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Algebra test generator



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Important instructions

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1.   Multiply:   -19 and -10? 190
    
2.   Add:   1 and 16? 17
    
3.   Divide:   -15 and 15? -1
    
4.   Substract:   4 and -16? 20
    
5.   Calculate: |19 + -1 · -8 + -17| 10
    
6.   Simplify the following expressions:
  • -15x + 16 – -1 17-15x
        
  • 20x – -4 – 9y + 18 22+20x-9y
        
  • -14 – -20y – -11x – 6 + 10x – 17y -20+21x+3y
        
  • y-20 × y3 × x14 x14 × y-17
        
  • x-12
    x-7
    x-5
        
  • (4x3)10 1048576x30
        
7.   Which of the following expressions show the associative property?
  • 5x + -2 = -2 + 5x
  • a + b = b + a
  • -8 × -4 = -4 × -8
  • ( m × n ) × p = m × ( n × p )
D
    
8.   Which properties are illustrated by the following three expressions?
  • m + ( n + o ) = ( m + n ) + o
  • 6 × 15 = 6 × 15
  • y + 5 × -6 = 5 × -6 + y
  • Associative property of multiplication, Commutative property of multiplication and Associative property of addition
  • Associative property of addition, Commutative property of multiplication and Commutative property of addition
  • Commutative property of addition, Identity property of multiplication and Commutative property of multiplication
  • Associative property of multiplication, Identity property of addition and Associative property of addition
B
    
9.   Solve the following equations for x:
  • -93 = -x + -27 x = 66
        
  • 1
    9
    x =
    16
    9
    x = 16
        
  • -80 = -3x – -91 x = 57
        
  • ax – b = -fx x = b/(a+f)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 3x – 15 ≤ -18 x ≤ -1
        
  • x ≠ -915
  • -9 > x ≤ -99
  • -
    8
    4
    x >
    28
    2
    x < -7
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000507 5.07 × 10-8
        
  • 359000 3.59 × 105
        
12.   Add the following polynomials:
  • 15z7 + 6z4  and  7z9 + 6z6 + -15z4 + 5z3 + 11z2
    7z9 + 15z7 + 6z6 + -9z4 + 5z3 + 11z2
        
  • 11z20 + -3z16 + 4z9 + -12z8  and  9z16 + 1z9 + -4z8 11z20 + 6z16 + 5z9 + -16z8
        
13.   Multiply the following polynomials and simplify:
  • (1x4 + 3x3 + 3x)(2x3 - 2)
    2x7 + 6x6 + 4x4 - 6x3 - 6x
        
  • (2x3 + 10x2)(10x4 + 6x2)
    20x7 + 100x6 + 12x5 + 60x4
        
14.   Divide:
  • 2x3 - 6x2 - 3x + 9 / x - 3
    2x2 - 3
        
15.   Find the greatest common factor of the following terms:
  • 55, 90, 18
    1
        
  • 36x8y2, 90x2y3, 27x4y6
    9x2y2
        
16.   Factor the following polynomials:
  • 4x5 - 32x4 + 45x3
    4x3(x -
    8 +
    19
    2
    )(x -
    8 -
    19
    2
    )
        
  • x2 - 5x - 14
    (x + 2)(x - 7)
        
  • x7 + 4x6 - 21x5
    x5(x - 3)(x + 7)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -2
    and
    7


        
  • x =
    0
    ,
    3

    and
    -7
        
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 or vanilla. How many choices do you have?
  • 16
        
19.   Use the following data to construct a box and whiskers plot:
  • 21, 31, 34, 38, 35, 13, 16, 29, 10, 40
        
20.   A bag contains 2 blue balls, 2 red balls, and 5 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    55.56%
        
  • A blue ball or red ball?
    44.44%
        
  • Two red balls?
    4.94%
        
  • A blue ball and a white ball?
    12.35%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 9
    x - y = -6
    A(1.5,7.5)
        
  • 2x - y = -1
    7x + 2y = -10

    B(-1.09,-1.18)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x + 10)2
    (x + 10)4
    1
    (x + 10)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 - 12
    x1 = -2,   x2 = 6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.4
    4
    9
        
25.   Solve the following equation:
  • -
    2x - 1
    + 2 = -3
    x = 13
        
26.   Rationalize the denominator of each fraction below:
  • 6
    6
    + 35
    -
    6
    6
    - 210
    1219
        
27.   Use a trigonometric ratio to find x:
x = 54.00 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 6 blocks west and 8 blocks north. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   A rectangle has a width that is 4 m less than its length. The area of the rectangle is 45m2. What are the dimensions of the rectangle?
  • width = 5,  length = 9
        


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