Algebra test generator



Name _____________________                                        Date:_____________________


Current difficulty level: Choose test difficulty:         Easy              Challenging
(current difficulty level: Challenging)

                           

Solve the following problems:

Important instructions

(or click here to generate a new test)
1.   Multiply:   -26 and 24? -624
    
2.   Add:   7 and 85? 92
    
3.   Divide:   47 and -1? -47
    
4.   Substract:   -75 and 24? -99
    
5.   Calculate: |100 · 83 + -86 · 66| 2624
    
6.   Simplify the following expressions:
  • -2x + 47x – 56x -11x
        
  • 97 – -10x – -64y + -66y 97+10x-2y
        
  • 63 – 4z + -5y – 99x + 40y 63-99x+35y-4z
        
  • x-68 × y90 × x65 x-3 × y90
        
  • x-83
    x-57
    x-26
        
  • (9x2)9 387420489x18
        
7.   Which of the following expressions show the associative property?
  • ( x × y ) + 9 = 9 + ( y × x )
  • 0 + -4x = -4x
  • ( m × n ) × p = m × ( n × p )
  • -3 × ( y + 6 + 1 ) = -3×y + -3×6 + -3×1
C
    
8.   Which properties are illustrated by the following three expressions?
  • -100 + -73 = -100 + -73
  • 3 × (9 + x) = (9 + x) × 3
  • ( y + 0 ) + x = y + ( 0 + x )
  • Commutative property of addition, Distributive property and Identity property of addition
  • Commutative property of addition, Commutative property of multiplication and Associative property of addition
  • Commutative property of multiplication, Distributive property and Identity property of multiplication
  • Associative property of addition, Identity property of addition and Associative property of multiplication
B
    
9.   Solve the following equations for x:
  • 48 = -12 · x x = -4
        
  • 2
    19
    =
    1
    19
    x x = 2
        
  • 13x – 70 = 99 x = 13
        
  • -d = fx – b x = (-d+b)/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -5x + 27 ≤ 32 x ≥ -1
        
  • x ≠ -471
  • 71 ≤ x ≤ -51
  • -
    28
    14
    x > -
    22
    11
    x < 1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000547 5.47 × 10-8
        
  • 82900 8.29 × 104
        
12.   Add the following polynomials:
  • 1z9 + 6z7 + -16z6 + 19z1  and  6z9 + -6z7 + -15z6 + -10z5 + 11z1
    7z9 + -31z6 + -10z5 + 30z1
        
  • 47z16 + -28z15 + 40z12 + -30z7 + -9z5  and  49z16 + -33z15 + -39z12 + 48z7 + 34z5 96z16 + -61z15 + 1z12 + 18z7 + 25z5
        
13.   Multiply the following polynomials and simplify:
  • 1x5(7x4 + 8x - 6)
    7x9 + 8x6 - 6x5
        
  • (1x3 + 10x)(8x5 + 2x2)
    8x8 + 80x6 + 2x5 + 20x3
        
14.   Divide:
  • 5x2 - 6x - 26 / x - 3
    (5x + 9) with a remainder of 1
        
15.   Find the greatest common factor of the following terms:
  • 270, 260, 78
    2
        
  • 200x9y8, 90x9y8
    10x9y8
        
16.   Factor the following polynomials:
  • 20x4 - 10x3 - 30x2
    20x2(x + 1)(x -
    3
    2
    )
        
  • x2 + 5x + 4
    (x + 1)(x + 4)
        
  • x4 - 6x3 + 8x2
    x2(x - 4)(x - 2)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -1
    and
    -4


        
  • x =
    0
    ,
    4

    and
    2
        
18.   You have 5 pants, 3 shirts, and 2 shoes. How many different ways can you dress?
  • 30
        
19.   Use the following data to construct a box and whiskers plot:
  • 11, 36, 4, 7, 8, 22, 33
        
20.   A bag contains 7 blue balls, 6 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?
    13.33%
        
  • A blue ball or red ball?
    86.67%
        
  • Two red balls?
    16.00%
        
  • A blue ball and a white ball?
    6.22%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 8
    x - y = -1
    A(3.5,4.5)
        
  • 5x - y = 4
    8x + 12y = 20

    B(1,1)
        
22.   Write the following fractions in simplest form:
  • 4x7y2
    2x4y7
    2x3
    y5
        
  • (x - 5)
    (x2 - 10x + 25)
    1
    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.
  • 14x = x2 + 49
    x1 = 7,   x2 = 7
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.56
    51
    90
        
25.   Solve the following equation:
  • x + 1
    - 7 = 10
    x = 288
        
26.   Rationalize the denominator of each fraction below:
  • 49
    7 -
    14
    49 + 7
    14
    5
        
27.   Use a trigonometric ratio to find x:
x = 27.71 cm
    
28.   The sum of two consecutive odd integers is 28. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=13, b=15
    
29.   After you leave your house, you walk 12 blocks east and 5 blocks north. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   The length of a rectangle is 8 less than 2 times the width. What are the dimensions of the rectangle if the area is 120ft2?
  • width = 10,  length = 12
        


To print this algebra practice test, click here.



Name _____________________                                        Date:_____________________


Current difficulty level: Choose test difficulty:         Easy              Challenging
(current difficulty level: Challenging)

                           

Solve the following problems:

Important instructions

(or click here to generate a new test)
1.   Multiply:   4 and -46? -184
    
2.   Add:   -96 and -44? -140
    
3.   Divide:   -22 and 1? -22
    
4.   Substract:   -11 and 30? -41
    
5.   Calculate: |11 + 53 · 92 + 62| 4949
    
6.   Simplify the following expressions:
  • 19x – 60x + -50x -91x
        
  • 67 – -71x + 47y – -29x 67+100x+47y
        
  • 20x – -99z + 99x + -94z – -40y + 54z 119x+40y+59z
        
  • y93 × y89 × y35 × y-64 y153
        
  • x100
    x21
    x79
        
  • (3x2)10 59049x20
        
7.   Which of the following expressions show the associative property?
  • -6 × ( y + 8 + 5 ) = -6×y + -6×8 + -6×5
  • ( 6 × 2 ) × 3 = 6 × ( 2 × 3 )
  • 0 + -5x = -5x
  • ( x + y ) × 4 = 4 × ( y + x )
B
    
8.   Which properties are illustrated by the following three expressions?
  • ( v + w ) + u = v + ( w + u )
  • -9 × ( -14 + 18) = -9 × -14 + -9 × 18
  • (y + 10) × (x + -6) = (x + -6) × (y + 10)
  • Identity property of addition, Associative property of addition and Associative property of multiplication
  • Commutative property of multiplication, Distributive property and Associative property of multiplication
  • Associative property of multiplication, Identity property of addition and Distributive property
  • Associative property of addition, Distributive property and Commutative property of multiplication
D
    
9.   Solve the following equations for x:
  • -x · -2 = -8 x = -4
        
  • -
    4
    5
    = -
    2
    5
    x x = 2
        
  • 41x – 47 = -6 x = 1
        
  • g = bx x = g/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -23x + 19 ≥ -27 x ≤ 2
        
  • x ≠ 736
  • 52 < x ≤ -63
  • 12
    2
    x > -
    36
    2
    x > -3
        
11.   Convert the following numbers into scientific notation:
  • 0.000941 9.41 × 10-4
        
  • 65700000 6.57 × 107
        
12.   Add the following polynomials:
  • 15z10 + 11z8 + 3z5 + -12z3 + 8z1  and  -18z10 + 20z9
    -3z10 + 20z9 + 11z8 + 3z5 + -12z3 + 8z1
        
  • -15z9 + 25z7 + 33z4 + 21z3  and  -19z19 + 42z9 + 12z7 + 9z4 + -3z3 -19z19 + 27z9 + 37z7 + 42z4 + 18z3
        
13.   Multiply the following polynomials and simplify:
  • (6x5 + 3x - 10)(5x5 + 6)
    30x10 + 15x6 - 14x5 + 18x - 60
        
  • (10x5 + 3x)(2x4 + 3x3 + 9)
    20x9 + 30x8 + 96x5 + 9x4 + 27x
        
14.   Divide:
  • 4x3 - 10x2 + 32x - 80 / 4x - 10
    x2 + 8
        
15.   Find the greatest common factor of the following terms:
  • 360, 252
    36
        
  • 468x4y10, 315x9y3
    9x4y3
        
16.   Factor the following polynomials:
  • 24x3 - 54x2 + 24x
    24x(x -
    9 +
    17
    8
    )(x -
    9 -
    17
    8
    )
        
  • x2 - 6x - 40
    (x - 10)(x + 4)
        
  • x9 + 5x8 - 126x7
    x7(x - 9)(x + 14)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    10
    and
    -4


        
  • x =
    0
    ,
    9

    and
    -14
        
18.   You have 8 books to read. How many different ways can you read your books?
  • 40320
        
19.   Use the following data to construct a box and whiskers plot:
  • 15, 1, 11, 7, 28, 32, 9
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 5
  • What is the probability of getting tails and 2?
    10.00%
        
  • What is the probability of getting tails and an odd number?
    20%
        
  • What is the probability of getting heads and a multiple of 2?
    20%
        
  • What is the probability of getting heads and a prime number?
    30%
        
  • What is the probability of not heads and not 4?
    40%
        
  • 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 = -3
    x - y = 6
    A(1.5,-4.5)
        
  • 9x - 5y = 3
    5x + 6y = -19

    B(-0.97,-2.35)
        
22.   Write the following fractions in simplest form:
  • 3x2y
    9x8y4
    1
    3x6y3
        
  • x8 + 7x7 - 18x6
    x3(x - 2)
    x3(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.
  • 12x + 11 = -x2
    x1 = -1,   x2 = -11
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.123
    123
    999
        
25.   Solve the following equation:
  • 11 -
    x + 5
    = 8
    x = 4
        
26.   Rationalize the denominator of each fraction below:
  • 7
    3 -
    14
    -
    21 + 7
    14
    5
        
27.   Use a trigonometric ratio to find x:
x = 24.25 cm
    
28.   The sum of two consecutive odd integers is 40. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=19, b=21
    
29.   After you leave your house, you walk 6 blocks east and 8 blocks north. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   A rectangle has a width that is 8 m less than its length. The area of the rectangle is 105m2. What are the dimensions of the rectangle?
  • width = 7,  length = 15
        


To print this algebra practice test, click here.



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