - 16
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 9
    21
    21 +
    10
    189
    21
    - 9
    210
    431
        
27.   Use a trigonometric ratio to find x:
x = 36.00 cm
    
28.   The sum of two consecutive even integers is 38. What are the integers? (Hint: use 2x as the first even integer)
a=18, b=20
    
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.   A rectangle has an area of 360ft2. Its width is 9 ft less than its length. What are the dimensions of the rectangle?
  • width = 15,  length = 24
        


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