Question 1

Write the following number in standard decimal form. $( 7.05 ) \left( 10 ^ { - 2 } \right)$

Accepted Answer

The answer of Write the following number in standard decimal...

Question 2

Perform the indicated operations. $( n - 3 ) - \left( 7 n ^ { 2 } - n + 7 \right) + \left( n ^ { 2 } - 2 \right)$

Accepted Answer

A)  $- 6 n ^ { 2 } + 12$ 
B)  $- 6 n ^ { 2 } - 12$ 
C)  $6 n ^ { 2 } + 2 n - 12$ 
D)  $- 6 n ^ { 2 } + 2 n + 12$ 
E)  $- 6 n ^ { 2 } + 2 n - 12$ 
A)  $- 6 n ^ { 2 } + 12$ 
B)  $- 6 n ^ { 2 } - 12$ 
C)  $6 n ^ { 2 } + 2 n - 12$ 
D)  $- 6 n ^ { 2 } + 2 n + 12$ 
E)  $- 6 n ^ { 2 } + 2 n - 12$

Question 3

Divide the polynomial by the monomial. $\frac { 3 p d - 18 p ^ { 13 } d ^ { 14 } + 9 p ^ { 17 } d ^ { 20 } } { - 3 p d }$

Accepted Answer

The answer of Divide the polynomial by the monomial. \(\frac...

Question 4

Multiply the following. $\left( 7 x ^ { 2 } \right) ( 9 x ) \left( 8 x ^ { 3 } \right)$

Accepted Answer

A)  $509 x ^ { 5 }$ 
B)  $504 x ^ { 6 }$ 
C)  $504 x ^ { 5 }$ 
D)  $499 x ^ { 5 }$ 
E)  $507 x ^ { 6 }$ 
A)  $509 x ^ { 5 }$ 
B)  $504 x ^ { 6 }$ 
C)  $504 x ^ { 5 }$ 
D)  $499 x ^ { 5 }$ 
E)  $507 x ^ { 6 }$

Question 5

Subtract the polynomials using a vertical format. $- 7 z ^ { 3 } - 11 \text { from } - 2 z ^ { 3 } + 10$

Accepted Answer

The answer of Subtract the polynomials using a vertical format....

Question 6

A square piece of cardboard is y = 14 inches long on each side. From each corner a square piece x inches on a side is cut out as shown. The flaps are then turned up to form an open box. Find a polynomial that represents the volume of the box.

Accepted Answer

A)  $196 x - 56 x ^ { 2 } + x ^ { 3 }$ 
B)  $196 x - 56 x ^ { 2 } + 4 x ^ { 3 }$ 
C)  $196 x - 14 x ^ { 2 } + 4 x ^ { 3 }$ 
D)  $196 - 56 x + 4 x ^ { 2 }$ 
E)  $196 x - 56 x ^ { 2 } - 4 x ^ { 3 }$ 
A)  $196 x - 56 x ^ { 2 } + x ^ { 3 }$ 
B)  $196 x - 56 x ^ { 2 } + 4 x ^ { 3 }$ 
C)  $196 x - 14 x ^ { 2 } + 4 x ^ { 3 }$ 
D)  $196 - 56 x + 4 x ^ { 2 }$ 
E)  $196 x - 56 x ^ { 2 } - 4 x ^ { 3 }$

Question 7

Find the indicated product by applying the distributive property and combining similar terms. ( x + 4)( x + 7)

Accepted Answer

A)  $12 x + 28$ 
B)  $x ^ { 2 } + 11 x$ 
C)  $x ^ { 2 } + 7 x + 28$ 
D)  $x ^ { 2 } + 11 x + 28$ 
E)  none of these 
A)  $12 x + 28$ 
B)  $x ^ { 2 } + 11 x$ 
C)  $x ^ { 2 } + 7 x + 28$ 
D)  $x ^ { 2 } + 11 x + 28$ 
E)  none of these

Question 8

Perform the division. $\left( 8 n ^ { 2 } - 2 n - 3 \right) \div ( 2 n + 1 )$

Accepted Answer

The answer of Perform the division. \(\left( 8 n ^...

Question 9

Perform the division. $\left( 4 y ^ { 3 } - y ^ { 2 } - 7 y - 14 \right) \div ( y - 2 )$

Accepted Answer

A)  $7 y ^ { 2 } + 4 y - 7$ 
B)  $4 y ^ { 2 } + 7 y - 7$ 
C)  $7 y ^ { 2 } + 4 y + 7$ 
D)  $4 y ^ { 2 } - 7 y + 7$ 
E)  $4 y ^ { 2 } + 7 y + 7$ 
A)  $7 y ^ { 2 } + 4 y - 7$ 
B)  $4 y ^ { 2 } + 7 y - 7$ 
C)  $7 y ^ { 2 } + 4 y + 7$ 
D)  $4 y ^ { 2 } - 7 y + 7$ 
E)  $4 y ^ { 2 } + 7 y + 7$

Question 10

Find the indicated product by applying the distributive property and combining similar terms. $( x + 1 ) \left( x ^ { 2 } + 4 x + 1 \right)$

Accepted Answer

A)  $x ^ { 3 } + 1 x ^ { 2 } + 5 x + 1$ 
B)  $x ^ { 3 } + 5 x ^ { 2 } + 5 x + 1$ 
C)  $x ^ { 3 } + 5 x ^ { 2 } + 5 x$ 
D)  $x ^ { 3 } + 5 x ^ { 2 } + 4 x + 1$ 
E)  none of these 
A)  $x ^ { 3 } + 1 x ^ { 2 } + 5 x + 1$ 
B)  $x ^ { 3 } + 5 x ^ { 2 } + 5 x + 1$ 
C)  $x ^ { 3 } + 5 x ^ { 2 } + 5 x$ 
D)  $x ^ { 3 } + 5 x ^ { 2 } + 4 x + 1$ 
E)  none of these

Question 11

Multiply the following. $( 3 c d ) \left( - 6 c ^ { 3 } d \right) ( - 5 d )$

Accepted Answer

A)  $- 89 c ^ { 4 } d ^ { 3 }$ 
B)  $90 c ^ { 3 } d$ 
C)  $87 c ^ { 4 } d ^ { 2 }$ 
D)  $- 90 c ^ { 3 } d ^ { 3 }$ 
E)  $90 c ^ { 4 } d ^ { 3 }$ 
A)  $- 89 c ^ { 4 } d ^ { 3 }$ 
B)  $90 c ^ { 3 } d$ 
C)  $87 c ^ { 4 } d ^ { 2 }$ 
D)  $- 90 c ^ { 3 } d ^ { 3 }$ 
E)  $90 c ^ { 4 } d ^ { 3 }$

Question 12

Divide the monomials. $\frac { 7 p ^ { 14 } m ^ { 13 } } { p ^ { 3 } m ^ { 6 } }$ Enter your answer as $k p ^ { a _ { m } } b$ , where k , a , b are numbers and p , m are variables.

Accepted Answer

The answer of Divide the monomials. \(\frac { 7 p...

Question 13

To raise a fraction to a negative power, invert the fraction and raise it to that power.

Accepted Answer

A) True 
 B)False

Question 14

Perform the division of the polynomials by monomials. $\frac { - 70 p ^ { 5 } + 100 p ^ { 15 } - 90 p ^ { 13 } } { - 10 p ^ { 3 } }$

Accepted Answer

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

Question 15

Perform the division of the polynomials by monomials. $\frac { 24 z ^ { 9 } + 42 z ^ { 12 } } { 6 z ^ { 4 } }$

Accepted Answer

A)  $4 z ^ { 13 } + 7 z ^ { 8 }$ 
B)  $4 z ^ { 5 } + 7 z ^ { 8 }$ 
C)  $4 z ^ { 5 } + 168 z ^ { 8 }$ 
A)  $4 z ^ { 13 } + 7 z ^ { 8 }$ 
B)  $4 z ^ { 5 } + 7 z ^ { 8 }$ 
C)  $4 z ^ { 5 } + 168 z ^ { 8 }$

Question 16

Multiply the following. ( 8 ay )(5 ay ) Enter your answer as $k a ^ { p } y ^ { q }$ where k , p , q are numbers and a , y are variables.

Accepted Answer

The answer of Multiply the following. ( 8 ay )(5...

Question 17

Simplify the following algebraic expression and express your answer using positive exponents only. $\frac { - 30 x ^ { - 7 } } { - 6 x ^ { - 7 } }$

Accepted Answer

A)  $- 5$ 
B)  $24 x$ 
C)  $5 x$ 
D)  $24$ 
E)  $5$ 
A)  $- 5$ 
B)  $24 x$ 
C)  $5 x$ 
D)  $24$ 
E)  $5$

Question 18

Powers with like bases are divided by subtracting exponents.

Accepted Answer

A) True 
 B)False

Question 19

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

Accepted Answer

A)  $n ^ { 2 } + 6 n + 8$ 
B)  $n ^ { 2 } - 6 n$ 
C)  $n ^ { 2 } - 6 n + 8$ 
D)  $7 n + 8$ 
E)  none of these 
A)  $n ^ { 2 } + 6 n + 8$ 
B)  $n ^ { 2 } - 6 n$ 
C)  $n ^ { 2 } - 6 n + 8$ 
D)  $7 n + 8$ 
E)  none of these

Question 20

Subtract the polynomials using a vertical format. $- 4 z ^ { 4 } - 9 \text { from } - 9 z ^ { 4 } + 3$

Accepted Answer

A)  $- 5 z ^ { 4 } - 12$ 
B)  $5 z ^ { 4 } - 12$ 
C)  $- 5 z ^ { 4 } + 12$ 
D)  $5 z ^ { 4 } + 12$ 
A)  $- 5 z ^ { 4 } - 12$ 
B)  $5 z ^ { 4 } - 12$ 
C)  $- 5 z ^ { 4 } + 12$ 
D)  $5 z ^ { 4 } + 12$

Write the following number in standard decimal form. $( 7.05 ) \left( 10 ^ { - 2 } \right)$

Perform the indicated operations. $( n - 3 ) - \left( 7 n ^ { 2 } - n + 7 \right) + \left( n ^ { 2 } - 2 \right)$

Divide the polynomial by the monomial. $\frac { 3 p d - 18 p ^ { 13 } d ^ { 14 } + 9 p ^ { 17 } d ^ { 20 } } { - 3 p d }$

Multiply the following. $\left( 7 x ^ { 2 } \right) ( 9 x ) \left( 8 x ^ { 3 } \right)$

Subtract the polynomials using a vertical format. $- 7 z ^ { 3 } - 11 \text { from } - 2 z ^ { 3 } + 10$

A square piece of cardboard is y = 14 inches long on each side. From each corner a square piece x inches on a side is cut out as shown. The flaps are then turned up to form an open box. Find a polynomial that represents the volume of the box.

Find the indicated product by applying the distributive property and combining similar terms. ( x + 4)( x + 7)

Perform the division. $\left( 8 n ^ { 2 } - 2 n - 3 \right) \div ( 2 n + 1 )$

Perform the division. $\left( 4 y ^ { 3 } - y ^ { 2 } - 7 y - 14 \right) \div ( y - 2 )$

Find the indicated product by applying the distributive property and combining similar terms. $( x + 1 ) \left( x ^ { 2 } + 4 x + 1 \right)$

Multiply the following. $( 3 c d ) \left( - 6 c ^ { 3 } d \right) ( - 5 d )$

Divide the monomials. $\frac { 7 p ^ { 14 } m ^ { 13 } } { p ^ { 3 } m ^ { 6 } }$ Enter your answer as $k p ^ { a _ { m } } b$ , where k , a , b are numbers and p , m are variables.

To raise a fraction to a negative power, invert the fraction and raise it to that power.

Perform the division of the polynomials by monomials. $\frac { - 70 p ^ { 5 } + 100 p ^ { 15 } - 90 p ^ { 13 } } { - 10 p ^ { 3 } }$

Perform the division of the polynomials by monomials. $\frac { 24 z ^ { 9 } + 42 z ^ { 12 } } { 6 z ^ { 4 } }$

Multiply the following. ( 8 ay )(5 ay ) Enter your answer as $k a ^ { p } y ^ { q }$ where k , p , q are numbers and a , y are variables.

Simplify the following algebraic expression and express your answer using positive exponents only. $\frac { - 30 x ^ { - 7 } } { - 6 x ^ { - 7 } }$

Powers with like bases are divided by subtracting exponents.

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

Subtract the polynomials using a vertical format. $- 4 z ^ { 4 } - 9 \text { from } - 9 z ^ { 4 } + 3$

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

Write the following number in standard decimal form. (7.05)(10−2)( 7.05 ) \left( 10 ^ { - 2 } \right)(7.05)(10−2)

Perform the indicated operations. (n−3)−(7n2−n+7)+(n2−2)( n - 3 ) - \left( 7 n ^ { 2 } - n + 7 \right) + \left( n ^ { 2 } - 2 \right)(n−3)−(7n2−n+7)+(n2−2)

Divide the polynomial by the monomial. 3pd−18p13d14+9p17d20−3pd\frac { 3 p d - 18 p ^ { 13 } d ^ { 14 } + 9 p ^ { 17 } d ^ { 20 } } { - 3 p d }−3pd3pd−18p13d14+9p17d20​

Multiply the following. (7x2)(9x)(8x3)\left( 7 x ^ { 2 } \right) ( 9 x ) \left( 8 x ^ { 3 } \right)(7x2)(9x)(8x3)

Subtract the polynomials using a vertical format. −7z3−11 from −2z3+10- 7 z ^ { 3 } - 11 \text { from } - 2 z ^ { 3 } + 10−7z3−11 from −2z3+10

A square piece of cardboard is y = 14 inches long on each side. From each corner a square piece x inches on a side is cut out as shown. The flaps are then turned up to form an open box. Find a polynomial that represents the volume of the box.

Find the indicated product by applying the distributive property and combining similar terms. ( x + 4)( x + 7)

Perform the division. (8n2−2n−3)÷(2n+1)\left( 8 n ^ { 2 } - 2 n - 3 \right) \div ( 2 n + 1 )(8n2−2n−3)÷(2n+1)

Perform the division. (4y3−y2−7y−14)÷(y−2)\left( 4 y ^ { 3 } - y ^ { 2 } - 7 y - 14 \right) \div ( y - 2 )(4y3−y2−7y−14)÷(y−2)

Find the indicated product by applying the distributive property and combining similar terms. (x+1)(x2+4x+1)( x + 1 ) \left( x ^ { 2 } + 4 x + 1 \right)(x+1)(x2+4x+1)

Multiply the following. (3cd)(−6c3d)(−5d)( 3 c d ) \left( - 6 c ^ { 3 } d \right) ( - 5 d )(3cd)(−6c3d)(−5d)

Divide the monomials. 7p14m13p3m6\frac { 7 p ^ { 14 } m ^ { 13 } } { p ^ { 3 } m ^ { 6 } }p3m67p14m13​ Enter your answer as kpambk p ^ { a _ { m } } bkpam​b , where k , a , b are numbers and p , m are variables.

To raise a fraction to a negative power, invert the fraction and raise it to that power.

Perform the division of the polynomials by monomials. −70p5+100p15−90p13−10p3\frac { - 70 p ^ { 5 } + 100 p ^ { 15 } - 90 p ^ { 13 } } { - 10 p ^ { 3 } }−10p3−70p5+100p15−90p13​

Perform the division of the polynomials by monomials. 24z9+42z126z4\frac { 24 z ^ { 9 } + 42 z ^ { 12 } } { 6 z ^ { 4 } }6z424z9+42z12​

Multiply the following. ( 8 ay )(5 ay ) Enter your answer as kapyqk a ^ { p } y ^ { q }kapyq where k , p , q are numbers and a , y are variables.

Simplify the following algebraic expression and express your answer using positive exponents only. −30x−7−6x−7\frac { - 30 x ^ { - 7 } } { - 6 x ^ { - 7 } }−6x−7−30x−7​

Powers with like bases are divided by subtracting exponents.

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

Subtract the polynomials using a vertical format. −4z4−9 from −9z4+3- 4 z ^ { 4 } - 9 \text { from } - 9 z ^ { 4 } + 3−4z4−9 from −9z4+3

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

Write the following number in standard decimal form. $( 7.05 ) \left( 10 ^ { - 2 } \right)$

Perform the indicated operations. $( n - 3 ) - \left( 7 n ^ { 2 } - n + 7 \right) + \left( n ^ { 2 } - 2 \right)$

Divide the polynomial by the monomial. $\frac { 3 p d - 18 p ^ { 13 } d ^ { 14 } + 9 p ^ { 17 } d ^ { 20 } } { - 3 p d }$

Multiply the following. $\left( 7 x ^ { 2 } \right) ( 9 x ) \left( 8 x ^ { 3 } \right)$

Subtract the polynomials using a vertical format. $- 7 z ^ { 3 } - 11 \text { from } - 2 z ^ { 3 } + 10$

Perform the division. $\left( 8 n ^ { 2 } - 2 n - 3 \right) \div ( 2 n + 1 )$

Perform the division. $\left( 4 y ^ { 3 } - y ^ { 2 } - 7 y - 14 \right) \div ( y - 2 )$

Find the indicated product by applying the distributive property and combining similar terms. $( x + 1 ) \left( x ^ { 2 } + 4 x + 1 \right)$

Multiply the following. $( 3 c d ) \left( - 6 c ^ { 3 } d \right) ( - 5 d )$

Divide the monomials. $\frac { 7 p ^ { 14 } m ^ { 13 } } { p ^ { 3 } m ^ { 6 } }$ Enter your answer as $k p ^ { a _ { m } } b$ , where k , a , b are numbers and p , m are variables.

Perform the division of the polynomials by monomials. $\frac { - 70 p ^ { 5 } + 100 p ^ { 15 } - 90 p ^ { 13 } } { - 10 p ^ { 3 } }$

Perform the division of the polynomials by monomials. $\frac { 24 z ^ { 9 } + 42 z ^ { 12 } } { 6 z ^ { 4 } }$

Multiply the following. ( 8 ay )(5 ay ) Enter your answer as $k a ^ { p } y ^ { q }$ where k , p , q are numbers and a , y are variables.

Simplify the following algebraic expression and express your answer using positive exponents only. $\frac { - 30 x ^ { - 7 } } { - 6 x ^ { - 7 } }$

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

Subtract the polynomials using a vertical format. $- 4 z ^ { 4 } - 9 \text { from } - 9 z ^ { 4 } + 3$