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:   -1 and 4? -4
    
2.   Add:   -7 and -16? -23
    
3.   Divide:   6 and 6? 1
    
4.   Substract:   -20 and 6? -26
    
5.   Calculate: |10 · 14 + 13 · 13| 309
    
6.   Simplify the following expressions:
  • 18x + 14x + 2x 34x
        
  • -11y – 13 + 3x – -17 4+3x-11y
        
  • 20y + -15y + -14x + 7 – -4 – -19y 11-14x+24y
        
  • y0 × y12 × x-4 × x-17 x-21 × y12
        
  • x16
    x2
    x14
        
  • (2x)10 1024x10
        
7.   Which of the following expressions show the associative property?
  • t × ( u + 9 ) = tu + 9u
  • ( x × y ) × z = x × ( y × z )
  • 8 + 9o + 5
  • 0 + -1x = -1x
B
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × (v + w + x) = v + w + x
  • y × ( z + 1 ) = y × z + y × 1
  • (4 + x) × 6 = 6 × (4 + x)
  • Commutative property of multiplication, Distributive property and Associative property of multiplication
  • Identity property of multiplication, Commutative property of multiplication and Identity property of addition
  • Distributive property, Associative property of multiplication and Identity property of multiplication
  • Identity property of multiplication, Distributive property and Commutative property of multiplication
D
    
9.   Solve the following equations for x:
  • -32 = 30 – -x x = -62
        
  • 4
    25
    = -
    2
    25
    x x = -2
        
  • 51 – -27x = -57 x = -4
        
  • -cx = a x = -a/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 8x + -6 ≥ 34 x ≥ 5
        
  • x ≠ -58
  • 90 ≥ x ≥ -73
  • -
    40
    20
    x > -40 x < 20
        
11.   Convert the following numbers into scientific notation:
  • 0.0000659 6.59 × 10-5
        
  • 506000000000 5.06 × 1011
        
12.   Add the following polynomials:
  • 14z7 + -12z3 + 3  and  10z8 + -10z7 + -3z5 + -14z3 + 4
    10z8 + 4z7 + -3z5 + -26z3 + 7
        
  • 11z16 + 13z12 + 6z5 + -7z1  and  -9z15 + 14z12 + 11z5 11z16 + -9z15 + 27z12 + 17z5 + -7z1
        
13.   Multiply the following polynomials and simplify:
  • 4x4(1x4 + 8x3 - 2)
    4x8 + 32x7 - 8x4
        
  • (3x5 - 6)(8x5 + 4x3 + 9x2)
    24x10 + 12x8 + 27x7 - 48x5 - 24x3 - 54x2
        
14.   Divide:
  • 2x3 + 10x2 + 5x + 25 / x + 5
    2x2 + 5
        
15.   Find the greatest common factor of the following terms:
  • 60, 78
    6
        
  • 55x9y3, 60y5, 54x2y7
    y3
        
16.   Factor the following polynomials:
  • 18x4 - 29x3 - 14x2
    18x2(x +
    7
    18
    )(x - 2)
        
  • x2 - 2x - 63
    (x + 7)(x - 9)
        
  • x9 + 7x8 - 60x7
    x7(x + 12)(x - 5)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -7
    and
    9


        
  • x =
    0
    ,
    -12

    and
    5
        
18.   You have 3 CDs. How many different ways can you listen to them?
  • 6
        
19.   Use the following data to construct a box and whiskers plot:
  • 13, 22, 15, 9, 10, 24, 20, 32, 8
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 20
  • What is the probability of getting tails and 9?
    2.50%
        
  • What is the probability of getting tails and an odd number?
    25%
        
  • What is the probability of getting heads and a multiple of 5?
    10%
        
  • What is the probability of getting heads and a prime number?
    20%
        
  • What is the probability of not tails and not 19?
    47.5%
        
  • What is the probability of getting not heads and not a whole number?
    0%
        
  • What is the probability of heads or tails and a whole number?
    100%
        
  • What is the probability of getting heads?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 8
    x - y = 5
    A(6.5,1.5)
        
  • 10x - 6y = 16
    2x + 3y = 20

    B(4,4)
        
22.   Write the following fractions in simplest form:
  • 5x2y3
    10x10y6
    1
    2x8y3
        
  • (x2 + 16x + 64)
    (x + 8)
    x + 8
        
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 - 45
    x1 = -3,   x2 = 15
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.2
    2
    9
        
25.   Solve the following equation:
  • 10
    x
    + 1 = 9
    x
    + 17
    x = 256
        
26.   Rationalize the denominator of each fraction below:
  • 3
    15
    15
    5
        
27.   Use a trigonometric ratio to find x:
x = 16.50 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 5 blocks west and 12 blocks north. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   A rectangle has an area of 28m2. Its width is 3 m less than its length. What are the dimensions of the rectangle?
  • width = 4,  length = 7
        


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:   19 and 7? 133
    
2.   Add:   15 and -6? 9
    
3.   Divide:   -7 and 7? -1
    
4.   Substract:   18 and 5? 13
    
5.   Calculate: |9 · 15 + -17| 118
    
6.   Simplify the following expressions:
  • -11x – -1x – 6x -16x
        
  • 14y + -8x – -4x + -19x -23x+14y
        
  • 13 + 19 + -18x – 13x + -19x + 18z 32-50x+18z
        
  • x10 × x-17 x-7
        
  • x-8
    x7
    x-15
        
  • (7x4)8 5764801x32
        
7.   Which of the following expressions show the associative property?
  • 0 + 4x = 4x
  • ( x + y ) + z = x + ( y + z )
  • -3 × ( x + 1 + 6 ) = -3×x + -3×1 + -3×6
  • 8x + -1 = -1 + 8x
B
    
8.   Which properties are illustrated by the following three expressions?
  • l × ( m + n ) = l × m + l × n
  • 10y + 12 = 12 + 10y
  • 1 × -54 = -54
  • Commutative property of multiplication, Distributive property and Associative property of addition
  • Distributive property, Commutative property of addition and Identity property of multiplication
  • Commutative property of multiplication, Identity property of addition and Commutative property of addition
  • Commutative property of addition, Commutative property of multiplication and Distributive property
B
    
9.   Solve the following equations for x:
  • -50 = 27 + x x = -77
        
  • -
    1
    2
    x =
    15
    30
    x = -1
        
  • -4 – 5x = 1 x = -1
        
  • -a = fx x = -a/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – -10 ≥ -21 x ≤ 31
        
  • x ≠ -875
  • 27 < x ≤ 7
  • -
    18
    9
    x ≥ -
    40
    20
    x ≤ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.000550 5.5 × 10-4
        
  • 947000 9.47 × 105
        
12.   Add the following polynomials:
  • -14z8 + 7z6 + 3z4 + 10z2 + 15  and  9z6 + -11z4 + -11z2 + -7z1
    -14z8 + 16z6 + -8z4 + -1z2 + -7z1 + 15
        
  • 11z16 + -8z10 + -4z4 + 9z2 + 12  and  15z18 + -9z10 + -13z4 + 12 15z18 + 11z16 + -17z10 + -17z4 + 9z2 + 24
        
13.   Multiply the following polynomials and simplify:
  • 4x5(2x5 + 8x3 + 9x2)
    8x10 + 32x8 + 36x7
        
  • (4x5 + 4x4 + 2x3)(1x5 - 7)
    4x10 + 4x9 + 2x8 - 28x5 - 28x4 - 14x3
        
14.   Divide:
  • 4x2 + 16x + 16 / 4x + 8
    x + 2
        
15.   Find the greatest common factor of the following terms:
  • 65, 13
    13
        
  • 65x8y6, 54xy10
    xy6
        
16.   Factor the following polynomials:
  • 26x5 + 39x4 + 13x3
    26x3(x +
    1
    2
    )(x + 1)
        
  • x2 + 4x - 21
    (x + 7)(x - 3)
        
  • x4 - 4x3 - 165x2
    x2(x + 11)(x - 15)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -7
    and
    3


        
  • x =
    0
    ,
    -11

    and
    15
        
18.   You have 5 books to read. How many different ways can you read your books?
  • 120
        
19.   Use the following data to construct a box and whiskers plot:
  • 11, 29, 21, 3, 4, 33, 27, 30, 6
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 11
  • What is the probability of getting heads and 11?
    4.55%
        
  • What is the probability of getting tails and an odd number?
    22.73%
        
  • What is the probability of getting tails and a multiple of 3?
    13.64%
        
  • What is the probability of getting tails and a prime number?
    22.73%
        
  • What is the probability of not tails and not 2?
    45.45%
        
  • What is the probability of getting not tails and not a whole number?
    0%
        
  • What is the probability of heads or tails and a whole number?
    100%
        
  • What is the probability of getting heads?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -18
    x - y = -15
    A(-16.5,-1.5)
        
  • 5x - 5y = -13
    4x + 8y = 7

    B(-1.15,1.45)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x3(x - 2)
    x8 - 7x7 + 10x6
    1
    x3(x - 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 = -13x + 42
    x1 = 6,   x2 = 7
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.374
    371
    990
        
25.   Solve the following equation:
  • 28
    x
    = 2
    x = 7
        
26.   Rationalize the denominator of each fraction below:
  • 2
    20
    7
    18
    2
    10
    21
        
27.   Use a trigonometric ratio to find x:
x = 38.11 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 4 blocks south and 3 blocks east. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   A rectangle has a length 6 ft greater than its width. The area of the rectangle is 315ft2. What are the length and width of the rectangle?
  • width = 15,  length = 21
        


To print this algebra practice test, click here.



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