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:   8 and 19? 152
    
2.   Add:   14 and 15? 29
    
3.   Divide:   11 and 11? 1
    
4.   Substract:   -9 and -8? -1
    
5.   Calculate: |-14 + -15 · -10| 136
    
6.   Simplify the following expressions:
  • -13x + -2x – -17x 2x
        
  • 7y – 20y – -13y – 19y -19y
        
  • 10 + -12y + -19z – -14y – 14 – 20 -24+2y-19z
        
  • x-4 × x-13 x-17
        
  • x-7
    x-3
    x-4
        
  • (2x)8 256x8
        
7.   Which of the following expressions show the associative property?
  • w × ( x + 7 ) = wx + 7x
  • 7 × 9 = 9 × 7
  • ( m + n ) + 8 = m + ( n + 8 )
  • ( -6 × -2 ) + 3 = 3 + ( -6 × -2 )
C
    
8.   Which properties are illustrated by the following three expressions?
  • v + 3 + 0 = v + 3
  • 1 × (w + x) = w + x
  • o + ( p + 0 ) = ( o + p ) + 0
  • Identity property of addition, Identity property of multiplication and Associative property of addition
  • Associative property of multiplication, Distributive property and Identity property of addition
  • Commutative property of addition, Identity property of addition and Associative property of multiplication
  • Associative property of multiplication, Associative property of addition and Commutative property of multiplication
A
    
9.   Solve the following equations for x:
  • 33 = -11 · -x x = 3
        
  • 20
    15
    = -
    5
    15
    x x = -4
        
  • 20 = -96 – -4x x = 29
        
  • g = -a – bx x = (-g-a)/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – -40 ≤ -1 x ≥ 41
        
  • x ≠ 88
  • 99 > x ≤ 67
  • 28
    14
    x > -
    26
    13
    x > -1
        
11.   Convert the following numbers into scientific notation:
  • 0.000000805 8.05 × 10-7
        
  • 692000000000 6.92 × 1011
        
12.   Add the following polynomials:
  • 10z8 + -14z3  and  -10z8 + 3z3
    -11z3
        
  • -12z19 + 9z16 + 7z14 + -2z8 + -5z7  and  -9z17 + -9z14 + -7z12 + -7z8 + 1z1 -12z19 + -9z17 + 9z16 + -2z14 + -7z12 + -9z8 + -5z7 + 1z1
        
13.   Multiply the following polynomials and simplify:
  • -7(4x5 + x4 + 4x2)
    -28x5 - 7x4 - 28x2
        
  • (4x5 + 2x3 + 8x)(9x3 + 5)
    36x8 + 18x6 + 20x5 + 72x4 + 10x3 + 40x
        
14.   Divide:
  • 20x2 + 51x + 28 / 4x + 7
    5x + 4
        
15.   Find the greatest common factor of the following terms:
  • 56, 100
    4
        
  • 45xy8, 50x9y6, 22x6y7
    xy6
        
16.   Factor the following polynomials:
  • 8x5 - 15x4 - 2x3
    8x3(x - 2)(x +
    1
    8
    )
        
  • x2 - x - 90
    (x + 9)(x - 10)
        
  • x5 - 15x4 + 56x3
    x3(x - 8)(x - 7)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -9
    and
    10


        
  • x =
    0
    ,
    8

    and
    7
        
18.   You have 4 pants, 4 shirts, and 3 shoes. How many different ways can you dress?
  • 48
        
19.   Use the following data to construct a box and whiskers plot:
  • 23, 3, 21, 34, 7, 37, 27, 39, 22, 36
        
20.   A bag contains 5 blue balls, 3 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?
    20.00%
        
  • A blue ball or red ball?
    80.00%
        
  • Two red balls?
    6.67%
        
  • A blue ball and a white ball?
    11.11%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 18
    x - y = -7
    A(5.5,12.5)
        
  • 9x - 10y = 10
    2x + 9y = -11

    B(-0.2,-1.18)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x3 - 2x2 - 24x
    x4(x + 4)
    (x - 6)
    x3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 12x = x2 + 11
    x1 = 1,   x2 = 11
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.531
    531
    999
        
25.   Solve the following equation:
  • 40
    x
    = 2
    x = 10
        
26.   Rationalize the denominator of each fraction below:
  • 14
    6 -
    14
    42 + 7
    14
    11
        
27.   Use a trigonometric ratio to find x:
x = 9.81 cm
    
28.   The sum of two consecutive even integers is 34. What are the integers? (Hint: use 2x as the first even integer)
a=16, b=18
    
29.   After you leave your house, you walk 4 blocks east and 3 blocks north. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   A rectangle has an area of 7m2. Its width is 6 m less than its length. What are the dimensions of the rectangle?
  • width = 1,  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:   20 and 16? 320
    
2.   Add:   -16 and 8? -8
    
3.   Divide:   3 and 3? 1
    
4.   Substract:   10 and -20? 30
    
5.   Calculate: |-20 · -9 + 6 · -18| 72
    
6.   Simplify the following expressions:
  • -12 – -20 + -16x 8-16x
        
  • -4x + -18y + 17 + 3x 17-1x-18y
        
  • 14y + 17 + -5x + -11 + 17 + 12x 23+7x+14y
        
  • y10 × y-7 × x-1 × x-17 x-18 × y3
        
  • x-17
    x17
    x-34
        
  • (5x)4 625x4
        
7.   Which of the following expressions show the associative property?
  • 9x + -1 = -1 + 9x
  • ( x × y ) + 8 = 8 + ( y × x )
  • ( m + n ) + 4 = m + ( n + 4 )
  • 3 × ( y + 9 + 7 ) = 3×y + 3×9 + 3×7
C
    
8.   Which properties are illustrated by the following three expressions?
  • 13 × ( 7 × 18 ) = ( 13 × 7 ) × 18
  • 9 + ( -17 + -5 ) = ( 9 + -17 ) + -5
  • ( y + 0 ) × x = y × x + 0 × x
  • Associative property of multiplication, Associative property of addition and Distributive property
  • Commutative property of multiplication, Identity property of addition and Identity property of multiplication
  • Commutative 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 – -95 = -10 x = -105
        
  • -
    1
    3
    x =
    17
    3
    x = -17
        
  • 98 = 74 + -24x x = -1
        
  • bx + e = f x = (-e+f)/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 25x + -9 > -34 x > -1
        
  • x ≠ -342
  • -53 < x > 53
  • 39
    13
    x ≤ 3 x ≤ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000711 7.11 × 10-5
        
  • 6730000 6.73 × 106
        
12.   Add the following polynomials:
  • -15z9 + 14z4 + -10z3 + -2z2 + 6  and  -13z6 + 4z4 + -7z3 + 13z2 + 10z1
    -15z9 + -13z6 + 18z4 + -17z3 + 11z2 + 10z1 + 6
        
  • 11z7 + 8z6 + -8z1  and  -4z7 + 15z6 + -1z2 + -12z1 + 6 7z7 + 23z6 + -1z2 + -20z1 + 6
        
13.   Multiply the following polynomials and simplify:
  • (7x5 + 5x2)(10x3 + 3x2 + 9x)
    70x8 + 21x7 + 63x6 + 50x5 + 15x4 + 45x3
        
  • (5x4 + 7x2 + 4)(3x4 + 5x3 + 8)
    15x8 + 25x7 + 21x6 + 35x5 + 52x4 + 20x3 + 56x2 + 32
        
14.   Divide:
  • 5x2 + 41x + 42 / x + 7
    5x + 6
        
15.   Find the greatest common factor of the following terms:
  • 78, 21, 75
    3
        
  • 72x2y10, 60x3y2, 99xy9
    3xy2
        
16.   Factor the following polynomials:
  • 18x3 - 90x2 + 54x
    18x(x -
    5 +
    13
    2
    )(x -
    5 -
    13
    2
    )
        
  • x2 - 13x + 30
    (x - 10)(x - 3)
        
  • x7 + 9x6 - 70x5
    x5(x + 14)(x - 5)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    10
    and
    3


        
  • x =
    0
    ,
    -14

    and
    5
        
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:
  • 14, 7, 6, 39, 25, 17, 22, 12, 34
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 8
  • What is the probability of getting tails and 7?
    6.25%
        
  • What is the probability of getting tails and an even number?
    25%
        
  • What is the probability of getting tails and a multiple of 2?
    25%
        
  • What is the probability of getting heads and a prime number?
    25%
        
  • What is the probability of not tails and not 6?
    43.75%
        
  • 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 = 4
    x - y = -11
    A(-3.5,7.5)
        
  • 3x - 6y = -14
    10x + 10y = 6

    B(-1.16,1.76)
        
22.   Write the following fractions in simplest form:
  • 11x4y10
    44xy
    x3y9
    4
        
  • (x + 4)
    (x2 + 8x + 16)
    1
    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.
  • x2 + 3x = -2
    x1 = -2,   x2 = -1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 3.13
    310
    99
        
25.   Solve the following equation:
  • 14
    x
    = 13
    x =
    196
    169
        
26.   Rationalize the denominator of each fraction below:
  • 7
    30
    7
    30
    1
        
27.   Use a trigonometric ratio to find x:
x = 34.64 cm
    
28.   The sum of two consecutive odd integers is 60. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=29, b=31
    
29.   After you leave your house, you walk 8 blocks west and 15 blocks south. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   A rectangle has a length 3 ft greater than its width. The area of the rectangle is 108ft2. What are the length and width of the rectangle?
  • width = 9,  length = 12
        


To print this algebra practice test, click here.



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