Question 1

Perform the division.
-

Accepted Answer

A)  x2 - 9x + 3 
B)  x2 - 9 
C)  x2 + 9 
D)  x2 + 3x + 3 
A)  x2 - 9x + 3 
B)  x2 - 9 
C)  x2 + 9 
D)  x2 + 3x + 3

Question 2

Add.
-5a4 - 6a3

Accepted Answer

A)  4a7  
B)  14a4 - 10a3  
C)  14a8 - 10a6  
D)  4a14  
A)  4a7  
B)  14a4 - 10a3  
C)  14a8 - 10a6  
D)  4a14

Question 3

Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 4

Determine whether the expression represents a number that is positive, negative, or zero.
-

Accepted Answer

A)  Positive 
B)  Zero 
C)  Negative 
A)  Positive 
B)  Zero 
C)  Negative

Question 5

Choose the one alternative that best completes the statement or answers the question. 
 
Find the product.
-(x + 4)3

Accepted Answer

A)  x3 + 12x2 + 48x + 64 
B)  x3 + 12x2 + 8x + 64 
C)  x3 + 4x2 + 8x + 64 
D)  x3 + 12x2 + 12x + 64 
A)  x3 + 12x2 + 48x + 64 
B)  x3 + 12x2 + 8x + 64 
C)  x3 + 4x2 + 8x + 64 
D)  x3 + 12x2 + 12x + 64

Question 6

Subtract.
-( 20a4 - 16a2) - ( -8a4 - 13a2)

Accepted Answer

A)  25a6  
B)  12a4 - 29a2  
C)  28a4 - 3a2  
D)  28a4 - 29a2  
A)  25a6  
B)  12a4 - 29a2  
C)  28a4 - 3a2  
D)  28a4 - 29a2

Question 7

Solve the problem. Express the answer in scientific notation to two decimals.
-A company produced 2,270,000 small appliances in one year and made a profit of $ 7,080,000. What was the profit on each appliance?

Accepted Answer

A)  $ 3.12 × 103  
B)  $ 3.12 × 106  
C)  $ 31.20 
D)  $ 3.12 
A)  $ 3.12 × 103  
B)  $ 3.12 × 106  
C)  $ 31.20 
D)  $ 3.12

Question 8

Perform the indicated operation.
-( 7x - 9y)2

Accepted Answer

A)  7x2 + 81y2  
B)  49x2 + 81y2  
C)  7x2 - 126xy + 81y2  
D)  49x2 - 126xy + 81y2  
A)  7x2 + 81y2  
B)  49x2 + 81y2  
C)  7x2 - 126xy + 81y2  
D)  49x2 - 126xy + 81y2

Question 9

The formula for compound interest is   where A is the amount accumulated from a principal of P dollars left untouched for n years with an annual interest rate r (expressed as a decimal). Use this formula and a calculator to find A to the nearest cent. S1S1P0
-P = $100, r = 0.03, n = 6

Accepted Answer

A)  $1,194,052,296,529.00 
B)  $69.41 
C)  $119.41 
D)  $169.41 
A)  $1,194,052,296,529.00 
B)  $69.41 
C)  $119.41 
D)  $169.41

Question 10

Choose the one alternative that best completes the statement or answers the question. 
 
Find the product.
-( 2a + 11c)( 2a - 11c)

Accepted Answer

A)  4a2 - 44ac - 121c2  
B)  4a2 - 121c2  
C)  4a2 + 44ac - 121c2  
D)  2a2 - 11c2  
A)  4a2 - 44ac - 121c2  
B)  4a2 - 121c2  
C)  4a2 + 44ac - 121c2  
D)  2a2 - 11c2

Question 11

Perform the indicated operation.
-Find the difference between ( 2n7 - 14n6 - 19) and ( 3n6 + 4n7 - 16).

Accepted Answer

A)  -2n7 - 17n6 - 35 
B)  -22n13  
C)  -2n7 - 17n6 - 3 
D)  -2n7 - 10n6 - 35 
A)  -2n7 - 17n6 - 35 
B)  -22n13  
C)  -2n7 - 17n6 - 3 
D)  -2n7 - 10n6 - 35

Question 12

Solve the problem.
-The area of a triangle is 12   - 12   - 50x. Find a polynomial that expresses the length of the base if the height is x.

Accepted Answer

A)  6   - 6   - 25x 
B)  12   - 12x - 50 
C)  24   - 24   - 100x 
D)  24   - 24x - 100 
A)  6   - 6   - 25x 
B)  12   - 12x - 50 
C)  24   - 24   - 100x 
D)  24   - 24x - 100

Question 13

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree
--11c6 - 7c5 + 2c4

Accepted Answer

A)  Binomial, degree 5 
B)  Trinomial, degree 15 
C)  Binomial, degree 15 
D)  Trinomial, degree 6 
A)  Binomial, degree 5 
B)  Trinomial, degree 15 
C)  Binomial, degree 15 
D)  Trinomial, degree 6

Question 14

Perform the indicated operation.
-[ -( 10 q2 - 4 q - 10 q3) - ( 6 q2 + 7 q - 4 q3)] + q2

Accepted Answer

A)  14 q3 - 17 q2 - 3 
B)  6 q3 - 3 q2 + 11 
C)  14 q3 - 15 q2 - 3 q 
D)  -6 q3 + 5 q2 - 11 
A)  14 q3 - 17 q2 - 3 
B)  6 q3 - 3 q2 + 11 
C)  14 q3 - 15 q2 - 3 q 
D)  -6 q3 + 5 q2 - 11

Question 15

Write the quotient without using exponents.
-

Accepted Answer

A)  80 
B)  0.0000008 
C)  0.0000004 
D)  40 
A)  80 
B)  0.0000008 
C)  0.0000004 
D)  40

Question 16

Find the value of the polynomial.
-4   - 5   + 42 when x = -2

Accepted Answer

A)  -22 
B)  -20 
C)  20 
D)  -10 
A)  -22 
B)  -20 
C)  20 
D)  -10

Question 17

Choose the one alternative that best completes the statement or answers the question.Find the product.
-7( 3x)

Accepted Answer

A)  21 
B)  10x 
C)  10 
D)  21x 
A)  21 
B)  10x 
C)  10 
D)  21x

Question 18

Solve the problem.
-The area of a parallelogram is 25   + 60   + 40x + 7. Find a polynomial that expresses the height if the base is 5x + 7.

Accepted Answer

A)  5   + 10x + 1 
B)  5   + 5x + 7 
C)  10   + 5x + 1 
D)  5   + 5x + 1 
A)  5   + 10x + 1 
B)  5   + 5x + 7 
C)  10   + 5x + 1 
D)  5   + 5x + 1

Question 19

Choose the one alternative that best completes the statement or answers the question. 
 
Find the product.
-( 7m - 11w)( 7m + 11w)

Accepted Answer

A)  49m2 - 154mw - 121w2  
B)  49m2 - 121w2  
C)  7m2 - 11w2  
D)  49m2 + 154mw - 121w2  
A)  49m2 - 154mw - 121w2  
B)  49m2 - 121w2  
C)  7m2 - 11w2  
D)  49m2 + 154mw - 121w2

Question 20

Choose the one alternative that best completes the statement or answers the question.Find the product.
-( 9p - 1)( 81p2 + 9p + 1)

Accepted Answer

A)  729p3 - 1 
B)  729p3 + 1  
C)  81p3 - 1 
D)  729p3 + 90p2 - 1 
A)  729p3 - 1 
B)  729p3 + 1  
C)  81p3 - 1 
D)  729p3 + 90p2 - 1

Perform the division. -

Add. -5a⁴ - 6a³

Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers -

Determine whether the expression represents a number that is positive, negative, or zero. -

Choose the one alternative that best completes the statement or answers the question. Find the product. -(x + 4)³

Subtract. -( 20a⁴ - 16a²) - ( -8a⁴ - 13a²)

Solve the problem. Express the answer in scientific notation to two decimals. -A company produced 2,270,000 small appliances in one year and made a profit of $ 7,080,000. What was the profit on each appliance?

Perform the indicated operation. -( 7x - 9y)²

The formula for compound interest is where A is the amount accumulated from a principal of P dollars left untouched for n years with an annual interest rate r (expressed as a decimal). Use this formula and a calculator to find A to the nearest cent. -P = $100, r = 0.03, n = 6

Choose the one alternative that best completes the statement or answers the question. Find the product. -( 2a + 11c)( 2a - 11c)

Perform the indicated operation. -Find the difference between ( 2n⁷ - 14n⁶ - 19) and ( 3n⁶ + 4n⁷ - 16)_.

Solve the problem. -The area of a triangle is 12 - 12 - 50x. Find a polynomial that expresses the length of the base if the height is x.

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree --11c⁶ - 7c⁵ + 2c⁴

Perform the indicated operation. -[ -( 10 q² - 4 q - 10 q³) - ( 6 q² + 7 q - 4 q³)] + q²

Write the quotient without using exponents. -

Find the value of the polynomial. -4 - 5 + 42 when x = -2

Choose the one alternative that best completes the statement or answers the question.Find the product. -7( 3x)

Solve the problem. -The area of a parallelogram is 25 + 60 + 40x + 7. Find a polynomial that expresses the height if the base is 5x + 7.

Choose the one alternative that best completes the statement or answers the question. Find the product. -( 7m - 11w)( 7m + 11w)

Choose the one alternative that best completes the statement or answers the question.Find the product. -( 9p - 1)( 81p² + 9p + 1)

The Real Number System

Linear Equations and Inequalities in One Variable

Linear Equations and Inequalities in Two Variables; Functions

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Rational Expressions and Applications

Roots and Radicals

Quadratic Equations

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Exam 6: Factoring and Applications