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:   -10 and 2? -20
    
2.   Add:   15 and -8? 7
    
3.   Divide:   8 and -8? -1
    
4.   Substract:   -10 and -12? 2
    
5.   Calculate: |-16 · -10 + 5 · 13| 225
    
6.   Simplify the following expressions:
  • 17x + 14x + 10x 41x
        
  • -4y – 19x – -11y – 3y -19x+4y
        
  • 11x – 20x + -3y – -11x – 18x – 20x -36x-3y
        
  • y-5 × x17 x17 × y-5
        
  • x-14
    x-16
    x2
        
  • (10x3)4 10000x12
        
7.   Which of the following expressions show the associative property?
  • ( x + y ) × 5 = 5 × ( y + x )
  • 2 × ( x + 7 + 4 ) = 2×x + 2×7 + 2×4
  • ( x + y ) + z = x + ( y + z )
  • 9 + 10u + 4
C
    
8.   Which properties are illustrated by the following three expressions?
  • g + ( h + 0 ) = ( g + h ) + 0
  • 6 × ( 15 × -4 ) = ( 6 × 15 ) × -4
  • 1 × (t + 11) = t + 11
  • Associative property of addition, Associative property of multiplication and Identity property of multiplication
  • Distributive property, Commutative property of multiplication and Identity property of multiplication
  • Identity property of multiplication, Distributive property and Commutative property of addition
  • Associative property of addition, Associative property of multiplication and Identity property of addition
A
    
9.   Solve the following equations for x:
  • 94 + x = 95 x = 1
        
  • 28
    19
    = -
    1
    19
    x x = -28
        
  • -47 = 8 – 5x x = 11
        
  • bx = a x = a/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x + -26 > 36 x < -62
        
  • x ≠ -796
  • -22 > x > 24
  • -
    40
    20
    x ≥
    36
    3
    x ≤ -6
        
11.   Convert the following numbers into scientific notation:
  • 0.000000816 8.16 × 10-7
        
  • 90800000 9.08 × 107
        
12.   Add the following polynomials:
  • -11z3 + 2z2  and  -14z5 + 6z3
    -14z5 + -5z3 + 2z2
        
  • -5z14 + 9z6 + 2z4 + -11  and  9z14 + 1z6 + -1z5 + -2z4 + -6 4z14 + 10z6 + -1z5 + -17
        
13.   Multiply the following polynomials and simplify:
  • (7x4 + x3 + 3x)(9x4 + x2)
    63x8 + 9x7 + 7x6 + 28x5 + 3x3
        
  • (8x5 + 9x2 + 2x)(2x5 + 3x2)
    16x10 + 42x7 + 4x6 + 27x4 + 6x3
        
14.   Divide:
  • x2 - 36 / x + 6
    x - 6
        
15.   Find the greatest common factor of the following terms:
  • 54, 72, 9
    9
        
  • 55x4y9, 30x8y
    5x4y
        
16.   Factor the following polynomials:
  • 6x5 + 4x4 - 2x3
    6x3(x + 1)(x -
    1
    3
    )
        
  • x2 - 7x - 18
    (x + 2)(x - 9)
        
  • x4 + 9x3 - 52x2
    x2(x - 4)(x + 13)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -2
    and
    9


        
  • x =
    0
    ,
    4

    and
    -13
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one, two, or three scoops. Flavors can be chocolate or vanilla. How many choices do you have?
  • 12
        
19.   Use the following data to construct a box and whiskers plot:
  • 28, 3, 21, 33, 27, 2, 31, 22, 29
        
20.   A bag contains 5 blue balls, 2 red balls, and 4 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    36.36%
        
  • A blue ball or red ball?
    63.64%
        
  • Two red balls?
    3.31%
        
  • A blue ball and a white ball?
    16.53%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -9
    x - y = -19
    A(-14,5)
        
  • 9x - 8y = -11
    4x + 6y = 9

    B(0.07,1.45)
        
22.   Write the following fractions in simplest form:
  • 6xy4
    24xy4
    1
    4
        
  • x8 - 9x7 + 20x6
    x(x - 4)
    x5(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.
  • -8x + 12 = -x2
    x1 = 6,   x2 = 2
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.9158
    9067
    9900
        
25.   Solve the following equation:
  • -8
    x
    + 18 = -6
    x
    - 10
    x = 196
        
26.   Rationalize the denominator of each fraction below:
  • 5
    3
    6 +
    10
    30
    3
    - 5
    30
    26
        
27.   Use a trigonometric ratio to find x:
x = 9.24 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 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 length 10 m greater than its width. The area of the rectangle is 144m2. What are the length and width of the rectangle?
  • width = 8,  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:   10 and -17? -170
    
2.   Add:   2 and -1? 1
    
3.   Divide:   -20 and 2? -10
    
4.   Substract:   -16 and 1? -17
    
5.   Calculate: |13 · -19 + -6| 253
    
6.   Simplify the following expressions:
  • 6 + 4 + -2x 10-2x
        
  • 8x + -10x + -12 – 15y -12-2x-15y
        
  • -13y + -1z + -2y – -9z + -15x -15x-15y+8z
        
  • x-1 × x-10 × x-18 × y-11 x-29 × y-11
        
  • x8
    x10
    x-2
        
  • (10x3)10 10000000000x30
        
7.   Which of the following expressions show the associative property?
  • ( m + n ) × 5 = 5 × ( m + n )
  • b × ( c + 5 ) = bc + 5c
  • 2 + -9 = -9 + 2
  • ( x + y ) + z = x + ( y + z )
D
    
8.   Which properties are illustrated by the following three expressions?
  • 4x + 14 = 14 + 4x
  • ( z + 0 ) × y = z × y + 0 × y
  • 0 + b + c + d = b + c + d
  • Commutative property of addition, Distributive property and Identity property of addition
  • Associative property of multiplication, Identity property of addition and Commutative property of addition
  • Associative property of multiplication, Commutative property of addition and Associative property of addition
  • Distributive property, Associative property of multiplication and Commutative property of addition
A
    
9.   Solve the following equations for x:
  • x · 35 = -35 x = -1
        
  • 14
    4
    = -
    7
    4
    x x = -2
        
  • -5x + 58 = 98 x = -8
        
  • -c = bx + fx x = (-c)/(b+f)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x – -23 < -18 x < -41
        
  • x ≠ 239
  • -19 ≤ x ≥ 45
  • -
    16
    8
    x >
    20
    10
    x < -1
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000611 6.11 × 10-9
        
  • 396000000 3.96 × 108
        
12.   Add the following polynomials:
  • -6z10 + 8z6 + 11z5  and  -14z10 + -9z8 + -5z6 + -6z5 + -8
    -20z10 + -9z8 + 3z6 + 5z5 + -8
        
  • -9z19 + 10z12 + -7z10  and  14z19 + -3z10 + 9z10 5z19 + 10z12 + -1z10
        
13.   Multiply the following polynomials and simplify:
  • 6x2(7x5 + 10x4 + 10x)
    42x7 + 60x6 + 60x3
        
  • (5x5 + 6x3 + 9x2)(5x4 + x3 + 2)
    25x9 + 5x8 + 30x7 + 51x6 + 19x5 + 12x3 + 18x2
        
14.   Divide:
  • 16x2 + 12x - 40 / 4x - 5
    4x + 8
        
15.   Find the greatest common factor of the following terms:
  • 75, 42
    3
        
  • 78x9y7, 13x8y8, 60x10
    x8
        
16.   Factor the following polynomials:
  • 8x3 + 44x2 - 24x
    8x(x -
    1
    2
    )(x + 6)
        
  • x2 + 3x - 18
    (x - 3)(x + 6)
        
  • x6 - 10x5 - 75x4
    x4(x + 5)(x - 15)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    3
    and
    -6


        
  • x =
    0
    ,
    -5

    and
    15
        
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:
  • 7, 36, 8, 20, 4, 21, 13, 19, 11, 32
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 14
  • What is the probability of getting heads and 13?
    3.57%
        
  • What is the probability of getting tails and an even number?
    25%
        
  • What is the probability of getting heads and a multiple of 6?
    7.14%
        
  • What is the probability of getting heads and a prime number?
    21.43%
        
  • What is the probability of not heads and not 2?
    46.43%
        
  • 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 = -8
    x - y = -19
    A(-13.5,5.5)
        
  • 5x - 4y = -18
    3x + 7y = 5

    B(-2.26,1.68)
        
22.   Write the following fractions in simplest form:
  • 10x4y6
    40x6y3
    y3
    4x2
        
  • x5 - 9x4 - 10x3
    x6(x - 10)
    (x + 1)
    x3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -5x - 36 = -x2
    x1 = 9,   x2 = -4
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.13
    13
    99
        
25.   Solve the following equation:
  • 4x + 5
    + 2 = 9
    x = 11
        
26.   Rationalize the denominator of each fraction below:
  • 7
    25
    7
    5
        
27.   Use a trigonometric ratio to find x:
x = 15.56 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 12 blocks east 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 4 more than twice its width. The area of the rectangle is 30ft2. What is the length and width of the rectangle?
  • width = 3,  length = 10
        


To print this algebra practice test, click here.



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