Question 1

Find the product. $\left( \frac { 6 } { 7 } z ^ { 4 } q ^ { 4 } \right) \left( \frac { 1 } { 3 } z ^ { 5 } q y ^ { 3 } \right)$

Accepted Answer

A)  $\frac { 2 } { 11 } z ^ { 9 } q ^ { 7 } y ^ { 5 }$ 
B)  $\frac { 2 } { 9 } z ^ { 10 } q ^ { 5 } y ^ { 6 }$ 
C)  $\frac { 2 } { 7 } z ^ { 9 } q ^ { 5 } y ^ { 3 }$ 
D)  $\frac { 1 } { 4 } z ^ { 10 } q ^ { 3 } y ^ { 5 }$ 
E)  $\frac { 2 } { 7 } z ^ { 9 } q ^ { 4 } y ^ { 3 }$ 
A)  $\frac { 2 } { 11 } z ^ { 9 } q ^ { 7 } y ^ { 5 }$ 
B)  $\frac { 2 } { 9 } z ^ { 10 } q ^ { 5 } y ^ { 6 }$ 
C)  $\frac { 2 } { 7 } z ^ { 9 } q ^ { 5 } y ^ { 3 }$ 
D)  $\frac { 1 } { 4 } z ^ { 10 } q ^ { 3 } y ^ { 5 }$ 
E)  $\frac { 2 } { 7 } z ^ { 9 } q ^ { 4 } y ^ { 3 }$

Question 2

Divide. $\frac { 25 x ^ { 8 } } { - 40 x ^ { 3 } y ^ { 2 } }$

Accepted Answer

A)  $- \frac { 5 x ^ { 5 } y } { 8 }$ 
B)  $- \frac { 3 x ^ { 2 } } { 2 }$ 
C)  $- x ^ { 5 } y ^ { 2 }$ 
D)  $- \frac { 5 x ^ { 5 } } { 8 y ^ { 2 } }$ 
E)  $- \frac { 2 x ^ { 3 } } { 3 y ^ { 2 } }$ 
A)  $- \frac { 5 x ^ { 5 } y } { 8 }$ 
B)  $- \frac { 3 x ^ { 2 } } { 2 }$ 
C)  $- x ^ { 5 } y ^ { 2 }$ 
D)  $- \frac { 5 x ^ { 5 } } { 8 y ^ { 2 } }$ 
E)  $- \frac { 2 x ^ { 3 } } { 3 y ^ { 2 } }$

Question 3

Evaluate the expression when m=7. $- m ^ { 2 }$

Accepted Answer

A)  -105 
B)  -49 
C)  86 
D)  -50 
E)  49 
A)  -105 
B)  -49 
C)  86 
D)  -50 
E)  49

Question 4

Add.  
( $5$ y $- 7$ x + $2$ z )+ ( $4$ z $- 8$ y + $5$ x ) + ( $13$ y + $5$ z $- 5$ x )

Accepted Answer

A)  -22x + 10y + 10z 
B)  -7x + 10y + 12z 
C)  22x -10y + 2z 
D)  -7x + 10y + 11z 
E)  22x + 18y + 11z 
A)  -22x + 10y + 10z 
B)  -7x + 10y + 12z 
C)  22x -10y + 2z 
D)  -7x + 10y + 11z 
E)  22x + 18y + 11z

Question 5

Find the product. $( 5 x - 6 ) ( 3 x - 5 )$

Accepted Answer

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

Question 6

Find the product. $( 6 x - 2 y ) ( 2 x + 7 y )$

Accepted Answer

A)  $12 x ^ { 2 } - 38 x y - 14 y ^ { 2 }$ 
B)  $12 x ^ { 2 } + 35 x y - 11 y ^ { 2 }$ 
C)  $12 x ^ { 2 } - 37 x y - 13 y ^ { 2 }$ 
D)  $12 x ^ { 2 } + 40 x y - 12 y ^ { 2 }$ 
E)  $12 x ^ { 2 } + 38 x y - 14 y ^ { 2 }$ 
A)  $12 x ^ { 2 } - 38 x y - 14 y ^ { 2 }$ 
B)  $12 x ^ { 2 } + 35 x y - 11 y ^ { 2 }$ 
C)  $12 x ^ { 2 } - 37 x y - 13 y ^ { 2 }$ 
D)  $12 x ^ { 2 } + 40 x y - 12 y ^ { 2 }$ 
E)  $12 x ^ { 2 } + 38 x y - 14 y ^ { 2 }$

Question 7

Find the quotient and check. $\frac { 20 b ^ { 2 } - 13 b - 21 } { 5 b - 7 }$

Accepted Answer

A)  $4 b - 3$ 
B)  $4 b + 3$ 
C)  $7 b + 4$ 
D)  $8 b - 7$ 
E)  $11 b + 9$ 
A)  $4 b - 3$ 
B)  $4 b + 3$ 
C)  $7 b + 4$ 
D)  $8 b - 7$ 
E)  $11 b + 9$

Question 8

Let x = -2 and n = -3, and evaluate the expression. $\left( 3 x ^ { 2 } - n ^ { 2 } \right) ^ { 2 }$

Accepted Answer

A)  9 
B)  441 
C)  8 
D)  -441 
E)  1 
A)  9 
B)  441 
C)  8 
D)  -441 
E)  1

Question 9

Evaluate the expression. $( - 378 ) \div ( - 3 ) \div ( - 7 ) \div ( - 6 ) - ( - 6 ) ( - 8 ) ( - 3 )$

Accepted Answer

A)  -141 
B)  36.0 
C)  147 
D)  -2 
E)  141 
A)  -141 
B)  36.0 
C)  147 
D)  -2 
E)  141

Question 10

Find the product. $- \frac { 3 } { 8 } a ^ { 2 } b ^ { 4 } \left( \frac { 4 } { 9 } a ^ { 3 } b ^ { 2 } - \frac { 2 } { 3 } a b - \frac { 24 } { 25 } b ^ { 4 } \right)$

Accepted Answer

The answer of Find the product. \(- \frac { 3...

Question 11

Simplify by first removing the parentheses and then combining the like terms. $( 4 - 3 x ) + ( 3 x + 4 )$ x = __________

Accepted Answer

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

Question 12

Use the rule for exponents to simplify. $\left( - 2 m ^ { 3 } \right) ^ { 2 }$

Accepted Answer

A)  $4 y ^ { 5 }$ 
B)  $8 y ^ { 6 }$ 
C)  $2 m ^ { 6 }$ 
D)  $12 m ^ { 4 }$ 
E)  $4 m ^ { 6 }$ 
A)  $4 y ^ { 5 }$ 
B)  $8 y ^ { 6 }$ 
C)  $2 m ^ { 6 }$ 
D)  $12 m ^ { 4 }$ 
E)  $4 m ^ { 6 }$

Question 13

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

Accepted Answer

The answer of Evaluate the expression when z=4 and q=...

Question 14

Divide. $\left( 69 x ^ { 4 } y ^ { 4 } \right) \div \left( - 23 x ^ { 4 } y ^ { 5 } \right)$

Accepted Answer

A)  $- \frac { 3 } { y }$ 
B)  $- 3 y$ 
C)  $- \frac { 8 } { y ^ { 2 } }$ 
D)  $- 3 x ^ { 8 } y ^ { 9 }$ 
E)  $- \frac { 3 x ^ { 4 } } { y }$ 
A)  $- \frac { 3 } { y }$ 
B)  $- 3 y$ 
C)  $- \frac { 8 } { y ^ { 2 } }$ 
D)  $- 3 x ^ { 8 } y ^ { 9 }$ 
E)  $- \frac { 3 x ^ { 4 } } { y }$

Question 15

Evaluate the expression. $( - 7 ) ( - 5 ) ^ { 3 } + 8 ( - 5 ) \div 40$

Accepted Answer

The answer of Evaluate the expression. \(( - 7 )...

Question 16

Find the quotient and check. $\frac { 12 x ^ { 3 } - 22 } { 4 x + 4 }$

Accepted Answer

A)  $3 x ^ { 2 } - 3 x + 3 , r = - 34$ 
B)  $4 x ^ { 2 } - 9 x - 10 , r = - 26$ 
C)  $5 x ^ { 2 } + 6 x - 6 , r = - 32$ 
D)  $5 x ^ { 2 } + 7 x + - 8 , r = - 30$ 
E)  $3 x ^ { 2 } - 7 x + 3 , r = - 26$ 
A)  $3 x ^ { 2 } - 3 x + 3 , r = - 34$ 
B)  $4 x ^ { 2 } - 9 x - 10 , r = - 26$ 
C)  $5 x ^ { 2 } + 6 x - 6 , r = - 32$ 
D)  $5 x ^ { 2 } + 7 x + - 8 , r = - 30$ 
E)  $3 x ^ { 2 } - 7 x + 3 , r = - 26$

Question 17

Find the product. $( 9 y - 3 z ) \left( 2 y ^ { 2 } - 5 y z + 6 z ^ { 2 } \right)$

Accepted Answer

A)  $18 y ^ { 3 } - 51 z y ^ { 2 } + 69 y z ^ { 2 } - 18 z ^ { 3 }$ 
B)  $18 y ^ { 3 } - 69 z y ^ { 2 } + 51 y z ^ { 2 } + 18 z ^ { 3 }$ 
C)  $18 y ^ { 3 } - 69 z y ^ { 2 } + 51 y z ^ { 2 } - 18 z ^ { 3 }$ 
D)  $18 y ^ { 3 } + 69 z y ^ { 2 } + 51 y z ^ { 2 } - 18 z ^ { 3 }$ 
E)  $51 y ^ { 3 } - 69 z y ^ { 2 } - 18 y z ^ { 2 } - 18 z ^ { 3 }$ 
A)  $18 y ^ { 3 } - 51 z y ^ { 2 } + 69 y z ^ { 2 } - 18 z ^ { 3 }$ 
B)  $18 y ^ { 3 } - 69 z y ^ { 2 } + 51 y z ^ { 2 } + 18 z ^ { 3 }$ 
C)  $18 y ^ { 3 } - 69 z y ^ { 2 } + 51 y z ^ { 2 } - 18 z ^ { 3 }$ 
D)  $18 y ^ { 3 } + 69 z y ^ { 2 } + 51 y z ^ { 2 } - 18 z ^ { 3 }$ 
E)  $51 y ^ { 3 } - 69 z y ^ { 2 } - 18 y z ^ { 2 } - 18 z ^ { 3 }$

Question 18

Find the quotient and check. $\frac { 42 x ^ { 2 } + 30 x - 12 } { 6 x + 6 }$

Accepted Answer

A)  $8 x + 5$ 
B)  $11 x + 7$ 
C)  $7 x + 2$ 
D)  $13 x - 8$ 
E)  $7 x - 2$ 
A)  $8 x + 5$ 
B)  $11 x + 7$ 
C)  $7 x + 2$ 
D)  $13 x - 8$ 
E)  $7 x - 2$

Question 19

Find the product. $( 2 y ) ( 9 y )$

Accepted Answer

A)  $18 y$ 
B)  $20 y ^ { 3 }$ 
C)  $21 y ^ { 2 }$ 
D)  $18 y ^ { 2 }$ 
E)  $23 y ^ { 2 }$ 
A)  $18 y$ 
B)  $20 y ^ { 3 }$ 
C)  $21 y ^ { 2 }$ 
D)  $18 y ^ { 2 }$ 
E)  $23 y ^ { 2 }$

Question 20

Find the difference. ( $7$ a - $7$ b ) - ( $4$ a - $4$ b )

Accepted Answer

A)  3a - 3b 
B)  11a - 3b 
C)  3a + 11b 
D)  11a - 11b 
E)  3a - 11b 
A)  3a - 3b 
B)  11a - 3b 
C)  3a + 11b 
D)  11a - 11b 
E)  3a - 11b

Find the product. $\left( \frac { 6 } { 7 } z ^ { 4 } q ^ { 4 } \right) \left( \frac { 1 } { 3 } z ^ { 5 } q y ^ { 3 } \right)$

Divide. $\frac { 25 x ^ { 8 } } { - 40 x ^ { 3 } y ^ { 2 } }$

Evaluate the expression when m=7. $- m ^ { 2 }$

Add. ( $5$ y $- 7$ x + $2$ z )+ ( $4$ z $- 8$ y + $5$ x ) + ( $13$ y + $5$ z $- 5$ x )

Find the product. $( 5 x - 6 ) ( 3 x - 5 )$

Find the product. $( 6 x - 2 y ) ( 2 x + 7 y )$

Find the quotient and check. $\frac { 20 b ^ { 2 } - 13 b - 21 } { 5 b - 7 }$

Let x = -2 and n = -3, and evaluate the expression. $\left( 3 x ^ { 2 } - n ^ { 2 } \right) ^ { 2 }$

Evaluate the expression. $( - 378 ) \div ( - 3 ) \div ( - 7 ) \div ( - 6 ) - ( - 6 ) ( - 8 ) ( - 3 )$

Find the product. $- \frac { 3 } { 8 } a ^ { 2 } b ^ { 4 } \left( \frac { 4 } { 9 } a ^ { 3 } b ^ { 2 } - \frac { 2 } { 3 } a b - \frac { 24 } { 25 } b ^ { 4 } \right)$

Simplify by first removing the parentheses and then combining the like terms. $( 4 - 3 x ) + ( 3 x + 4 )$ x = __________

Use the rule for exponents to simplify. $\left( - 2 m ^ { 3 } \right) ^ { 2 }$

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

Divide. $\left( 69 x ^ { 4 } y ^ { 4 } \right) \div \left( - 23 x ^ { 4 } y ^ { 5 } \right)$

Evaluate the expression. $( - 7 ) ( - 5 ) ^ { 3 } + 8 ( - 5 ) \div 40$

Find the quotient and check. $\frac { 12 x ^ { 3 } - 22 } { 4 x + 4 }$

Find the product. $( 9 y - 3 z ) \left( 2 y ^ { 2 } - 5 y z + 6 z ^ { 2 } \right)$

Find the quotient and check. $\frac { 42 x ^ { 2 } + 30 x - 12 } { 6 x + 6 }$

Find the product. $( 2 y ) ( 9 y )$

Find the difference. ( $7$ a - $7$ b ) - ( $4$ a - $4$ b )

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

Find the product. (67z4q4)(13z5qy3)\left( \frac { 6 } { 7 } z ^ { 4 } q ^ { 4 } \right) \left( \frac { 1 } { 3 } z ^ { 5 } q y ^ { 3 } \right)(76​z4q4)(31​z5qy3)

Divide. 25x8−40x3y2\frac { 25 x ^ { 8 } } { - 40 x ^ { 3 } y ^ { 2 } }−40x3y225x8​

Evaluate the expression when m=7. −m2- m ^ { 2 }−m2

Add. ( 555 y −7- 7−7 x + 222 z )+ ( 444 z −8- 8−8 y + 555 x ) + ( 131313 y + 555 z −5- 5−5 x )

Find the product. (5x−6)(3x−5)( 5 x - 6 ) ( 3 x - 5 )(5x−6)(3x−5)

Find the product. (6x−2y)(2x+7y)( 6 x - 2 y ) ( 2 x + 7 y )(6x−2y)(2x+7y)

Find the quotient and check. 20b2−13b−215b−7\frac { 20 b ^ { 2 } - 13 b - 21 } { 5 b - 7 }5b−720b2−13b−21​

Let x = -2 and n = -3, and evaluate the expression. (3x2−n2)2\left( 3 x ^ { 2 } - n ^ { 2 } \right) ^ { 2 }(3x2−n2)2

Evaluate the expression. (−378)÷(−3)÷(−7)÷(−6)−(−6)(−8)(−3)( - 378 ) \div ( - 3 ) \div ( - 7 ) \div ( - 6 ) - ( - 6 ) ( - 8 ) ( - 3 )(−378)÷(−3)÷(−7)÷(−6)−(−6)(−8)(−3)

Find the product. −38a2b4(49a3b2−23ab−2425b4)- \frac { 3 } { 8 } a ^ { 2 } b ^ { 4 } \left( \frac { 4 } { 9 } a ^ { 3 } b ^ { 2 } - \frac { 2 } { 3 } a b - \frac { 24 } { 25 } b ^ { 4 } \right)−83​a2b4(94​a3b2−32​ab−2524​b4)

Simplify by first removing the parentheses and then combining the like terms. (4−3x)+(3x+4)( 4 - 3 x ) + ( 3 x + 4 )(4−3x)+(3x+4) x = __________

Use the rule for exponents to simplify. (−2m3)2\left( - 2 m ^ { 3 } \right) ^ { 2 }(−2m3)2

Evaluate the expression when z=4 and q= - 2. (3z3q2)2\left( 3 z ^ { 3 } q ^ { 2 } \right) ^ { 2 }(3z3q2)2

Divide. (69x4y4)÷(−23x4y5)\left( 69 x ^ { 4 } y ^ { 4 } \right) \div \left( - 23 x ^ { 4 } y ^ { 5 } \right)(69x4y4)÷(−23x4y5)

Evaluate the expression. (−7)(−5)3+8(−5)÷40( - 7 ) ( - 5 ) ^ { 3 } + 8 ( - 5 ) \div 40(−7)(−5)3+8(−5)÷40

Find the quotient and check. 12x3−224x+4\frac { 12 x ^ { 3 } - 22 } { 4 x + 4 }4x+412x3−22​

Find the product. (9y−3z)(2y2−5yz+6z2)( 9 y - 3 z ) \left( 2 y ^ { 2 } - 5 y z + 6 z ^ { 2 } \right)(9y−3z)(2y2−5yz+6z2)

Find the quotient and check. 42x2+30x−126x+6\frac { 42 x ^ { 2 } + 30 x - 12 } { 6 x + 6 }6x+642x2+30x−12​

Find the product. (2y)(9y)( 2 y ) ( 9 y )(2y)(9y)

Find the difference. ( 777 a - 777 b ) - ( 444 a - 444 b )

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

Find the product. $\left( \frac { 6 } { 7 } z ^ { 4 } q ^ { 4 } \right) \left( \frac { 1 } { 3 } z ^ { 5 } q y ^ { 3 } \right)$

Divide. $\frac { 25 x ^ { 8 } } { - 40 x ^ { 3 } y ^ { 2 } }$

Evaluate the expression when m=7. $- m ^ { 2 }$

Add. ( $5$ y $- 7$ x + $2$ z )+ ( $4$ z $- 8$ y + $5$ x ) + ( $13$ y + $5$ z $- 5$ x )

Find the product. $( 5 x - 6 ) ( 3 x - 5 )$

Find the product. $( 6 x - 2 y ) ( 2 x + 7 y )$

Find the quotient and check. $\frac { 20 b ^ { 2 } - 13 b - 21 } { 5 b - 7 }$

Let x = -2 and n = -3, and evaluate the expression. $\left( 3 x ^ { 2 } - n ^ { 2 } \right) ^ { 2 }$

Evaluate the expression. $( - 378 ) \div ( - 3 ) \div ( - 7 ) \div ( - 6 ) - ( - 6 ) ( - 8 ) ( - 3 )$

Find the product. $- \frac { 3 } { 8 } a ^ { 2 } b ^ { 4 } \left( \frac { 4 } { 9 } a ^ { 3 } b ^ { 2 } - \frac { 2 } { 3 } a b - \frac { 24 } { 25 } b ^ { 4 } \right)$

Simplify by first removing the parentheses and then combining the like terms. $( 4 - 3 x ) + ( 3 x + 4 )$ x = __________

Use the rule for exponents to simplify. $\left( - 2 m ^ { 3 } \right) ^ { 2 }$

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

Divide. $\left( 69 x ^ { 4 } y ^ { 4 } \right) \div \left( - 23 x ^ { 4 } y ^ { 5 } \right)$

Evaluate the expression. $( - 7 ) ( - 5 ) ^ { 3 } + 8 ( - 5 ) \div 40$

Find the quotient and check. $\frac { 12 x ^ { 3 } - 22 } { 4 x + 4 }$

Find the product. $( 9 y - 3 z ) \left( 2 y ^ { 2 } - 5 y z + 6 z ^ { 2 } \right)$

Find the quotient and check. $\frac { 42 x ^ { 2 } + 30 x - 12 } { 6 x + 6 }$

Find the product. $( 2 y ) ( 9 y )$

Find the difference. ( $7$ a - $7$ b ) - ( $4$ a - $4$ b )