Time
02 : 30 : 00

Algebra test generator



Name _____________________                                        Date:_____________________


current difficulty level: Choose test difficulty:         Easy              Challenging
(current difficulty level: Easy)

                           

Solve the following problems:

Important instructions

(or click here to generate a new test)
1.   Multiply:   -5 and -7? 35
    
2.   Add:   -1 and -11? -12
    
3.   Divide:   16 and -2? -8
    
4.   Substract:   15 and 3? 12
    
5.   Calculate: |-12 + 1 · 20 + -5| 3
    
6.   Simplify the following expressions:
  • -15x – -12x – -4 4-3x
        
  • -9x + -2x – 13y – -8x -3x-13y
        
  • 10z – 10 + -14z + -2x + 13x -10+11x-4z
        
  • y-6 × x-10 × x-19 x-29 × y-6
        
  • x-7
    x1
    x-8
        
  • (8x)9 134217728x9
        
7.   Which of the following expressions show the associative property?
  • ( x × y ) × z = x × ( y × z )
  • w × ( x + 8 ) = wx + 8x
  • 7 + 9l + 6
  • 0 + -1x = -1x
A
    
8.   Which properties are illustrated by the following three expressions?
  • (x + y + z) × 1 = x + y + z
  • (9 + x) × 10 = 10 × (9 + x)
  • ( -12 + 2) × 11 = -12 × 11 + 2 × 11
  • Associative property of addition, Commutative property of addition and Associative property of multiplication
  • Identity property of multiplication, Commutative property of multiplication and Distributive property
  • Commutative property of addition, Commutative property of multiplication and Associative property of addition
  • Identity property of addition, Commutative property of addition and Distributive property
B
    
9.   Solve the following equations for x:
  • -79 – x = -71 x = -8
        
  • 15
    22
    =
    1
    22
    x x = 15
        
  • -81 = 46x + -35 x = -1
        
  • -ex = c x = -c/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – 1 ≥ 10 x ≤ -11
        
  • x ≠ 807
  • -92 > x ≥ -2
  • 6
    2
    x >
    30
    2
    x > 5
        
11.   Convert the following numbers into scientific notation:
  • 0.000000255 2.55 × 10-7
        
  • 650000 6.5 × 105
        
12.   Add the following polynomials:
  • -12z6 + -3z1  and  -12z6 + 13z1
    -24z6 + 10z1
        
  • 10z16 + -9z7 + -9z5  and  -15z16 + -6z7 + -11z5 -5z16 + -15z7 + -20z5
        
13.   Multiply the following polynomials and simplify:
  • (6x4 + x3 + 2x)(7x5 + 3x3 - 4)
    42x9 + 7x8 + 18x7 + 17x6 - 18x4 - 4x3 - 8x
        
  • (10x5 + 10x4 + 8x2)(5x4 + 5x3 + 9x)
    50x9 + 100x8 + 50x7 + 130x6 + 130x5 + 72x3
        
14.   Divide:
  • 15x2 + 13x + 2 / 5x + 1
    3x + 2
        
15.   Find the greatest common factor of the following terms:
  • 27, 12, 66
    3
        
  • 42xy4, 60, 24y7
    6
        
16.   Factor the following polynomials:
  • 40x5 - 30x4 - 25x3
    40x3(x -
    5
    4
    )(x +
    1
    2
    )
        
  • x2 - 14x + 49
    (x - 7)(x - 7)
        
  • x7 - 3x6 - 180x5
    x5(x + 12)(x - 15)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    7
    and
    7


        
  • x =
    0
    ,
    -12

    and
    15
        
18.   You have 7 CDs. How many different ways can you listen to them?
  • 5040
        
19.   Use the following data to construct a box and whiskers plot:
  • 20, 12, 29, 16, 7, 4, 30, 2, 24, 6
        
20.   A bag contains 6 blue balls, 3 red balls, and 4 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    30.77%
        
  • A blue ball or red ball?
    69.23%
        
  • Two red balls?
    3.85%
        
  • A blue ball and a white ball?
    15.38%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -14
    x - y = 14
    A(0,-14)
        
  • 2x - 3y = -16
    2x + 5y = 16

    B(-2,4)
        
22.   Write the following fractions in simplest form:
  • 16x5y3
    4x6y10
    4
    xy7
        
  • (x - 6)
    (x2 - 12x + 36)
    1
    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.
  • -23x + 22 = -x2
    x1 = 22,   x2 = 1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 3.5
    32
    9
        
25.   Solve the following equation:
  • 10
    x
    = 9
    x =
    100
    81
        
26.   Rationalize the denominator of each fraction below:
  • 2
    2
    + 21
    -
    2
    2
    - 42
    439
        
27.   Use a trigonometric ratio to find x:
x = 41.57 cm
    
28.   The sum of two consecutive odd integers is 20. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=9, b=11
    
29.   After you leave your house, you walk 8 blocks west and 15 blocks north. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   The length of a rectangle is 10 less than 2 times the width. What are the dimensions of the rectangle if the area is 168m2?
  • width = 12,  length = 14
        


To print this algebra practice test, click here.



Page copy protected against web site content infringement by Copyscape






worksheets-banner



Bookmark and Share