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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 -13? -221
    
2.   Add:   11 and 11? 22
    
3.   Divide:   -20 and 10? -2
    
4.   Substract:   -17 and -14? -3
    
5.   Calculate: |13 + 4 · -1| 9
    
6.   Simplify the following expressions:
  • 12 + 11x + 6x 12+17x
        
  • 4x + 7y – 16y + 13x 17x-9y
        
  • -2x + -16y + -11y + -14x + 1 1-16x-27y
        
  • y-15 × x-2 × y-19 × y-9 x-2 × y-43
        
  • x-20
    x-4
    x-16
        
  • (7x2)5 16807x10
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) + 6 = 6 + ( m × n )
  • 7x + 1 = 1 + 7x
  • ( m × n ) × p = m × ( n × p )
  • ( x × y ) + 9 = 9 + ( y × x )
C
    
8.   Which properties are illustrated by the following three expressions?
  • ( v × 1 ) × u = v × ( 1 × u )
  • -10 + ( -9 + 16 ) = ( -10 + -9 ) + 16
  • y + 1 × 5 = 1 × 5 + y
  • Commutative property of multiplication, Commutative property of addition and Associative property of addition
  • Associative property of multiplication, Associative property of addition and Commutative property of addition
  • Identity property of addition, Associative property of multiplication and Commutative property of multiplication
  • Commutative property of addition, Commutative property of multiplication and Identity property of addition
B
    
9.   Solve the following equations for x:
  • x · 4 = -76 x = -19
        
  • 1
    11
    x = -
    16
    11
    x = -16
        
  • 79x – -54 = -25 x = -1
        
  • b – fx = ax x = b/(f+a)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x + -39 ≤ -14 x ≤ 25
        
  • x ≠ -856
  • -51 ≤ x > 70
  • -2x >
    24
    12
    x < -1
        
11.   Convert the following numbers into scientific notation:
  • 0.000000334 3.34 × 10-7
        
  • 2740000 2.74 × 106
        
12.   Add the following polynomials:
  • 9z10 + -14z4 + -15z3 + 11z1  and  9z9 + 6z4 + -13z3
    9z10 + 9z9 + -8z4 + -28z3 + 11z1
        
  • 4z15 + -6z13 + 7z11 + 3z9  and  -14z19 + 1z13 + -12z11 + -8z9 -14z19 + 4z15 + -5z13 + -5z11 + -5z9
        
13.   Multiply the following polynomials and simplify:
  • (6x5 + 10x4 + 6x)-5
    -30x5 - 50x4 - 30x
        
  • (1x5 + 10x3 + 3x)(9x3 + 10x2 - 7)
    9x8 + 10x7 + 90x6 + 93x5 + 27x4 - 40x3 - 21x
        
14.   Divide:
  • x2 + 9x + 29 / x + 7
    (x + 2) with a remainder of 15
        
15.   Find the greatest common factor of the following terms:
  • 77, 33
    11
        
  • 48x7, 72xy2
    24x
        
16.   Factor the following polynomials:
  • 6x5 - 55x4 + 34x3
    6x3(x -
    2
    3
    )(x -
    17
    2
    )
        
  • x2 - 8x + 12
    (x - 6)(x - 2)
        
  • x8 + 14x7 + 33x6
    x6(x + 11)(x + 3)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    6
    and
    2


        
  • x =
    0
    ,
    -11

    and
    -3
        
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:
  • 25, 33, 30, 40, 31, 21, 32, 12, 28
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 17
  • What is the probability of getting heads and 10?
    2.94%
        
  • What is the probability of getting tails and an odd number?
    23.53%
        
  • What is the probability of getting heads and a multiple of 6?
    5.88%
        
  • What is the probability of getting heads and a prime number?
    20.59%
        
  • What is the probability of not tails and not 12?
    47.06%
        
  • 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 tails?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 12
    x - y = -13
    A(-0.5,12.5)
        
  • 9x - 6y = 9
    5x + 10y = 1

    B(0.8,-0.3)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 - 4x + 4)
    (x - 2)
    x - 2
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -x2 = -4x - 77
    x1 = 11,   x2 = -7
        
24.   Convert the following repeating decimal into a fraction:
  • x = 9.265
    9256
    999
        
25.   Solve the following equation:
  • 15
    x
    + 11 = 19
    x
    + 7
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 6
    2
    9 +
    15
    9
    2
    -
    30
    11
        
27.   Use a trigonometric ratio to find x:
x = 26.00 cm
    
28.   The sum of two consecutive even integers is 58. What are the integers? (Hint: use 2x as the first even integer)
a=28, b=30
    
29.   After you leave your house, you walk 5 blocks south and 12 blocks west. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   A rectangle has an area of 40ft2. Its width is 3 ft less than its length. What are the dimensions of the rectangle?
  • width = 5,  length = 8
        


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