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Algebra test generator



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1.   Multiply:   19 and 8? 152
    
2.   Add:   17 and -2? 15
    
3.   Divide:   -1 and 1? -1
    
4.   Substract:   -9 and -16? 7
    
5.   Calculate: |20 · 4 + -17| 63
    
6.   Simplify the following expressions:
  • 16x + 8 + -2 6+16x
        
  • 5 – 6 – -6x – -12y -1+6x+12y
        
  • -12x + 18x + -10x – 5y + 1y -4x-4y
        
  • x3 × y18 x3 × y18
        
  • x3
    x18
    x-15
        
  • (4x)5 1024x5
        
7.   Which of the following expressions show the associative property?
  • 5 + 9q + 10
  • x × ( y + 2 ) = xy + 2y
  • ( x + y ) + z = x + ( y + z )
  • -3 + 5 = 5 + -3
C
    
8.   Which properties are illustrated by the following three expressions?
  • -20 × -18 + -1 = -1 + -20 × -18
  • f + g + 0 = f + g
  • ( y + 1 ) × x = y × x + 1 × x
  • Identity property of addition, Associative property of addition and Distributive property
  • Associative property of multiplication, Identity property of addition and Commutative property of addition
  • Distributive property, Identity property of multiplication and Commutative property of addition
  • Commutative property of addition, Identity property of addition and Distributive property
D
    
9.   Solve the following equations for x:
  • -39 – -x = 81 x = 120
        
  • 1
    29
    x = -
    27
    29
    x = -27
        
  • -28 = 20x – -52 x = -4
        
  • b = -ex x = -b/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x + -35 > -29 x > 6
        
  • x ≠ 391
  • -14 > x > 30
  • -
    27
    9
    x ≥
    24
    8
    x ≤ -1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000000149 1.49 × 10-11
        
  • 57100000 5.71 × 107
        
12.   Add the following polynomials:
  • 8z10 + -9z9  and  3z9 + 1z5 + -11z1
    8z10 + -6z9 + 1z5 + -11z1
        
  • 11z19 + 13z14 + 4z13 + 1z8  and  13z19 + 5z14 + -10z13 + 14z8 + 4 24z19 + 18z14 + -6z13 + 15z8 + 4
        
13.   Multiply the following polynomials and simplify:
  • (4x2 + 8x)(9x5 + 3x3)
    36x7 + 72x6 + 12x5 + 24x4
        
  • (3x5 + 6x4)(6x5 + 3x)
    18x10 + 36x9 + 9x6 + 18x5
        
14.   Divide:
  • 10x3 + 10x2 + 10x + 10 / 2x + 2
    5x2 + 5
        
15.   Find the greatest common factor of the following terms:
  • 90, 99, 60
    3
        
  • 33xy7, 90x3y2, 30x8y9
    3xy2
        
16.   Factor the following polynomials:
  • 50x5 + 60x4 + 15x3
    50x3(x -
    -6 +
    6
    10
    )(x -
    -6 -
    6
    10
    )
        
  • x2 - 11x + 30
    (x - 5)(x - 6)
        
  • x8 + 4x7 - 12x6
    x6(x + 6)(x - 2)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    5
    and
    6


        
  • x =
    0
    ,
    -6

    and
    2
        
18.   You have 5 CDs. How many different ways can you listen to them?
  • 120
        
19.   Use the following data to construct a box and whiskers plot:
  • 17, 5, 39, 23, 3, 9, 18
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 7
  • What is the probability of getting tails and 7?
    7.14%
        
  • What is the probability of getting heads and an even number?
    21.43%
        
  • What is the probability of getting tails and a multiple of 3?
    14.29%
        
  • What is the probability of getting tails and a prime number?
    28.57%
        
  • What is the probability of not tails and not 5?
    42.86%
        
  • What is the probability of getting not heads 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 tails?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 5
    x - y = 18
    A(11.5,-6.5)
        
  • 2x - 6y = -15
    8x + 10y = -19

    B(-3.88,1.21)
        
22.   Write the following fractions in simplest form:
  • 2x9y6
    8x8y7
    x
    4y
        
  • (x - 8)4
    (x - 8)
    (x - 8)3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 42 = -11x
    x1 = -14,   x2 = 3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.3482
    3479
    9990
        
25.   Solve the following equation:
  • -
    4
    x
    = -12
    x =
    16
    144
        
26.   Rationalize the denominator of each fraction below:
  • 4
    10
    - 3
    4
    10
    + 12
        
27.   Use a trigonometric ratio to find x:
x = 23.00 cm
    
28.   The sum of two consecutive even integers is 18. What are the integers? (Hint: use 2x as the first even integer)
a=8, b=10
    
29.   After you leave your house, you walk 8 blocks south and 6 blocks east. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   A rectangle has a length 6 ft greater than its width. The area of the rectangle is 352ft2. What are the length and width of the rectangle?
  • width = 16,  length = 22
        


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