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:   -18 and -16? 288
    
2.   Add:   -17 and 11? -6
    
3.   Divide:   -19 and 19? -1
    
4.   Substract:   11 and -19? 30
    
5.   Calculate: |-2 + 10 · -7| 72
    
6.   Simplify the following expressions:
  • 8x + 5x + -10x 3x
        
  • -8 – -11 + 19x + -16y 3+19x-16y
        
  • -9y – -17z + -6z – 9 + 10y – 4y -9-3y+11z
        
  • y-8 × y-10 y-18
        
  • x11
    x14
    x-3
        
  • (2x)3 8x3
        
7.   Which of the following expressions show the associative property?
  • a + b = b + a
  • ( x + y ) + z = x + ( y + z )
  • ( x × y ) + 8 = 8 + ( y × x )
  • 0 + 7x = 7x
B
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × (t + 10) = t + 10
  • u × ( v + w ) = u × v + u × w
  • 4 + -19 = 4 + -19
  • Commutative property of multiplication, Associative property of multiplication and Distributive property
  • Distributive property, Identity property of multiplication and Identity property of addition
  • Identity property of multiplication, Distributive property and Commutative property of addition
  • Distributive property, Commutative property of addition and Commutative property of multiplication
C
    
9.   Solve the following equations for x:
  • -x + -54 = 9 x = -63
        
  • -
    1
    11
    x =
    1
    11
    x = -1
        
  • 37x + 42 = 5 x = -1
        
  • f – e = -cx x = (-f+e)/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 14x – -15 ≥ 1 x ≥ -1
        
  • x ≠ 638
  • 89 > x < -45
  • 30
    10
    x ≥ -
    30
    2
    x ≥ -5
        
11.   Convert the following numbers into scientific notation:
  • 0.000801 8.01 × 10-4
        
  • 80600000000 8.06 × 1010
        
12.   Add the following polynomials:
  • -8z8 + -2z6 + 6z4 + -10z3 + 12z1  and  9z6 + -4z6 + 8z4 + -7z3 + 9z1
    -8z8 + 3z6 + 14z4 + -17z3 + 21z1
        
  • 12z16 + 4z15 + -9z13  and  2z16 + -10z15 + -3z13 14z16 + -6z15 + -12z13
        
13.   Multiply the following polynomials and simplify:
  • (5x5 + 10x3)(8x4 - 2)
    40x9 + 80x7 - 10x5 - 20x3
        
  • (2x4 + 7x)(3x4 + x3)
    6x8 + 2x7 + 21x5 + 7x4
        
14.   Divide:
  • 6x3 - 14x2 - 15x + 35 / 3x - 7
    2x2 - 5
        
15.   Find the greatest common factor of the following terms:
  • 26, 27
    1
        
  • 80x7y6, 39x7y
    x7y
        
16.   Factor the following polynomials:
  • 33x5 - 22x4 - 55x3
    33x3(x + 1)(x -
    5
    3
    )
        
  • x2 - 8x + 16
    (x - 4)(x - 4)
        
  • x7 - 20x6 + 75x5
    x5(x - 5)(x - 15)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    4
    and
    4


        
  • x =
    0
    ,
    5

    and
    15
        
18.   How many ways can 8 people wait in line?
  • 40320
        
19.   Use the following data to construct a box and whiskers plot:
  • 8, 19, 17, 18, 29, 32, 10
        
20.   A bag contains 3 blue balls, 2 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?
    28.57%
        
  • A blue ball or red ball?
    71.43%
        
  • Two red balls?
    4.76%
        
  • A blue ball and a white ball?
    14.29%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -7
    x - y = -14
    A(-10.5,3.5)
        
  • 3x - 5y = 6
    2x + 8y = 11

    B(3.03,0.62)
        
22.   Write the following fractions in simplest form:
  • 22x3y
    11xy5
    2x2
    y4
        
  • x8 + 12x7 + 20x6
    x2(x + 10)
    x4(x + 2)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -7x - 78 = -x2
    x1 = -6,   x2 = 13
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.3
    3
    9
        
25.   Solve the following equation:
  • 27
    x
    = 3
    x = 3
        
26.   Rationalize the denominator of each fraction below:
  • 4
    5
    - 7
    -
    5
    + 7
    11
        
27.   Use a trigonometric ratio to find x:
x = 27.58 cm
    
28.   The sum of two consecutive even integers is 26. What are the integers? (Hint: use 2x as the first even integer)
a=12, b=14
    
29.   After you leave your house, you walk 4 blocks north and 3 blocks east. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   The sides of a square are increased by 9 m. The area of the newly created square is 225m2. What was the original length of one side of the square?
  • 6 m
        


To print this algebra practice test, click here.



Page copy protected against web site content infringement by Copyscape






worksheets-banner



Bookmark and Share