Algebra test generator. Unlimited practices. Sharpen your algebra skills! Answers and solutions.
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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:   1 and 3? 3
    
2.   Add:   -10 and 2? -8
    
3.   Divide:   -20 and 2? -10
    
4.   Substract:   -16 and 5? -21
    
5.   Calculate: |-3 · 4 + -15 · 16| 252
    
6.   Simplify the following expressions:
  • 3x – -1x – 17x -13x
        
  • 17y + 20 + -10y + -13 7+7y
        
  • -13 + 18z + -4 – 9x + -5z -17-9x+13z
        
  • y-10 × x20 × y-13 x20 × y-23
        
  • x-8
    x7
    x-15
        
  • (5x4)6 15625x24
        
7.   Which of the following expressions show the associative property?
  • 5 + 2k + 3
  • 6( 4 + 5 ) = 6×4 + 6×5
  • ( x + y ) + z = x + ( y + z )
  • ( x + y ) × 9 = 9 × ( y + x )
C
    
8.   Which properties are illustrated by the following three expressions?
  • i + j + 0 = i + j
  • 3 + ( -13 + 15 ) = ( 3 + -13 ) + 15
  • (y + 3) × (x + -3) = (x + -3) × (y + 3)
  • Identity property of addition, Associative property of addition and Commutative property of multiplication
  • Commutative property of addition, Identity property of multiplication and Commutative property of multiplication
  • Commutative property of multiplication, Associative property of multiplication and Identity property of multiplication
  • Commutative property of multiplication, Identity property of addition and Associative property of multiplication
A
    
9.   Solve the following equations for x:
  • 4 · -x = 44 x = -11
        
  • 29
    4
    x = -
    29
    4
    x = -1
        
  • -32x – 92 = 100 x = -6
        
  • cx = -a x = -a/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 13x – -39 > 26 x > -1
        
  • x ≠ -959
  • 44 ≥ x < 99
  • 3x < 27 x < 9
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000000230 2.3 × 10-11
        
  • 79700000 7.97 × 107
        
12.   Add the following polynomials:
  • 14z6 + 2z5 + 15z2 + -14z1  and  14z5 + -11z1
    14z6 + 16z5 + 15z2 + -25z1
        
  • -1z15 + -6z13 + 5z5  and  -5z20 + 10z17 + 9z15 + -7z5 + 10z3 -5z20 + 10z17 + 8z15 + -6z13 + -2z5 + 10z3
        
13.   Multiply the following polynomials and simplify:
  • 10x4(2x5 + x)
    20x9 + 10x5
        
  • (7x5 + 4x4 - 6)(10x3 + 6x)
    70x8 + 40x7 + 42x6 + 24x5 - 60x3 - 36x
        
14.   Divide:
  • 12x3 - 3x2 - 16x + 4 / 4x - 1
    3x2 - 4
        
15.   Find the greatest common factor of the following terms:
  • 75, 90
    15
        
  • 10x4y, 78x6y
    2x4y
        
16.   Factor the following polynomials:
  • 10x4 + 30x3 - 40x2
    10x2(x - 1)(x + 4)
        
  • x2 + 7x + 6
    (x + 6)(x + 1)
        
  • x5 - 4x4 - 45x3
    x3(x - 9)(x + 5)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -6
    and
    -1


        
  • x =
    0
    ,
    9

    and
    -5
        
18.   You have 4 books to read. How many different ways can you read your books?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 9, 23, 21, 29, 33, 16, 28
        
20.   A bag contains 3 blue balls, 6 red balls, and 6 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    40.00%
        
  • A blue ball or red ball?
    60.00%
        
  • Two red balls?
    14.29%
        
  • A blue ball and a white ball?
    8.57%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 9
    x - y = 19
    A(14,-5)
        
  • 5x - y = 15
    x + 14y = 3

    B(3,0)
        
22.   Write the following fractions in simplest form:
  • 40xy5
    10x6y6
    4
    x5y
        
  • (x - 1)
    (x2 - 2x + 1)
    1
    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.
  • -x2 = -12x + 27
    x1 = 3,   x2 = 9
        
24.   Convert the following repeating decimal into a fraction:
  • x = 6.5
    59
    9
        
25.   Solve the following equation:
  • 14
    x
    = 14
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 14
    10
    15
    6
    14
    15
    45
        
27.   Use a trigonometric ratio to find x:
x = 13.86 cm
    
28.   The sum of two consecutive even integers is 42. What are the integers? (Hint: use 2x as the first even integer)
a=20, b=22
    
29.   After you leave your house, you walk 16 blocks south and 12 blocks east. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   Each side of a square is decreased by 6 ft. The area of the newly created square is 81ft2. What was the original length of one side of the square?
  • 15 ft
        


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