Question 1

Evaluate the expression. $36 \div ( - 9 ) ( 4 ) ^ { 2 } + 5 ( - 4 - 2 ) ^ { 2 } - ( - 4 ) ^ { 3 }$

Accepted Answer

A)  -30 
B)  -52 
C)  180 
D)  52 
E)  34 
A)  -30 
B)  -52 
C)  180 
D)  52 
E)  34

Question 2

Find the product. $( x + 3 ) ( x + 6 )$

Accepted Answer

The answer of Find the product. \(( x + 3...

Question 3

Add.
( $6 y$   $- 5 x$ + $2 z$ ) + ( $4 z$   $- 9 y$ + $5 x$ ) + ( $14 y$ + $5 z$   $- 4 x$ )

Accepted Answer

The answer of Add.
( $6 y$   $- 5 x$...

Question 4

Divide the monomials. $\frac { 24 x ^ { 5 } } { 6 x ^ { 3 } }$

Accepted Answer

The answer of Divide the monomials. \(\frac { 24 x...

Question 5

Find the quotient and check. $\frac { 3 z ^ { 3 } + 21 z ^ { 2 } - 108 } { z + 6 }$

Accepted Answer

A)  $3 z ^ { 2 } + 3 z - 18$ 
B)  $3 z ^ { 2 } - 7 z - 22$ 
C)  $3 z ^ { 2 } - 3 z - 18$ 
D)  $3 z ^ { 2 } + 10 z - 25$ 
E)  $3 z ^ { 2 } + 4 z - 19$ 
A)  $3 z ^ { 2 } + 3 z - 18$ 
B)  $3 z ^ { 2 } - 7 z - 22$ 
C)  $3 z ^ { 2 } - 3 z - 18$ 
D)  $3 z ^ { 2 } + 10 z - 25$ 
E)  $3 z ^ { 2 } + 4 z - 19$

Question 6

Find the product. $( 5 x ) \left( 9 x ^ { 5 } \right)$

Accepted Answer

The answer of Find the product. \(( 5 x )...

Question 7

Find the product. $\left( - 2 m ^ { 4 } q ^ { 3 } y ^ { 4 } \right) \left( 3 m ^ { 2 } y ^ { 3 } \right)$

Accepted Answer

A)  $- 6 m ^ { 8 } q ^ { 3 } y ^ { 12 }$ 
B)  $- 6 m ^ { 6 } q ^ { 3 } y ^ { 7 }$ 
C)  $- 6 m ^ { 6 } q ^ { 8 } y ^ { 8 }$ 
D)  $- 6 m ^ { 7 } q ^ { 2 } y ^ { 7 }$ 
E)  $- 6 m ^ { 6 } q ^ { 24 } y ^ { 8 }$ 
A)  $- 6 m ^ { 8 } q ^ { 3 } y ^ { 12 }$ 
B)  $- 6 m ^ { 6 } q ^ { 3 } y ^ { 7 }$ 
C)  $- 6 m ^ { 6 } q ^ { 8 } y ^ { 8 }$ 
D)  $- 6 m ^ { 7 } q ^ { 2 } y ^ { 7 }$ 
E)  $- 6 m ^ { 6 } q ^ { 24 } y ^ { 8 }$

Question 8

Remove the parentheses from the expression and simplify. $( 4 x + 6 y - 9 ) - ( - 2 z + 5 w + 3 )$

Accepted Answer

The answer of Remove the parentheses from the expression and...

Question 9

Find the product. $( 11 z ) \left( - 5 z ^ { 3 } \right) \left( - 5 z ^ { 3 } \right)$

Accepted Answer

A)  $- 110 z ^ { 9 } x ^ { 4 }$ 
B)  $- 115 z ^ { 6 } x ^ { 4 }$ 
C)  $- 110 z ^ { 7 } x ^ { 4 }$ 
D)  $- 116 z ^ { 5 } x ^ { 3 }$ 
E)  $- 118 z ^ { 7 } x ^ { 4 }$ 
A)  $- 110 z ^ { 9 } x ^ { 4 }$ 
B)  $- 115 z ^ { 6 } x ^ { 4 }$ 
C)  $- 110 z ^ { 7 } x ^ { 4 }$ 
D)  $- 116 z ^ { 5 } x ^ { 3 }$ 
E)  $- 118 z ^ { 7 } x ^ { 4 }$

Question 10

Use the rule for exponents to simplify the following expression. $\left( y ^ { 4 } \right) ^ { 3 }$

Accepted Answer

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

Question 11

Find the product. $- 4 x ^ { 3 } \left( 1 - 6 x ^ { 2 } + 6 x ^ { 4 } \right)$

Accepted Answer

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

Question 12

Add. $( 4 x - 6 y - z ) + ( 7 x - 4 y - 2 z ) + ( - 5 x - 9 y - 4 z )$

Accepted Answer

A)  6x + 21y - 9z 
B)  16x - 21y + 7z 
C)  6x - 19y - 7z 
D)  6x - 19y - 6z 
E)  16x + 19y - 7z 
A)  6x + 21y - 9z 
B)  16x - 21y + 7z 
C)  6x - 19y - 7z 
D)  6x - 19y - 6z 
E)  16x + 19y - 7z

Question 13

Find the product. $( 2 m ) \left( 6 m ^ { 4 } \right)$

Accepted Answer

A)  $14 m ^ { 5 }$ 
B)  $15 m ^ { 5 }$ 
C)  $8 m ^ { 5 }$ 
D)  $12 m ^ { 4 }$ 
E)  $12 m ^ { 5 }$ 
A)  $14 m ^ { 5 }$ 
B)  $15 m ^ { 5 }$ 
C)  $8 m ^ { 5 }$ 
D)  $12 m ^ { 4 }$ 
E)  $12 m ^ { 5 }$

Question 14

Combine the like terms. $8 x ^ { 2 } y - 6 x y - y ^ { 2 } - 2 x ^ { 2 } - 6 x ^ { 2 } y + 6 y ^ { 2 }$

Accepted Answer

A)  8x 2 y - 6xy + 2y - 2x 2 
B)  -2x 2 y - 6xy + 5y 2 - 2x 2 
C)  2x 2 y - 6xy + 5y 2 - 2x 2 
D)  8x 2 y - 6xy + 6y 2 - 2x 2 
E)  2x 2 y - 6xy + 3y 2 - 2x 2 
A)  8x 2 y - 6xy + 2y - 2x 2 
B)  -2x 2 y - 6xy + 5y 2 - 2x 2 
C)  2x 2 y - 6xy + 5y 2 - 2x 2 
D)  8x 2 y - 6xy + 6y 2 - 2x 2 
E)  2x 2 y - 6xy + 3y 2 - 2x 2

Question 15

Find the quotient and check. $\frac { 3 y ^ { 3 } - 32 y - 15 } { y + 3 }$

Accepted Answer

A)  $4 y ^ { 2 } - 12 y - 7$ 
B)  $3 y ^ { 2 } - 9 y - 5$ 
C)  $3 y ^ { 2 } + 14 y - 9$ 
D)  $3 y ^ { 2 } + 9 y + 5$ 
E)  $4 y ^ { 2 } + 16 y - 11$ 
A)  $4 y ^ { 2 } - 12 y - 7$ 
B)  $3 y ^ { 2 } - 9 y - 5$ 
C)  $3 y ^ { 2 } + 14 y - 9$ 
D)  $3 y ^ { 2 } + 9 y + 5$ 
E)  $4 y ^ { 2 } + 16 y - 11$

Question 16

Divide. $\left( - 296 x ^ { 2 } z ^ { 3 } \right) \div \left( 370 x ^ { 5 } y ^ { 2 } z \right)$

Accepted Answer

The answer of Divide. \(\left( - 296 x ^ {...

Question 17

Remove the parentheses from the expression. $( 2 x + 4 ) + ( 3 y - 4 r )$

Accepted Answer

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

Question 18

Let $m$ = $4$ and $q$ = $17$ , and evaluate the expression. $\frac { ( q - m ) ^ { 2 } - 5 q } { 2 m ^ { 2 } }$

Accepted Answer

A)  $2 \frac { 5 } { 8 }$ 
B)  $2 \frac { 1 } { 4 }$ 
C)  $7 \frac { 15 } { 16 }$ 
D)  $2 \frac { 25 } { 32 }$ 
E)  $2 \frac { 13 } { 16 }$ 
A)  $2 \frac { 5 } { 8 }$ 
B)  $2 \frac { 1 } { 4 }$ 
C)  $7 \frac { 15 } { 16 }$ 
D)  $2 \frac { 25 } { 32 }$ 
E)  $2 \frac { 13 } { 16 }$

Question 19

Combine the like terms. $2.7 x + 6.4 x - 19.1 x + 7.4 x$

Accepted Answer

The answer of Combine the like terms. \(2.7 x +...

Question 20

Let $X$ = $- 3$ , $q$ = $3$ and evaluate the expression. $( 4 x - 2 q ) ( 4 q + 2 x )$

Accepted Answer

A)  -36 
B)  -12 
C)  -216 
D)  -324 
E)  -108 
A)  -36 
B)  -12 
C)  -216 
D)  -324 
E)  -108

Evaluate the expression. $36 \div ( - 9 ) ( 4 ) ^ { 2 } + 5 ( - 4 - 2 ) ^ { 2 } - ( - 4 ) ^ { 3 }$

Find the product. $( x + 3 ) ( x + 6 )$

Add. ( $6 y$ $- 5 x$ + $2 z$ ) + ( $4 z$ $- 9 y$ + $5 x$ ) + ( $14 y$ + $5 z$ $- 4 x$ )

Divide the monomials. $\frac { 24 x ^ { 5 } } { 6 x ^ { 3 } }$

Find the quotient and check. $\frac { 3 z ^ { 3 } + 21 z ^ { 2 } - 108 } { z + 6 }$

Find the product. $( 5 x ) \left( 9 x ^ { 5 } \right)$

Find the product. $\left( - 2 m ^ { 4 } q ^ { 3 } y ^ { 4 } \right) \left( 3 m ^ { 2 } y ^ { 3 } \right)$

Remove the parentheses from the expression and simplify. $( 4 x + 6 y - 9 ) - ( - 2 z + 5 w + 3 )$

Find the product. $( 11 z ) \left( - 5 z ^ { 3 } \right) \left( - 5 z ^ { 3 } \right)$

Use the rule for exponents to simplify the following expression. $\left( y ^ { 4 } \right) ^ { 3 }$

Find the product. $- 4 x ^ { 3 } \left( 1 - 6 x ^ { 2 } + 6 x ^ { 4 } \right)$

Add. $( 4 x - 6 y - z ) + ( 7 x - 4 y - 2 z ) + ( - 5 x - 9 y - 4 z )$

Find the product. $( 2 m ) \left( 6 m ^ { 4 } \right)$

Combine the like terms. $8 x ^ { 2 } y - 6 x y - y ^ { 2 } - 2 x ^ { 2 } - 6 x ^ { 2 } y + 6 y ^ { 2 }$

Find the quotient and check. $\frac { 3 y ^ { 3 } - 32 y - 15 } { y + 3 }$

Divide. $\left( - 296 x ^ { 2 } z ^ { 3 } \right) \div \left( 370 x ^ { 5 } y ^ { 2 } z \right)$

Remove the parentheses from the expression. $( 2 x + 4 ) + ( 3 y - 4 r )$

Let $m$ = $4$ and $q$ = $17$ , and evaluate the expression. $\frac { ( q - m ) ^ { 2 } - 5 q } { 2 m ^ { 2 } }$

Combine the like terms. $2.7 x + 6.4 x - 19.1 x + 7.4 x$

Let $X$ = $- 3$ , $q$ = $3$ and evaluate the expression. $( 4 x - 2 q ) ( 4 q + 2 x )$

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

Evaluate the expression. 36÷(−9)(4)2+5(−4−2)2−(−4)336 \div ( - 9 ) ( 4 ) ^ { 2 } + 5 ( - 4 - 2 ) ^ { 2 } - ( - 4 ) ^ { 3 }36÷(−9)(4)2+5(−4−2)2−(−4)3

Find the product. (x+3)(x+6)( x + 3 ) ( x + 6 )(x+3)(x+6)

Add. ( 6y6 y6y −5x- 5 x−5x + 2z2 z2z ) + ( 4z4 z4z −9y- 9 y−9y + 5x5 x5x ) + ( 14y14 y14y + 5z5 z5z −4x- 4 x−4x )

Divide the monomials. 24x56x3\frac { 24 x ^ { 5 } } { 6 x ^ { 3 } }6x324x5​

Find the quotient and check. 3z3+21z2−108z+6\frac { 3 z ^ { 3 } + 21 z ^ { 2 } - 108 } { z + 6 }z+63z3+21z2−108​

Find the product. (5x)(9x5)( 5 x ) \left( 9 x ^ { 5 } \right)(5x)(9x5)

Find the product. (−2m4q3y4)(3m2y3)\left( - 2 m ^ { 4 } q ^ { 3 } y ^ { 4 } \right) \left( 3 m ^ { 2 } y ^ { 3 } \right)(−2m4q3y4)(3m2y3)

Remove the parentheses from the expression and simplify. (4x+6y−9)−(−2z+5w+3)( 4 x + 6 y - 9 ) - ( - 2 z + 5 w + 3 )(4x+6y−9)−(−2z+5w+3)

Find the product. (11z)(−5z3)(−5z3)( 11 z ) \left( - 5 z ^ { 3 } \right) \left( - 5 z ^ { 3 } \right)(11z)(−5z3)(−5z3)

Use the rule for exponents to simplify the following expression. (y4)3\left( y ^ { 4 } \right) ^ { 3 }(y4)3

Find the product. −4x3(1−6x2+6x4)- 4 x ^ { 3 } \left( 1 - 6 x ^ { 2 } + 6 x ^ { 4 } \right)−4x3(1−6x2+6x4)

Add. (4x−6y−z)+(7x−4y−2z)+(−5x−9y−4z)( 4 x - 6 y - z ) + ( 7 x - 4 y - 2 z ) + ( - 5 x - 9 y - 4 z )(4x−6y−z)+(7x−4y−2z)+(−5x−9y−4z)

Find the product. (2m)(6m4)( 2 m ) \left( 6 m ^ { 4 } \right)(2m)(6m4)

Combine the like terms. 8x2y−6xy−y2−2x2−6x2y+6y28 x ^ { 2 } y - 6 x y - y ^ { 2 } - 2 x ^ { 2 } - 6 x ^ { 2 } y + 6 y ^ { 2 }8x2y−6xy−y2−2x2−6x2y+6y2

Find the quotient and check. 3y3−32y−15y+3\frac { 3 y ^ { 3 } - 32 y - 15 } { y + 3 }y+33y3−32y−15​

Divide. (−296x2z3)÷(370x5y2z)\left( - 296 x ^ { 2 } z ^ { 3 } \right) \div \left( 370 x ^ { 5 } y ^ { 2 } z \right)(−296x2z3)÷(370x5y2z)

Remove the parentheses from the expression. (2x+4)+(3y−4r)( 2 x + 4 ) + ( 3 y - 4 r )(2x+4)+(3y−4r)

Let mmm = 444 and qqq = 171717 , and evaluate the expression. (q−m)2−5q2m2\frac { ( q - m ) ^ { 2 } - 5 q } { 2 m ^ { 2 } }2m2(q−m)2−5q​

Combine the like terms. 2.7x+6.4x−19.1x+7.4x2.7 x + 6.4 x - 19.1 x + 7.4 x2.7x+6.4x−19.1x+7.4x

Let XXX = −3- 3−3 , qqq = 333 and evaluate the expression. (4x−2q)(4q+2x)( 4 x - 2 q ) ( 4 q + 2 x )(4x−2q)(4q+2x)

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

Evaluate the expression. $36 \div ( - 9 ) ( 4 ) ^ { 2 } + 5 ( - 4 - 2 ) ^ { 2 } - ( - 4 ) ^ { 3 }$

Find the product. $( x + 3 ) ( x + 6 )$

Add. ( $6 y$ $- 5 x$ + $2 z$ ) + ( $4 z$ $- 9 y$ + $5 x$ ) + ( $14 y$ + $5 z$ $- 4 x$ )

Divide the monomials. $\frac { 24 x ^ { 5 } } { 6 x ^ { 3 } }$

Find the quotient and check. $\frac { 3 z ^ { 3 } + 21 z ^ { 2 } - 108 } { z + 6 }$

Find the product. $( 5 x ) \left( 9 x ^ { 5 } \right)$

Find the product. $\left( - 2 m ^ { 4 } q ^ { 3 } y ^ { 4 } \right) \left( 3 m ^ { 2 } y ^ { 3 } \right)$

Remove the parentheses from the expression and simplify. $( 4 x + 6 y - 9 ) - ( - 2 z + 5 w + 3 )$

Find the product. $( 11 z ) \left( - 5 z ^ { 3 } \right) \left( - 5 z ^ { 3 } \right)$

Use the rule for exponents to simplify the following expression. $\left( y ^ { 4 } \right) ^ { 3 }$

Find the product. $- 4 x ^ { 3 } \left( 1 - 6 x ^ { 2 } + 6 x ^ { 4 } \right)$

Add. $( 4 x - 6 y - z ) + ( 7 x - 4 y - 2 z ) + ( - 5 x - 9 y - 4 z )$

Find the product. $( 2 m ) \left( 6 m ^ { 4 } \right)$

Combine the like terms. $8 x ^ { 2 } y - 6 x y - y ^ { 2 } - 2 x ^ { 2 } - 6 x ^ { 2 } y + 6 y ^ { 2 }$

Find the quotient and check. $\frac { 3 y ^ { 3 } - 32 y - 15 } { y + 3 }$

Divide. $\left( - 296 x ^ { 2 } z ^ { 3 } \right) \div \left( 370 x ^ { 5 } y ^ { 2 } z \right)$

Remove the parentheses from the expression. $( 2 x + 4 ) + ( 3 y - 4 r )$

Let $m$ = $4$ and $q$ = $17$ , and evaluate the expression. $\frac { ( q - m ) ^ { 2 } - 5 q } { 2 m ^ { 2 } }$

Combine the like terms. $2.7 x + 6.4 x - 19.1 x + 7.4 x$

Let $X$ = $- 3$ , $q$ = $3$ and evaluate the expression. $( 4 x - 2 q ) ( 4 q + 2 x )$