Question 1

Which one of the following is a factor of $8,000 x ^ { 3 } - 27$ ?

Accepted Answer

A)  $20 x + 3$ 
B)  $400 x ^ { 2 } + 120 x + 9$ 
C)  $400 x ^ { 2 } + 60 x - 9$ 
D)  $400 x ^ { 2 } + 60 x + 9$ 
A)  $20 x + 3$ 
B)  $400 x ^ { 2 } + 120 x + 9$ 
C)  $400 x ^ { 2 } + 60 x - 9$ 
D)  $400 x ^ { 2 } + 60 x + 9$

Question 2

Write the number in scientific notation. $0.0523 \times 10 ^ { 6 }$   $\times 10 ^ { - }$

Accepted Answer

The answer of Write the number in scientific notation. \(0.0523...

Question 3

The product of two consecutive positive even integers is 168. Find the smaller positive even integer.

Accepted Answer

A)  14 
B)  6 
C)  12 
D)  10 
A)  14 
B)  6 
C)  12 
D)  10

Question 4

Use a special product formula to find the product. $( a - 4 b ) ^ { 2 }$

Accepted Answer

A)  $a ^ { 2 } - 8 a b + 16 b ^ { 2 }$ 
B)  $a ^ { 2 } - 4 a b + 8 b ^ { 2 }$ 
C)  $a ^ { 2 } + 8 a b + 8 b ^ { 2 }$ 
D)  $a ^ { 2 } + 8 a b - 16 b ^ { 2 }$ 
E)  $a ^ { 2 } - 16 a b + 14 b ^ { 2 }$ 
A)  $a ^ { 2 } - 8 a b + 16 b ^ { 2 }$ 
B)  $a ^ { 2 } - 4 a b + 8 b ^ { 2 }$ 
C)  $a ^ { 2 } + 8 a b + 8 b ^ { 2 }$ 
D)  $a ^ { 2 } + 8 a b - 16 b ^ { 2 }$ 
E)  $a ^ { 2 } - 16 a b + 14 b ^ { 2 }$

Question 5

Write the number in scientific notation. 3500

Accepted Answer

A)  $0.35 \times 10 ^ { 4 }$ 
B)  $35 \times 10 ^ { 2 }$ 
C)  $3.5 \times 10 ^ { 3 }$ 
D)  $3.5 \times 10 ^ { 2 }$ 
E)  $3.5 \times 10 ^ { - 4 }$ 
A)  $0.35 \times 10 ^ { 4 }$ 
B)  $35 \times 10 ^ { 2 }$ 
C)  $3.5 \times 10 ^ { 3 }$ 
D)  $3.5 \times 10 ^ { 2 }$ 
E)  $3.5 \times 10 ^ { - 4 }$

Question 6

Write the number in scientific notation. $0.0528 \times 10 ^ { 5 }$

Accepted Answer

A)  $5.28 \times 10 ^ { 7 }$ 
B)  $5.28 \times 10 ^ { - 2 }$ 
C)  $5.28 \times 10 ^ { 2 }$ 
D)  $52.8 \times 10 ^ { 4 }$ 
E)  $5.28 \times 10 ^ { 3 }$ 
A)  $5.28 \times 10 ^ { 7 }$ 
B)  $5.28 \times 10 ^ { - 2 }$ 
C)  $5.28 \times 10 ^ { 2 }$ 
D)  $52.8 \times 10 ^ { 4 }$ 
E)  $5.28 \times 10 ^ { 3 }$

Question 7

Multiply. Give the answer in scientific notation. $\left( 8.5 \times 10 ^ { 5 } \right) \left( 1.6 \times 10 ^ { 6 } \right)$  $\times 10 ^ { - }$

Accepted Answer

The answer of Multiply. Give the answer in scientific notation....

Question 8

Solve: $\left( 3.8 \times 10 ^ { - 13 } \right) x - \left( 2.6 \times 10 ^ { 8 } \right) = \left( 5.0 \times 10 ^ { 8 } \right)$

Accepted Answer

The answer of Solve: \(\left( 3.8 \times 10 ^ {...

Question 9

Determine what type of exponent must be used when writing real numbers greater than or equal to 10 using scientific notation.  $\times 10 ^ { - }$

Accepted Answer

The answer of Determine what type of exponent must be...

Question 10

Factor: $x ^ { 4 } + 13 x ^ { 2 } + 49$ (Hint: Add and subtract $x ^ { 2 }$ )

Accepted Answer

The answer of Factor: \(x ^ { 4 } +...

Question 11

Simplify: $\frac { \left( 2 x ^ { - 3 } y \right) ^ { - 2 } } { x ^ { 4 } y ^ { - 6 } }$

Accepted Answer

A)  $- 4 x ^ { 2 } y ^ { 4 }$ 
B)  $\frac { x ^ { 2 } y ^ { 4 } } { 4 }$ 
C)  $\frac { x ^ { 2 } } { 4 y ^ { 8 } }$ 
D)  none of these 
A)  $- 4 x ^ { 2 } y ^ { 4 }$ 
B)  $\frac { x ^ { 2 } y ^ { 4 } } { 4 }$ 
C)  $\frac { x ^ { 2 } } { 4 y ^ { 8 } }$ 
D)  none of these

Question 12

When you multiply a number by $10 ^ { 4 }$ , which way do you move the decimal and how far?

Accepted Answer

You move t

Question 13

Multiply. Write all answers without negative exponents. $a ^ { - 2 } b ^ { - 3 } c \left( a ^ { 7 } b ^ { - 7 } c ^ { 3 } - a b ^ { - 2 } c ^ { - 5 } \right)$

Accepted Answer

The answer of Multiply. Write all answers without negative exponents....

Question 14

Expressions such as $5 x ^ { 2 } \text { and } 6 ^ { 3 }$ are called __________ expressions.

Accepted Answer

The answer of Expressions such as \(5 x ^ {...

Question 15

Factor completely: $2 x ^ { 3 } - 18 x - 7 x ^ { 2 } + 63$

Accepted Answer

A)  $2 x \left( x ^ { 2 } - 9 \right) - 7 \left( x ^ { 2 } - 9 \right)$ 
B)  $( 2 x - 7 ) ( x - 3 ) ( x + 3 )$ 
C)  $( 2 x - 7 ) \left( x ^ { 2 } - 9 \right) ^ { 2 }$ 
D)  $( 2 x - 7 ) \left( x ^ { 2 } - 9 \right)$ 
A)  $2 x \left( x ^ { 2 } - 9 \right) - 7 \left( x ^ { 2 } - 9 \right)$ 
B)  $( 2 x - 7 ) ( x - 3 ) ( x + 3 )$ 
C)  $( 2 x - 7 ) \left( x ^ { 2 } - 9 \right) ^ { 2 }$ 
D)  $( 2 x - 7 ) \left( x ^ { 2 } - 9 \right)$

Question 16

Find the domain and range of f .

Accepted Answer

A)  $D = ( - \infty , \infty ) ; R = ( - 3 , \infty )$ 
B)  $D = ( - 3 , \infty ) ; R = ( - \infty , \infty )$ 
C)  $D = ( - 4 , \infty ) ; R = ( - 3 , \infty )$ 
D)  $D = ( - \infty , \infty ) ; R = ( - \infty , \infty )$ 
E)  $D = ( - \infty , \infty ) ; R = ( - 3,4 )$ 
A)  $D = ( - \infty , \infty ) ; R = ( - 3 , \infty )$ 
B)  $D = ( - 3 , \infty ) ; R = ( - \infty , \infty )$ 
C)  $D = ( - 4 , \infty ) ; R = ( - 3 , \infty )$ 
D)  $D = ( - \infty , \infty ) ; R = ( - \infty , \infty )$ 
E)  $D = ( - \infty , \infty ) ; R = ( - 3,4 )$

Question 17

Use the graph to solve $x ^ { 2 } - 2 x - 3 = 0$ .

Accepted Answer

A)  $x = 0,3$ 
B)  $x = - 1,3$ 
C)  $x = - 4 , - 1$ 
D)  $x = - 3 , - 1$ 
E)  $x = - 2,2$ 
A)  $x = 0,3$ 
B)  $x = - 1,3$ 
C)  $x = - 4 , - 1$ 
D)  $x = - 3 , - 1$ 
E)  $x = - 2,2$

Question 18

Classify: $4 x ^ { - 7 } + 4 x$

Accepted Answer

A)  monomial 
B)  binomial 
C)  trinomial 
D)  not a polynomial 
A)  monomial 
B)  binomial 
C)  trinomial 
D)  not a polynomial

Question 19

Classify the polynomial as a monomial, binomial, trinomial, or none of these. $6 x ^ { 3 } y - 5 x + 2 y$

Accepted Answer

The answer of Classify the polynomial as a monomial, binomial,...

Which one of the following is a factor of $8,000 x ^ { 3 } - 27$ ?

Write the number in scientific notation. $0.0523 \times 10 ^ { 6 }$ $Write the number in scientific notation. 0.0523 \times 10 ^ { 6 } \times 10 ^ { - }$ $\times 10 ^ { - }$

The product of two consecutive positive even integers is 168. Find the smaller positive even integer.

Use a special product formula to find the product. $( a - 4 b ) ^ { 2 }$

Write the number in scientific notation. 3500

Write the number in scientific notation. $0.0528 \times 10 ^ { 5 }$

Multiply. Give the answer in scientific notation. $\left( 8.5 \times 10 ^ { 5 } \right) \left( 1.6 \times 10 ^ { 6 } \right)$ $Multiply. Give the answer in scientific notation. \left( 8.5 \times 10 ^ { 5 } \right) \left( 1.6 \times 10 ^ { 6 } \right) \times 10 ^ { - }$ $\times 10 ^ { - }$

Solve: $\left( 3.8 \times 10 ^ { - 13 } \right) x - \left( 2.6 \times 10 ^ { 8 } \right) = \left( 5.0 \times 10 ^ { 8 } \right)$

Determine what type of exponent must be used when writing real numbers greater than or equal to 10 using scientific notation. $Determine what type of exponent must be used when writing real numbers greater than or equal to 10 using scientific notation. \times 10 ^ { - }$ $\times 10 ^ { - }$

Factor: $x ^ { 4 } + 13 x ^ { 2 } + 49$ (Hint: Add and subtract $x ^ { 2 }$ )

Simplify: $\frac { \left( 2 x ^ { - 3 } y \right) ^ { - 2 } } { x ^ { 4 } y ^ { - 6 } }$

When you multiply a number by $10 ^ { 4 }$ , which way do you move the decimal and how far?

Multiply. Write all answers without negative exponents. $a ^ { - 2 } b ^ { - 3 } c \left( a ^ { 7 } b ^ { - 7 } c ^ { 3 } - a b ^ { - 2 } c ^ { - 5 } \right)$

Expressions such as $5 x ^ { 2 } \text { and } 6 ^ { 3 }$ are called __________ expressions.

Factor completely: $2 x ^ { 3 } - 18 x - 7 x ^ { 2 } + 63$

Find the domain and range of f .

Use the graph to solve $x ^ { 2 } - 2 x - 3 = 0$ . $Use the graph to solve x ^ { 2 } - 2 x - 3 = 0 .$

Classify: $4 x ^ { - 7 } + 4 x$

Classify the polynomial as a monomial, binomial, trinomial, or none of these. $6 x ^ { 3 } y - 5 x + 2 y$

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Exam 5: Exponents, Polynomials, and Polynomial Functions

Which one of the following is a factor of 8,000x3−278,000 x ^ { 3 } - 278,000x3−27 ?

Write the number in scientific notation. 0.0523×1060.0523 \times 10 ^ { 6 }0.0523×106 ×10−\times 10 ^ { - }×10−

The product of two consecutive positive even integers is 168. Find the smaller positive even integer.

Use a special product formula to find the product. (a−4b)2( a - 4 b ) ^ { 2 }(a−4b)2

Write the number in scientific notation. 3500

Write the number in scientific notation. 0.0528×1050.0528 \times 10 ^ { 5 }0.0528×105

Multiply. Give the answer in scientific notation. (8.5×105)(1.6×106)\left( 8.5 \times 10 ^ { 5 } \right) \left( 1.6 \times 10 ^ { 6 } \right)(8.5×105)(1.6×106) ×10−\times 10 ^ { - }×10−

Solve: (3.8×10−13)x−(2.6×108)=(5.0×108)\left( 3.8 \times 10 ^ { - 13 } \right) x - \left( 2.6 \times 10 ^ { 8 } \right) = \left( 5.0 \times 10 ^ { 8 } \right)(3.8×10−13)x−(2.6×108)=(5.0×108)

Determine what type of exponent must be used when writing real numbers greater than or equal to 10 using scientific notation. ×10−\times 10 ^ { - }×10−

Factor: x4+13x2+49x ^ { 4 } + 13 x ^ { 2 } + 49x4+13x2+49 (Hint: Add and subtract x2x ^ { 2 }x2 )

Simplify: (2x−3y)−2x4y−6\frac { \left( 2 x ^ { - 3 } y \right) ^ { - 2 } } { x ^ { 4 } y ^ { - 6 } }x4y−6(2x−3y)−2​

When you multiply a number by 10410 ^ { 4 }104 , which way do you move the decimal and how far?

Multiply. Write all answers without negative exponents. a−2b−3c(a7b−7c3−ab−2c−5)a ^ { - 2 } b ^ { - 3 } c \left( a ^ { 7 } b ^ { - 7 } c ^ { 3 } - a b ^ { - 2 } c ^ { - 5 } \right)a−2b−3c(a7b−7c3−ab−2c−5)

Expressions such as 5x2 and 635 x ^ { 2 } \text { and } 6 ^ { 3 }5x2 and 63 are called __________ expressions.

Factor completely: 2x3−18x−7x2+632 x ^ { 3 } - 18 x - 7 x ^ { 2 } + 632x3−18x−7x2+63

Find the domain and range of f .

Use the graph to solve x2−2x−3=0x ^ { 2 } - 2 x - 3 = 0x2−2x−3=0 .

Classify: 4x−7+4x4 x ^ { - 7 } + 4 x4x−7+4x

Classify the polynomial as a monomial, binomial, trinomial, or none of these. 6x3y−5x+2y6 x ^ { 3 } y - 5 x + 2 y6x3y−5x+2y

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Which one of the following is a factor of $8,000 x ^ { 3 } - 27$ ?

Write the number in scientific notation. $0.0523 \times 10 ^ { 6 }$ $Write the number in scientific notation. 0.0523 \times 10 ^ { 6 } \times 10 ^ { - }$ $\times 10 ^ { - }$

Use a special product formula to find the product. $( a - 4 b ) ^ { 2 }$

Write the number in scientific notation. $0.0528 \times 10 ^ { 5 }$

Multiply. Give the answer in scientific notation. $\left( 8.5 \times 10 ^ { 5 } \right) \left( 1.6 \times 10 ^ { 6 } \right)$ $Multiply. Give the answer in scientific notation. \left( 8.5 \times 10 ^ { 5 } \right) \left( 1.6 \times 10 ^ { 6 } \right) \times 10 ^ { - }$ $\times 10 ^ { - }$

Solve: $\left( 3.8 \times 10 ^ { - 13 } \right) x - \left( 2.6 \times 10 ^ { 8 } \right) = \left( 5.0 \times 10 ^ { 8 } \right)$

Determine what type of exponent must be used when writing real numbers greater than or equal to 10 using scientific notation. $Determine what type of exponent must be used when writing real numbers greater than or equal to 10 using scientific notation. \times 10 ^ { - }$ $\times 10 ^ { - }$

Factor: $x ^ { 4 } + 13 x ^ { 2 } + 49$ (Hint: Add and subtract $x ^ { 2 }$ )

Simplify: $\frac { \left( 2 x ^ { - 3 } y \right) ^ { - 2 } } { x ^ { 4 } y ^ { - 6 } }$

When you multiply a number by $10 ^ { 4 }$ , which way do you move the decimal and how far?

Multiply. Write all answers without negative exponents. $a ^ { - 2 } b ^ { - 3 } c \left( a ^ { 7 } b ^ { - 7 } c ^ { 3 } - a b ^ { - 2 } c ^ { - 5 } \right)$

Expressions such as $5 x ^ { 2 } \text { and } 6 ^ { 3 }$ are called __________ expressions.

Factor completely: $2 x ^ { 3 } - 18 x - 7 x ^ { 2 } + 63$

Use the graph to solve $x ^ { 2 } - 2 x - 3 = 0$ . $Use the graph to solve x ^ { 2 } - 2 x - 3 = 0 .$

Classify: $4 x ^ { - 7 } + 4 x$

Classify the polynomial as a monomial, binomial, trinomial, or none of these. $6 x ^ { 3 } y - 5 x + 2 y$