Question 1

Divide. $\frac { 14 y ^ { 5 } - 12 y ^ { 3 } - 10 y } { 2 y ^ { 2 } }$

Accepted Answer

A)  $7 y ^ { 2 } - 6 y - \frac { 6 } { y }$ 
B)  $7 y ^ { 3 } - 6 y ^ { 2 } - 5 y$ 
C)  $7 y ^ { 3 } - \frac { 6 } { y } - 5 y$ 
D)  $7 y ^ { 2 } - 6 y - 5$ 
E)  $7 y ^ { 3 } - 6 y - \frac { 5 } { y }$ 
A)  $7 y ^ { 2 } - 6 y - \frac { 6 } { y }$ 
B)  $7 y ^ { 3 } - 6 y ^ { 2 } - 5 y$ 
C)  $7 y ^ { 3 } - \frac { 6 } { y } - 5 y$ 
D)  $7 y ^ { 2 } - 6 y - 5$ 
E)  $7 y ^ { 3 } - 6 y - \frac { 5 } { y }$

Question 2

Simplify by first removing the parentheses and then combining the like terms. $8 x - ( 7 - 5 x )$

Accepted Answer

The answer of Simplify by first removing the parentheses and...

Question 3

Remove the parentheses from the expression. $x - ( - y + z + 3 )$

Accepted Answer

The answer of Remove the parentheses from the expression. \(x...

Question 4

Find the product. $\left( 12 y ^ { 2 } \right) \left( \frac { 1 } { 3 } y ^ { 2 } \right)$

Accepted Answer

The answer of Find the product. \(\left( 12 y ^...

Question 5

Use the rule for exponents to simplify. $\left( - q ^ { 3 } \right) ^ { 3 }$

Accepted Answer

The answer of Use the rule for exponents to simplify....

Question 6

Divide. $\frac { a ^ { 10 } - a ^ { 9 } - a ^ { 8 } } { a ^ { 4 } }$

Accepted Answer

A)  $a ^ { 6 } - a ^ { 3 } + a ^ { 4 }$ 
B)  $a ^ { 6 } - a ^ { 5 } - a ^ { 4 }$ 
C)  $a ^ { 14 } - a ^ { 13 } - a ^ { 12 }$ 
D)  $a ^ { 5 } + a ^ { 3 } - a ^ { 4 }$ 
E)  $a ^ { 5 } - a ^ { 5 } - a ^ { 7 }$ 
A)  $a ^ { 6 } - a ^ { 3 } + a ^ { 4 }$ 
B)  $a ^ { 6 } - a ^ { 5 } - a ^ { 4 }$ 
C)  $a ^ { 14 } - a ^ { 13 } - a ^ { 12 }$ 
D)  $a ^ { 5 } + a ^ { 3 } - a ^ { 4 }$ 
E)  $a ^ { 5 } - a ^ { 5 } - a ^ { 7 }$

Question 7

Evaluate the expression when y = -1. $- y ^ { 2 }$

Accepted Answer

The answer of Evaluate the expression when y = -1....

Question 8

Find the product. $( 4 x ) \left( 6 x ^ { 5 } q \right)$

Accepted Answer

A)  $24 x ^ { 6 } q ^ { 2 }$ 
B)  $24 x ^ { 5 } q$ 
C)  $24 ( x q ) ^ { 6 }$ 
D)  $24 x ^ { 6 } q$ 
E)  $24 x ^ { 5 } q ^ { 2 }$ 
A)  $24 x ^ { 6 } q ^ { 2 }$ 
B)  $24 x ^ { 5 } q$ 
C)  $24 ( x q ) ^ { 6 }$ 
D)  $24 x ^ { 6 } q$ 
E)  $24 x ^ { 5 } q ^ { 2 }$

Question 9

Simplify by first removing the parentheses and then combining the like terms. $0.85 ( x + 3 ) - 0.25 ( 2 x + 27 )$

Accepted Answer

A)  0.35x - 4.2 
B)  9.45x - 4.2 
C)  0.35x - 9.3 
D)  0.35x + 9.3 
E)  4.2x - 0.35 
A)  0.35x - 4.2 
B)  9.45x - 4.2 
C)  0.35x - 9.3 
D)  0.35x + 9.3 
E)  4.2x - 0.35

Question 10

Divide. $\frac { c ^ { 2 } d } { c d ^ { 2 } }$

Accepted Answer

The answer of Divide. \(\frac { c ^ { 2...

Question 11

Combine the like terms. $5 x ^ { 2 } + 16 x + 7 x ^ { 2 } - 4 x$

Accepted Answer

The answer of Combine the like terms. \(5 x ^...

Question 12

Add.
( $5$ x - $9$ y - z ) + ( $6$ x - $6$ y - $4$ z ) + ( $- 6$ x - $2$ y - $2$ z )

Accepted Answer

The answer of Add.
( $5$ x - $9$ y -...

Question 13

Evaluate the expression when m= - 4 and z= - 3. $( 6 m ) \left( m z ^ { 2 } \right)$

Accepted Answer

A)  878 
B)  808 
C)  920 
D)  864 
E)  871 
A)  878 
B)  808 
C)  920 
D)  864 
E)  871

Question 14

Find the product. $- 6 x \left( 4 x ^ { 2 } - 7 x - 9 \right)$

Accepted Answer

A)  $- 54 x ^ { 3 } - 42 x ^ { 2 } - 24 x$ 
B)  $- 24 x ^ { 3 } + 42 x ^ { 2 } + 54 x$ 
C)  $- 42 x ^ { 2 } - 24 x ^ { 2 } + 54 x$ 
D)  $- 24 x ^ { 3 } + 42 x + 54$ 
E)  $- 24 x ^ { 3 } + 42 x ^ { 2 } - 54 x$ 
A)  $- 54 x ^ { 3 } - 42 x ^ { 2 } - 24 x$ 
B)  $- 24 x ^ { 3 } + 42 x ^ { 2 } + 54 x$ 
C)  $- 42 x ^ { 2 } - 24 x ^ { 2 } + 54 x$ 
D)  $- 24 x ^ { 3 } + 42 x + 54$ 
E)  $- 24 x ^ { 3 } + 42 x ^ { 2 } - 54 x$

Question 15

Rearrange the polynomial in decreasing order; state the degree of the polynomial. $- 4 x ^ { 2 } + 8 x ^ { 3 } - 5$

Accepted Answer

A)  1st 
B)  -5 - 8x 2 + 4x 3 
C)  -8x 2 - 5 + 4x 3 
D)  8x 3 - 4x 2 - 5 
E)  2nd
F) 3rd 
A)  1st 
B)  -5 - 8x 2 + 4x 3 
C)  -8x 2 - 5 + 4x 3 
D)  8x 3 - 4x 2 - 5 
E)  2nd
F) 3rd

Question 16

Let m = 3 and y = 4 and r = 3, and evaluate the expression. $\left( 2 m y ^ { 2 } r \right) ^ { 2 }$

Accepted Answer

A)  82,989 
B)  82,944 
C)  82,946 
D)  82,967 
A)  82,989 
B)  82,944 
C)  82,946 
D)  82,967

Question 17

Let $m$ = $4$ and $y$ = $4$ and evaluate the expression. $43 m ^ { 2 } - 43 y ^ { 2 }$

Accepted Answer

The answer of Let $m$ = $4$ and $y$ =...

Question 18

Find the product. $4 x ^ { 2 } y \left( 7 x ^ { 2 } - 4 x y + 6 y ^ { 2 } \right)$

Accepted Answer

A)  $28 x ^ { 4 } y - 16 x ^ { 3 } y ^ { 2 } + 24 x y ^ { 3 }$ 
B)  $16 x ^ { 5 } y - 24 x ^ { 2 } y ^ { 2 } + 28 x ^ { 2 } y ^ { 3 }$ 
C)  $28 x ^ { 3 } y - 16 x ^ { 4 } y ^ { 2 } + 24 x ^ { 2 } y ^ { 3 }$ 
D)  $24 x ^ { 4 } y - 28 x ^ { 5 } y ^ { 2 } + 16 x ^ { 2 } y ^ { 3 }$ 
E)  $28 x ^ { 4 } y - 16 x ^ { 3 } y ^ { 2 } + 24 x ^ { 2 } y ^ { 3 }$ 
A)  $28 x ^ { 4 } y - 16 x ^ { 3 } y ^ { 2 } + 24 x y ^ { 3 }$ 
B)  $16 x ^ { 5 } y - 24 x ^ { 2 } y ^ { 2 } + 28 x ^ { 2 } y ^ { 3 }$ 
C)  $28 x ^ { 3 } y - 16 x ^ { 4 } y ^ { 2 } + 24 x ^ { 2 } y ^ { 3 }$ 
D)  $24 x ^ { 4 } y - 28 x ^ { 5 } y ^ { 2 } + 16 x ^ { 2 } y ^ { 3 }$ 
E)  $28 x ^ { 4 } y - 16 x ^ { 3 } y ^ { 2 } + 24 x ^ { 2 } y ^ { 3 }$

Question 19

Let $n$ = $2$ and $p$ = $6$ and evaluate the expression. $28 n - 37 p$

Accepted Answer

The answer of Let $n$ = $2$ and $p$ =...

Question 20

Find the product. $( x - 4 ) ( x - 7 )$

Accepted Answer

The answer of Find the product. \(( x - 4...

Divide. $\frac { 14 y ^ { 5 } - 12 y ^ { 3 } - 10 y } { 2 y ^ { 2 } }$

Simplify by first removing the parentheses and then combining the like terms. $8 x - ( 7 - 5 x )$

Remove the parentheses from the expression. $x - ( - y + z + 3 )$

Find the product. $\left( 12 y ^ { 2 } \right) \left( \frac { 1 } { 3 } y ^ { 2 } \right)$

Use the rule for exponents to simplify. $\left( - q ^ { 3 } \right) ^ { 3 }$

Divide. $\frac { a ^ { 10 } - a ^ { 9 } - a ^ { 8 } } { a ^ { 4 } }$

Evaluate the expression when y = -1. $- y ^ { 2 }$

Find the product. $( 4 x ) \left( 6 x ^ { 5 } q \right)$

Simplify by first removing the parentheses and then combining the like terms. $0.85 ( x + 3 ) - 0.25 ( 2 x + 27 )$

Divide. $\frac { c ^ { 2 } d } { c d ^ { 2 } }$

Combine the like terms. $5 x ^ { 2 } + 16 x + 7 x ^ { 2 } - 4 x$

Add. ( $5$ x - $9$ y - z ) + ( $6$ x - $6$ y - $4$ z ) + ( $- 6$ x - $2$ y - $2$ z )

Evaluate the expression when m= - 4 and z= - 3. $( 6 m ) \left( m z ^ { 2 } \right)$

Find the product. $- 6 x \left( 4 x ^ { 2 } - 7 x - 9 \right)$

Rearrange the polynomial in decreasing order; state the degree of the polynomial. $- 4 x ^ { 2 } + 8 x ^ { 3 } - 5$

Let m = 3 and y = 4 and r = 3, and evaluate the expression. $\left( 2 m y ^ { 2 } r \right) ^ { 2 }$

Let $m$ = $4$ and $y$ = $4$ and evaluate the expression. $43 m ^ { 2 } - 43 y ^ { 2 }$

Find the product. $4 x ^ { 2 } y \left( 7 x ^ { 2 } - 4 x y + 6 y ^ { 2 } \right)$

Let $n$ = $2$ and $p$ = $6$ and evaluate the expression. $28 n - 37 p$

Find the product. $( x - 4 ) ( x - 7 )$

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Exam 5: Polynomials: an Introduction to Algebra

Divide. 14y5−12y3−10y2y2\frac { 14 y ^ { 5 } - 12 y ^ { 3 } - 10 y } { 2 y ^ { 2 } }2y214y5−12y3−10y​

Simplify by first removing the parentheses and then combining the like terms. 8x−(7−5x)8 x - ( 7 - 5 x )8x−(7−5x)

Remove the parentheses from the expression. x−(−y+z+3)x - ( - y + z + 3 )x−(−y+z+3)

Find the product. (12y2)(13y2)\left( 12 y ^ { 2 } \right) \left( \frac { 1 } { 3 } y ^ { 2 } \right)(12y2)(31​y2)

Use the rule for exponents to simplify. (−q3)3\left( - q ^ { 3 } \right) ^ { 3 }(−q3)3

Divide. a10−a9−a8a4\frac { a ^ { 10 } - a ^ { 9 } - a ^ { 8 } } { a ^ { 4 } }a4a10−a9−a8​

Evaluate the expression when y = -1. −y2- y ^ { 2 }−y2

Find the product. (4x)(6x5q)( 4 x ) \left( 6 x ^ { 5 } q \right)(4x)(6x5q)

Simplify by first removing the parentheses and then combining the like terms. 0.85(x+3)−0.25(2x+27)0.85 ( x + 3 ) - 0.25 ( 2 x + 27 )0.85(x+3)−0.25(2x+27)

Divide. c2dcd2\frac { c ^ { 2 } d } { c d ^ { 2 } }cd2c2d​

Combine the like terms. 5x2+16x+7x2−4x5 x ^ { 2 } + 16 x + 7 x ^ { 2 } - 4 x5x2+16x+7x2−4x

Add. ( 555 x - 999 y - z ) + ( 666 x - 666 y - 444 z ) + ( −6- 6−6 x - 222 y - 222 z )

Evaluate the expression when m= - 4 and z= - 3. (6m)(mz2)( 6 m ) \left( m z ^ { 2 } \right)(6m)(mz2)

Find the product. −6x(4x2−7x−9)- 6 x \left( 4 x ^ { 2 } - 7 x - 9 \right)−6x(4x2−7x−9)

Rearrange the polynomial in decreasing order; state the degree of the polynomial. −4x2+8x3−5- 4 x ^ { 2 } + 8 x ^ { 3 } - 5−4x2+8x3−5

Let m = 3 and y = 4 and r = 3, and evaluate the expression. (2my2r)2\left( 2 m y ^ { 2 } r \right) ^ { 2 }(2my2r)2

Let mmm = 444 and yyy = 444 and evaluate the expression. 43m2−43y243 m ^ { 2 } - 43 y ^ { 2 }43m2−43y2

Find the product. 4x2y(7x2−4xy+6y2)4 x ^ { 2 } y \left( 7 x ^ { 2 } - 4 x y + 6 y ^ { 2 } \right)4x2y(7x2−4xy+6y2)

Let nnn = 222 and ppp = 666 and evaluate the expression. 28n−37p28 n - 37 p28n−37p

Find the product. (x−4)(x−7)( x - 4 ) ( x - 7 )(x−4)(x−7)

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Divide. $\frac { 14 y ^ { 5 } - 12 y ^ { 3 } - 10 y } { 2 y ^ { 2 } }$

Simplify by first removing the parentheses and then combining the like terms. $8 x - ( 7 - 5 x )$

Remove the parentheses from the expression. $x - ( - y + z + 3 )$

Find the product. $\left( 12 y ^ { 2 } \right) \left( \frac { 1 } { 3 } y ^ { 2 } \right)$

Use the rule for exponents to simplify. $\left( - q ^ { 3 } \right) ^ { 3 }$

Divide. $\frac { a ^ { 10 } - a ^ { 9 } - a ^ { 8 } } { a ^ { 4 } }$

Evaluate the expression when y = -1. $- y ^ { 2 }$

Find the product. $( 4 x ) \left( 6 x ^ { 5 } q \right)$

Simplify by first removing the parentheses and then combining the like terms. $0.85 ( x + 3 ) - 0.25 ( 2 x + 27 )$

Divide. $\frac { c ^ { 2 } d } { c d ^ { 2 } }$

Combine the like terms. $5 x ^ { 2 } + 16 x + 7 x ^ { 2 } - 4 x$

Add. ( $5$ x - $9$ y - z ) + ( $6$ x - $6$ y - $4$ z ) + ( $- 6$ x - $2$ y - $2$ z )

Evaluate the expression when m= - 4 and z= - 3. $( 6 m ) \left( m z ^ { 2 } \right)$

Find the product. $- 6 x \left( 4 x ^ { 2 } - 7 x - 9 \right)$

Rearrange the polynomial in decreasing order; state the degree of the polynomial. $- 4 x ^ { 2 } + 8 x ^ { 3 } - 5$

Let m = 3 and y = 4 and r = 3, and evaluate the expression. $\left( 2 m y ^ { 2 } r \right) ^ { 2 }$

Let $m$ = $4$ and $y$ = $4$ and evaluate the expression. $43 m ^ { 2 } - 43 y ^ { 2 }$

Find the product. $4 x ^ { 2 } y \left( 7 x ^ { 2 } - 4 x y + 6 y ^ { 2 } \right)$

Let $n$ = $2$ and $p$ = $6$ and evaluate the expression. $28 n - 37 p$

Find the product. $( x - 4 ) ( x - 7 )$