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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   17 and 18? 306
    
2.   Add:   -19 and -2? -21
    
3.   Divide:   -8 and 2? -4
    
4.   Substract:   6 and 8? -2
    
5.   Calculate: |-4 + -5 · 9| 49
    
6.   Simplify the following expressions:
  • -4x + 12x + 17 17+8x
        
  • -14 – -6 + -17y – -20y -8+3y
        
  • 5x + 3x + -15z – 11z – -7 7+8x-26z
        
  • y6 × y2 × y-11 y-3
        
  • x-15
    x-16
    x1
        
  • (3x4)4 81x16
        
7.   Which of the following expressions show the associative property?
  • -1 × -2 = -2 × -1
  • v × ( w + 5 ) = vw + 5w
  • -1x + 8 = 8 + -1x
  • ( m × n ) × p = m × ( n × p )
D
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × -61 = -61
  • -13 × -18 + 19 = 19 + -13 × -18
  • -6 × -10 = -6 × -10
  • Identity property of multiplication, Commutative property of addition and Commutative property of multiplication
  • Identity property of addition, Associative property of addition and Commutative property of multiplication
  • Identity property of addition, Associative property of multiplication and Distributive property
  • Associative property of addition, Commutative property of multiplication and Associative property of multiplication
A
    
9.   Solve the following equations for x:
  • 3 = -x – -58 x = 55
        
  • 15
    21
    x =
    30
    21
    x = 2
        
  • 84 = -89 – -173x x = 1
        
  • -a = bx x = -a/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -4x + -21 < -17 x > -1
        
  • x ≠ 988
  • -19 ≥ x < -77
  • -
    6
    3
    x <
    6
    3
    x > -1
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000356 3.56 × 10-9
        
  • 897000000 8.97 × 108
        
12.   Add the following polynomials:
  • 6z10 + -10z9 + 15z2  and  5z10 + 11z9 + 5z7 + -1
    11z10 + 1z9 + 5z7 + 15z2 + -1
        
  • 7z14 + 8z12 + -3z3 + -15z1 + -4  and  -6z14 + -3z12 + 5z1 + -4 1z14 + 5z12 + -3z3 + -10z1 + -8
        
13.   Multiply the following polynomials and simplify:
  • 7x3(10x5 + 5x2)
    70x8 + 35x5
        
  • (6x5 + 6x4 + 2x2)(5x4 + 5x2 + 4x)
    30x9 + 30x8 + 30x7 + 64x6 + 24x5 + 10x4 + 8x3
        
14.   Divide:
  • 4x3 + 40x2 + 8x + 80 / x + 10
    4x2 + 8
        
15.   Find the greatest common factor of the following terms:
  • 90, 60, 84
    6
        
  • 18x8y, 36xy, 84x6y5
    6xy
        
16.   Factor the following polynomials:
  • 56x3 + 98x2 + 35x
    56x(x +
    5
    4
    )(x +
    1
    2
    )
        
  • x2 + 6x - 7
    (x + 7)(x - 1)
        
  • x6 - 3x5 - 108x4
    x4(x - 12)(x + 9)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -7
    and
    1


        
  • x =
    0
    ,
    12

    and
    -9
        
18.   You are seating 5 people on 5 chairs. How many different ways can those people sit?
  • 120
        
19.   Use the following data to construct a box and whiskers plot:
  • 40, 20, 31, 10, 4, 18, 15
        
20.   A bag contains 3 blue balls, 6 red balls, and 5 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    35.71%
        
  • A blue ball or red ball?
    64.29%
        
  • Two red balls?
    18.37%
        
  • A blue ball and a white ball?
    7.65%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 5
    x - y = 13
    A(9,-4)
        
  • 6x - 6y = -7
    5x + 4y = 2

    B(-0.3,0.87)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x - 5)4
    (x - 5)6
    1
    (x - 5)2
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 15x = x2 + 50
    x1 = 5,   x2 = 10
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.1474
    1460
    9900
        
25.   Solve the following equation:
  • 32
    x
    = 4
    x = 2
        
26.   Rationalize the denominator of each fraction below:
  • 21
    5
    + 10
    -
    21
    5
    - 210
    95
        
27.   Use a trigonometric ratio to find x:
x = 13.50 cm
    
28.   The sum of two consecutive odd integers is 36. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=17, b=19
    
29.   After you leave your house, you walk 15 blocks east and 8 blocks north. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   A rectangle has an area of 330ft2. Its width is 7 ft less than its length. What are the dimensions of the rectangle?
  • width = 15,  length = 22
        


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