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:   -2 and 13? -26
    
2.   Add:   -3 and 18? 15
    
3.   Divide:   11 and -1? -11
    
4.   Substract:   1 and 20? -19
    
5.   Calculate: |3 + -4 · 4| 13
    
6.   Simplify the following expressions:
  • -18x – 18 + 18 -18x
        
  • -15y + -16x + -6y – 16x -32x-21y
        
  • 18z – 19x + -19 + -3z – 1 – 3y -20-19x-3y+15z
        
  • x-17 × x-17 × y-10 x-34 × y-10
        
  • x-8
    x16
    x-24
        
  • (3x4)9 19683x36
        
7.   Which of the following expressions show the associative property?
  • 0 + -6x = -6x
  • ( m + n ) + 2 = m + ( n + 2 )
  • 5 × ( z + 4 + 8 ) = 5×z + 5×4 + 5×8
  • l × ( m + 2 ) = lm + 2m
B
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × (y + 4) = y + 4
  • p + q + r + 0 = p + q + r
  • 13 × 18 = 13 × 18
  • Identity property of multiplication, Commutative property of multiplication and Associative property of multiplication
  • Identity property of multiplication, Identity property of addition and Commutative property of multiplication
  • Distributive property, Associative property of addition and Commutative property of multiplication
  • Commutative property of multiplication, Identity property of multiplication and Distributive property
B
    
9.   Solve the following equations for x:
  • 59 + x = -22 x = -81
        
  • 2
    23
    x =
    14
    23
    x = 7
        
  • -39 = -93 – 9x x = -6
        
  • dx = -a x = -a/d
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -2x – -39 > 9 x < 15
        
  • x ≠ 766
  • -51 ≤ x > -65
  • 9
    3
    x > -
    27
    3
    x > -3
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000861 8.61 × 10-10
        
  • 6170000000 6.17 × 109
        
12.   Add the following polynomials:
  • 15z9 + -5z8 + -3z5 + -2z2  and  14z8 + -9z5 + 9z2
    15z9 + 9z8 + -12z5 + 7z2
        
  • -12z20 + -4z17 + -3z6  and  -14z20 + -13z11 + 3z1 -26z20 + -4z17 + -13z11 + -3z6 + 3z1
        
13.   Multiply the following polynomials and simplify:
  • (1x5 + 9x4 + x)(2x3 + 9)
    2x8 + 18x7 + 9x5 + 83x4 + 9x
        
  • (7x5 + 4x4 + x2)(10x5 + 3x)
    70x10 + 40x9 + 10x7 + 21x6 + 12x5 + 3x3
        
14.   Divide:
  • 6x2 + 38x + 69 / 2x + 8
    (3x + 7) with a remainder of 13
        
15.   Find the greatest common factor of the following terms:
  • 45, 50, 22
    1
        
  • 66y2, 90x9y, 15x8y5
    3y
        
16.   Factor the following polynomials:
  • 28x5 - 74x4 + 36x3
    28x3(x - 2)(x -
    9
    14
    )
        
  • x2 + 12x + 35
    (x + 7)(x + 5)
        
  • x7 - 2x6 - 143x5
    x5(x - 13)(x + 11)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -7
    and
    -5


        
  • x =
    0
    ,
    13

    and
    -11
        
18.   You have 8 CDs. How many different ways can you listen to them?
  • 40320
        
19.   Use the following data to construct a box and whiskers plot:
  • 23, 19, 7, 15, 40, 35, 32, 20, 24
        
20.   A bag contains 6 blue balls, 3 red balls, and 3 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    25.00%
        
  • A blue ball or red ball?
    75.00%
        
  • Two red balls?
    6.25%
        
  • A blue ball and a white ball?
    12.50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -6
    x - y = -5
    A(-5.5,-0.5)
        
  • 6x - 5y = -15
    2x + 9y = -4

    B(-2.42,0.09)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x + 4)6
    (x + 4)5
    x + 4
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -88 = x2 - 26x
    x1 = 22,   x2 = 4
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.433
    390
    900
        
25.   Solve the following equation:
  • 32
    x
    = 4
    x = 2
        
26.   Rationalize the denominator of each fraction below:
  • 10
    10 +
    35
    20 - 2
    35
    13
        
27.   Use a trigonometric ratio to find x:
x = 21.65 cm
    
28.   The sum of two consecutive even integers is 50. What are the integers? (Hint: use 2x as the first even integer)
a=24, b=26
    
29.   After you leave your house, you walk 9 blocks west and 12 blocks south. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   The sides of a square are increased by 5 ft. The area of the newly created square is 361ft2. What was the original length of one side of the square?
  • 14 ft
        


To print this algebra practice test, click here.



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:   9 and 2? 18
    
2.   Add:   -15 and 5? -10
    
3.   Divide:   -1 and -1? 1
    
4.   Substract:   18 and 18? 0
    
5.   Calculate: |-12 · 4 + 2| 46
    
6.   Simplify the following expressions:
  • 14x + -10 – 13 -23+14x
        
  • 6 – 14y – -9 + 1y 15-13y
        
  • -14x – 18x – 5 + 8z + -6 + 17y -11-32x+17y+8z
        
  • x-9 × y-9 × x-4 × y8 x-13 × y-1
        
  • x-4
    x-5
    x1
        
  • (6x2)6 46656x12
        
7.   Which of the following expressions show the associative property?
  • 0 + 4x = 4x
  • 7( 4 + 2 ) = 7×4 + 7×2
  • ( 6 × 5 ) × 7 = 6 × ( 5 × 7 )
  • ( m × n ) + 7 = 7 + ( m × n )
C
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × (o + 2) = o + 2
  • 0 + 93 = 93
  • e + ( f + g ) = ( e + f ) + g
  • Associative property of addition, Identity property of multiplication and Distributive property
  • Commutative property of addition, Associative property of multiplication and Identity property of multiplication
  • Associative property of addition, Commutative property of multiplication and Identity property of addition
  • Identity property of multiplication, Identity property of addition and Associative property of addition
D
    
9.   Solve the following equations for x:
  • x + 81 = -37 x = -118
        
  • -
    1
    7
    x =
    24
    7
    x = -24
        
  • -39 = -24 + -3x x = 5
        
  • d + gx = a x = (-d+a)/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -2x – -27 < 9 x > 9
        
  • x ≠ -232
  • 53 ≥ x ≥ -1
  • -
    16
    2
    x < -24 x > 3
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000656 6.56 × 10-9
        
  • 5730000000 5.73 × 109
        
12.   Add the following polynomials:
  • -4z5 + 14z3 + -6z2 + 4z1  and  -4z9 + 6z5 + 4z3 + -11z2
    -4z9 + 2z5 + 18z3 + -17z2 + 4z1
        
  • -12z8 + -13z6 + 11z5 + -13  and  -3z8 + 11z7 + 12z6 + -7z5 + -4 -15z8 + 11z7 + -1z6 + 4z5 + -17
        
13.   Multiply the following polynomials and simplify:
  • (1x4 + 7x - 4)(9x5 + 10x2)
    9x9 + 73x6 - 36x5 + 70x3 - 40x2
        
  • (10x4 + 8x - 5)(1x4 + 4x)
    10x8 + 48x5 - 5x4 + 32x2 - 20x
        
14.   Divide:
  • 4x2 - 34x + 43 / x - 8
    (4x - 2) with a remainder of 27
        
15.   Find the greatest common factor of the following terms:
  • 9, 90
    9
        
  • 63y4, 55x2y10, 36x2y7
    y4
        
16.   Factor the following polynomials:
  • 15x4 - 14x3 + 3x2
    15x2(x -
    3
    5
    )(x -
    1
    3
    )
        
  • x2 + x - 20
    (x + 5)(x - 4)
        
  • x5 + 12x4 + 20x3
    x3(x + 2)(x + 10)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -5
    and
    4


        
  • x =
    0
    ,
    -2

    and
    -10
        
18.   You have 5 pants, 5 shirts, and 2 shoes. How many different ways can you dress?
  • 50
        
19.   Use the following data to construct a box and whiskers plot:
  • 10, 30, 28, 36, 22, 33, 25
        
20.   A bag contains 7 blue balls, 2 red balls, and 2 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    18.18%
        
  • A blue ball or red ball?
    81.82%
        
  • Two red balls?
    3.31%
        
  • A blue ball and a white ball?
    11.57%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 3
    x - y = 18
    A(10.5,-7.5)
        
  • 12x - 13y = -13
    6x + 2y = 2

    B(0,1)
        
22.   Write the following fractions in simplest form:
  • 2x2y8
    4xy5
    xy3
    2
        
  • (x + 10)6
    (x + 10)
    (x + 10)5
        
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 = 9,   x2 = 3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.36
    33
    90
        
25.   Solve the following equation:
  • -
    5
    x
    = -5
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 4
    5
    1 +
    10
    -
    4
    5
    - 20
    2
    9
        
27.   Use a trigonometric ratio to find x:
x = 28.87 cm
    
28.   The sum of two consecutive even integers is 22. What are the integers? (Hint: use 2x as the first even integer)
a=10, b=12
    
29.   After you leave your house, you walk 8 blocks north and 15 blocks east. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   A rectangle has an area of 221m2. Its width is 4 m less than its length. What are the dimensions of the rectangle?
  • width = 13,  length = 17
        


To print this algebra practice test, click here.



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