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:   2 and -19? -38
    
2.   Add:   -12 and 17? 5
    
3.   Divide:   -9 and 9? -1
    
4.   Substract:   -10 and 11? -21
    
5.   Calculate: |18 · -11 + -20| 218
    
6.   Simplify the following expressions:
  • -3 – 2x + 16 13-2x
        
  • 10y + -3y – 8y – 20 -20-1y
        
  • -13x – -18y + -14 – -3y + 5y + -11 -25-13x+26y
        
  • y19 × x2 × y13 × y19 x2 × y51
        
  • x6
    x-19
    x25
        
  • (9x5)10 3486784401x50
        
7.   Which of the following expressions show the associative property?
  • 10 × 1 = 10
  • ( m × n ) + 4 = 4 + ( m × n )
  • -1 × ( y + 9 + 7 ) = -1×y + -1×9 + -1×7
  • ( x × y ) × z = x × ( y × z )
D
    
8.   Which properties are illustrated by the following three expressions?
  • 58 × 1 = 58
  • 13 × ( 20 + 16) = 13 × 20 + 13 × 16
  • -14 × 1 = -14 × 1
  • Associative property of addition, Commutative property of multiplication and Commutative property of addition
  • Identity property of multiplication, Distributive property and Commutative property of multiplication
  • Commutative property of addition, Commutative property of multiplication and Identity property of addition
  • Identity property of multiplication, Commutative property of multiplication and Identity property of addition
B
    
9.   Solve the following equations for x:
  • x + -33 = 86 x = 119
        
  • 1
    28
    x = -
    5
    28
    x = -5
        
  • -31 = -53 + -22x x = -1
        
  • ex – a = -gx x = a/(e+g)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 5x + 15 ≤ 10 x ≤ -1
        
  • x ≠ 259
  • -85 ≥ x ≥ -39
  • 34
    17
    x <
    8
    2
    x < 2
        
11.   Convert the following numbers into scientific notation:
  • 0.000000136 1.36 × 10-7
        
  • 395000000000 3.95 × 1011
        
12.   Add the following polynomials:
  • -10z10 + -5z9 + -1z1 + 6  and  13z10 + -1z9 + -10
    3z10 + -6z9 + -1z1 + -4
        
  • -7z19 + 9z16 + 1z7 + -10  and  2z19 + -6z16 + -11z13 + -7 -5z19 + 3z16 + -11z13 + 1z7 + -17
        
13.   Multiply the following polynomials and simplify:
  • 7x4(2x3 + 8x)
    14x7 + 56x5
        
  • (8x4 + 6x2)(6x3 + x)
    48x7 + 44x5 + 6x3
        
14.   Divide:
  • 15x2 + 16x - 15 / 3x + 5
    5x - 3
        
15.   Find the greatest common factor of the following terms:
  • 55, 80, 10
    5
        
  • 36x6y8, 28x8y6
    4x6y6
        
16.   Factor the following polynomials:
  • 11x4 + 33x3 - 44x2
    11x2(x + 4)(x - 1)
        
  • x2 - 11x + 24
    (x - 3)(x - 8)
        
  • x6 - 5x5 - 104x4
    x4(x - 13)(x + 8)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    3
    and
    8


        
  • x =
    0
    ,
    13

    and
    -8
        
18.   You have 4 pants, 5 shirts, and 5 shoes. How many different ways can you dress?
  • 100
        
19.   Use the following data to construct a box and whiskers plot:
  • 20, 7, 19, 22, 27, 37, 25
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 16
  • What is the probability of getting heads and 13?
    3.13%
        
  • What is the probability of getting tails and an even number?
    25%
        
  • What is the probability of getting heads and a multiple of 5?
    9.38%
        
  • What is the probability of getting tails and a prime number?
    18.75%
        
  • What is the probability of not tails and not 10?
    46.88%
        
  • 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 = -18
    x - y = -5
    A(-11.5,-6.5)
        
  • 5x - 5y = -15
    8x + 14y = 20

    B(-1,2)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x6(x - 3)
    x5 + 6x4 - 27x3
    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.
  • -x2 = 12x - 45
    x1 = 3,   x2 = -15
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.2204
    2202
    9990
        
25.   Solve the following equation:
  • -4
    x
    + 10 = -9
    x
    + 20
    x = 4
        
26.   Rationalize the denominator of each fraction below:
  • 25
    25 -
    2
    625 + 25
    2
    623
        
27.   Use a trigonometric ratio to find x:
x = 22.00 cm
    
28.   The sum of two consecutive even integers is 50. What are the integers? (Hint: use 2x as the first even integer)
a=24, b=26
    
29.   After you leave your house, you walk 3 blocks south and 4 blocks west. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   The length of a rectangle is 2 less than 2 times the width. What are the dimensions of the rectangle if the area is 180m2?
  • width = 10,  length = 18
        


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:   7 and -6? -42
    
2.   Add:   15 and 19? 34
    
3.   Divide:   -6 and -6? 1
    
4.   Substract:   20 and 13? 7
    
5.   Calculate: |-2 + -15 · -2 + 5| 33
    
6.   Simplify the following expressions:
  • -6x – 12x – -8x -10x
        
  • -5y – 18x + 8 – 18y 8-18x-23y
        
  • 6z + 13y – 16y + -12z – 4 + 6x -4+6x-3y-6z
        
  • x10 × x18 × x-6 x22
        
  • x-11
    x8
    x-19
        
  • (6x5)6 46656x30
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) + 2 = 2 + ( m × n )
  • 5 × ( x + 7 + 9 ) = 5×x + 5×7 + 5×9
  • ( x × y ) × z = x × ( y × z )
  • 0 + 5x = 5x
C
    
8.   Which properties are illustrated by the following three expressions?
  • ( j + 0 ) + i = j + ( 0 + i )
  • b + c + 20 = 20 + b + c
  • -87 × 1 = -87
  • Distributive property, Identity property of addition and Identity property of multiplication
  • Identity property of multiplication, Associative property of multiplication and Commutative property of multiplication
  • Associative property of addition, Commutative property of addition and Identity property of multiplication
  • Associative property of multiplication, Commutative property of addition and Associative property of addition
C
    
9.   Solve the following equations for x:
  • 66 = x + -85 x = 151
        
  • 1
    22
    x =
    10
    22
    x = 10
        
  • -61 = 82x + 21 x = -1
        
  • e = fx x = e/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x + -30 ≥ 15 x ≤ -45
        
  • x ≠ 276
  • -82 ≤ x < -38
  • 6
    3
    x > 40 x > 20
        
11.   Convert the following numbers into scientific notation:
  • 0.0000926 9.26 × 10-5
        
  • 1980000000 1.98 × 109
        
12.   Add the following polynomials:
  • 2z9 + 9z8  and  15z9 + -4z8 + 12z2 + 7z1
    17z9 + 5z8 + 12z2 + 7z1
        
  • 9z17 + -13z8 + 9  and  8z18 + -14z17 + 1z8 8z18 + -5z17 + -12z8 + 9
        
13.   Multiply the following polynomials and simplify:
  • (1x5 + 5x4 + 10x3)(4x3 + 4x2 - 4)
    4x8 + 24x7 + 60x6 + 36x5 - 20x4 - 40x3
        
  • (2x5 + 6)(4x3 + 10x)
    8x8 + 20x6 + 24x3 + 60x
        
14.   Divide:
  • 2x3 - 12x2 + 8x - 48 / x - 6
    2x2 + 8
        
15.   Find the greatest common factor of the following terms:
  • 13, 90
    1
        
  • 99x5y2, 48x3, 27x2y5
    3x2
        
16.   Factor the following polynomials:
  • 10x3 - 75x2 + 65x
    10x(x -
    13
    2
    )(x - 1)
        
  • x2 + 9x - 10
    (x + 10)(x - 1)
        
  • x8 - 9x7 - 10x6
    x6(x + 1)(x - 10)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -10
    and
    1


        
  • x =
    0
    ,
    -1

    and
    10
        
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, 8, 17, 22, 37, 32
        
20.   A bag contains 4 blue balls, 5 red balls, and 7 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    43.75%
        
  • A blue ball or red ball?
    56.25%
        
  • Two red balls?
    9.77%
        
  • A blue ball and a white ball?
    10.94%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -5
    x - y = -12
    A(-8.5,3.5)
        
  • 2x - 9y = 1
    8x + 7y = -10

    B(-0.97,-0.33)
        
22.   Write the following fractions in simplest form:
  • 16x6y10
    8x7y
    2y9
    x
        
  • x7 + 3x6 - 54x5
    x2(x + 9)
    x3(x - 6)
        
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 = -22
    x1 = 2,   x2 = 11
        
24.   Convert the following repeating decimal into a fraction:
  • x = 3.196
    3165
    990
        
25.   Solve the following equation:
  • 28
    x
    = 2
    x = 7
        
26.   Rationalize the denominator of each fraction below:
  • 21
    10 +
    2
    30 - 3
    2
    14
        
27.   Use a trigonometric ratio to find x:
x = 32.00 cm
    
28.   The sum of two consecutive even integers is 26. What are the integers? (Hint: use 2x as the first even integer)
a=12, b=14
    
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 9 ft greater than its width. The area of the rectangle is 162ft2. What are the length and width of the rectangle?
  • width = 9,  length = 18
        


To print this algebra practice test, click here.



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