Question 1

Perform the indicated operations. $3 p - \{ 11 p - [ 8 p - ( 2 p - 2 ) ] \}$

Accepted Answer

The answer of Perform the indicated operations. \(3 p -...

Question 2

Find the indicated product by applying the distributive property and combining similar terms. $\left( x ^ { 2 } - 4 x - 5 \right) \left( x ^ { 2 } + 9 x - 7 \right)$

Accepted Answer

The answer of Find the indicated product by applying the...

Question 3

Write the following number in standard decimal form. $( 7.67 ) \left( 10 ^ { - 4 } \right)$

Accepted Answer

A)  0.000767 
B)  0.000077 
C)  0.0767 
D)  0.00767 
A)  0.000767 
B)  0.000077 
C)  0.0767 
D)  0.00767

Question 4

Perform the indicated operations. $12 z - [ 6 z - ( 6 z - 17 ) ]$

Accepted Answer

The answer of Perform the indicated operations. \(12 z -...

Question 5

Perform the division of the polynomials by monomials. $\frac { - 40 p ^ { 7 } + 36 p ^ { 15 } } { 4 p ^ { 3 } }$

Accepted Answer

A)  $- 10 p ^ { 4 } + 9 p ^ { 12 }$ 
B)  $- 10 p ^ { 10 } + 9 p ^ { 12 }$ 
C)  $- 10 p ^ { 5 } + 9 p ^ { 15 }$ 
A)  $- 10 p ^ { 4 } + 9 p ^ { 12 }$ 
B)  $- 10 p ^ { 10 } + 9 p ^ { 12 }$ 
C)  $- 10 p ^ { 5 } + 9 p ^ { 15 }$

Question 6

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( \frac { a ^ { - 5 } } { b ^ { - 10 } } \right) ^ { - 1 }$

Accepted Answer

A)  $\frac { a ^ { 5 } } { b ^ { 10 } }$ 
B)  $a ^ { 5 } b ^ { 10 }$ 
C)  $\frac { b ^ { 10 } } { a ^ { 5 } }$ 
D)  $\frac { a ^ { 10 } } { b ^ { 5 } }$ 
A)  $\frac { a ^ { 5 } } { b ^ { 10 } }$ 
B)  $a ^ { 5 } b ^ { 10 }$ 
C)  $\frac { b ^ { 10 } } { a ^ { 5 } }$ 
D)  $\frac { a ^ { 10 } } { b ^ { 5 } }$

Question 7

The distributive property is used to multiply two binomials.

Accepted Answer

A) True 
 B)False

Question 8

Multiply. $\left( - 8 x ^ { 5 } y ^ { 2 } \right) ( 9 x y )$

Accepted Answer

A)  $- 72 x ^ { 5 } y ^ { 3 }$ 
B)  $- 56 x ^ { 6 } y ^ { 3 }$ 
C)  $- 74 x ^ { 6 } y ^ { 2 }$ 
D)  $- 72 x ^ { 6 } y ^ { 3 }$ 
E)  $- 69 x ^ { 6 } y ^ { 3 }$ 
A)  $- 72 x ^ { 5 } y ^ { 3 }$ 
B)  $- 56 x ^ { 6 } y ^ { 3 }$ 
C)  $- 74 x ^ { 6 } y ^ { 2 }$ 
D)  $- 72 x ^ { 6 } y ^ { 3 }$ 
E)  $- 69 x ^ { 6 } y ^ { 3 }$

Question 9

Divide the monomials. $\frac { 2 y ^ { 13 } w ^ { 14 } } { y ^ { 2 } w ^ { 2 } }$

Accepted Answer

A)  $2 y ^ { 13 } w ^ { 12 }$ 
B)  $2 y ^ { 11 } w ^ { 12 }$ 
C)  $2 y ^ { 11 } w ^ { 13 }$ 
D)  $2 y ^ { 12 } w ^ { 13 }$ 
A)  $2 y ^ { 13 } w ^ { 12 }$ 
B)  $2 y ^ { 11 } w ^ { 12 }$ 
C)  $2 y ^ { 11 } w ^ { 13 }$ 
D)  $2 y ^ { 12 } w ^ { 13 }$

Question 10

Divide the monomials. $\frac { 10 z ^ { 10 } } { z ^ { 4 } }$

Accepted Answer

The answer of Divide the monomials. \(\frac { 10 z...

Question 11

Terms must be similar in order to multiply monomials.

Accepted Answer

A) True 
 B)False

Question 12

Multiply by using the distributive property. $- 4 y \left( 9 y ^ { 2 } - 2 y - 8 \right)$

Accepted Answer

A)  $- 4 y ^ { 3 } + 8 y ^ { 2 } + 32 y$ 
B)  $- 36 y ^ { 3 } + 2 y ^ { 2 } + 8 y$ 
C)  $- 36 y ^ { 3 } + 8 y ^ { 2 } + 32 y$ 
D)  $- 36 y ^ { 3 } + 2 y ^ { 2 } + 32 y$ 
E)  $- 36 y ^ { 3 } + 8 y ^ { 2 } + 8 y$ 
A)  $- 4 y ^ { 3 } + 8 y ^ { 2 } + 32 y$ 
B)  $- 36 y ^ { 3 } + 2 y ^ { 2 } + 8 y$ 
C)  $- 36 y ^ { 3 } + 8 y ^ { 2 } + 32 y$ 
D)  $- 36 y ^ { 3 } + 2 y ^ { 2 } + 32 y$ 
E)  $- 36 y ^ { 3 } + 8 y ^ { 2 } + 8 y$

Question 13

When raising a monomial to a power, raise each factor to that power.

Accepted Answer

A) True 
 B)False

Question 14

Perform the division. $\left( x ^ { 2 } - 6 x - 27 \right) \div ( x - 9 )$

Accepted Answer

A)  3 $-$ x 
B)  9 x $-$ 3 
C)  x + 3 
D)  x $-$ 3 
E)  9 x + 3 
A)  3 $-$ x 
B)  9 x $-$ 3 
C)  x + 3 
D)  x $-$ 3 
E)  9 x + 3

Question 15

Evaluate the following numerical expression. $\frac { 1 } { 3 ^ { - 5 } }$ Express your answer as an integer or a fraction in lowest terms.

Accepted Answer

The answer of Evaluate the following numerical expression. \(\frac {...

Question 16

Perform the division of the polynomials by monomials. $\frac { 80 y ^ { 5 } + 80 y ^ { 12 } + 80 y ^ { 17 } } { 10 y ^ { 2 } }$

Accepted Answer

The answer of Perform the division of the polynomials by...

Question 17

Perform the division of the polynomials by monomials. $\frac { 24 p ^ { 14 } + 72 p ^ { 15 } + 104 p ^ { 16 } } { 8 p ^ { 3 } }$

Accepted Answer

A)  $3 p ^ { 13 } + 9 p ^ { 12 } + 13 p ^ { 13 }$ 
B)  $3 p ^ { 11 } + 9 p ^ { 12 } + 13 p ^ { 15 }$ 
C)  $3 p ^ { 11 } + 9 p ^ { 14 } + 13 p ^ { 14 }$ 
D)  $3 p ^ { 11 } + 9 p ^ { 12 } + 13 p ^ { 13 }$ 
A)  $3 p ^ { 13 } + 9 p ^ { 12 } + 13 p ^ { 13 }$ 
B)  $3 p ^ { 11 } + 9 p ^ { 12 } + 13 p ^ { 15 }$ 
C)  $3 p ^ { 11 } + 9 p ^ { 14 } + 13 p ^ { 14 }$ 
D)  $3 p ^ { 11 } + 9 p ^ { 12 } + 13 p ^ { 13 }$

Question 18

Add the polynomials. $5 p ^ { 5 } + 3 p + 10 \text { and } - 9 p ^ { 5 } - 10 p + 15$

Accepted Answer

A)  $14 p ^ { 5 } - 7 p + 25$ 
B)  $- 4 p ^ { 5 } - 7 p + 25$ 
C)  $- 4 p ^ { 5 } + 7 p - 25$ 
D)  $- 4 p ^ { 10 } - 7 p ^ { 2 } - 25$ 
E)  $14 p ^ { 5 } + 7 p + 25$ 
A)  $14 p ^ { 5 } - 7 p + 25$ 
B)  $- 4 p ^ { 5 } - 7 p + 25$ 
C)  $- 4 p ^ { 5 } + 7 p - 25$ 
D)  $- 4 p ^ { 10 } - 7 p ^ { 2 } - 25$ 
E)  $14 p ^ { 5 } + 7 p + 25$

Question 19

Find $( 3 x - 1 ) ^ { 3 }$ . Don t forget that $( 3 x - 1 ) ^ { 3 }$ means (3 x $-$ 1)(3 x $-$ 1)(3 x $-$ 1).

Accepted Answer

The answer of Find \(( 3 x - 1 )...

Question 20

Add the polynomials. $6 p ^ { 2 } + 3 p + 15 \text { and } - 8 p ^ { 2 } - 7 p + 14$

Accepted Answer

The answer of Add the polynomials. \(6 p ^ {...

Perform the indicated operations. $3 p - \{ 11 p - [ 8 p - ( 2 p - 2 ) ] \}$

Find the indicated product by applying the distributive property and combining similar terms. $\left( x ^ { 2 } - 4 x - 5 \right) \left( x ^ { 2 } + 9 x - 7 \right)$

Write the following number in standard decimal form. $( 7.67 ) \left( 10 ^ { - 4 } \right)$

Perform the indicated operations. $12 z - [ 6 z - ( 6 z - 17 ) ]$

Perform the division of the polynomials by monomials. $\frac { - 40 p ^ { 7 } + 36 p ^ { 15 } } { 4 p ^ { 3 } }$

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( \frac { a ^ { - 5 } } { b ^ { - 10 } } \right) ^ { - 1 }$

The distributive property is used to multiply two binomials.

Multiply. $\left( - 8 x ^ { 5 } y ^ { 2 } \right) ( 9 x y )$

Divide the monomials. $\frac { 2 y ^ { 13 } w ^ { 14 } } { y ^ { 2 } w ^ { 2 } }$

Divide the monomials. $\frac { 10 z ^ { 10 } } { z ^ { 4 } }$

Terms must be similar in order to multiply monomials.

Multiply by using the distributive property. $- 4 y \left( 9 y ^ { 2 } - 2 y - 8 \right)$

When raising a monomial to a power, raise each factor to that power.

Perform the division. $\left( x ^ { 2 } - 6 x - 27 \right) \div ( x - 9 )$

Evaluate the following numerical expression. $\frac { 1 } { 3 ^ { - 5 } }$ Express your answer as an integer or a fraction in lowest terms.

Perform the division of the polynomials by monomials. $\frac { 80 y ^ { 5 } + 80 y ^ { 12 } + 80 y ^ { 17 } } { 10 y ^ { 2 } }$

Perform the division of the polynomials by monomials. $\frac { 24 p ^ { 14 } + 72 p ^ { 15 } + 104 p ^ { 16 } } { 8 p ^ { 3 } }$

Add the polynomials. $5 p ^ { 5 } + 3 p + 10 \text { and } - 9 p ^ { 5 } - 10 p + 15$

Find $( 3 x - 1 ) ^ { 3 }$ . Don t forget that $( 3 x - 1 ) ^ { 3 }$ means (3 x $-$ 1)(3 x $-$ 1)(3 x $-$ 1).

Add the polynomials. $6 p ^ { 2 } + 3 p + 15 \text { and } - 8 p ^ { 2 } - 7 p + 14$

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 6: Exponents and Polynomials

Perform the indicated operations. 3p−{11p−[8p−(2p−2)]}3 p - \{ 11 p - [ 8 p - ( 2 p - 2 ) ] \}3p−{11p−[8p−(2p−2)]}

Find the indicated product by applying the distributive property and combining similar terms. (x2−4x−5)(x2+9x−7)\left( x ^ { 2 } - 4 x - 5 \right) \left( x ^ { 2 } + 9 x - 7 \right)(x2−4x−5)(x2+9x−7)

Write the following number in standard decimal form. (7.67)(10−4)( 7.67 ) \left( 10 ^ { - 4 } \right)(7.67)(10−4)

Perform the indicated operations. 12z−[6z−(6z−17)]12 z - [ 6 z - ( 6 z - 17 ) ]12z−[6z−(6z−17)]

Perform the division of the polynomials by monomials. −40p7+36p154p3\frac { - 40 p ^ { 7 } + 36 p ^ { 15 } } { 4 p ^ { 3 } }4p3−40p7+36p15​

Simplify the following algebraic expression and express your answer using positive exponents only. (a−5b−10)−1\left( \frac { a ^ { - 5 } } { b ^ { - 10 } } \right) ^ { - 1 }(b−10a−5​)−1

The distributive property is used to multiply two binomials.

Multiply. (−8x5y2)(9xy)\left( - 8 x ^ { 5 } y ^ { 2 } \right) ( 9 x y )(−8x5y2)(9xy)

Divide the monomials. 2y13w14y2w2\frac { 2 y ^ { 13 } w ^ { 14 } } { y ^ { 2 } w ^ { 2 } }y2w22y13w14​

Divide the monomials. 10z10z4\frac { 10 z ^ { 10 } } { z ^ { 4 } }z410z10​

Terms must be similar in order to multiply monomials.

Multiply by using the distributive property. −4y(9y2−2y−8)- 4 y \left( 9 y ^ { 2 } - 2 y - 8 \right)−4y(9y2−2y−8)

When raising a monomial to a power, raise each factor to that power.

Perform the division. (x2−6x−27)÷(x−9)\left( x ^ { 2 } - 6 x - 27 \right) \div ( x - 9 )(x2−6x−27)÷(x−9)

Evaluate the following numerical expression. 13−5\frac { 1 } { 3 ^ { - 5 } }3−51​ Express your answer as an integer or a fraction in lowest terms.

Perform the division of the polynomials by monomials. 80y5+80y12+80y1710y2\frac { 80 y ^ { 5 } + 80 y ^ { 12 } + 80 y ^ { 17 } } { 10 y ^ { 2 } }10y280y5+80y12+80y17​

Perform the division of the polynomials by monomials. 24p14+72p15+104p168p3\frac { 24 p ^ { 14 } + 72 p ^ { 15 } + 104 p ^ { 16 } } { 8 p ^ { 3 } }8p324p14+72p15+104p16​

Add the polynomials. 5p5+3p+10 and −9p5−10p+155 p ^ { 5 } + 3 p + 10 \text { and } - 9 p ^ { 5 } - 10 p + 155p5+3p+10 and −9p5−10p+15

Find (3x−1)3( 3 x - 1 ) ^ { 3 }(3x−1)3 . Don t forget that (3x−1)3( 3 x - 1 ) ^ { 3 }(3x−1)3 means (3 x −-− 1)(3 x −-− 1)(3 x −-− 1).

Add the polynomials. 6p2+3p+15 and −8p2−7p+146 p ^ { 2 } + 3 p + 15 \text { and } - 8 p ^ { 2 } - 7 p + 146p2+3p+15 and −8p2−7p+14

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Perform the indicated operations. $3 p - \{ 11 p - [ 8 p - ( 2 p - 2 ) ] \}$

Find the indicated product by applying the distributive property and combining similar terms. $\left( x ^ { 2 } - 4 x - 5 \right) \left( x ^ { 2 } + 9 x - 7 \right)$

Write the following number in standard decimal form. $( 7.67 ) \left( 10 ^ { - 4 } \right)$

Perform the indicated operations. $12 z - [ 6 z - ( 6 z - 17 ) ]$

Perform the division of the polynomials by monomials. $\frac { - 40 p ^ { 7 } + 36 p ^ { 15 } } { 4 p ^ { 3 } }$

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( \frac { a ^ { - 5 } } { b ^ { - 10 } } \right) ^ { - 1 }$

Multiply. $\left( - 8 x ^ { 5 } y ^ { 2 } \right) ( 9 x y )$

Divide the monomials. $\frac { 2 y ^ { 13 } w ^ { 14 } } { y ^ { 2 } w ^ { 2 } }$

Divide the monomials. $\frac { 10 z ^ { 10 } } { z ^ { 4 } }$

Multiply by using the distributive property. $- 4 y \left( 9 y ^ { 2 } - 2 y - 8 \right)$

Perform the division. $\left( x ^ { 2 } - 6 x - 27 \right) \div ( x - 9 )$

Evaluate the following numerical expression. $\frac { 1 } { 3 ^ { - 5 } }$ Express your answer as an integer or a fraction in lowest terms.

Perform the division of the polynomials by monomials. $\frac { 80 y ^ { 5 } + 80 y ^ { 12 } + 80 y ^ { 17 } } { 10 y ^ { 2 } }$

Perform the division of the polynomials by monomials. $\frac { 24 p ^ { 14 } + 72 p ^ { 15 } + 104 p ^ { 16 } } { 8 p ^ { 3 } }$

Add the polynomials. $5 p ^ { 5 } + 3 p + 10 \text { and } - 9 p ^ { 5 } - 10 p + 15$

Find $( 3 x - 1 ) ^ { 3 }$ . Don t forget that $( 3 x - 1 ) ^ { 3 }$ means (3 x $-$ 1)(3 x $-$ 1)(3 x $-$ 1).

Add the polynomials. $6 p ^ { 2 } + 3 p + 15 \text { and } - 8 p ^ { 2 } - 7 p + 14$