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Algebra test generator



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(current difficulty level: Easy)

                           

Solve the following problems:

Important instructions

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1.   Multiply:   14 and -3? -42
    
2.   Add:   2 and -12? -10
    
3.   Divide:   -2 and -2? 1
    
4.   Substract:   16 and 6? 10
    
5.   Calculate: |-17 + 7 · 17| 102
    
6.   Simplify the following expressions:
  • 10 – 17 + 1x -7+1x
        
  • -20 + -11x – -4x – -19x -20+12x
        
  • 15 – -2x + 9y + 13 – -9y 28+2x+18y
        
  • x1 × x2 × x-6 x-3
        
  • x19
    x7
    x12
        
  • (2x)6 64x6
        
7.   Which of the following expressions show the associative property?
  • -3 × ( x + 6 + 8 ) = -3×x + -3×6 + -3×8
  • 2 + 6c + 5
  • -8 × 1 = -8
  • ( 3 + 7 ) + 6 = 3 + ( 7 + 6 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • x × ( y + 1 ) = x × y + x × 1
  • (y + 3) × (z + 8) = (z + 8) × (y + 3)
  • ( t + 0 ) + s = t + ( 0 + s )
  • Identity property of addition, Commutative property of addition and Associative property of addition
  • Distributive property, Commutative property of multiplication and Associative property of addition
  • Associative property of multiplication, Identity property of multiplication and Commutative property of addition
  • Commutative property of addition, Associative property of multiplication and Commutative property of multiplication
B
    
9.   Solve the following equations for x:
  • -52 = -76 – -x x = 24
        
  • 15
    17
    = -
    5
    17
    x x = -3
        
  • -40 = 54 + -47x x = 2
        
  • ax = b x = b/a
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -9x + -35 < 10 x > -5
        
  • x ≠ -818
  • -38 > x ≤ 56
  • -
    38
    19
    x > -
    24
    2
    x < 6
        
11.   Convert the following numbers into scientific notation:
  • 0.0000130 1.3 × 10-5
        
  • 472000000000 4.72 × 1011
        
12.   Add the following polynomials:
  • -2z8 + -2z7 + 11  and  2z8 + 12z4
    -2z7 + 12z4 + 11
        
  • 10z15 + 15z5 + -8z1  and  5z15 + -5z13 + -15z4 15z15 + -5z13 + 15z5 + -15z4 + -8z1
        
13.   Multiply the following polynomials and simplify:
  • -6(4x4 + 7x3 + 3x)
    -24x4 - 42x3 - 18x
        
  • (2x3 + 5x - 9)(2x2 + 9x)
    4x5 + 18x4 + 10x3 + 27x2 - 81x
        
14.   Divide:
  • 25x3 + 20x2 - 10x - 8 / 5x + 4
    5x2 - 2
        
15.   Find the greatest common factor of the following terms:
  • 39, 99, 66
    3
        
  • 55x9y3, 100x9y7
    5x9y3
        
16.   Factor the following polynomials:
  • 21x4 + 70x3 - 91x2
    21x2(x +
    13
    3
    )(x - 1)
        
  • x2 + 16x + 63
    (x + 9)(x + 7)
        
  • x7 + 21x6 + 90x5
    x5(x + 6)(x + 15)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -9
    and
    -7


        
  • x =
    0
    ,
    -6

    and
    -15
        
18.   You have 4 pants, 5 shirts, and 4 shoes. How many different ways can you dress?
  • 80
        
19.   Use the following data to construct a box and whiskers plot:
  • 17, 16, 3, 1, 24, 5, 9, 12
        
20.   A bag contains 3 blue balls, 5 red balls, and 2 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    20.00%
        
  • A blue ball or red ball?
    80.00%
        
  • Two red balls?
    22.22%
        
  • A blue ball and a white ball?
    6.67%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 16
    x - y = 20
    A(18,-2)
        
  • 8x - 4y = -16
    14x + 8y = 2

    B(-1,2)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x - 2)4
    (x - 2)2
    (x - 2)2
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 99 = x2 - 30x
    x1 = 33,   x2 = -3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.258
    258
    999
        
25.   Solve the following equation:
  • 3x - 2
    + 13 = 20
    x = 17
        
26.   Rationalize the denominator of each fraction below:
  • 9
    25
    9
    5
        
27.   Use a trigonometric ratio to find x:
x = 34.00 cm
    
28.   The sum of two consecutive even integers is 54. What are the integers? (Hint: use 2x as the first even integer)
a=26, b=28
    
29.   After you leave your house, you walk 6 blocks north and 8 blocks west. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   A rectangle has a length 9 m greater than its width. The area of the rectangle is 400m2. What are the length and width of the rectangle?
  • width = 16,  length = 25
        


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