Question 1

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

Accepted Answer

The answer of Let y = 2 and m =...

Question 2

Subtract. $4 x ^ { 2 } + 2 x - 9$ , from $8 x ^ { 2 } - 4 x + 4$

Accepted Answer

The answer of Subtract. \(4 x ^ { 2 }...

Question 3

Find the quotient and check. $\left( 35 b ^ { 3 } - 39 b ^ { 2 } - 11 b + 15 \right) \div ( 7 b - 5 )$

Accepted Answer

The answer of Find the quotient and check. \(\left( 35...

Question 4

Divide. $\left( 4 a ^ { 3 } b \right) \div \left( 2 a b ^ { 2 } \right)$

Accepted Answer

A)  $\frac { 2 a ^ { 2 } } { b }$ 
B)  $\frac { 2 b } { a ^ { 2 } }$ 
C)  $\frac { 2 a } { b }$ 
D)  $2 a ^ { 4 } b ^ { 3 }$ 
E)  $\frac { a } { 2 b }$ 
A)  $\frac { 2 a ^ { 2 } } { b }$ 
B)  $\frac { 2 b } { a ^ { 2 } }$ 
C)  $\frac { 2 a } { b }$ 
D)  $2 a ^ { 4 } b ^ { 3 }$ 
E)  $\frac { a } { 2 b }$

Question 5

Find the quotient and check. $\left( 4 a ^ { 2 } + 19 a + 12 \right) \div ( a + 4 )$

Accepted Answer

A)  $4 a + 1 , r = 3$ 
B)  $4 a + 3$ 
C)  $4 a - 9$ 
D)  $4 a - 3$ 
E)  $4 a + 3 , r = 24$ 
A)  $4 a + 1 , r = 3$ 
B)  $4 a + 3$ 
C)  $4 a - 9$ 
D)  $4 a - 3$ 
E)  $4 a + 3 , r = 24$

Question 6

Find the product. $- 6 x ^ { 3 } \left( 1 - 6 x ^ { 2 } + 7 x ^ { 4 } \right)$

Accepted Answer

A)  $- 6 x ^ { 3 } + 36 x ^ { 5 } - 42 x ^ { 7 }$ 
B)  $- 6 x ^ { 3 } + 39 x ^ { 5 } - 42 x ^ { 7 }$ 
C)  $- 6 x ^ { 3 } - 36 x ^ { 5 } - 42 x ^ { 7 }$ 
D)  $- 6 x ^ { 3 } + 36 x ^ { 2 } - 42 x ^ { 4 }$ 
E)  $- 6 x ^ { 3 } - 42 x ^ { 5 } + 36 x ^ { 7 }$ 
A)  $- 6 x ^ { 3 } + 36 x ^ { 5 } - 42 x ^ { 7 }$ 
B)  $- 6 x ^ { 3 } + 39 x ^ { 5 } - 42 x ^ { 7 }$ 
C)  $- 6 x ^ { 3 } - 36 x ^ { 5 } - 42 x ^ { 7 }$ 
D)  $- 6 x ^ { 3 } + 36 x ^ { 2 } - 42 x ^ { 4 }$ 
E)  $- 6 x ^ { 3 } - 42 x ^ { 5 } + 36 x ^ { 7 }$

Question 7

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

Accepted Answer

A)  4x + 6y - 2z - 5w - 12 
B)  4x + 6y + 2z + 5w - 6 
C)  4x + 6y - 2z + 5w - 6 
D)  4x + 6y + 2z - 5w - 12 
E)  4x - 6y - 2z - 5w - 6 
A)  4x + 6y - 2z - 5w - 12 
B)  4x + 6y + 2z + 5w - 6 
C)  4x + 6y - 2z + 5w - 6 
D)  4x + 6y + 2z - 5w - 12 
E)  4x - 6y - 2z - 5w - 6

Question 8

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

Accepted Answer

A)  3x - y - z - 3 
B)  x - y + z - 3 
C)  x + y + z - 3 
D)  x - y - z - 3 
E)  3x + y - z - 3 
A)  3x - y - z - 3 
B)  x - y + z - 3 
C)  x + y + z - 3 
D)  x - y - z - 3 
E)  3x + y - z - 3

Question 9

Let p = - 3, q = - 3, and k = 3, and evaluate the expression. $( p - p q ) ^ { 2 } ( k - 3 p )$

Accepted Answer

The answer of Let p = - 3, q =...

Question 10

Find the difference. ( $7$ a - $9$ b ) - ( $5$ x - $4$ y )

Accepted Answer

A)  $12$ x + $13$ y 
B)  $7$ a - $9$ b - $5$ x + $4$ y 
C)  $12$ a + $13$ b 
D)  $7$ a + $9$ b - $5$ x + $4$ y 
E)  $7$ a - $9$ b - $5$ x - $4$ y 
A)  $12$ x + $13$ y 
B)  $7$ a - $9$ b - $5$ x + $4$ y 
C)  $12$ a + $13$ b 
D)  $7$ a + $9$ b - $5$ x + $4$ y 
E)  $7$ a - $9$ b - $5$ x - $4$ y

Question 11

Find the difference. $\left( 4 - 2 x - 3 x ^ { 2 } \right) - \left( - 2 - 5 x + x ^ { 2 } \right)$

Accepted Answer

A)  -4x 2 + 3x + 2 
B)  -2x 2 + 3x + 2 
C)  -2x 2 + 3x + 6 
D)  -4x 2 + 3x + 6 
E)  4x 2 - 3x + 2 
A)  -4x 2 + 3x + 2 
B)  -2x 2 + 3x + 2 
C)  -2x 2 + 3x + 6 
D)  -4x 2 + 3x + 6 
E)  4x 2 - 3x + 2

Question 12

Evaluate the expression. $4 ( - 7 ) \div ( - 28 ) - ( - 81 ) \div 9$

Accepted Answer

A)  8 
B)  9.1 
C)  -8 
D)  0.8 
E)  10 
A)  8 
B)  9.1 
C)  -8 
D)  0.8 
E)  10

Question 13

Divide. $\left( - 130 m ^ { 3 } n \right) \div \left( 26 m ^ { 2 } n \right)$

Accepted Answer

A)  $- 5 m n$ 
B)  $5 m ^ { 2 }$ 
C)  $6 m n ^ { 2 }$ 
D)  $- 6 m ^ { 2 }$ 
E)  $- 5 m$ 
A)  $- 5 m n$ 
B)  $5 m ^ { 2 }$ 
C)  $6 m n ^ { 2 }$ 
D)  $- 6 m ^ { 2 }$ 
E)  $- 5 m$

Question 14

Find the quotient and check. $\frac { 256 b ^ { 4 } + 28 } { 4 b - 2 }$

Accepted Answer

A)  $64 b ^ { 3 } + 32 b ^ { 2 } - 22 b + 8 , r = 0$ 
B)  $64 b ^ { 3 } + 36 b ^ { 2 } + 20 b - 21 r = 42$ 
C)  $65 b ^ { 3 } - 35 b ^ { 2 } - 18 b + 19 , r = 47$ 
D)  $64 b ^ { 3 } + 32 b ^ { 2 } + 16 b + 8 , r = 44$ 
E)  $65 b ^ { 3 } - 38 b ^ { 2 } + 22 b + 22 , r = 0$ 
A)  $64 b ^ { 3 } + 32 b ^ { 2 } - 22 b + 8 , r = 0$ 
B)  $64 b ^ { 3 } + 36 b ^ { 2 } + 20 b - 21 r = 42$ 
C)  $65 b ^ { 3 } - 35 b ^ { 2 } - 18 b + 19 , r = 47$ 
D)  $64 b ^ { 3 } + 32 b ^ { 2 } + 16 b + 8 , r = 44$ 
E)  $65 b ^ { 3 } - 38 b ^ { 2 } + 22 b + 22 , r = 0$

Question 15

Evaluate the expression. $[ ( - 3 ) ( 2 ) + 3 ( - 3 ) ] [ 6 ( - 5 ) - 7 ( - 3 ) ] ^ { 2 }$

Accepted Answer

A)  387 
B)  -735 
C)  18,225 
D)  -39,015 
E)  -1,215 
A)  387 
B)  -735 
C)  18,225 
D)  -39,015 
E)  -1,215

Question 16

Remove the parentheses from the expression. $( 3 x + y ) - ( 2 z + 7 ) - ( 3 r - 5 s + 2 )$

Accepted Answer

A)  3x + y - 2z - 9 - 3r + 5s 
B)  -3x - y - 2z - 9 - 3r + 5s 
C)  3x + y + 2z + 5 - 3r + 5s 
D)  3x + y - 2z - 5- 3r + 5s 
E)  -3x - y + 2z + 5 - 3r + 5s 
A)  3x + y - 2z - 9 - 3r + 5s 
B)  -3x - y - 2z - 9 - 3r + 5s 
C)  3x + y + 2z + 5 - 3r + 5s 
D)  3x + y - 2z - 5- 3r + 5s 
E)  -3x - y + 2z + 5 - 3r + 5s

Question 17

Find the quotient and check. $\frac { 4 a ^ { 2 } + 6 a - 10 } { 2 a + 5 }$

Accepted Answer

The answer of Find the quotient and check. \(\frac {...

Question 18

Simplify by first removing the parentheses and then combining the like terms. $- ( x - 9 ) - 9 ( 9 + x )$

Accepted Answer

A)  -72x - 10 
B)  -8x + 72 
C)  -10x - 72 
D)  -8x - 72 
E)  10x - 72 
A)  -72x - 10 
B)  -8x + 72 
C)  -10x - 72 
D)  -8x - 72 
E)  10x - 72

Question 19

Simplify by first removing the parentheses and then combining the like terms. $\left( \frac { 9 } { 16 } x - 1 \right) + \left( - \frac { 1 } { 2 } x - \frac { 1 } { 3 } \right)$

Accepted Answer

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

Question 20

Use the rule for exponents to simplify the following expression. $\left( 5 x ^ { 3 } \right) ^ { 3 }$

Accepted Answer

A)  $15 x ^ { 9 }$ 
B)  $125 x ^ { 9 }$ 
C)  $126 x ^ { 9 }$ 
D)  $131 x ^ { 7 }$ 
E)  $125 x ^ { 8 }$ 
A)  $15 x ^ { 9 }$ 
B)  $125 x ^ { 9 }$ 
C)  $126 x ^ { 9 }$ 
D)  $131 x ^ { 7 }$ 
E)  $125 x ^ { 8 }$

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

Subtract. $4 x ^ { 2 } + 2 x - 9$ , from $8 x ^ { 2 } - 4 x + 4$

Find the quotient and check. $\left( 35 b ^ { 3 } - 39 b ^ { 2 } - 11 b + 15 \right) \div ( 7 b - 5 )$

Divide. $\left( 4 a ^ { 3 } b \right) \div \left( 2 a b ^ { 2 } \right)$

Find the quotient and check. $\left( 4 a ^ { 2 } + 19 a + 12 \right) \div ( a + 4 )$

Find the product. $- 6 x ^ { 3 } \left( 1 - 6 x ^ { 2 } + 7 x ^ { 4 } \right)$

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

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

Let p = - 3, q = - 3, and k = 3, and evaluate the expression. $( p - p q ) ^ { 2 } ( k - 3 p )$

Find the difference. ( $7$ a - $9$ b ) - ( $5$ x - $4$ y )

Find the difference. $\left( 4 - 2 x - 3 x ^ { 2 } \right) - \left( - 2 - 5 x + x ^ { 2 } \right)$

Evaluate the expression. $4 ( - 7 ) \div ( - 28 ) - ( - 81 ) \div 9$

Divide. $\left( - 130 m ^ { 3 } n \right) \div \left( 26 m ^ { 2 } n \right)$

Find the quotient and check. $\frac { 256 b ^ { 4 } + 28 } { 4 b - 2 }$

Evaluate the expression. $[ ( - 3 ) ( 2 ) + 3 ( - 3 ) ] [ 6 ( - 5 ) - 7 ( - 3 ) ] ^ { 2 }$

Remove the parentheses from the expression. $( 3 x + y ) - ( 2 z + 7 ) - ( 3 r - 5 s + 2 )$

Find the quotient and check. $\frac { 4 a ^ { 2 } + 6 a - 10 } { 2 a + 5 }$

Simplify by first removing the parentheses and then combining the like terms. $- ( x - 9 ) - 9 ( 9 + x )$

Simplify by first removing the parentheses and then combining the like terms. $\left( \frac { 9 } { 16 } x - 1 \right) + \left( - \frac { 1 } { 2 } x - \frac { 1 } { 3 } \right)$

Use the rule for exponents to simplify the following expression. $\left( 5 x ^ { 3 } \right) ^ { 3 }$

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

Let y = 2 and m = 3 and r = 4, and evaluate the expression. (y2−2m2)r3\left( y ^ { 2 } - 2 m ^ { 2 } \right) r ^ { 3 }(y2−2m2)r3

Subtract. 4x2+2x−94 x ^ { 2 } + 2 x - 94x2+2x−9 , from 8x2−4x+48 x ^ { 2 } - 4 x + 48x2−4x+4

Find the quotient and check. (35b3−39b2−11b+15)÷(7b−5)\left( 35 b ^ { 3 } - 39 b ^ { 2 } - 11 b + 15 \right) \div ( 7 b - 5 )(35b3−39b2−11b+15)÷(7b−5)

Divide. (4a3b)÷(2ab2)\left( 4 a ^ { 3 } b \right) \div \left( 2 a b ^ { 2 } \right)(4a3b)÷(2ab2)

Find the quotient and check. (4a2+19a+12)÷(a+4)\left( 4 a ^ { 2 } + 19 a + 12 \right) \div ( a + 4 )(4a2+19a+12)÷(a+4)

Find the product. −6x3(1−6x2+7x4)- 6 x ^ { 3 } \left( 1 - 6 x ^ { 2 } + 7 x ^ { 4 } \right)−6x3(1−6x2+7x4)

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

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

Let p = - 3, q = - 3, and k = 3, and evaluate the expression. (p−pq)2(k−3p)( p - p q ) ^ { 2 } ( k - 3 p )(p−pq)2(k−3p)

Find the difference. ( 777 a - 999 b ) - ( 555 x - 444 y )

Find the difference. (4−2x−3x2)−(−2−5x+x2)\left( 4 - 2 x - 3 x ^ { 2 } \right) - \left( - 2 - 5 x + x ^ { 2 } \right)(4−2x−3x2)−(−2−5x+x2)

Evaluate the expression. 4(−7)÷(−28)−(−81)÷94 ( - 7 ) \div ( - 28 ) - ( - 81 ) \div 94(−7)÷(−28)−(−81)÷9

Divide. (−130m3n)÷(26m2n)\left( - 130 m ^ { 3 } n \right) \div \left( 26 m ^ { 2 } n \right)(−130m3n)÷(26m2n)

Find the quotient and check. 256b4+284b−2\frac { 256 b ^ { 4 } + 28 } { 4 b - 2 }4b−2256b4+28​

Evaluate the expression. [(−3)(2)+3(−3)][6(−5)−7(−3)]2[ ( - 3 ) ( 2 ) + 3 ( - 3 ) ] [ 6 ( - 5 ) - 7 ( - 3 ) ] ^ { 2 }[(−3)(2)+3(−3)][6(−5)−7(−3)]2

Remove the parentheses from the expression. (3x+y)−(2z+7)−(3r−5s+2)( 3 x + y ) - ( 2 z + 7 ) - ( 3 r - 5 s + 2 )(3x+y)−(2z+7)−(3r−5s+2)

Find the quotient and check. 4a2+6a−102a+5\frac { 4 a ^ { 2 } + 6 a - 10 } { 2 a + 5 }2a+54a2+6a−10​

Simplify by first removing the parentheses and then combining the like terms. −(x−9)−9(9+x)- ( x - 9 ) - 9 ( 9 + x )−(x−9)−9(9+x)

Simplify by first removing the parentheses and then combining the like terms. (916x−1)+(−12x−13)\left( \frac { 9 } { 16 } x - 1 \right) + \left( - \frac { 1 } { 2 } x - \frac { 1 } { 3 } \right)(169​x−1)+(−21​x−31​)

Use the rule for exponents to simplify the following expression. (5x3)3\left( 5 x ^ { 3 } \right) ^ { 3 }(5x3)3

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

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

Subtract. $4 x ^ { 2 } + 2 x - 9$ , from $8 x ^ { 2 } - 4 x + 4$

Find the quotient and check. $\left( 35 b ^ { 3 } - 39 b ^ { 2 } - 11 b + 15 \right) \div ( 7 b - 5 )$

Divide. $\left( 4 a ^ { 3 } b \right) \div \left( 2 a b ^ { 2 } \right)$

Find the quotient and check. $\left( 4 a ^ { 2 } + 19 a + 12 \right) \div ( a + 4 )$

Find the product. $- 6 x ^ { 3 } \left( 1 - 6 x ^ { 2 } + 7 x ^ { 4 } \right)$

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

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

Let p = - 3, q = - 3, and k = 3, and evaluate the expression. $( p - p q ) ^ { 2 } ( k - 3 p )$

Find the difference. ( $7$ a - $9$ b ) - ( $5$ x - $4$ y )

Find the difference. $\left( 4 - 2 x - 3 x ^ { 2 } \right) - \left( - 2 - 5 x + x ^ { 2 } \right)$

Evaluate the expression. $4 ( - 7 ) \div ( - 28 ) - ( - 81 ) \div 9$

Divide. $\left( - 130 m ^ { 3 } n \right) \div \left( 26 m ^ { 2 } n \right)$

Find the quotient and check. $\frac { 256 b ^ { 4 } + 28 } { 4 b - 2 }$

Evaluate the expression. $[ ( - 3 ) ( 2 ) + 3 ( - 3 ) ] [ 6 ( - 5 ) - 7 ( - 3 ) ] ^ { 2 }$

Remove the parentheses from the expression. $( 3 x + y ) - ( 2 z + 7 ) - ( 3 r - 5 s + 2 )$

Find the quotient and check. $\frac { 4 a ^ { 2 } + 6 a - 10 } { 2 a + 5 }$

Simplify by first removing the parentheses and then combining the like terms. $- ( x - 9 ) - 9 ( 9 + x )$

Simplify by first removing the parentheses and then combining the like terms. $\left( \frac { 9 } { 16 } x - 1 \right) + \left( - \frac { 1 } { 2 } x - \frac { 1 } { 3 } \right)$

Use the rule for exponents to simplify the following expression. $\left( 5 x ^ { 3 } \right) ^ { 3 }$