Question 1

$( h + 4 ) ^ { 3 } = h ^ { 3 } + 4 ^ { 3 }$

Accepted Answer

A) True 
 B)False

Question 2

Subtract the sum of 6 z + 5 and 8 z + 3 from 9 z + 3.

Accepted Answer

The answer of Subtract the sum of 6 z +...

Question 3

Divide the monomials. $\frac { 5 x ^ { 11 } m ^ { 10 } } { x ^ { 2 } m ^ { 9 } }$

Accepted Answer

The answer of Divide the monomials. \(\frac { 5 x...

Question 4

Find the indicated product by applying the distributive property and combining similar terms. $\left( x ^ { 2 } - 3 x - 8 \right) \left( x ^ { 2 } + 4 x - 9 \right)$

Accepted Answer

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

Question 5

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( \frac { 20 y ^ { 5 } } { 5 y ^ { - 2 } } \right) ^ { - 1 }$

Accepted Answer

A)  $\frac { 1 } { 4 y ^ { 7 } }$ 
B)  $\frac { 4 } { y ^ { 7 } }$ 
C)  $\frac { 1 } { 4 y ^ { 3 } }$ 
D)  $4 y ^ { 3 }$ 
E)  $4 y ^ { 7 }$ 
A)  $\frac { 1 } { 4 y ^ { 7 } }$ 
B)  $\frac { 4 } { y ^ { 7 } }$ 
C)  $\frac { 1 } { 4 y ^ { 3 } }$ 
D)  $4 y ^ { 3 }$ 
E)  $4 y ^ { 7 }$

Question 6

Simplify the following algebraic expression and express your answer using positive exponents only. $\frac { - 15 b ^ { - 4 } } { - 5 b ^ { - 4 } }$

Accepted Answer

A)  3 
B)  $\frac { 3 } { b ^ { - 4 } }$ 
C)  3 b 
D)  $-$ 3 
A)  3 
B)  $\frac { 3 } { b ^ { - 4 } }$ 
C)  3 b 
D)  $-$ 3

Question 7

The remainder can be expressed as a fractional part of the divisor.

Accepted Answer

A) True 
 B)False

Question 8

Find the indicated product by applying the distributive property and combining similar terms. ( n $-$ 7)( n $-$ 1)

Accepted Answer

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

Question 9

Multiply the following. $\left( 0.6 y ^ { 5 } \right) \left( 0.2 y ^ { 5 } \right)$ Enter your answer as $k y ^ { p }$ where k is a decimal, p is a number and y is a variable.

Accepted Answer

The answer of Multiply the following. \(\left( 0.6 y ^...

Question 10

Subtract the sum of 6 x + 17 and 8 x + 7 from 7 x + 11.

Accepted Answer

The answer of Subtract the sum of 6 x +...

Question 11

Subtract the sum of 2 p + 20 and 8 p +7 from 7 p + 2.

Accepted Answer

A)  $- 1 p - 29$ 
B)  $- 3 p + 25$ 
C)  $- 3 p - 25$ 
D)  $- 1 p - 20$ 
A)  $- 1 p - 29$ 
B)  $- 3 p + 25$ 
C)  $- 3 p - 25$ 
D)  $- 1 p - 20$

Question 12

Divide the monomials. $\frac { - 45 x ^ { 7 } m ^ { 14 } d ^ { 7 } } { 9 x ^ { 3 } m ^ { 9 } d ^ { 3 } }$ Enter your answer as $k x ^ { a } m^ { b } d^{c}$ , where k , a , b , c are numbers and x , m , d are variables.

Accepted Answer

The answer of Divide the monomials. \(\frac { - 45...

Question 13

Divide the monomials. $\frac { - 66 x ^ { 2 } w ^ { 10 } } { 6 w ^ { 4 } }$ Enter your answer as $k x ^ { a } w ^ { b }$ , where k , a , b are numbers and x , w are variables.

Accepted Answer

The answer of Divide the monomials. \(\frac { - 66...

Question 14

Use scientific notation and the properties of exponents to evaluate the following numerical expression. $\frac { ( 0.00044 ) ( 240 ) } { ( 0.011 ) ( 60 ) }$

Accepted Answer

A)  0.04 
B)  0.16 
C)  0.02 
D)  0.024 
A)  0.04 
B)  0.16 
C)  0.02 
D)  0.024

Question 15

Express in simplified form the total surface area of the rectangular solid given below, where a = 2 and b = 8.

Accepted Answer

A)  $4 x ^ { 2 } + 48 x$ 
B)  $5 x ^ { 2 } + 51 x$ 
C)  $2 x ^ { 2 } + 24 x$ 
D)  $4 x ^ { 2 } + 51 x$ 
E)  $5 x ^ { 2 } + 48 x$ 
A)  $4 x ^ { 2 } + 48 x$ 
B)  $5 x ^ { 2 } + 51 x$ 
C)  $2 x ^ { 2 } + 24 x$ 
D)  $4 x ^ { 2 } + 51 x$ 
E)  $5 x ^ { 2 } + 48 x$

Question 16

Add the polynomials. $5 z ^ { 3 } + 9 z + 10 \text { and } - 5 z ^ { 3 } - 7 z + 11$

Accepted Answer

A)  $10 z ^ { 3 } + 2 z + 21$ 
B)  $2 z + 21$ 
C)  $2 z - 21$ 
D)  $14 z + 21$ 
E)  $z ^ { 3 } + 2 z + 21$ 
A)  $10 z ^ { 3 } + 2 z + 21$ 
B)  $2 z + 21$ 
C)  $2 z - 21$ 
D)  $14 z + 21$ 
E)  $z ^ { 3 } + 2 z + 21$

Question 17

Represent the area of the shaded region in the following figure, where a = 9, b = 5, c = 7 and d = 8.

Accepted Answer

The answer of Represent the area of the shaded region...

Question 18

Find the indicated product by applying the distributive property and combining similar terms. (2 x $-$ 7)(4 x $-$ 3)

Accepted Answer

A)  $8 x ^ { 2 } - 6 x + 21$ 
B)  $8 x ^ { 2 } + 34 x + 21$ 
C)  $8 x ^ { 2 } - 34 x$ 
D)  $8 x ^ { 2 } - 34 x + 21$ 
E)  none of these 
A)  $8 x ^ { 2 } - 6 x + 21$ 
B)  $8 x ^ { 2 } + 34 x + 21$ 
C)  $8 x ^ { 2 } - 34 x$ 
D)  $8 x ^ { 2 } - 34 x + 21$ 
E)  none of these

Question 19

Add the polynomials. $5 z ^ { 2 } + 4 z + 10 \text { and } - 10 z ^ { 2 } - 8 z + 13$

Accepted Answer

A)  $- 5 z ^ { 4 } - 4 z ^ { 2 } - 23$ 
B)  $- 5 z ^ { 2 } + 4 z - 23$ 
C)  $- 5 z ^ { 2 } - 4 z + 23$ 
A)  $- 5 z ^ { 4 } - 4 z ^ { 2 } - 23$ 
B)  $- 5 z ^ { 2 } + 4 z - 23$ 
C)  $- 5 z ^ { 2 } - 4 z + 23$

Question 20

To check a division problem, multiply the divisor times the quotient.

Accepted Answer

A) True 
 B)False

$( h + 4 ) ^ { 3 } = h ^ { 3 } + 4 ^ { 3 }$

Subtract the sum of 6 z + 5 and 8 z + 3 from 9 z + 3.

Divide the monomials. $\frac { 5 x ^ { 11 } m ^ { 10 } } { x ^ { 2 } m ^ { 9 } }$

Find the indicated product by applying the distributive property and combining similar terms. $\left( x ^ { 2 } - 3 x - 8 \right) \left( x ^ { 2 } + 4 x - 9 \right)$

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( \frac { 20 y ^ { 5 } } { 5 y ^ { - 2 } } \right) ^ { - 1 }$

Simplify the following algebraic expression and express your answer using positive exponents only. $\frac { - 15 b ^ { - 4 } } { - 5 b ^ { - 4 } }$

The remainder can be expressed as a fractional part of the divisor.

Find the indicated product by applying the distributive property and combining similar terms. ( n $-$ 7)( n $-$ 1)

Multiply the following. $\left( 0.6 y ^ { 5 } \right) \left( 0.2 y ^ { 5 } \right)$ Enter your answer as $k y ^ { p }$ where k is a decimal, p is a number and y is a variable.

Subtract the sum of 6 x + 17 and 8 x + 7 from 7 x + 11.

Subtract the sum of 2 p + 20 and 8 p +7 from 7 p + 2.

Divide the monomials. $\frac { - 45 x ^ { 7 } m ^ { 14 } d ^ { 7 } } { 9 x ^ { 3 } m ^ { 9 } d ^ { 3 } }$ Enter your answer as $k x ^ { a } m^ { b } d^{c}$ , where k , a , b , c are numbers and x , m , d are variables.

Divide the monomials. $\frac { - 66 x ^ { 2 } w ^ { 10 } } { 6 w ^ { 4 } }$ Enter your answer as $k x ^ { a } w ^ { b }$ , where k , a , b are numbers and x , w are variables.

Use scientific notation and the properties of exponents to evaluate the following numerical expression. $\frac { ( 0.00044 ) ( 240 ) } { ( 0.011 ) ( 60 ) }$

Express in simplified form the total surface area of the rectangular solid given below, where a = 2 and b = 8.

Add the polynomials. $5 z ^ { 3 } + 9 z + 10 \text { and } - 5 z ^ { 3 } - 7 z + 11$

Represent the area of the shaded region in the following figure, where a = 9, b = 5, c = 7 and d = 8.

Find the indicated product by applying the distributive property and combining similar terms. (2 x $-$ 7)(4 x $-$ 3)

Add the polynomials. $5 z ^ { 2 } + 4 z + 10 \text { and } - 10 z ^ { 2 } - 8 z + 13$

To check a division problem, multiply the divisor times the quotient.

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

(h+4)3=h3+43( h + 4 ) ^ { 3 } = h ^ { 3 } + 4 ^ { 3 }(h+4)3=h3+43

Subtract the sum of 6 z + 5 and 8 z + 3 from 9 z + 3.

Divide the monomials. 5x11m10x2m9\frac { 5 x ^ { 11 } m ^ { 10 } } { x ^ { 2 } m ^ { 9 } }x2m95x11m10​

Find the indicated product by applying the distributive property and combining similar terms. (x2−3x−8)(x2+4x−9)\left( x ^ { 2 } - 3 x - 8 \right) \left( x ^ { 2 } + 4 x - 9 \right)(x2−3x−8)(x2+4x−9)

Simplify the following algebraic expression and express your answer using positive exponents only. (20y55y−2)−1\left( \frac { 20 y ^ { 5 } } { 5 y ^ { - 2 } } \right) ^ { - 1 }(5y−220y5​)−1

Simplify the following algebraic expression and express your answer using positive exponents only. −15b−4−5b−4\frac { - 15 b ^ { - 4 } } { - 5 b ^ { - 4 } }−5b−4−15b−4​

The remainder can be expressed as a fractional part of the divisor.

Find the indicated product by applying the distributive property and combining similar terms. ( n −-− 7)( n −-− 1)

Multiply the following. (0.6y5)(0.2y5)\left( 0.6 y ^ { 5 } \right) \left( 0.2 y ^ { 5 } \right)(0.6y5)(0.2y5) Enter your answer as kypk y ^ { p }kyp where k is a decimal, p is a number and y is a variable.

Subtract the sum of 6 x + 17 and 8 x + 7 from 7 x + 11.

Subtract the sum of 2 p + 20 and 8 p +7 from 7 p + 2.

Divide the monomials. −45x7m14d79x3m9d3\frac { - 45 x ^ { 7 } m ^ { 14 } d ^ { 7 } } { 9 x ^ { 3 } m ^ { 9 } d ^ { 3 } }9x3m9d3−45x7m14d7​ Enter your answer as kxambdck x ^ { a } m^ { b } d^{c}kxambdc , where k , a , b , c are numbers and x , m , d are variables.

Divide the monomials. −66x2w106w4\frac { - 66 x ^ { 2 } w ^ { 10 } } { 6 w ^ { 4 } }6w4−66x2w10​ Enter your answer as kxawbk x ^ { a } w ^ { b }kxawb , where k , a , b are numbers and x , w are variables.

Use scientific notation and the properties of exponents to evaluate the following numerical expression. (0.00044)(240)(0.011)(60)\frac { ( 0.00044 ) ( 240 ) } { ( 0.011 ) ( 60 ) }(0.011)(60)(0.00044)(240)​

Express in simplified form the total surface area of the rectangular solid given below, where a = 2 and b = 8.

Add the polynomials. 5z3+9z+10 and −5z3−7z+115 z ^ { 3 } + 9 z + 10 \text { and } - 5 z ^ { 3 } - 7 z + 115z3+9z+10 and −5z3−7z+11

Represent the area of the shaded region in the following figure, where a = 9, b = 5, c = 7 and d = 8.

Find the indicated product by applying the distributive property and combining similar terms. (2 x −-− 7)(4 x −-− 3)

Add the polynomials. 5z2+4z+10 and −10z2−8z+135 z ^ { 2 } + 4 z + 10 \text { and } - 10 z ^ { 2 } - 8 z + 135z2+4z+10 and −10z2−8z+13

To check a division problem, multiply the divisor times the quotient.

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

$( h + 4 ) ^ { 3 } = h ^ { 3 } + 4 ^ { 3 }$

Divide the monomials. $\frac { 5 x ^ { 11 } m ^ { 10 } } { x ^ { 2 } m ^ { 9 } }$

Find the indicated product by applying the distributive property and combining similar terms. $\left( x ^ { 2 } - 3 x - 8 \right) \left( x ^ { 2 } + 4 x - 9 \right)$

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( \frac { 20 y ^ { 5 } } { 5 y ^ { - 2 } } \right) ^ { - 1 }$

Simplify the following algebraic expression and express your answer using positive exponents only. $\frac { - 15 b ^ { - 4 } } { - 5 b ^ { - 4 } }$

Find the indicated product by applying the distributive property and combining similar terms. ( n $-$ 7)( n $-$ 1)

Multiply the following. $\left( 0.6 y ^ { 5 } \right) \left( 0.2 y ^ { 5 } \right)$ Enter your answer as $k y ^ { p }$ where k is a decimal, p is a number and y is a variable.

Divide the monomials. $\frac { - 45 x ^ { 7 } m ^ { 14 } d ^ { 7 } } { 9 x ^ { 3 } m ^ { 9 } d ^ { 3 } }$ Enter your answer as $k x ^ { a } m^ { b } d^{c}$ , where k , a , b , c are numbers and x , m , d are variables.

Divide the monomials. $\frac { - 66 x ^ { 2 } w ^ { 10 } } { 6 w ^ { 4 } }$ Enter your answer as $k x ^ { a } w ^ { b }$ , where k , a , b are numbers and x , w are variables.

Use scientific notation and the properties of exponents to evaluate the following numerical expression. $\frac { ( 0.00044 ) ( 240 ) } { ( 0.011 ) ( 60 ) }$

Add the polynomials. $5 z ^ { 3 } + 9 z + 10 \text { and } - 5 z ^ { 3 } - 7 z + 11$

Find the indicated product by applying the distributive property and combining similar terms. (2 x $-$ 7)(4 x $-$ 3)

Add the polynomials. $5 z ^ { 2 } + 4 z + 10 \text { and } - 10 z ^ { 2 } - 8 z + 13$