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:   1 and -7? -7
    
2.   Add:   14 and 5? 19
    
3.   Divide:   -10 and 5? -2
    
4.   Substract:   3 and -17? 20
    
5.   Calculate: |-3 + -5 · -16 + -10| 67
    
6.   Simplify the following expressions:
  • -16 + 19x – -4 -12+19x
        
  • 12 – 18x – 6x + 17 29-24x
        
  • 7x – -4z – 7 + 11x – 1x – 15 -22+17x+4z
        
  • x0 × x19 × x8 × y1 x27 × y1
        
  • x-20
    x-12
    x-8
        
  • (8x2)9 134217728x18
        
7.   Which of the following expressions show the associative property?
  • 9x + -7 = -7 + 9x
  • ( x + y ) + z = x + ( y + z )
  • -10 × 1 = -10
  • a + b = b + a
B
    
8.   Which properties are illustrated by the following three expressions?
  • d × ( e × 1 ) = ( d × e ) × 1
  • l + m + n + 0 = l + m + n
  • ( j + k ) + i = j + ( k + i )
  • Commutative property of multiplication, Identity property of addition and Associative property of addition
  • Associative property of multiplication, Identity property of addition and Associative property of addition
  • Identity property of multiplication, Identity property of addition and Associative property of addition
  • Commutative property of addition, Identity property of addition and Associative property of addition
B
    
9.   Solve the following equations for x:
  • x + -84 = 22 x = 106
        
  • 10
    19
    = -
    1
    19
    x x = -10
        
  • 52 = -7x – -45 x = -1
        
  • -b – f = -gx x = (b+f)/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -50x + 37 > -13 x < 1
        
  • x ≠ -953
  • -1 ≥ x ≤ -18
  • 16
    8
    x ≥ -
    20
    2
    x ≥ -5
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000390 3.9 × 10-10
        
  • 575000000 5.75 × 108
        
12.   Add the following polynomials:
  • 6z7 + 11z5 + -9z1  and  -11z5 + 8z2 + -12z1
    6z7 + 8z2 + -21z1
        
  • -15z20 + -5z17 + 13z10 + 6z5 + -4z2  and  -1z20 + 1z17 + -1z10 + 4z5 + -4z2 -16z20 + -4z17 + 12z10 + 10z5 + -8z2
        
13.   Multiply the following polynomials and simplify:
  • (7x5 + 6x3 + 6x2)5x3
    35x8 + 30x6 + 30x5
        
  • (3x4 + 8x + 3)(10x4 + 6x2 + 9x)
    30x8 + 18x6 + 107x5 + 30x4 + 48x3 + 90x2 + 27x
        
14.   Divide:
  • 6x2 - 19x + 10 / 3x - 2
    2x - 5
        
15.   Find the greatest common factor of the following terms:
  • 90, 84
    6
        
  • 70x3y9, 56x, 45x2y10
    x
        
16.   Factor the following polynomials:
  • 5x4 - 5x3 - 30x2
    5x2(x + 2)(x - 3)
        
  • x2 - 2x - 24
    (x + 4)(x - 6)
        
  • x6 - 26x5 + 165x4
    x4(x - 15)(x - 11)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -4
    and
    6


        
  • 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, strawberry, peach or kiwi. How many choices do you have?
  • 20
        
19.   Use the following data to construct a box and whiskers plot:
  • 39, 14, 13, 1, 8, 26, 15
        
20.   A bag contains 2 blue balls, 7 red balls, and 6 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    40.00%
        
  • A blue ball or red ball?
    60.00%
        
  • Two red balls?
    21.78%
        
  • A blue ball and a white ball?
    5.33%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 12
    x - y = 17
    A(14.5,-2.5)
        
  • x - 5y = -20
    9x + 5y = -9

    B(-2.9,3.42)
        
22.   Write the following fractions in simplest form:
  • 24xy2
    12x7y3
    2
    x6y
        
  • (x + 5)3
    (x + 5)2
    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 = x2 + 7
    x1 = -7,   x2 = -1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.36
    33
    90
        
25.   Solve the following equation:
  • 20
    x
    = 2
    x = 5
        
26.   Rationalize the denominator of each fraction below:
  • 14
    6
    7
    6
    3
        
27.   Use a trigonometric ratio to find x:
x = 32.91 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 12 blocks west and 9 blocks north. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   A rectangle has a width that is 5 ft less than its length. The area of the rectangle is 336ft2. What are the dimensions of the rectangle?
  • width = 16,  length = 21
        


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:   -12 and -19? 228
    
2.   Add:   8 and 4? 12
    
3.   Divide:   -13 and 1? -13
    
4.   Substract:   -5 and 7? -12
    
5.   Calculate: |-14 + 6 · 16 + -14| 68
    
6.   Simplify the following expressions:
  • -8x – 4 + 3 -1-8x
        
  • 6x + 20x – -3 + 20 23+26x
        
  • 14y – 14z + 12 + 2 – -16y 14+30y-14z
        
  • x8 × y11 x8 × y11
        
  • x10
    x14
    x-4
        
  • (9x4)5 59049x20
        
7.   Which of the following expressions show the associative property?
  • 2 + 5s + 3
  • 9( 4 + 4 ) = 9×4 + 9×4
  • ( 3 + 2 ) + 5 = 3 + ( 2 + 5 )
  • y × ( z + 9 ) = yz + 9z
C
    
8.   Which properties are illustrated by the following three expressions?
  • 2 × 8 + y = y + 2 × 8
  • (p + q + r) × 1 = p + q + r
  • v + w + 0 = v + w
  • Associative property of addition, Distributive property and Identity property of multiplication
  • Commutative property of multiplication, Distributive property and Identity property of addition
  • Commutative property of addition, Identity property of multiplication and Identity property of addition
  • Identity property of multiplication, Associative property of addition and Commutative property of addition
C
    
9.   Solve the following equations for x:
  • -x + 11 = -84 x = 95
        
  • 27
    10
    x = -
    27
    10
    x = -1
        
  • 24 + -114x = -90 x = 1
        
  • b = gx x = b/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – 40 > 37 x < -77
        
  • x ≠ 328
  • 93 < x < 81
  • 30
    15
    x < -4 x < -2
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000000440 4.4 × 10-11
        
  • 278000000000 2.78 × 1011
        
12.   Add the following polynomials:
  • -13z9 + -5z6 + 3z4 + 14  and  14z9 + -3z6 + -14z4 + 9
    1z9 + -8z6 + -11z4 + 23
        
  • -12z18 + -5z15 + -7z13 + -8z12 + -9z5  and  15z13 + -13z7 + 11z5 -12z18 + -5z15 + 8z13 + -8z12 + -13z7 + 2z5
        
13.   Multiply the following polynomials and simplify:
  • (10x3 + 8x2 + 3x)(2x5 + 6x)
    20x8 + 16x7 + 6x6 + 60x4 + 48x3 + 18x2
        
  • (7x5 + 4x4)(2x4 + x3)
    14x9 + 15x8 + 4x7
        
14.   Divide:
  • 3x2 - 17x - 81 / 3x + 10
    (x - 9) with a remainder of 9
        
15.   Find the greatest common factor of the following terms:
  • 20, 54
    2
        
  • 22x6y, 91y10, 18y8
    y
        
16.   Factor the following polynomials:
  • 8x3 - x2 - 9x
    8x(x -
    9
    8
    )(x + 1)
        
  • x2 - 3x - 70
    (x + 7)(x - 10)
        
  • x8 + 5x7 - 14x6
    x6(x + 7)(x - 2)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -7
    and
    10


        
  • x =
    0
    ,
    -7

    and
    2
        
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:
  • 18, 12, 25, 31, 3, 40, 34, 7
        
20.   A bag contains 2 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?
    50.00%
        
  • A blue ball or red ball?
    50.00%
        
  • Two red balls?
    6.25%
        
  • A blue ball and a white ball?
    12.50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -3
    x - y = -13
    A(-8,5)
        
  • 7x - y = 9
    6x + 6y = -6

    B(1,-2)
        
22.   Write the following fractions in simplest form:
  • 18xy
    36x2y5
    1
    2xy4
        
  • (x - 6)4
    (x - 6)6
    1
    (x - 6)2
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 4x = 21
    x1 = 7,   x2 = -3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.7
    7
    9
        
25.   Solve the following equation:
  • -
    4x + 4
    - 1 = -19
    x = 80
        
26.   Rationalize the denominator of each fraction below:
  • 10
    5
    - 15
    -
    5
    + 15
    22
        
27.   Use a trigonometric ratio to find x:
x = 9.81 cm
    
28.   The sum of two consecutive even integers is 38. What are the integers? (Hint: use 2x as the first even integer)
a=18, b=20
    
29.   After you leave your house, you walk 12 blocks south and 16 blocks east. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   Each side of a square is decreased by 8 m. The area of the newly created square is 64m2. What was the original length of one side of the square?
  • 16 m
        


To print this algebra practice test, click here.



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