Algebra test generator



Name _____________________                                        Date:_____________________


Current difficulty level: Choose test difficulty:         Easy              Challenging
(current difficulty level: Challenging)

                           

Solve the following problems:

Important instructions

(or click here to generate a new test)
1.   Multiply:   -59 and 16? -944
    
2.   Add:   -89 and 37? -52
    
3.   Divide:   -50 and 5? -10
    
4.   Substract:   -62 and -42? -20
    
5.   Calculate: |100 + -74 · 4| 196
    
6.   Simplify the following expressions:
  • 35x + 15 + 99 114+35x
        
  • 93y – 1x + 79y + 74y -1x+246y
        
  • -96x + -83x – -80z + -88 + 67 -21-179x+80z
        
  • y90 × x-67 x-67 × y90
        
  • x-13
    x-23
    x10
        
  • (3x3)3 27x9
        
7.   Which of the following expressions show the associative property?
  • 0 + -3x = -3x
  • 6 × -3 = -3 × 6
  • a + b = b + a
  • ( 7 × 4 ) × 9 = 7 × ( 4 × 9 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • y + 7 × -7 = 7 × -7 + y
  • h + 14 + 0 = h + 14
  • (-7 + x) × 2 = 2 × (-7 + x)
  • Commutative property of addition, Identity property of addition and Commutative property of multiplication
  • Associative property of multiplication, Identity property of addition and Commutative property of multiplication
  • Commutative property of addition, Commutative property of multiplication and Identity property of multiplication
  • Identity property of addition, Associative property of multiplication and Commutative property of addition
A
    
9.   Solve the following equations for x:
  • -19 · x = 57 x = -3
        
  • 2
    15
    x =
    22
    15
    x = 11
        
  • 98 = 62 – 3x x = -12
        
  • -fx = g x = -g/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x – 30 ≥ -2 x ≥ 28
        
  • x ≠ -147
  • 96 < x < 45
  • 18
    9
    x ≤
    16
    2
    x ≤ 4
        
11.   Convert the following numbers into scientific notation:
  • 0.000369 3.69 × 10-4
        
  • 887000000 8.87 × 108
        
12.   Add the following polynomials:
  • 17z4 + -20z3  and  -19z9 + -18z4 + -11z3 + 16
    -19z9 + -1z4 + -31z3 + 16
        
  • 13z18 + 14z6 + 2z1  and  42z18 + -4z11 + 46z6 55z18 + -4z11 + 60z6 + 2z1
        
13.   Multiply the following polynomials and simplify:
  • (10x3 + 8x + 1)(7x4 + 10)
    70x7 + 56x5 + 7x4 + 100x3 + 80x + 10
        
  • (5x5 - 6)(7x5 + 9x2)
    35x10 + 45x7 - 42x5 - 54x2
        
14.   Divide:
  • 16x2 - 4x - 30 / 4x + 5
    4x - 6
        
15.   Find the greatest common factor of the following terms:
  • 330, 455, 150
    5
        
  • 48xy, 375x4y5, 480x10y3
    3xy
        
16.   Factor the following polynomials:
  • 64x4 + 92x3 - 35x2
    64x2(x +
    7
    4
    )(x -
    5
    16
    )
        
  • x2 + 9x - 10
    (x + 10)(x - 1)
        
  • x4 + 8x3 - 48x2
    x2(x - 4)(x + 12)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -10
    and
    1


        
  • x =
    0
    ,
    4

    and
    -12
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one or two scoops. Flavors can be chocolate, vanilla, strawberry or peach. How many choices do you have?
  • 16
        
19.   Use the following data to construct a box and whiskers plot:
  • 1, 29, 3, 15, 32, 5, 34, 25, 27
        
20.   A bag contains 6 blue balls, 4 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?
    28.57%
        
  • A blue ball or red ball?
    71.43%
        
  • Two red balls?
    8.16%
        
  • A blue ball and a white ball?
    12.24%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 7
    x - y = -5
    A(1,6)
        
  • x - 2y = 14
    8x + y = -7

    B(0,-7)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x + 3)
    (x + 3)7
    1
    (x + 3)6
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -18 = x2 - 9x
    x1 = 3,   x2 = 6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.6
    6
    9
        
25.   Solve the following equation:
  • 5
    x
    - 12 = -5
    x
    - 2
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 14
    6 -
    3
    84 + 14
    3
    33
        
27.   Use a trigonometric ratio to find x:
x = 30.00 cm
    
28.   The sum of two consecutive even integers is 46. What are the integers? (Hint: use 2x as the first even integer)
a=22, b=24
    
29.   After you leave your house, you walk 6 blocks west and 8 blocks south. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   The length of a rectangle is 6 more than twice its width. The area of the rectangle is 260m2. What is the length and width of the rectangle?
  • width = 10,  length = 26
        


To print this algebra practice test, click here.



Name _____________________                                        Date:_____________________


Current difficulty level: Choose test difficulty:         Easy              Challenging
(current difficulty level: Challenging)

                           

Solve the following problems:

Important instructions

(or click here to generate a new test)
1.   Multiply:   -29 and 30? -870
    
2.   Add:   -93 and 68? -25
    
3.   Divide:   31 and -31? -1
    
4.   Substract:   -13 and -46? 33
    
5.   Calculate: |-62 · -8 + -78| 418
    
6.   Simplify the following expressions:
  • -69 – -100x + 14 -55+100x
        
  • 62 – 25y – -75 – -91y 137+66y
        
  • -31 + -96y + 11z – 87x – 75 -106-87x-96y+11z
        
  • x-94 × y-67 × x-97 × x-53 x-244 × y-67
        
  • x-77
    x74
    x-151
        
  • (5x4)10 9765625x40
        
7.   Which of the following expressions show the associative property?
  • 2x + 9 = 9 + 2x
  • 9 + 6h + 3
  • ( 3 × 8 ) × 4 = 3 × ( 8 × 4 )
  • ( -7 + 7 ) × 2 = 2 × ( -7 + 7 )
C
    
8.   Which properties are illustrated by the following three expressions?
  • y + -5 × 2 = -5 × 2 + y
  • 1 × (k + 10) = k + 10
  • 15 × ( -17 + 20) = 15 × -17 + 15 × 20
  • Associative property of multiplication, Associative property of addition and Identity property of addition
  • Commutative property of addition, Identity property of multiplication and Distributive property
  • Identity property of multiplication, Commutative property of addition and Identity property of addition
  • Identity property of multiplication, Associative property of addition and Associative property of multiplication
B
    
9.   Solve the following equations for x:
  • -40 + x = -67 x = -27
        
  • -
    7
    12
    x =
    28
    24
    x = -2
        
  • 31x – -34 = 65 x = 1
        
  • e = -gx x = -e/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 2x + 37 ≤ -25 x ≤ -31
        
  • x ≠ -516
  • -64 < x ≥ -91
  • 36
    12
    x >
    36
    4
    x > 3
        
11.   Convert the following numbers into scientific notation:
  • 0.0000739 7.39 × 10-5
        
  • 510000 5.1 × 105
        
12.   Add the following polynomials:
  • 15z7 + -10z5 + 18z4  and  -17z8 + 1z5
    -17z8 + 15z7 + -9z5 + 18z4
        
  • -15z19 + -29z17 + -40z16 + 36z4 + -49z3  and  30z17 + -32z16 + 21z11 -15z19 + 1z17 + -72z16 + 21z11 + 36z4 + -49z3
        
13.   Multiply the following polynomials and simplify:
  • (10x2 + 7x + 9)(4x + 4)
    40x3 + 68x2 + 64x + 36
        
  • (9x3 + 5x2 + 6x)(1x4 + 5x)
    9x7 + 5x6 + 6x5 + 45x4 + 25x3 + 30x2
        
14.   Divide:
  • 15x2 - 11x + 2 / 5x - 2
    3x - 1
        
15.   Find the greatest common factor of the following terms:
  • 210, 390, 250
    10
        
  • 180x10y7, 210x4y3, 330y
    30y
        
16.   Factor the following polynomials:
  • 68x3 + 8x2 - 60x
    68x(x + 1)(x -
    15
    17
    )
        
  • x2 + 10x + 16
    (x + 2)(x + 8)
        
  • x7 + 4x6 - 165x5
    x5(x + 15)(x - 11)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -2
    and
    -8


        
  • x =
    0
    ,
    -15

    and
    11
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one or two scoops. Flavors can be chocolate, vanilla or strawberry. How many choices do you have?
  • 12
        
19.   Use the following data to construct a box and whiskers plot:
  • 2, 1, 32, 36, 23, 7, 15, 4, 21
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 8
  • What is the probability of getting tails and 7?
    6.25%
        
  • What is the probability of getting heads and an odd number?
    25%
        
  • What is the probability of getting heads and a multiple of 2?
    25%
        
  • What is the probability of getting tails and a prime number?
    25%
        
  • What is the probability of not tails and not 7?
    43.75%
        
  • 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 = -4
    A(7,11)
        
  • 3x - 9y = 6
    2x + 6y = 6

    B(2.5,0.17)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 - 16x + 64)
    (x - 8)
    x - 8
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -x2 = -x - 6
    x1 = -2,   x2 = 3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.2794
    2767
    9900
        
25.   Solve the following equation:
  • -7
    x
    + 9 = -2
    x
    - 16
    x = 25
        
26.   Rationalize the denominator of each fraction below:
  • 14
    10
    1 +
    14
    -
    14
    10
    - 28
    35
    13
        
27.   Use a trigonometric ratio to find x:
x = 22.63 cm
    
28.   The sum of two consecutive odd integers is 24. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=11, b=13
    
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 sides of a square are increased by 4 ft. The area of the newly created square is 225ft2. What was the original length of one side of the square?
  • 11 ft
        


To print this algebra practice test, click here.



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