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 -13? 130
    
2.   Add:   20 and -15? 5
    
3.   Divide:   -4 and 4? -1
    
4.   Substract:   4 and 9? -5
    
5.   Calculate: |18 + -12 · -19| 246
    
6.   Simplify the following expressions:
  • -9x + 12x + 1x 4x
        
  • 11x + 12x – 5x – 14x 4x
        
  • -4x + 13x – -9x – 9 – -1 -8+18x
        
  • x5 × x-15 x-10
        
  • x-8
    x-16
    x8
        
  • (6x3)8 1679616x24
        
7.   Which of the following expressions show the associative property?
  • h × ( i + 8 ) = hi + 8i
  • 2( 9 + 2 ) = 2×9 + 2×2
  • -6x + -10 = -10 + -6x
  • ( 5 × 8 ) × 3 = 5 × ( 8 × 3 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • s + t + u + 0 = s + t + u
  • ( -18 × -19 ) × 9 = -18 × ( -19 × 9 )
  • 12 + j + k = j + k + 12
  • Identity property of addition, Associative property of addition and Associative property of multiplication
  • Commutative property of multiplication, Identity property of addition and Associative property of multiplication
  • Identity property of multiplication, Associative property of multiplication and Associative property of addition
  • Identity property of addition, Associative property of multiplication and Commutative property of addition
D
    
9.   Solve the following equations for x:
  • 21 · -x = 63 x = -3
        
  • 30
    28
    =
    5
    14
    x x = 3
        
  • 180x – -97 = -83 x = -1
        
  • -e + d = -bx x = (e-d)/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 33x + 24 ≤ -9 x ≤ -1
        
  • x ≠ 666
  • -26 ≥ x < 98
  • 18
    9
    x ≤ -
    22
    11
    x ≤ -1
        
11.   Convert the following numbers into scientific notation:
  • 0.000000912 9.12 × 10-7
        
  • 588000 5.88 × 105
        
12.   Add the following polynomials:
  • -1z9 + -6z8 + 7z7 + 8z3 + -8z2  and  -10z9 + 9z8 + 9z5 + -12z1
    -11z9 + 3z8 + 7z7 + 9z5 + 8z3 + -8z2 + -12z1
        
  • -2z17 + -9z16 + -3z9 + 5z1 + -9z1  and  -9z12 + -2z2 + -9z1 -2z17 + -9z16 + -9z12 + -3z9 + -2z2 + -13z1
        
13.   Multiply the following polynomials and simplify:
  • (10x4 + x)5x2
    50x6 + 5x3
        
  • (10x3 + x2)(2x2 + 10x)
    20x5 + 102x4 + 10x3
        
14.   Divide:
  • 25x2 + 45x - 10 / 5x + 10
    5x - 1
        
15.   Find the greatest common factor of the following terms:
  • 84, 48, 100
    4
        
  • 60xy, 11x5y9
    xy
        
16.   Factor the following polynomials:
  • 34x4 - 22x3 + 3x2
    34x2(x -
    11 +
    19
    34
    )(x -
    11 -
    19
    34
    )
        
  • x2 - 4x - 45
    (x + 5)(x - 9)
        
  • x5 + 16x4 + 15x3
    x3(x + 1)(x + 15)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -5
    and
    9


        
  • x =
    0
    ,
    -1

    and
    -15
        
18.   You are seating 8 people on 8 chairs. How many different ways can those people sit?
  • 40320
        
19.   Use the following data to construct a box and whiskers plot:
  • 34, 25, 6, 31, 21, 11, 5, 40, 27
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 9
  • What is the probability of getting heads and 4?
    5.56%
        
  • What is the probability of getting heads and an odd number?
    22.22%
        
  • What is the probability of getting heads and a multiple of 3?
    16.67%
        
  • What is the probability of getting heads and a prime number?
    22.22%
        
  • What is the probability of not tails and not 1?
    44.44%
        
  • 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 = 11
    x - y = 16
    A(13.5,-2.5)
        
  • 5x - 6y = 19
    2x + 3y = -14

    B(-1,-4)
        
22.   Write the following fractions in simplest form:
  • 14x10y
    7x6y9
    2x4
    y8
        
  • x3(x - 9)
    x3 - 4x2 - 45x
    x2
    (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.
  • -x2 = 13x + 36
    x1 = -4,   x2 = -9
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.5940
    5935
    9990
        
25.   Solve the following equation:
  • -
    x - 4
    + 13 = -19
    x = 1028
        
26.   Rationalize the denominator of each fraction below:
  • 21
    15
    - 15
    -
    15
    + 15
    10
        
27.   Use a trigonometric ratio to find x:
x = 12.50 cm
    
28.   The sum of two consecutive odd integers is 52. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=25, b=27
    
29.   After you leave your house, you walk 12 blocks west and 16 blocks north. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   Each side of a square is lengthened by 2 ft. This makes the area of the square 289ft2. What is the original length of a side of the square?
  • 15 ft
        


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:   -6 and 18? -108
    
2.   Add:   -18 and -19? -37
    
3.   Divide:   -11 and 11? -1
    
4.   Substract:   20 and -20? 40
    
5.   Calculate: |5 + 14 · 2 + -16| 17
    
6.   Simplify the following expressions:
  • -11x – 6x – -10x -7x
        
  • -14 + -12 – 18y + -2x -26-2x-18y
        
  • 12z + -13y – -13y – -15x – -2 – -12x 2+27x+12z
        
  • y-20 × y7 × x7 x7 × y-13
        
  • x-2
    x10
    x-12
        
  • (3x)4 81x4
        
7.   Which of the following expressions show the associative property?
  • 9 + 10e + 6
  • 3 × 1 = 3
  • ( 8 × 6 ) + -9 = -9 + ( 8 × 6 )
  • ( m + n ) + p = m + ( n + p )
D
    
8.   Which properties are illustrated by the following three expressions?
  • x × (v + w) = (v + w) × x
  • h + ( i + j ) = ( h + i ) + j
  • 1 × (i + 16) = i + 16
  • Commutative property of multiplication, Associative property of addition and Identity property of multiplication
  • Associative property of multiplication, Associative property of addition and Identity property of multiplication
  • Distributive property, Associative property of multiplication and Associative property of addition
  • Commutative property of addition, Distributive property and Associative property of addition
A
    
9.   Solve the following equations for x:
  • -47 · -x = 94 x = 2
        
  • -
    11
    3
    = -
    11
    3
    x x = 1
        
  • -86 = -62 – 24x x = 1
        
  • -f – a = bx x = (f+a)/(-b)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -24x – 33 ≤ 15 x ≥ -2
        
  • x ≠ 449
  • 73 > x ≥ 23
  • -
    14
    7
    x ≤ -20 x ≥ 10
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000873 8.73 × 10-10
        
  • 606000 6.06 × 105
        
12.   Add the following polynomials:
  • -11z7 + 6z4 + 12z2 + 15  and  15z3 + -5z2 + -6z1
    -11z7 + 6z4 + 15z3 + 7z2 + -6z1 + 15
        
  • -9z18 + 13z15 + 6z14 + -14z7  and  -11z20 + -9z18 + 13z15 + 8z13 + 5z5 -11z20 + -18z18 + 26z15 + 6z14 + 8z13 + -14z7 + 5z5
        
13.   Multiply the following polynomials and simplify:
  • (4x5 + 4x4 + 9x2)(7x4 + 7)
    28x9 + 28x8 + 63x6 + 28x5 + 28x4 + 63x2
        
  • (3x5 + 7x4 + 5x)(10x4 + 2x2 + 2)
    30x9 + 70x8 + 6x7 + 14x6 + 56x5 + 14x4 + 10x3 + 10x
        
14.   Divide:
  • 8x3 - 8x2 - 24x + 24 / 4x - 4
    2x2 - 6
        
15.   Find the greatest common factor of the following terms:
  • 75, 36
    3
        
  • 12x6y4, 48x4y3, 39x4y6
    3x4y3
        
16.   Factor the following polynomials:
  • 9x3 - 51x2 - 84x
    9x(x +
    4
    3
    )(x - 7)
        
  • x2 + 0x - 81
    (x - 9)(x + 9)
        
  • x5 - 15x4 + 50x3
    x3(x - 10)(x - 5)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    9
    and
    -9


        
  • x =
    0
    ,
    10

    and
    5
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one, two, three, or four scoops. Flavors can be chocolate, vanilla, strawberry or peach. How many choices do you have?
  • 32
        
19.   Use the following data to construct a box and whiskers plot:
  • 38, 11, 9, 2, 27, 8, 33, 35, 32
        
20.   A bag contains 3 blue balls, 4 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?
    22.22%
        
  • A blue ball or red ball?
    77.78%
        
  • Two red balls?
    19.75%
        
  • A blue ball and a white ball?
    7.41%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 10
    x - y = 7
    A(8.5,1.5)
        
  • x - 8y = -19
    4x + 15y = 18

    B(-3,2)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x + 4)3
    (x + 4)6
    1
    (x + 4)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 = -7x - 18
    x1 = -2,   x2 = 9
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.164
    163
    990
        
25.   Solve the following equation:
  • 7
    x
    - 13 = 6
    x
    - 5
    x = 64
        
26.   Rationalize the denominator of each fraction below:
  • 10
    15
    + 35
    -
    15
    - 35
    121
        
27.   Use a trigonometric ratio to find x:
x = 32.53 cm
    
28.   The sum of two consecutive even integers is 18. What are the integers? (Hint: use 2x as the first even integer)
a=8, b=10
    
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.   The length of a rectangle is 2 more than twice its width. The area of the rectangle is 60ft2. What is the length and width of the rectangle?
  • width = 5,  length = 12
        


To print this algebra practice test, click here.



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