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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   13 and -6? -78
    
2.   Add:   1 and -17? -16
    
3.   Divide:   12 and 3? 4
    
4.   Substract:   7 and 12? -5
    
5.   Calculate: |-9 + -18 · -18| 315
    
6.   Simplify the following expressions:
  • -14x + -4x + 8x -10x
        
  • -14y – 15 – -2x + -7x -15-5x-14y
        
  • 10 – -7z + 13 + -16y + -17y 23-33y+7z
        
  • x10 × y16 × y-14 × y6 x10 × y8
        
  • x-14
    x-18
    x4
        
  • (3x5)9 19683x45
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) + 2 = 2 + ( m × n )
  • ( m × n ) × p = m × ( n × p )
  • 0 + 9x = 9x
  • 2x + -10 = -10 + 2x
B
    
8.   Which properties are illustrated by the following three expressions?
  • 7 × ( -12 × 11 ) = ( 7 × -12 ) × 11
  • 1 × (d + e + f) = d + e + f
  • -17 × 1 = -17 × 1
  • Commutative property of multiplication, Identity property of addition and Associative property of multiplication
  • Commutative property of addition, Distributive property and Associative property of multiplication
  • Identity property of addition, Commutative property of addition and Commutative property of multiplication
  • Associative property of multiplication, Identity property of multiplication and Commutative property of multiplication
D
    
9.   Solve the following equations for x:
  • 98 = -1 + -x x = -99
        
  • -
    19
    2
    =
    19
    2
    x x = -1
        
  • -37 + -43x = -80 x = 1
        
  • bx = a x = a/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x + -30 ≤ 23 x ≤ 53
        
  • x ≠ 110
  • -39 ≥ x < 87
  • 30
    10
    x ≤
    6
    2
    x ≤ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000233 2.33 × 10-10
        
  • 16100000000 1.61 × 1010
        
12.   Add the following polynomials:
  • -5z8 + 10z4 + 13z2 + -9z1  and  -4z5 + -8z1
    -5z8 + -4z5 + 10z4 + 13z2 + -17z1
        
  • 14z20 + 7z16 + -9z1  and  -15z20 + 4z16 + -13z13 + -9z1 -1z20 + 11z16 + -13z13 + -18z1
        
13.   Multiply the following polynomials and simplify:
  • (9x - 5)(2x3 + x - 6)
    18x4 - 10x3 + 9x2 - 59x + 30
        
  • (1x4 + 2x3)(8x5 + 3x2)
    8x9 + 16x8 + 3x6 + 6x5
        
14.   Divide:
  • x3 + 7x2 + 10x + 70 / x + 7
    x2 + 10
        
15.   Find the greatest common factor of the following terms:
  • 81, 100, 52
    1
        
  • 90x2y3, 40x8y8
    10x2y3
        
16.   Factor the following polynomials:
  • 43x3 - 86x2 + 43x
    43x(x - 1)(x - 1)
        
  • x2 + 7x - 8
    (x + 8)(x - 1)
        
  • x6 - 8x5 - 33x4
    x4(x + 3)(x - 11)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -8
    and
    1


        
  • x =
    0
    ,
    -3

    and
    11
        
18.   You have 3 pants, 4 shirts, and 2 shoes. How many different ways can you dress?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 17, 2, 4, 33, 19, 10, 29
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 5
  • What is the probability of getting tails and 2?
    10.00%
        
  • What is the probability of getting tails and an odd number?
    20%
        
  • What is the probability of getting heads and a multiple of 2?
    20%
        
  • What is the probability of getting heads and a prime number?
    30%
        
  • What is the probability of not tails and not 4?
    40%
        
  • 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 = 2
    x - y = 7
    A(4.5,-2.5)
        
  • 5x - 4y = 1
    9x + y = 10

    B(1,1)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 + 10x + 25)
    (x + 5)
    x + 5
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -10 = x2 - 11x
    x1 = 10,   x2 = 1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 1.94
    193
    99
        
25.   Solve the following equation:
  • 2 +
    x + 6
    = 17
    x = 219
        
26.   Rationalize the denominator of each fraction below:
  • 5
    10
    7 +
    6
    35
    10
    - 10
    15
    43
        
27.   Use a trigonometric ratio to find x:
x = 12.00 cm
    
28.   The sum of two consecutive odd integers is 24. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=11, b=13
    
29.   After you leave your house, you walk 3 blocks west and 4 blocks south. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   A rectangle has a length 7 m greater than its width. The area of the rectangle is 170m2. What are the length and width of the rectangle?
  • width = 10,  length = 17
        


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