Section R.1 Question: Which of the following are rational numbers Select all that apply.
 
Quiz 1.1   4 / 2
-7
√(28)
√(25)
(7π) / (3π)
 
  Variations:    
    (9π)(10π)
8π – 4π + 3π
7π – 10π + 3π
 

Section R.1
Quiz 1.2
Question: Evaluate:
5
4
  –  7
12

 
    –1/6
11/6
2/3
1/1
1/6
 

Section R.1 Question: If you evaluate  6/5X  in a graphing calculator, with the value 3 stored in the variable X, what answer will you get?
 
Quiz 1.3   1.2
3.6
.2777777778
3
0.4
 
  Variation: If you evaluate  X^4/2  in a graphing calculator, with the value 3 stored in the variable X, what answer will you get?
 
    3
40.5
.1111111111
6
9
 

Section R.2 Question: |5|  >  |–6|
 
Quiz 1.4   True
False
 
  Variation: |–7|  <  |3|
 
    True
False
 

Section R.2
Quiz 1.5
Question: Determine the domain of the variable x in the following expression:
4x
x(x + 25)

 
    {x | x ≠ -25}
{x | x ≠ 0 and x ≠ -25}
{0}
{-25}
{0, -25}
{x | x ≠ 0}
 

Section R.3
Quiz 1.6
Question: What is the area (in square centimeters) of a circle with a diameter of 3 centimeters? Express your answer as a decimal approximation rounded to three decimal places. Do not include the unit of measurement in your answer.
 
     
  Variation: What is the circumference (in centimeters) of a circle with a radius of 2.1 centimeters? Express your answer as a decimal approximation rounded to three decimal places. Do not include the unit of measurement in your answer.
 
     

Section R.3 Question: The three sides of a triangle measure 18 inches, 39 inches and 45 inches. Is the triangle a right triangle?
 
Quiz 1.7   Yes
No
 
  Variation: The three sides of a triangle measure 2.1 inches, 7.2 inches and 7.5 inches. Is the triangle a right triangle?
 
    Yes
No
 

Section R.4
Quiz 1.8
Question: Simplify (x3)2. Write your answer without parentheses using only positive exponents. Write an answer like 3x2 as 3x^2. Write an answer like 2 / x3 as 2/x^3.
 
     

Section R.4
Quiz 1.9
Question: Simplify (–x–3 / 2)–2. Write your answer without parentheses using only positive exponents. Write an answer like 3x2 as 3x^2. Write an answer like 2 / x3 as 2/x^3.
 
     
  Variations: Simplify (–x2 / 2)–3. Write your answer without parentheses using only positive exponents. Write an answer like 3x2 as 3x^2. Write an answer like 2 / x3 as 2/x^3.
 
     
    Simplify (3x–2)3. Write your answer without parentheses using only positive exponents. Write an answer like 3x2 as 3x^2. Write an answer like 2 / x3 as 2/x^3.
 
     
    Simplify (2 / x–3)3. Write your answer without parentheses using only positive exponents. Write an answer like 3x2 as 3x^2. Write an answer like 2 / x3 as 2/x^3.
 
     

Section R.4
Quiz 1.10
Question: Simplify (x3) / (x4). Write your answer using only positive exponents. Write an answer like 3x2 as 3x^2. Write an answer like 2 / x3 as 2/x^3.
 
     
  Variation: Simplify (x0) / (x-4). Write your answer using only positive exponents. Write an answer like 3x2 as 3x^2. Write an answer like 2 / x3 as 2/x^3.
 
     

Section R.5 Question: Multiply (–4x + 4)(2x + 4)
 
Quiz 1.11   –8x2 + 8x + 8
–8x2 – 8x + 8
–8x2 + 8x + 16
–8x2 – 8x + 16
–8x2 + 8x + 4
 

Section R.5 Question: Multiply (2x – 3)(–3x2 + 3x + 4)
 
Quiz 1.12   –6x3 + 15x2x + 1
–6x3 + 9x2x – 12
–6x3 + 9x2 + 8x + 1
–6x3 + 15x2x – 12
–6x3 + 9x2 + 8x – 12
 

Section R.5
Quiz 1.13
Question: When you perform polynomial division, the result is a quotient and a remainder. Enter these quantities separated by the word remainder. For example, if you were asked to divide 8x2 + 8x – 2 by 2x + 3, you would enter 4x-2remainder4.

Perform the following division. Do not include spaces in your answer. If the remainder is zero, write remainder0 after the quotient.
30x2 – 28x + 9
5x – 3

 
     

Section R.6
Quiz 1.14
Question:

In the next three questions, you will be asked to factor polynomials. Express your answer as a product of polynomials with integer coefficients. For example, if you were asked to factor –9x2 + 21x – 12, you should enter either -3(3x-4)(x-1) or -3(x-1)(3x-4).

  • Do not include spaces in your answer
  • Any constant factors should appear first
  • The terms of each factor should be in order of decreasing degree. That is, (3x-4), not (4-3x).
  • If the polynomial is prime, then your answer should be "prime" (with or without quotes).
Factor 81x2 – 64. Do not include spaces in your answer. If the polynomial is prime, then enter "prime"
 
     

Section R.6 Question: Factor 5x2 + 6x + 4. Do not include spaces in your answer. If the polynomial is prime, then enter "prime"
 
Quiz 1.15    

Section R.6 Question: Factor –15x2x + 6. Do not include spaces in your answer. If the polynomial is prime, then enter "prime"
 
Quiz 1.16    

Section R.7
Quiz 2.1
Question: Simplify the following rational expression:
5z + 1
z(z – 2)
  –  2
z

 
     

Section R.7
Quiz 2.2
Question: Simplify the following complex fraction:
5
y
  – 2

1
y
  + 2

 
     

Section R.8
Quiz 2.3
Question: Simplify √(175x4). Assume all variables represent positive real numbers. Write an answer like 2x2√(2x) as 2x^2sqr(2x).
 
     

Section R.8
Quiz 2.4
Question: Rationalize the denominator in the following expression. Write a quantity like √(5) as sqr(5)
4
3 + √(6)

 
     

Section R.9
Quiz 2.5
Question: Simplify
y1/2
y1/6