Question 1

Factor: $x ^ { 2 } ( c + d ) + 44 ( d + c )$

Accepted Answer

The answer of Factor: \(x ^ { 2 } (...

Question 2

The approximate number of atoms of carbon in a $\frac { 1 } { 5 }$ -carat diamond can be found by computing the following expression. $\frac { 6.0 \times 10 ^ { 23 } } { 3 \times 10 ^ { 2 } }$ Express the number of carbon atoms in scientific notation.  $\times 10 ^ { - }$ Express the number of carbon atoms in standard notation. __________

Accepted Answer

The answer of The approximate number of atoms of carbon...

Question 3

Simplify the expression. Write the answer using positive exponents. $m ^ { - 4 } m ^ { 3 } m ^ { - 8 }$

Accepted Answer

A)  $\frac { 1 } { m }$ 
B)  $\frac { 1 } { 9 }$ 
C)  $m ^ { 9 }$ 
D)  $\frac { 1 } { m ^ { 9 } }$ 
E)  $\frac { 1 } { m ^ { \frac { 1 } { 9 } } }$ 
A)  $\frac { 1 } { m }$ 
B)  $\frac { 1 } { 9 }$ 
C)  $m ^ { 9 }$ 
D)  $\frac { 1 } { m ^ { 9 } }$ 
E)  $\frac { 1 } { m ^ { \frac { 1 } { 9 } } }$

Question 4

Evaluate: $6 ^ { - 2 }$

Accepted Answer

A)  -12 
B)  $\frac { 1 } { 36 }$ 
C)  -36 
D)  36 
A)  -12 
B)  $\frac { 1 } { 36 }$ 
C)  -36 
D)  36

Question 5

Factor the expression completely. $5 ( x + y ) ^ { 2 } + ( x + y ) - 6$ If the expression is prime, so indicate.

Accepted Answer

The answer of Factor the expression completely. \(5 ( x...

Question 6

Simplify the expression. $x ^ { 5 } x ^ { 16 } x$

Accepted Answer

The answer of Simplify the expression. \(x ^ { 5...

Question 7

Multiply. Give the answer in scientific notation. $\left( 8.1 \times 10 ^ { 5 } \right) \left( 1.7 \times 10 ^ { 6 } \right)$

Accepted Answer

A)  $1.343 \times 10 ^ { 12 }$ 
B)  $1.394 \times 10 ^ { 12 }$ 
C)  $1.377 \times 10 ^ { 12 }$ 
D)  $1.377 \times 10 ^ { 11 }$ 
E)  $1.343 \times 10 ^ { 11 }$ 
A)  $1.343 \times 10 ^ { 12 }$ 
B)  $1.394 \times 10 ^ { 12 }$ 
C)  $1.377 \times 10 ^ { 12 }$ 
D)  $1.377 \times 10 ^ { 11 }$ 
E)  $1.343 \times 10 ^ { 11 }$

Question 8

Solve the equation. $3 ( 4 b - 5 )$, b = __________ If there is more than one solution, separate your answers with commas.

Accepted Answer

The answer of Solve the equation. \(3 ( 4 b...

Question 9

Write the number in standard notation. $3.72 \times 10 ^ { 0 }$

Accepted Answer

The answer of Write the number in standard notation. \(3.72...

Question 10

Factor the expression completely. $- 2 x ^ { 2 } y - 6 x y ^ { 2 } + 10 x y$ If the expression is prime, so indicate.

Accepted Answer

The answer of Factor the expression completely. \(- 2 x...

Question 11

Find the product. $\left( y ^ { 3 } - 5 \right) \left( y ^ { 3 } + 5 \right)$

Accepted Answer

The answer of Find the product. \(\left( y ^ {...

Question 12

Solve the equation. $( x + 1 ) ^ { 2 } = - 2 ( x + 1 ) - 1$

Accepted Answer

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

Question 13

Simplify: $x ^ { 6 } \cdot x ^ { 8 } \cdot x$

Accepted Answer

A)  $3 x ^ { 15 }$ 
B)  $x ^ { 48 }$ 
C)  $x ^ { 15 }$ 
D)  $x ^ { 14 }$ 
A)  $3 x ^ { 15 }$ 
B)  $x ^ { 48 }$ 
C)  $x ^ { 15 }$ 
D)  $x ^ { 14 }$

Question 14

Classify the polynomial as a monomial, binomial, trinomial, or none of these. $5 x ^ { 7 } + 6 y ^ { 3 }$

Accepted Answer

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

Question 15

Multiply. $6 m y ( 2 m - y ) ( 4 m - y )$

Accepted Answer

The answer of Multiply. \(6 m y ( 2 m...

Question 16

Factor completely: ( a + b )2 - 8( a + b ) - 9

Accepted Answer

A)  $( a + b - 9 ) ( a + b + 1 )$ 
B)  $( a + b + 9 ) ( a + b - 1 )$ 
C)  $( a + b - 3 ) ( a + b + 3 )$ 
D)  $( a + b + 3 ) ( a + b - 3 )$ 
A)  $( a + b - 9 ) ( a + b + 1 )$ 
B)  $( a + b + 9 ) ( a + b - 1 )$ 
C)  $( a + b - 3 ) ( a + b + 3 )$ 
D)  $( a + b + 3 ) ( a + b - 3 )$

Question 17

Perform the indicated operation: $\left( 4 x ^ { 2 } - 6 x - 6 \right) - \left( 8 x ^ { 2 } + 10 x - 3 \right)$

Accepted Answer

A)  $- 4 x ^ { 2 } - 16 x - 3$ 
B)  $- 4 x ^ { 2 } + 4 x - 9$ 
C)  $- 4 x ^ { 4 } - 16 x ^ { 2 } - 3$ 
D)  $- 4 x ^ { 4 } + 4 x ^ { 2 } - 9$ 
A)  $- 4 x ^ { 2 } - 16 x - 3$ 
B)  $- 4 x ^ { 2 } + 4 x - 9$ 
C)  $- 4 x ^ { 4 } - 16 x ^ { 2 } - 3$ 
D)  $- 4 x ^ { 4 } + 4 x ^ { 2 } - 9$

Question 18

Multiply. $3 x ^ { 2 } y z \left( x ^ { 2 } - 2 y + 3 z ^ { 2 } \right)$

Accepted Answer

The answer of Multiply. \(3 x ^ { 2 }...

Question 19

Simplify the expression. $( - 3 ) ^ { - 3 }$

Accepted Answer

A)  $\frac { 1 } { 27 }$ 
B)  -27 
C)  27 
D)  $- \frac { 1 } { 27 }$ 
E)  9 
A)  $\frac { 1 } { 27 }$ 
B)  -27 
C)  27 
D)  $- \frac { 1 } { 27 }$ 
E)  9

Question 20

Use the graph to solve $x ^ { 2 } + 6 x + 8 = 0$ .  
 x = __________ If there is more than one solution separate your answers with commas.

Accepted Answer

The answer of Use the graph to solve \(x ^...

Factor: $x ^ { 2 } ( c + d ) + 44 ( d + c )$

Simplify the expression. Write the answer using positive exponents. $m ^ { - 4 } m ^ { 3 } m ^ { - 8 }$

Evaluate: $6 ^ { - 2 }$

Factor the expression completely. $5 ( x + y ) ^ { 2 } + ( x + y ) - 6$ If the expression is prime, so indicate.

Simplify the expression. $x ^ { 5 } x ^ { 16 } x$

Multiply. Give the answer in scientific notation. $\left( 8.1 \times 10 ^ { 5 } \right) \left( 1.7 \times 10 ^ { 6 } \right)$

Solve the equation. $3 ( 4 b - 5 )$ , b = __________ If there is more than one solution, separate your answers with commas.

Write the number in standard notation. $3.72 \times 10 ^ { 0 }$

Factor the expression completely. $- 2 x ^ { 2 } y - 6 x y ^ { 2 } + 10 x y$ If the expression is prime, so indicate.

Find the product. $\left( y ^ { 3 } - 5 \right) \left( y ^ { 3 } + 5 \right)$

Solve the equation. $( x + 1 ) ^ { 2 } = - 2 ( x + 1 ) - 1$

Simplify: $x ^ { 6 } \cdot x ^ { 8 } \cdot x$

Classify the polynomial as a monomial, binomial, trinomial, or none of these. $5 x ^ { 7 } + 6 y ^ { 3 }$

Multiply. $6 m y ( 2 m - y ) ( 4 m - y )$

Factor completely: ( a + b )² - 8( a + b ) - 9

Perform the indicated operation: $\left( 4 x ^ { 2 } - 6 x - 6 \right) - \left( 8 x ^ { 2 } + 10 x - 3 \right)$

Multiply. $3 x ^ { 2 } y z \left( x ^ { 2 } - 2 y + 3 z ^ { 2 } \right)$

Simplify the expression. $( - 3 ) ^ { - 3 }$

Use the graph to solve $x ^ { 2 } + 6 x + 8 = 0$ . $Use the graph to solve x ^ { 2 } + 6 x + 8 = 0 . x = If there is more than one solution separate your answers with commas.$ x = If there is more than one solution separate your answers with commas.

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

Factor: x2(c+d)+44(d+c)x ^ { 2 } ( c + d ) + 44 ( d + c )x2(c+d)+44(d+c)

Simplify the expression. Write the answer using positive exponents. m−4m3m−8m ^ { - 4 } m ^ { 3 } m ^ { - 8 }m−4m3m−8

Evaluate: 6−26 ^ { - 2 }6−2

Factor the expression completely. 5(x+y)2+(x+y)−65 ( x + y ) ^ { 2 } + ( x + y ) - 65(x+y)2+(x+y)−6 If the expression is prime, so indicate.

Simplify the expression. x5x16xx ^ { 5 } x ^ { 16 } xx5x16x

Multiply. Give the answer in scientific notation. (8.1×105)(1.7×106)\left( 8.1 \times 10 ^ { 5 } \right) \left( 1.7 \times 10 ^ { 6 } \right)(8.1×105)(1.7×106)

Solve the equation. 3(4b−5)3 ( 4 b - 5 )3(4b−5) , b = __________ If there is more than one solution, separate your answers with commas.

Write the number in standard notation. 3.72×1003.72 \times 10 ^ { 0 }3.72×100

Factor the expression completely. −2x2y−6xy2+10xy- 2 x ^ { 2 } y - 6 x y ^ { 2 } + 10 x y−2x2y−6xy2+10xy If the expression is prime, so indicate.

Find the product. (y3−5)(y3+5)\left( y ^ { 3 } - 5 \right) \left( y ^ { 3 } + 5 \right)(y3−5)(y3+5)

Solve the equation. (x+1)2=−2(x+1)−1( x + 1 ) ^ { 2 } = - 2 ( x + 1 ) - 1(x+1)2=−2(x+1)−1

Simplify: x6⋅x8⋅xx ^ { 6 } \cdot x ^ { 8 } \cdot xx6⋅x8⋅x

Classify the polynomial as a monomial, binomial, trinomial, or none of these. 5x7+6y35 x ^ { 7 } + 6 y ^ { 3 }5x7+6y3

Multiply. 6my(2m−y)(4m−y)6 m y ( 2 m - y ) ( 4 m - y )6my(2m−y)(4m−y)

Factor completely: ( a + b )2 - 8( a + b ) - 9

Perform the indicated operation: (4x2−6x−6)−(8x2+10x−3)\left( 4 x ^ { 2 } - 6 x - 6 \right) - \left( 8 x ^ { 2 } + 10 x - 3 \right)(4x2−6x−6)−(8x2+10x−3)

Multiply. 3x2yz(x2−2y+3z2)3 x ^ { 2 } y z \left( x ^ { 2 } - 2 y + 3 z ^ { 2 } \right)3x2yz(x2−2y+3z2)

Simplify the expression. (−3)−3( - 3 ) ^ { - 3 }(−3)−3

Use the graph to solve x2+6x+8=0x ^ { 2 } + 6 x + 8 = 0x2+6x+8=0 . x = __________ If there is more than one solution separate your answers with commas.

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

Factor: $x ^ { 2 } ( c + d ) + 44 ( d + c )$

Simplify the expression. Write the answer using positive exponents. $m ^ { - 4 } m ^ { 3 } m ^ { - 8 }$

Evaluate: $6 ^ { - 2 }$

Factor the expression completely. $5 ( x + y ) ^ { 2 } + ( x + y ) - 6$ If the expression is prime, so indicate.

Simplify the expression. $x ^ { 5 } x ^ { 16 } x$

Multiply. Give the answer in scientific notation. $\left( 8.1 \times 10 ^ { 5 } \right) \left( 1.7 \times 10 ^ { 6 } \right)$

Solve the equation. $3 ( 4 b - 5 )$ , b = __________ If there is more than one solution, separate your answers with commas.

Write the number in standard notation. $3.72 \times 10 ^ { 0 }$

Factor the expression completely. $- 2 x ^ { 2 } y - 6 x y ^ { 2 } + 10 x y$ If the expression is prime, so indicate.

Find the product. $\left( y ^ { 3 } - 5 \right) \left( y ^ { 3 } + 5 \right)$

Solve the equation. $( x + 1 ) ^ { 2 } = - 2 ( x + 1 ) - 1$

Simplify: $x ^ { 6 } \cdot x ^ { 8 } \cdot x$

Classify the polynomial as a monomial, binomial, trinomial, or none of these. $5 x ^ { 7 } + 6 y ^ { 3 }$

Multiply. $6 m y ( 2 m - y ) ( 4 m - y )$

Factor completely: ( a + b )² - 8( a + b ) - 9

Perform the indicated operation: $\left( 4 x ^ { 2 } - 6 x - 6 \right) - \left( 8 x ^ { 2 } + 10 x - 3 \right)$

Multiply. $3 x ^ { 2 } y z \left( x ^ { 2 } - 2 y + 3 z ^ { 2 } \right)$

Simplify the expression. $( - 3 ) ^ { - 3 }$

Use the graph to solve $x ^ { 2 } + 6 x + 8 = 0$ . $Use the graph to solve x ^ { 2 } + 6 x + 8 = 0 . x = If there is more than one solution separate your answers with commas.$ x = If there is more than one solution separate your answers with commas.