Question 1

Divide. $\left( 6 z ^ { 3 } - 18 z ^ { 2 } - 3 z \right) \div ( - 3 z )$

Accepted Answer

The answer of Divide. \(\left( 6 z ^ { 3...

Question 2

Divide. $\frac { b ^ { 8 } - b ^ { 7 } - b ^ { 6 } } { b ^ { 4 } }$

Accepted Answer

The answer of Divide. \(\frac { b ^ { 8...

Question 3

Simplify by first removing the parentheses and then combining the like terms. $\left( \frac { 9 } { 16 } x - 1 \right) + \left( - \frac { 1 } { 2 } x - \frac { 2 } { 5 } \right)$

Accepted Answer

A)  $- \frac { 1 } { 16 } x - 1 \frac { 1 } { 5 }$ 
B)  $\frac { 1 } { 16 } x - \frac { 4 } { 5 }$ 
C)  $\frac { 1 } { 16 } x - 1 \frac { 2 } { 5 }$ 
D)  $\frac { 1 } { 16 } x + 1 \frac { 1 } { 5 }$ 
E)  $- \frac { 1 } { 16 } x - 1 \frac { 4 } { 5 }$ 
A)  $- \frac { 1 } { 16 } x - 1 \frac { 1 } { 5 }$ 
B)  $\frac { 1 } { 16 } x - \frac { 4 } { 5 }$ 
C)  $\frac { 1 } { 16 } x - 1 \frac { 2 } { 5 }$ 
D)  $\frac { 1 } { 16 } x + 1 \frac { 1 } { 5 }$ 
E)  $- \frac { 1 } { 16 } x - 1 \frac { 4 } { 5 }$

Question 4

Simplify by first removing the parentheses and then combining the like terms. $( 0.8 x - 2.5 ) - ( - 4.1 x + 3.9 )$

Accepted Answer

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

Question 5

Remove the parentheses from the expression. $a - ( - b + c )$

Accepted Answer

A)  a - b + c 
B)  a + b - c 
C)  a - b - c 
D)  -a - b + c 
E)  a + b + c 
A)  a - b + c 
B)  a + b - c 
C)  a - b - c 
D)  -a - b + c 
E)  a + b + c

Question 6

Remove the parentheses from the expression. $a - ( b - c )$

Accepted Answer

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

Question 7

Find the quotient and check. $\frac { 12 y ^ { 4 } + 25 y ^ { 3 } - 26 y ^ { 2 } + 28 y - 21 } { 4 y ^ { 2 } - y + 7 }$

Accepted Answer

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

Question 8

Divide. $\frac { 108 x ^ { 2 } y ^ { 3 } + 36 x ^ { 3 } y ^ { 4 } - 12 x y ^ { 3 } } { 3 x y ^ { 3 } }$

Accepted Answer

A)  $36 x ^ { 2 } + 108 x y - 1$ 
B)  $4 x + 12 x ^ { 2 } y - 36$ 
C)  $36 x - 12 x y ^ { 2 } - 4$ 
D)  $36 x - 12 x ^ { 2 } y - 4$ 
E)  $36 x + 12 x ^ { 2 } y - 4$ 
A)  $36 x ^ { 2 } + 108 x y - 1$ 
B)  $4 x + 12 x ^ { 2 } y - 36$ 
C)  $36 x - 12 x y ^ { 2 } - 4$ 
D)  $36 x - 12 x ^ { 2 } y - 4$ 
E)  $36 x + 12 x ^ { 2 } y - 4$

Question 9

Find the product. $( 8 \mathrm {~m} ) ( 3 \mathrm {~m} )$

Accepted Answer

The answer of Find the product. \(( 8 \mathrm {~m}...

Question 10

Let $p$ = $4$ and $y$ = $9$ , and evaluate the expression. $7 - 9 ( p + y )$

Accepted Answer

A)  -110 
B)  -26 
C)  208 
D)  52 
E)  124 
A)  -110 
B)  -26 
C)  208 
D)  52 
E)  124

Question 11

Add. ( $4$ $x ^ { 4 }$ - $5 x ^ { 2 }$ + $4$ ) + ( $5 x ^ { 4 } - 9 x ^ { 2 } + 1$ ) + ( $2 x ^ { 4 } - 8 x ^ { 2 }$ )

Accepted Answer

A)  11x 4 - 22x 2 + 5 
B)  11x 4 + 21x 2 + 7 
C)  13x 4 - 22x 2 + 5 
D)  11x 4 + 21x 2 - 5 
E)  13x 4 - 22x 2 - 7 
A)  11x 4 - 22x 2 + 5 
B)  11x 4 + 21x 2 + 7 
C)  13x 4 - 22x 2 + 5 
D)  11x 4 + 21x 2 - 5 
E)  13x 4 - 22x 2 - 7

Question 12

Simplify by first removing the parentheses and then combining the like terms. $6 x - 7 ( 4 - x )$

Accepted Answer

A)  5x - 7 
B)  5x + 28 
C)  13x - 7 
D)  13x - 28 
E)  5x - 28 
A)  5x - 7 
B)  5x + 28 
C)  13x - 7 
D)  13x - 28 
E)  5x - 28

Question 13

Find the quotient and check. $\frac { 10 b ^ { 3 } + 41 b ^ { 2 } - 48 b + 12 } { 5 b - 2 }$

Accepted Answer

A)  $3 b ^ { 2 } + 15 b - 13$ 
B)  $2 b ^ { 2 } + 9 b - 6$ 
C)  $2 b ^ { 2 } + 15 b - 6$ 
D)  $4 b ^ { 2 } + 14 b - 10$ 
E)  $4 b ^ { 2 } + 11 b - 9$ 
A)  $3 b ^ { 2 } + 15 b - 13$ 
B)  $2 b ^ { 2 } + 9 b - 6$ 
C)  $2 b ^ { 2 } + 15 b - 6$ 
D)  $4 b ^ { 2 } + 14 b - 10$ 
E)  $4 b ^ { 2 } + 11 b - 9$

Question 14

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

Accepted Answer

A)  $\frac { c } { b }$ 
B)  $\frac { b } { c }$ 
C)  $C$ 
D)  $b$ 
E)  $b c$ 
A)  $\frac { c } { b }$ 
B)  $\frac { b } { c }$ 
C)  $C$ 
D)  $b$ 
E)  $b c$

Question 15

Find the quotient and check. $\frac { 35 x ^ { 4 } - 11 x ^ { 3 } + 18 x ^ { 2 } + 43 x - 45 } { 7 x - 5 }$

Accepted Answer

A)  $6 x ^ { 3 } - 6 x ^ { 2 } + 9 x + 8$ 
B)  $5 x ^ { 3 } + 8 x ^ { 2 } - 10 x + 11$ 
C)  $5 x ^ { 3 } + 2 x ^ { 2 } + 4 x + 9$ 
D)  $6 x ^ { 3 } + 4 x ^ { 2 } + 7 x + 5$ 
E)  $5 x ^ { 3 } + 2 x ^ { 2 } + 7 x + 9$ 
A)  $6 x ^ { 3 } - 6 x ^ { 2 } + 9 x + 8$ 
B)  $5 x ^ { 3 } + 8 x ^ { 2 } - 10 x + 11$ 
C)  $5 x ^ { 3 } + 2 x ^ { 2 } + 4 x + 9$ 
D)  $6 x ^ { 3 } + 4 x ^ { 2 } + 7 x + 5$ 
E)  $5 x ^ { 3 } + 2 x ^ { 2 } + 7 x + 9$

Question 16

Remove the parentheses from the expression. $a + ( - b + c )$

Accepted Answer

A)  -a + b - c 
B)  a - b + c 
C)  a - b - c 
D)  a + b - c 
E)  a + b + c 
A)  -a + b - c 
B)  a - b + c 
C)  a - b - c 
D)  a + b - c 
E)  a + b + c

Question 17

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

Accepted Answer

The answer of Divide. \(\left( 4 a ^ { 3...

Question 18

Evaluate the expression. ( $- 8$ ) $( - 2 ) ^ { 3 }$ + $7$ ( $- 2$ ) $\div 14$

Accepted Answer

A)  4,095 
B)  -65 
C)  3.6 
D)  63 
E)  65 
A)  4,095 
B)  -65 
C)  3.6 
D)  63 
E)  65

Question 19

Find the product. $\left( 10 m ^ { 3 } \right) \left( \frac { 1 } { 5 } m ^ { 4 } \right)$

Accepted Answer

A)  $4 z ^ { 7 }$ 
B)  $2 m ^ { 12 }$ 
C)  $2 z ^ { 7 }$ 
D)  $2 m ^ { 7 }$ 
E)  $6 m ^ { 7 }$ 
A)  $4 z ^ { 7 }$ 
B)  $2 m ^ { 12 }$ 
C)  $2 z ^ { 7 }$ 
D)  $2 m ^ { 7 }$ 
E)  $6 m ^ { 7 }$

Question 20

Find the product. $c ( 3 a + b + 8 c )$

Accepted Answer

A)  $3 a c + c b + 8 c$ 
B)  $3 a c + c b + 8 c ^ { 2 }$ 
C)  $3 a + c b + 8 c ^ { 2 }$ 
D)  $3 a c + b + 8 c ^ { 2 }$ 
E)  $3 a c + b + 8 c$ 
A)  $3 a c + c b + 8 c$ 
B)  $3 a c + c b + 8 c ^ { 2 }$ 
C)  $3 a + c b + 8 c ^ { 2 }$ 
D)  $3 a c + b + 8 c ^ { 2 }$ 
E)  $3 a c + b + 8 c$

Divide. $\left( 6 z ^ { 3 } - 18 z ^ { 2 } - 3 z \right) \div ( - 3 z )$

Divide. $\frac { b ^ { 8 } - b ^ { 7 } - b ^ { 6 } } { b ^ { 4 } }$

Simplify by first removing the parentheses and then combining the like terms. $\left( \frac { 9 } { 16 } x - 1 \right) + \left( - \frac { 1 } { 2 } x - \frac { 2 } { 5 } \right)$

Simplify by first removing the parentheses and then combining the like terms. $( 0.8 x - 2.5 ) - ( - 4.1 x + 3.9 )$

Remove the parentheses from the expression. $a - ( - b + c )$

Remove the parentheses from the expression. $a - ( b - c )$

Find the quotient and check. $\frac { 12 y ^ { 4 } + 25 y ^ { 3 } - 26 y ^ { 2 } + 28 y - 21 } { 4 y ^ { 2 } - y + 7 }$

Divide. $\frac { 108 x ^ { 2 } y ^ { 3 } + 36 x ^ { 3 } y ^ { 4 } - 12 x y ^ { 3 } } { 3 x y ^ { 3 } }$

Find the product. $( 8 \mathrm {~m} ) ( 3 \mathrm {~m} )$

Let $p$ = $4$ and $y$ = $9$ , and evaluate the expression. $7 - 9 ( p + y )$

Add. ( $4$ $x ^ { 4 }$ - $5 x ^ { 2 }$ + $4$ ) + ( $5 x ^ { 4 } - 9 x ^ { 2 } + 1$ ) + ( $2 x ^ { 4 } - 8 x ^ { 2 }$ )

Simplify by first removing the parentheses and then combining the like terms. $6 x - 7 ( 4 - x )$

Find the quotient and check. $\frac { 10 b ^ { 3 } + 41 b ^ { 2 } - 48 b + 12 } { 5 b - 2 }$

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

Find the quotient and check. $\frac { 35 x ^ { 4 } - 11 x ^ { 3 } + 18 x ^ { 2 } + 43 x - 45 } { 7 x - 5 }$

Remove the parentheses from the expression. $a + ( - b + c )$

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

Evaluate the expression. ( $- 8$ ) $( - 2 ) ^ { 3 }$ + $7$ ( $- 2$ ) $\div 14$

Find the product. $\left( 10 m ^ { 3 } \right) \left( \frac { 1 } { 5 } m ^ { 4 } \right)$

Find the product. $c ( 3 a + b + 8 c )$

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. (6z3−18z2−3z)÷(−3z)\left( 6 z ^ { 3 } - 18 z ^ { 2 } - 3 z \right) \div ( - 3 z )(6z3−18z2−3z)÷(−3z)

Divide. b8−b7−b6b4\frac { b ^ { 8 } - b ^ { 7 } - b ^ { 6 } } { b ^ { 4 } }b4b8−b7−b6​

Simplify by first removing the parentheses and then combining the like terms. (916x−1)+(−12x−25)\left( \frac { 9 } { 16 } x - 1 \right) + \left( - \frac { 1 } { 2 } x - \frac { 2 } { 5 } \right)(169​x−1)+(−21​x−52​)

Simplify by first removing the parentheses and then combining the like terms. (0.8x−2.5)−(−4.1x+3.9)( 0.8 x - 2.5 ) - ( - 4.1 x + 3.9 )(0.8x−2.5)−(−4.1x+3.9)

Remove the parentheses from the expression. a−(−b+c)a - ( - b + c )a−(−b+c)

Remove the parentheses from the expression. a−(b−c)a - ( b - c )a−(b−c)

Find the quotient and check. 12y4+25y3−26y2+28y−214y2−y+7\frac { 12 y ^ { 4 } + 25 y ^ { 3 } - 26 y ^ { 2 } + 28 y - 21 } { 4 y ^ { 2 } - y + 7 }4y2−y+712y4+25y3−26y2+28y−21​

Divide. 108x2y3+36x3y4−12xy33xy3\frac { 108 x ^ { 2 } y ^ { 3 } + 36 x ^ { 3 } y ^ { 4 } - 12 x y ^ { 3 } } { 3 x y ^ { 3 } }3xy3108x2y3+36x3y4−12xy3​

Find the product. (8 m)(3 m)( 8 \mathrm {~m} ) ( 3 \mathrm {~m} )(8 m)(3 m)

Let ppp = 444 and yyy = 999 , and evaluate the expression. 7−9(p+y)7 - 9 ( p + y )7−9(p+y)

Add. ( 444 x4x ^ { 4 }x4 - 5x25 x ^ { 2 }5x2 + 444 ) + ( 5x4−9x2+15 x ^ { 4 } - 9 x ^ { 2 } + 15x4−9x2+1 ) + ( 2x4−8x22 x ^ { 4 } - 8 x ^ { 2 }2x4−8x2 )

Simplify by first removing the parentheses and then combining the like terms. 6x−7(4−x)6 x - 7 ( 4 - x )6x−7(4−x)

Find the quotient and check. 10b3+41b2−48b+125b−2\frac { 10 b ^ { 3 } + 41 b ^ { 2 } - 48 b + 12 } { 5 b - 2 }5b−210b3+41b2−48b+12​

Divide. b2cbc2\frac { b ^ { 2 } c } { b c ^ { 2 } }bc2b2c​

Find the quotient and check. 35x4−11x3+18x2+43x−457x−5\frac { 35 x ^ { 4 } - 11 x ^ { 3 } + 18 x ^ { 2 } + 43 x - 45 } { 7 x - 5 }7x−535x4−11x3+18x2+43x−45​

Remove the parentheses from the expression. a+(−b+c)a + ( - b + c )a+(−b+c)

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

Evaluate the expression. ( −8- 8−8 ) (−2)3( - 2 ) ^ { 3 }(−2)3 + 777 ( −2- 2−2 ) ÷14\div 14÷14

Find the product. (10m3)(15m4)\left( 10 m ^ { 3 } \right) \left( \frac { 1 } { 5 } m ^ { 4 } \right)(10m3)(51​m4)

Find the product. c(3a+b+8c)c ( 3 a + b + 8 c )c(3a+b+8c)

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. $\left( 6 z ^ { 3 } - 18 z ^ { 2 } - 3 z \right) \div ( - 3 z )$

Divide. $\frac { b ^ { 8 } - b ^ { 7 } - b ^ { 6 } } { b ^ { 4 } }$

Simplify by first removing the parentheses and then combining the like terms. $\left( \frac { 9 } { 16 } x - 1 \right) + \left( - \frac { 1 } { 2 } x - \frac { 2 } { 5 } \right)$

Simplify by first removing the parentheses and then combining the like terms. $( 0.8 x - 2.5 ) - ( - 4.1 x + 3.9 )$

Remove the parentheses from the expression. $a - ( - b + c )$

Remove the parentheses from the expression. $a - ( b - c )$

Find the quotient and check. $\frac { 12 y ^ { 4 } + 25 y ^ { 3 } - 26 y ^ { 2 } + 28 y - 21 } { 4 y ^ { 2 } - y + 7 }$

Divide. $\frac { 108 x ^ { 2 } y ^ { 3 } + 36 x ^ { 3 } y ^ { 4 } - 12 x y ^ { 3 } } { 3 x y ^ { 3 } }$

Find the product. $( 8 \mathrm {~m} ) ( 3 \mathrm {~m} )$

Let $p$ = $4$ and $y$ = $9$ , and evaluate the expression. $7 - 9 ( p + y )$

Add. ( $4$ $x ^ { 4 }$ - $5 x ^ { 2 }$ + $4$ ) + ( $5 x ^ { 4 } - 9 x ^ { 2 } + 1$ ) + ( $2 x ^ { 4 } - 8 x ^ { 2 }$ )

Simplify by first removing the parentheses and then combining the like terms. $6 x - 7 ( 4 - x )$

Find the quotient and check. $\frac { 10 b ^ { 3 } + 41 b ^ { 2 } - 48 b + 12 } { 5 b - 2 }$

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

Find the quotient and check. $\frac { 35 x ^ { 4 } - 11 x ^ { 3 } + 18 x ^ { 2 } + 43 x - 45 } { 7 x - 5 }$

Remove the parentheses from the expression. $a + ( - b + c )$

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

Evaluate the expression. ( $- 8$ ) $( - 2 ) ^ { 3 }$ + $7$ ( $- 2$ ) $\div 14$

Find the product. $\left( 10 m ^ { 3 } \right) \left( \frac { 1 } { 5 } m ^ { 4 } \right)$

Find the product. $c ( 3 a + b + 8 c )$