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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -7 and 12? -84
    
2.   Add:   -18 and -15? -33
    
3.   Divide:   5 and -1? -5
    
4.   Substract:   -8 and -3? -5
    
5.   Calculate: |-20 + -17 · 3 + 5| 66
    
6.   Simplify the following expressions:
  • 8 – 4x + -17x 8-21x
        
  • -12 + -7y – -10 + 15y -2+8y
        
  • -8y + 5x + 6z + -3z – -8z 5x-8y+11z
        
  • y20 × x10 × x6 x16 × y20
        
  • x12
    x-12
    x24
        
  • (8x)6 262144x6
        
7.   Which of the following expressions show the associative property?
  • 2( 6 + 7 ) = 2×6 + 2×7
  • ( 6 + 3 ) + 8 = 6 + ( 3 + 8 )
  • -6 × 5 = 5 × -6
  • ( m + n ) × 3 = 3 × ( m + n )
B
    
8.   Which properties are illustrated by the following three expressions?
  • ( o + 0 ) + n = o + ( 0 + n )
  • ( 11 + -18) × 14 = 11 × 14 + -18 × 14
  • (o + p) × q = q × (o + p)
  • Identity property of multiplication, Associative property of multiplication and Identity property of addition
  • Commutative property of addition, Associative property of multiplication and Commutative property of multiplication
  • Associative property of addition, Distributive property and Commutative property of multiplication
  • Associative property of multiplication, Associative property of addition and Commutative property of addition
C
    
9.   Solve the following equations for x:
  • 79 = -x · 79 x = -1
        
  • -
    2
    11
    x = -
    26
    11
    x = 13
        
  • -9 = 79 – 8x x = 11
        
  • -b = cx x = -b/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -10x – 11 ≤ -1 x ≥ -1
        
  • x ≠ -321
  • -51 ≥ x ≥ -46
  • 2x ≥ -22 x ≥ -11
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000922 9.22 × 10-9
        
  • 48500000000 4.85 × 1010
        
12.   Add the following polynomials:
  • 1z7 + -3z6 + 6  and  -9z6 + -5
    1z7 + -12z6 + 1
        
  • -11z13 + -2z11 + -14z6 + -12z4 + 11  and  -14z18 + 7z13 + 6z11 + -13z6 + 1 -14z18 + -4z13 + 4z11 + -27z6 + -12z4 + 12
        
13.   Multiply the following polynomials and simplify:
  • (1x + 5)3x3
    3x4 + 15x3
        
  • (10x5 + 4x3)(1x4 + 2x - 10)
    10x9 + 4x7 + 20x6 - 100x5 + 8x4 - 40x3
        
14.   Divide:
  • 2x2 - 10x + 12 / x - 3
    2x - 4
        
15.   Find the greatest common factor of the following terms:
  • 66, 75
    3
        
  • 90x10y3, 39x4y9, 42x6y6
    3x4y3
        
16.   Factor the following polynomials:
  • 8x3 + 34x2 + 36x
    8x(x +
    9
    4
    )(x + 2)
        
  • x2 - 5x - 36
    (x - 9)(x + 4)
        
  • x5 - 18x4 + 77x3
    x3(x - 11)(x - 7)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    9
    and
    -4


        
  • x =
    0
    ,
    11

    and
    7
        
18.   How many ways can 3 people wait in line?
  • 6
        
19.   Use the following data to construct a box and whiskers plot:
  • 24, 6, 18, 17, 26, 15, 25, 23, 2
        
20.   A bag contains 4 blue balls, 3 red balls, and 7 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    50.00%
        
  • A blue ball or red ball?
    50.00%
        
  • Two red balls?
    3.30%
        
  • A blue ball and a white ball?
    15.38%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -13
    x - y = -18
    A(-15.5,2.5)
        
  • 2x - 5y = 14
    9x + 5y = -15

    B(-0.09,-2.84)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x - 6)6
    (x - 6)5
    x - 6
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -x2 = 17x + 52
    x1 = -4,   x2 = -13
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.6657
    6591
    9900
        
25.   Solve the following equation:
  • -19 +
    2x - 4
    = 9
    x = 394
        
26.   Rationalize the denominator of each fraction below:
  • 10
    10
    10
    12
    30
    6
        
27.   Use a trigonometric ratio to find x:
x = 29.44 cm
    
28.   The sum of two consecutive odd integers is 32. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=15, b=17
    
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.   Each side of a square is lengthened by 4 ft. This makes the area of the square 196ft2. What is the original length of a side of the square?
  • 10 ft
        


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