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:   -14 and -9? 126
    
2.   Add:   14 and -1? 13
    
3.   Divide:   3 and -3? -1
    
4.   Substract:   17 and -15? 32
    
5.   Calculate: |-11 · -7 + 2| 79
    
6.   Simplify the following expressions:
  • 20x – -17 – -16x 17+36x
        
  • -11y + -1y – -10y – -17x 17x-2y
        
  • -5x + 5x – 9 + -4y – -6 -3-4y
        
  • y5 × x20 x20 × y5
        
  • x-18
    x-13
    x-5
        
  • (8x3)3 512x9
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) × p = m × ( n × p )
  • -7x + 3 = 3 + -7x
  • 0 + 4x = 4x
  • 5 + 1 = 1 + 5
A
    
8.   Which properties are illustrated by the following three expressions?
  • 0 + -31 = -31
  • 3 × (-4 + z) = (-4 + z) × 3
  • b × ( c × 1 ) = ( b × c ) × 1
  • Identity property of addition, Commutative property of multiplication and Associative property of multiplication
  • Identity property of multiplication, Commutative property of addition and Associative property of addition
  • Identity property of addition, Identity property of multiplication and Associative property of multiplication
  • Associative property of multiplication, Associative property of addition and Commutative property of addition
A
    
9.   Solve the following equations for x:
  • x – 55 = 85 x = 140
        
  • 5
    23
    = -
    1
    23
    x x = -5
        
  • 41 = 6x + -19 x = 10
        
  • -c = gx + b x = (c+b)/(-g)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – 9 < -40 x > 31
        
  • x ≠ 892
  • 75 ≥ x > 20
  • 36
    18
    x <
    40
    2
    x < 10
        
11.   Convert the following numbers into scientific notation:
  • 0.0000152 1.52 × 10-5
        
  • 492000 4.92 × 105
        
12.   Add the following polynomials:
  • 4z9 + -2z5 + -11z3 + -12  and  2z9 + 15z5 + 10z3 + 15
    6z9 + 13z5 + -1z3 + 3
        
  • -7z7 + 6z3 + -5z2  and  -12z10 + -8z7 + 10z6 + 2z3 + 15z2 -12z10 + -15z7 + 10z6 + 8z3 + 10z2
        
13.   Multiply the following polynomials and simplify:
  • 5x2(5x4 + 8x3 - 2)
    25x6 + 40x5 - 10x2
        
  • (3x5 + 10x3 + 10x)(7x4 + 2x - 4)
    21x9 + 70x7 + 6x6 + 58x5 + 20x4 - 40x3 + 20x2 - 40x
        
14.   Divide:
  • 4x2 + 21x + 27 / x + 3
    4x + 9
        
15.   Find the greatest common factor of the following terms:
  • 90, 60, 66
    6
        
  • 39x7y2, 78x2y10
    39x2y2
        
16.   Factor the following polynomials:
  • 68x5 + 51x4 - 17x3
    68x3(x -
    1
    4
    )(x + 1)
        
  • x2 + 0x - 36
    (x + 6)(x - 6)
        
  • x7 + 13x6 + 36x5
    x5(x + 9)(x + 4)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -6
    and
    6


        
  • x =
    0
    ,
    -9

    and
    -4
        
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:
  • 35, 21, 1, 10, 6, 30, 16, 40, 15, 19
        
20.   A bag contains 3 blue balls, 2 red balls, and 5 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    50.00%
        
  • A blue ball or red ball?
    50.00%
        
  • Two red balls?
    2.22%
        
  • A blue ball and a white ball?
    16.67%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -8
    x - y = 5
    A(-1.5,-6.5)
        
  • 7x - 3y = -11
    4x + 9y = 1

    B(-1.28,0.68)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x8 + 1x7 - 72x6
    x4(x - 8)
    x2(x + 9)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 84 = 20x
    x1 = 14,   x2 = 6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.5
    5
    9
        
25.   Solve the following equation:
  • 10
    x
    - 9 = 9
    x
    + 13
    x = 484
        
26.   Rationalize the denominator of each fraction below:
  • 15
    9
    9
    21
    5
    21
    21
        
27.   Use a trigonometric ratio to find x:
x = 27.71 cm
    
28.   The sum of two consecutive odd integers is 52. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=25, b=27
    
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.   Each side of a square is lengthened by 3 m. This makes the area of the square 100m2. What is the original length of a side of the square?
  • 7 m
        


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:   4 and -19? -76
    
2.   Add:   -20 and 1? -19
    
3.   Divide:   13 and -13? -1
    
4.   Substract:   -8 and 13? -21
    
5.   Calculate: |-12 · 20 + 9| 231
    
6.   Simplify the following expressions:
  • -1 + 19x + 1x -1+20x
        
  • 14x + -20x – 11 – -3x -11-3x
        
  • -10y – 17x – -10z – 2x – -2y -19x-8y+10z
        
  • y11 × x7 x7 × y11
        
  • x14
    x-2
    x16
        
  • (8x2)7 2097152x14
        
7.   Which of the following expressions show the associative property?
  • ( x + y ) × 4 = 4 × ( y + x )
  • ( m × n ) × p = m × ( n × p )
  • 0 + -6x = -6x
  • ( 1 + -10 ) × 5 = 5 × ( 1 + -10 )
B
    
8.   Which properties are illustrated by the following three expressions?
  • (m + n) × 1 = m + n
  • 0 + r + 6 = r + 6
  • x + -8 × -5 = -8 × -5 + x
  • Associative property of multiplication, Commutative property of addition and Associative property of addition
  • Identity property of multiplication, Associative property of addition and Associative property of multiplication
  • Distributive property, Associative property of multiplication and Identity property of multiplication
  • Identity property of multiplication, Identity property of addition and Commutative property of addition
D
    
9.   Solve the following equations for x:
  • 52 + -x = -10 x = 62
        
  • 9
    22
    x =
    9
    22
    x = 1
        
  • -62 = 96 + -2x x = 79
        
  • -a – cx = -gx x = a/(-c+g)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 5x – 26 < -31 x < -1
        
  • x ≠ -631
  • -59 > x > -73
  • 4x < -
    36
    3
    x < -3
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000503 5.03 × 10-8
        
  • 46300 4.63 × 104
        
12.   Add the following polynomials:
  • -5z7 + -14  and  -15z9 + 9z7 + 11z5 + -10z3 + 12
    -15z9 + 4z7 + 11z5 + -10z3 + -2
        
  • 14z18 + -2z12 + 6z8 + -14z6 + 15z5  and  -12z18 + 2z12 + -12z8 + 11z6 + 9z5 2z18 + -6z8 + -3z6 + 24z5
        
13.   Multiply the following polynomials and simplify:
  • (9x5 + 7x2 + 7x)(10x5 + 2x2 - 3)
    90x10 + 88x7 + 70x6 - 27x5 + 14x4 + 14x3 - 21x2 - 21x
        
  • (2x4 + 5x3 + 2x2)(9x3 - 4)
    18x7 + 45x6 + 18x5 - 8x4 - 20x3 - 8x2
        
14.   Divide:
  • 15x3 + 9x2 + 30x + 47 / 5x + 3
    (3x2 + 6) with a remainder of 29
        
15.   Find the greatest common factor of the following terms:
  • 70, 44, 90
    2
        
  • 72x4y9, 90x10y3, 42x10y7
    6x4y3
        
16.   Factor the following polynomials:
  • 2x5 - 18x4 + 31x3
    2x3(x -
    9 +
    19
    2
    )(x -
    9 -
    19
    2
    )
        
  • x2 - 2x + 1
    (x - 1)(x - 1)
        
  • x5 - 20x4 + 84x3
    x3(x - 14)(x - 6)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    1
    and
    1


        
  • x =
    0
    ,
    14

    and
    6
        
18.   You are seating 3 people on 3 chairs. How many different ways can those people sit?
  • 6
        
19.   Use the following data to construct a box and whiskers plot:
  • 36, 11, 32, 29, 22, 18, 21
        
20.   A bag contains 3 blue balls, 4 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?
    30.00%
        
  • A blue ball or red ball?
    70.00%
        
  • Two red balls?
    16.00%
        
  • A blue ball and a white ball?
    9.00%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 5
    x - y = -16
    A(-5.5,10.5)
        
  • 10x - 7y = 10
    8x + 10y = 13

    B(1.22,0.32)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 + 18x + 81)
    (x + 9)
    x + 9
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 70 = x2 - 9x
    x1 = 14,   x2 = -5
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.69
    69
    99
        
25.   Solve the following equation:
  • 6
    x
    = 12
    x =
    36
    144
        
26.   Rationalize the denominator of each fraction below:
  • 35
    15 -
    21
    525 + 35
    21
    204
        
27.   Use a trigonometric ratio to find x:
x = 19.92 cm
    
28.   The sum of two consecutive odd integers is 36. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=17, b=19
    
29.   After you leave your house, you walk 8 blocks south and 15 blocks west. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   The sides of a square are increased by 5 m. The area of the newly created square is 324m2. What was the original length of one side of the square?
  • 13 m
        


To print this algebra practice test, click here.



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