Time
02 : 30 : 00



 basic mathematics image
 basic mathematics image

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:   15 and -13? -195
2.   Add:   9 and 1? 10
3.   Divide:   20 and -5? -4
4.   Substract:   16 and 9? 7
5.   Calculate: |5 · -19 + -20| 115
6.   Simplify the following expressions:
  • -3x + 10 – 15x 10-18x
  • 13y – 10y + 10y – 5x -5x+13y
  • -19z + -3y + 5y + -1z – -16z 2y-4z
  • x3 × x8 × x8 × y-18 x19 × y-18
  • x-18
    x15
    x-33
  • (7x2)10 282475249x20
7.   Which of the following expressions show the associative property?
  • 6( 1 + 6 ) = 6×1 + 6×6
  • -4x + -4 = -4 + -4x
  • ( m + n ) + 2 = m + ( n + 2 )
  • 5 + -4 = -4 + 5
C
8.   Which properties are illustrated by the following three expressions?
  • 0 + d + e + f = d + e + f
  • ( z + 0 ) × y = z × y + 0 × y
  • 2 × (3 + z) = (3 + z) × 2
  • Associative property of multiplication, Commutative property of addition and Distributive property
  • Commutative property of multiplication, Commutative property of addition and Distributive property
  • Identity property of addition, Distributive property and Commutative property of multiplication
  • Commutative property of multiplication, Identity property of multiplication and Identity property of addition
C
9.   Solve the following equations for x:
  • -18 = -x · -18 x = -1
  • -
    25
    13
    = -
    1
    13
    x x = 25
  • -45 = 44x – -43 x = -2
  • -ex = cx – a x = a/(e+c)
10.   Solve the following inequalities. Then graph a) on the number line
  • 2x – 15 ≤ -13 x ≤ 1
  • x ≠ -56
  • 50 ≥ x ≥ 30
  • 28
    14
    x <
    32
    2
    x < 8
11.   Convert the following numbers into scientific notation:
  • 0.000924 9.24 × 10-4
  • 243000 2.43 × 105
12.   Add the following polynomials:
  • 8z10 + -5z6 + -6z4 + -3z3  and  13z10 + 12z7 + -12z5 + -7z4 + -7z3
    21z10 + 12z7 + -5z6 + -12z5 + -13z4 + -10z3
  • 6z14 + 5z13 + 7z7 + -14z7 + -8z3  and  12z14 + 14z13 + -13z12 + 7z10 + 11z7 18z14 + 19z13 + -13z12 + 7z10 + 4z7 + -8z3
13.   Multiply the following polynomials and simplify:
  • (10x4 + 8x3 + 4x)(1x2 - 1)
    10x6 + 8x5 - 10x4 - 4x3 - 4x
  • (9x + 4)(9x4 + 1)
    81x5 + 36x4 + 9x + 4
14.   Divide:
  • 15x3 + 20x2 - 21x - 28 / 3x + 4
    5x2 - 7
15.   Find the greatest common factor of the following terms:
  • 63, 22
    1
  • 36x5y8, 100x5y9, 91x5y2
    x5y2
16.   Factor the following polynomials:
  • 42x5 - 51x4 - 36x3
    42x3(x -
    12
    7
    )(x +
    1
    2
    )
  • x2 + 11x + 18
    (x + 9)(x + 2)
  • x6 - 12x5 - 13x4
    x4(x - 13)(x + 1)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -9
    and
    -2
  • x =
    0
    ,
    13
    and
    -1
18.   You have 5 pants, 5 shirts, and 3 shoes. How many different ways can you dress?
  • 75
19.   Use the following data to construct a box and whiskers plot:
  • 39, 34, 5, 20, 22, 16, 23
20.   A bag contains 7 blue balls, 4 red balls, and 6 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    35.29%
  • A blue ball or red ball?
    64.71%
  • Two red balls?
    5.54%
  • A blue ball and a white ball?
    14.53%
21.   Solve and graph the following systems of linear equations:
  • x + y = -14
    x - y = 3
    A(-5.5,-8.5)
  • 3x - 7y = 7
    3x + 3y = 16

    B(4.43,0.9)
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
  • x2(x + 7)
    x8 + 8x7 + 7x6
    1
    x4(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 + 5x = 36
    x1 = 4,   x2 = -9
24.   Convert the following repeating decimal into a fraction:
  • x = 0.379
    376
    990
25.   Solve the following equation:
  • -5 -
    x - 1
    = -6
    x = 2
26.   Rationalize the denominator of each fraction below:
  • 3
    4
    9
    21
    2
    21
    63
27.   Use a trigonometric ratio to find x:
x = 9.24 cm
28.   The sum of two consecutive odd integers is 32. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=15, b=17
29.   After you leave your house, you walk 8 blocks west and 6 blocks south. How far are you from your house?
  • I am
    10
    blocks from my house.
30.   A rectangle has an area of 238ft2. Its width is 3 ft less than its length. What are the dimensions of the rectangle?
  • width = 14,  length = 17


To print this algebra practice test, click here.
Fractions-book-image






Copyright © 2008. Basic-mathematics.com. All right reserved