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:   12 and 6? 72
    
2.   Add:   9 and 6? 15
    
3.   Divide:   17 and 17? 1
    
4.   Substract:   -18 and 10? -28
    
5.   Calculate: |16 · 3 + -18 · -7| 174
    
6.   Simplify the following expressions:
  • -9 + 2 – -3x -7+3x
        
  • -17x – -9x + -5y – 9x -17x-5y
        
  • 16x + 15y + 6x + 18z – -17x 39x+15y+18z
        
  • x3 × y-7 x3 × y-7
        
  • x5
    x9
    x-4
        
  • (2x5)10 1024x50
        
7.   Which of the following expressions show the associative property?
  • 0 + -8x = -8x
  • 3 + 4z + 9
  • ( m + n ) + p = m + ( n + p )
  • 1x + -5 = -5 + 1x
C
    
8.   Which properties are illustrated by the following three expressions?
  • ( -7 + 3 ) + -12 = -7 + ( 3 + -12 )
  • (z + 5) × (y + 7) = (y + 7) × (z + 5)
  • ( i × 1 ) × h = i × ( 1 × h )
  • Associative property of addition, Commutative property of multiplication and Associative property of multiplication
  • Associative property of multiplication, Commutative property of addition and Identity property of multiplication
  • Identity property of addition, Commutative property of addition and Identity property of multiplication
  • Commutative property of multiplication, Identity property of addition and Identity property of multiplication
A
    
9.   Solve the following equations for x:
  • -x + -52 = -40 x = -12
        
  • -
    21
    14
    =
    1
    2
    x x = -3
        
  • -12 = 44x + 76 x = -2
        
  • bx = f + ax x = f/(b-a)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -4x – -34 ≥ -6 x ≤ 10
        
  • x ≠ -633
  • -90 > x > 83
  • 15
    5
    x < -
    21
    7
    x < -1
        
11.   Convert the following numbers into scientific notation:
  • 0.000000715 7.15 × 10-7
        
  • 826000000000 8.26 × 1011
        
12.   Add the following polynomials:
  • 4z9 + -9z7 + 8z6 + 7z3  and  -2z9 + -9z7 + 13z6 + 5z4
    2z9 + -18z7 + 21z6 + 5z4 + 7z3
        
  • 4z18 + -15z8 + 15z8 + -15z6 + 1z3  and  -12z17 + 7z13 + 5z8 + 7z6 + 5z5 4z18 + -12z17 + 7z13 + 5z8 + -8z6 + 5z5 + 1z3
        
13.   Multiply the following polynomials and simplify:
  • (1x5 + 2x4)7x2
    7x7 + 14x6
        
  • (1x4 + 7x + 2)(5x5 + 3x3)
    5x9 + 3x7 + 35x6 + 10x5 + 21x4 + 6x3
        
14.   Divide:
  • x3 - 8x2 - 2x + 16 / x - 8
    x2 - 2
        
15.   Find the greatest common factor of the following terms:
  • 22, 80
    2
        
  • 11xy5, 45xy10, 88x2y6
    xy5
        
16.   Factor the following polynomials:
  • 34x4 + 42x3 - 52x2
    34x2(x -
    13
    17
    )(x + 2)
        
  • x2 - 16x + 64
    (x - 8)(x - 8)
        
  • x4 + 11x3 + 28x2
    x2(x + 4)(x + 7)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    8
    and
    8


        
  • x =
    0
    ,
    -4

    and
    -7
        
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:
  • 4, 30, 21, 17, 2, 25, 33, 1, 16
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 15
  • What is the probability of getting heads and 9?
    3.33%
        
  • What is the probability of getting heads and an even number?
    23.33%
        
  • What is the probability of getting heads and a multiple of 4?
    10%
        
  • What is the probability of getting heads and a prime number?
    20%
        
  • What is the probability of not tails and not 9?
    46.67%
        
  • 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 = 9
    x - y = 3
    A(6,3)
        
  • 5x - 7y = 15
    10x + 4y = 5

    B(1.06,-1.39)
        
22.   Write the following fractions in simplest form:
  • 66x9y10
    22x8y7
    3xy3
        
  • (x - 5)2
    (x - 5)5
    1
    (x - 5)3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -x2 = -16x + 28
    x1 = 14,   x2 = 2
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.14
    13
    90
        
25.   Solve the following equation:
  • -14
    x
    + 4 = -13
    x
    + 3
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 2
    20
    5
    5
        
27.   Use a trigonometric ratio to find x:
x = 34.00 cm
    
28.   The sum of two consecutive odd integers is 16. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=7, b=9
    
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 a length 10 m greater than its width. The area of the rectangle is 299m2. What are the length and width of the rectangle?
  • width = 13,  length = 23
        


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:   -4 and -6? 24
    
2.   Add:   4 and -1? 3
    
3.   Divide:   -9 and -3? 3
    
4.   Substract:   -17 and -12? -5
    
5.   Calculate: |6 · 14 + -14 · 11| 70
    
6.   Simplify the following expressions:
  • -5x – 15x – -16x -4x
        
  • 9 + -15x + 2x – 12 -3-13x
        
  • 19x + 13x + 19 + 11z – 14 5+32x+11z
        
  • y-12 × y9 × x1 x1 × y-3
        
  • x-13
    x-18
    x5
        
  • (10x5)7 10000000x35
        
7.   Which of the following expressions show the associative property?
  • 3 × 1 = 3
  • -2 × ( x + 2 + 6 ) = -2×x + -2×2 + -2×6
  • ( m + n ) + 3 = m + ( n + 3 )
  • ( 9 + -1 ) × -6 = -6 × ( 9 + -1 )
C
    
8.   Which properties are illustrated by the following three expressions?
  • x + y + 15 = 15 + x + y
  • r × ( s × 1 ) = ( r × s ) × 1
  • ( 5 + 18 ) + -8 = 5 + ( 18 + -8 )
  • Commutative property of multiplication, Associative property of addition and Commutative property of addition
  • Commutative property of addition, Associative property of addition and Distributive property
  • Identity property of addition, Identity property of multiplication and Commutative property of multiplication
  • Commutative property of addition, Associative property of multiplication and Associative property of addition
D
    
9.   Solve the following equations for x:
  • -x – 57 = -10 x = -47
        
  • 6
    26
    x = -
    6
    26
    x = -1
        
  • -5x – 22 = -12 x = -2
        
  • -ex + ax = g x = g/(-e+a)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x + 4 > -5 x < 9
        
  • x ≠ 796
  • 22 ≥ x > -35
  • -
    8
    4
    x <
    36
    3
    x > -6
        
11.   Convert the following numbers into scientific notation:
  • 0.000000868 8.68 × 10-7
        
  • 68500000000 6.85 × 1010
        
12.   Add the following polynomials:
  • -3z10 + -4z9 + 3z7 + 8z5 + -10z3  and  10z9 + -10z7
    -3z10 + 6z9 + -7z7 + 8z5 + -10z3
        
  • 6z18 + -3z14 + -14z2  and  -1z18 + 9z14 + 7z6 + 2z2 5z18 + 6z14 + 7z6 + -12z2
        
13.   Multiply the following polynomials and simplify:
  • (2x5 + x3)(10x5 + x3 - 4)
    20x10 + 12x8 + x6 - 8x5 - 4x3
        
  • (2x5 + 4x4 + 8x)(5x2 + 4x - 6)
    10x7 + 28x6 + 4x5 - 24x4 + 40x3 + 32x2 - 48x
        
14.   Divide:
  • 4x3 + 10x2 + 12x + 30 / 2x + 5
    2x2 + 6
        
15.   Find the greatest common factor of the following terms:
  • 36, 54
    18
        
  • 30y9, 39x2y6
    3y6
        
16.   Factor the following polynomials:
  • 12x4 - 35x3 - 68x2
    12x2(x +
    4
    3
    )(x -
    17
    4
    )
        
  • x2 - x - 20
    (x + 4)(x - 5)
        
  • x5 + 22x4 + 117x3
    x3(x + 13)(x + 9)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -4
    and
    5


        
  • x =
    0
    ,
    -13

    and
    -9
        
18.   You have 5 CDs. How many different ways can you listen to them?
  • 120
        
19.   Use the following data to construct a box and whiskers plot:
  • 33, 1, 36, 32, 30, 38, 5, 22
        
20.   A bag contains 2 blue balls, 3 red balls, and 3 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    37.50%
        
  • A blue ball or red ball?
    62.50%
        
  • Two red balls?
    14.06%
        
  • A blue ball and a white ball?
    9.38%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 1
    x - y = -9
    A(-4,5)
        
  • 5x - 6y = -10
    5x + 2y = -14

    B(-2.6,-0.5)
        
22.   Write the following fractions in simplest form:
  • 18x10y6
    36x8y4
    x2y2
    2
        
  • x8 + 6x7 - 7x6
    x5(x - 1)
    x(x + 7)
        
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 + 45
    x1 = 9,   x2 = 5
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.49
    45
    90
        
25.   Solve the following equation:
  • 6 +
    x - 10
    = 20
    x = 206
        
26.   Rationalize the denominator of each fraction below:
  • 3
    3
    3
        
27.   Use a trigonometric ratio to find x:
x = 21.94 cm
    
28.   The sum of two consecutive even integers is 58. What are the integers? (Hint: use 2x as the first even integer)
a=28, b=30
    
29.   After you leave your house, you walk 12 blocks west and 16 blocks south. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   The length of a rectangle is 5 less than 5 times the width. What are the dimensions of the rectangle if the area is 210ft2?
  • width = 7,  length = 30
        


To print this algebra practice test, click here.



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