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:   20 and -16? -320
    
2.   Add:   -12 and 17? 5
    
3.   Divide:   -13 and -13? 1
    
4.   Substract:   3 and -7? 10
    
5.   Calculate: |-6 · -15 + 18 · 17| 396
    
6.   Simplify the following expressions:
  • 6x – -10x + -12 -12+16x
        
  • -14 – 18 + 5y – -12x -32+12x+5y
        
  • -9x – 2x + -9z – -14x + 3y 3x+3y-9z
        
  • y17 × x16 × y20 x16 × y37
        
  • x2
    x8
    x-6
        
  • (6x)2 36x2
        
7.   Which of the following expressions show the associative property?
  • 6 × 1 = 6
  • ( m + n ) × 2 = 2 × ( m + n )
  • ( 2 × 5 ) × 3 = 2 × ( 5 × 3 )
  • 10 × 6 = 6 × 10
C
    
8.   Which properties are illustrated by the following three expressions?
  • r + s + 14 = 14 + r + s
  • -11 + ( 3 + -18 ) = ( -11 + 3 ) + -18
  • x × ( y + 1 ) = x × y + x × 1
  • Commutative property of addition, Associative property of addition and Distributive property
  • Associative property of addition, Associative property of multiplication and Commutative property of addition
  • Commutative property of addition, Commutative property of multiplication and Identity property of multiplication
  • Commutative property of multiplication, Commutative property of addition and Distributive property
A
    
9.   Solve the following equations for x:
  • 17 = 46 – -x x = -29
        
  • -
    23
    16
    = -
    23
    16
    x x = 1
        
  • 2x – 30 = 96 x = 63
        
  • a = -gx x = -a/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 3x – -23 > 26 x > 1
        
  • x ≠ -453
  • -17 < x > 58
  • 33
    11
    x <
    18
    6
    x < 1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000108 1.08 × 10-5
        
  • 765000 7.65 × 105
        
12.   Add the following polynomials:
  • 8z10 + -14z8 + 9  and  8z10 + -13z8 + -8
    16z10 + -27z8 + 1
        
  • -9z17 + -2z16 + -9z8 + -5z4  and  11z11 + -6z8 + -2z5 + -13z4 -9z17 + -2z16 + 11z11 + -15z8 + -2z5 + -18z4
        
13.   Multiply the following polynomials and simplify:
  • 10x2(3x5 + 10x4 + 3x3)
    30x7 + 100x6 + 30x5
        
  • (7x5 + 4x4)(10x4 + 7x)
    70x9 + 40x8 + 49x6 + 28x5
        
14.   Divide:
  • 5x2 + 5x - 30 / 5x - 10
    x + 3
        
15.   Find the greatest common factor of the following terms:
  • 100, 24
    4
        
  • 36x9y9, 55x3y3
    x3y3
        
16.   Factor the following polynomials:
  • 8x4 - 7x3 - 18x2
    8x2(x - 2)(x +
    9
    8
    )
        
  • x2 + 12x + 27
    (x + 3)(x + 9)
        
  • x9 - 24x8 + 143x7
    x7(x - 13)(x - 11)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -3
    and
    -9


        
  • x =
    0
    ,
    13

    and
    11
        
18.   You are seating 4 people on 4 chairs. How many different ways can those people sit?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 35, 40, 36, 2, 33, 21, 25, 37, 9, 39
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 13
  • What is the probability of getting heads and 13?
    3.85%
        
  • What is the probability of getting tails and an even number?
    23.08%
        
  • What is the probability of getting heads and a multiple of 4?
    11.54%
        
  • What is the probability of getting tails and a prime number?
    23.08%
        
  • What is the probability of not heads and not 1?
    46.15%
        
  • 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 = -1
    x - y = -8
    A(-4.5,3.5)
        
  • 5x - 5y = 2
    8x + 5y = 1

    B(0.23,-0.17)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x4 + 4x3 - 12x2
    x(x + 6)
    x(x - 2)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 78 = 41x
    x1 = 2,   x2 = 39
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.3599
    3596
    9990
        
25.   Solve the following equation:
  • -1
    x
    - 13 = -3
    x
    - 9
    x = 4
        
26.   Rationalize the denominator of each fraction below:
  • 14
    10
    10 +
    7
    140
    10
    - 14
    70
    93
        
27.   Use a trigonometric ratio to find x:
x = 21.21 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 east and 6 blocks north. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   The length of a rectangle is 6 more than thrice its width. The area of the rectangle is 240m2. What is the length and width of the rectangle?
  • width = 8,  length = 30
        


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:   -5 and 14? -70
    
2.   Add:   16 and -5? 11
    
3.   Divide:   -14 and 1? -14
    
4.   Substract:   17 and -6? 23
    
5.   Calculate: |-17 · -10 + -13| 157
    
6.   Simplify the following expressions:
  • -17x + 3x – 13x -27x
        
  • -13 + 18 + -20x + 8y 5-20x+8y
        
  • -19 + -3 – 5y – -15x – 13x -22+2x-5y
        
  • x13 × y19 x13 × y19
        
  • x-9
    x8
    x-17
        
  • (2x5)9 512x45
        
7.   Which of the following expressions show the associative property?
  • 10 × 1 = 10
  • ( m × n ) × 2 = m × ( n × 2 )
  • ( x × y ) + 3 = 3 + ( y × x )
  • 0 + 10x = 10x
B
    
8.   Which properties are illustrated by the following three expressions?
  • g × ( h × i ) = ( g × h ) × i
  • -6x + 11 = 11 + -6x
  • -20 × 7 = -20 × 7
  • Commutative property of multiplication, Associative property of multiplication and Distributive property
  • Associative property of addition, Commutative property of multiplication and Associative property of multiplication
  • Identity property of multiplication, Commutative property of addition and Commutative property of multiplication
  • Associative property of multiplication, Commutative property of addition and Commutative property of multiplication
D
    
9.   Solve the following equations for x:
  • -9 = -x · -9 x = -1
        
  • 19
    5
    x = -
    19
    5
    x = -1
        
  • 5x – 66 = -91 x = -5
        
  • -b = fx + ax x = (-b)/(f+a)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 2x – -21 < -15 x < -18
        
  • x ≠ -384
  • -19 < x ≤ -24
  • -
    40
    20
    x > 10 x < -5
        
11.   Convert the following numbers into scientific notation:
  • 0.0000608 6.08 × 10-5
        
  • 43500000 4.35 × 107
        
12.   Add the following polynomials:
  • 4z10 + 7z4  and  11z10 + 13z7 + -14z4 + -4z3
    15z10 + 13z7 + -7z4 + -4z3
        
  • 5z17 + -2z6 + -12z5  and  6z18 + -14z17 + 10z12 + -2z7 6z18 + -9z17 + 10z12 + -2z7 + -2z6 + -12z5
        
13.   Multiply the following polynomials and simplify:
  • (6x5 + x)2x4
    12x9 + 2x5
        
  • (10x4 + 3x3)(2x5 + 10x)
    20x9 + 6x8 + 100x5 + 30x4
        
14.   Divide:
  • 20x2 - 48x + 16 / 4x - 8
    5x - 2
        
15.   Find the greatest common factor of the following terms:
  • 54, 75
    3
        
  • 26xy8, 33x2y8, 90x8y7
    xy7
        
16.   Factor the following polynomials:
  • 8x5 + 40x4 + 46x3
    8x3(x -
    -5 +
    2
    2
    )(x -
    -5 -
    2
    2
    )
        
  • x2 + 0x - 36
    (x + 6)(x - 6)
        
  • x8 - 6x7 - 7x6
    x6(x + 1)(x - 7)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -6
    and
    6


        
  • x =
    0
    ,
    -1

    and
    7
        
18.   You are seating 7 people on 7 chairs. How many different ways can those people sit?
  • 5040
        
19.   Use the following data to construct a box and whiskers plot:
  • 10, 27, 6, 34, 26, 28, 1, 36, 30
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 14
  • What is the probability of getting tails and 1?
    3.57%
        
  • What is the probability of getting tails and an odd number?
    25%
        
  • What is the probability of getting tails and a multiple of 6?
    7.14%
        
  • What is the probability of getting tails and a prime number?
    21.43%
        
  • What is the probability of not heads and not 10?
    46.43%
        
  • 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 tails?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 6
    x - y = -9
    A(-1.5,7.5)
        
  • 3x - 8y = -10
    8x + y = 1

    B(-0.03,1.24)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x2(x + 8)
    x6 + 17x5 + 72x4
    1
    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 - 2x = 35
    x1 = 7,   x2 = -5
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.258
    258
    999
        
25.   Solve the following equation:
  • -18
    x
    - 8 = -14
    x
    - 20
    x = 9
        
26.   Rationalize the denominator of each fraction below:
  • 15
    9 -
    6
    9 +
    6
    5
        
27.   Use a trigonometric ratio to find x:
x = 15.59 cm
    
28.   The sum of two consecutive even integers is 54. What are the integers? (Hint: use 2x as the first even integer)
a=26, b=28
    
29.   After you leave your house, you walk 4 blocks west and 3 blocks north. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   The length of a rectangle is 10 less than 2 times the width. What are the dimensions of the rectangle if the area is 100m2?
  • width = 10,  length = 10
        


To print this algebra practice test, click here.



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