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Algebra test generator



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(current difficulty level: Easy)

                           

Solve the following problems:

Important instructions

(or click here to generate a new test)
1.   Multiply:   2 and -1? -2
    
2.   Add:   16 and -10? 6
    
3.   Divide:   -20 and -1? 20
    
4.   Substract:   -7 and -9? 2
    
5.   Calculate: |-5 · -7 + 1| 36
    
6.   Simplify the following expressions:
  • 7 + 13x + -4 3+13x
        
  • 9y + 19 + -13 – 13y 6-4y
        
  • 16z – -6 + 10x + -20 + 16x + -17z -14+26x-1z
        
  • y-12 × x-20 × y-6 × x-5 x-25 × y-18
        
  • x-3
    x11
    x-14
        
  • (8x)8 16777216x8
        
7.   Which of the following expressions show the associative property?
  • -9x + 5 = 5 + -9x
  • -9 × 1 = -9
  • a + b = b + a
  • ( 9 × 7 ) × 3 = 9 × ( 7 × 3 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • ( p + q ) × o = p × o + q × o
  • ( -11 + 11 ) + -3 = -11 + ( 11 + -3 )
  • -9y + 6 = 6 + -9y
  • Distributive property, Associative property of addition and Commutative property of addition
  • Commutative property of addition, Identity property of addition and Associative property of addition
  • Associative property of multiplication, Associative property of addition and Identity property of multiplication
  • Commutative property of addition, Commutative property of multiplication and Identity property of addition
A
    
9.   Solve the following equations for x:
  • 20 + x = -3 x = -23
        
  • -
    8
    5
    x = -
    16
    5
    x = 2
        
  • -83x – 98 = -15 x = -1
        
  • fx = -a x = -a/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -5x – 22 > 18 x < -8
        
  • x ≠ -379
  • -86 ≤ x ≤ -23
  • 7x >
    21
    3
    x > 1
        
11.   Convert the following numbers into scientific notation:
  • 0.00000972 9.72 × 10-6
        
  • 3020000 3.02 × 106
        
12.   Add the following polynomials:
  • -12z9 + 2z2 + 13  and  3z9 + -10
    -9z9 + 2z2 + 3
        
  • 14z11 + -15z4 + 2z3  and  12z11 + -1z4 + -8z3 26z11 + -16z4 + -6z3
        
13.   Multiply the following polynomials and simplify:
  • (4x4 + 8x2 - 10)(10x5 + 10x + 10)
    40x9 + 80x7 - 60x5 + 40x4 + 80x3 + 80x2 - 100x - 100
        
  • (7x4 + 4x2 + 8x)(7x3 + 3x2)
    49x7 + 21x6 + 28x5 + 68x4 + 24x3
        
14.   Divide:
  • 2x3 + 4x2 - 16x - 32 / 2x + 4
    x2 - 8
        
15.   Find the greatest common factor of the following terms:
  • 60, 55
    5
        
  • 33x10y2, 54x6y, 24x3y6
    3x3y
        
16.   Factor the following polynomials:
  • 28x3 + 44x2 + 16x
    28x(x +
    4
    7
    )(x + 1)
        
  • x2 + 15x + 56
    (x + 8)(x + 7)
        
  • x8 - 4x7 - 77x6
    x6(x + 7)(x - 11)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -8
    and
    -7


        
  • x =
    0
    ,
    -7

    and
    11
        
18.   You have 2 pants, 3 shirts, and 2 shoes. How many different ways can you dress?
  • 12
        
19.   Use the following data to construct a box and whiskers plot:
  • 6, 32, 16, 14, 7, 19, 39, 27
        
20.   A bag contains 2 blue balls, 4 red balls, and 3 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    33.33%
        
  • A blue ball or red ball?
    66.67%
        
  • Two red balls?
    16.67%
        
  • A blue ball and a white ball?
    8.33%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -6
    x - y = -9
    A(-7.5,1.5)
        
  • 3x - 4y = -5
    4x + 2y = -18

    B(-3.73,-1.55)
        
22.   Write the following fractions in simplest form:
  • 19x2y4
    76x10y4
    1
    4x8
        
  • x6(x + 10)
    x7 + 9x6 - 10x5
    x
    (x - 1)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -66 = x2 - 25x
    x1 = 22,   x2 = 3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 9.74
    965
    99
        
25.   Solve the following equation:
  • 2x - 8
    - 12 = 12
    x = 292
        
26.   Rationalize the denominator of each fraction below:
  • 3
    15
    + 2
    3
    15
    - 6
    11
        
27.   Use a trigonometric ratio to find x:
x = 21.21 cm
    
28.   The sum of two consecutive even integers is 30. What are the integers? (Hint: use 2x as the first even integer)
a=14, b=16
    
29.   After you leave your house, you walk 8 blocks south and 6 blocks west. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   The sides of a square are increased by 5 m. The area of the newly created square is 196m2. What was the original length of one side of the square?
  • 9 m
        


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