Question 1

Find the product. $\left( - 11 q ^ { 5 } \right) \left( - 8 q ^ { 4 } \right)$

Accepted Answer

A)  $- 88 q ^ { 20 }$ 
B)  $19 z ^ { 9 }$ 
C)  $88 q ^ { 9 }$ 
D)  $88 q ^ { 20 }$ 
E)  $- 88 z ^ { 9 }$ 
A)  $- 88 q ^ { 20 }$ 
B)  $19 z ^ { 9 }$ 
C)  $88 q ^ { 9 }$ 
D)  $88 q ^ { 20 }$ 
E)  $- 88 z ^ { 9 }$

Question 2

Find the product. $( x - 8 ) ( x - 3 )$

Accepted Answer

A)  $x ^ { 2 } - 8 x + 27$ 
B)  $x ^ { 2 } - 5 x + 24$ 
C)  $x ^ { 2 } - 11 x + 24$ 
D)  $x ^ { 2 } - 13 x + 22$ 
E)  $x ^ { 2 } - 12 x + 23$ 
A)  $x ^ { 2 } - 8 x + 27$ 
B)  $x ^ { 2 } - 5 x + 24$ 
C)  $x ^ { 2 } - 11 x + 24$ 
D)  $x ^ { 2 } - 13 x + 22$ 
E)  $x ^ { 2 } - 12 x + 23$

Question 3

Simplify by first removing the parentheses and then combining the like terms. $( 4.1 x - 5.7 ) - ( - 0.9 x + 7.1 )$

Accepted Answer

A)  5x + 12.8 
B)  3.2x - 12.8 
C)  5x - 12.8 
D)  3.2x - 5 
E)  3.2x - 1.4 
A)  5x + 12.8 
B)  3.2x - 12.8 
C)  5x - 12.8 
D)  3.2x - 5 
E)  3.2x - 1.4

Question 4

Divide. $\frac { 20 x ^ { 4 } } { - 32 x ^ { 2 } y ^ { 2 } }$

Accepted Answer

The answer of Divide. \(\frac { 20 x ^ {...

Question 5

Find the quotient and check. $\left( 2 z ^ { 2 } + 16 z + 14 \right) \div ( z + 7 )$

Accepted Answer

The answer of Find the quotient and check. \(\left( 2...

Question 6

Find the product. $( x + 1 ) ( x + 9 )$

Accepted Answer

A)  $x ^ { 2 } + 13 x + 12$ 
B)  $x ^ { 2 } + 10 x + 9$ 
C)  $x ^ { 2 } + 12 x + 11$ 
D)  $x ^ { 2 } + 9 x + 10$ 
E)  $x ^ { 2 } + 9 x + 9$ 
A)  $x ^ { 2 } + 13 x + 12$ 
B)  $x ^ { 2 } + 10 x + 9$ 
C)  $x ^ { 2 } + 12 x + 11$ 
D)  $x ^ { 2 } + 9 x + 10$ 
E)  $x ^ { 2 } + 9 x + 9$

Question 7

Divide. $\left( - 58 m ^ { 5 } n \right) \div \left( 29 m ^ { 4 } n \right)$

Accepted Answer

The answer of Divide. \(\left( - 58 m ^ {...

Question 8

Find the product. $( 2 x - 3 y + 5 ) ( 4 x - 5 y - 1 )$

Accepted Answer

The answer of Find the product. \(( 2 x -...

Question 9

Simplify by first removing the parentheses and then combining the like terms. $( x + 8 ) - 4 ( 2 x - 7 )$

Accepted Answer

A)  -29x + 20 
B)  7x - 20 
C)  -7x + 20 
D)  -9x + 36 
E)  -7x + 36 
A)  -29x + 20 
B)  7x - 20 
C)  -7x + 20 
D)  -9x + 36 
E)  -7x + 36

Question 10

Let m = - 3, n = - 2, and k = - 1 and evaluate the expression. $( m - m n ) ^ { 2 } ( k - 3 m )$

Accepted Answer

A)  -81 
B)  648 
C)  -810 
D)  -72 
E)  72 
A)  -81 
B)  648 
C)  -810 
D)  -72 
E)  72

Question 11

Let $X$ = $5$ and $q$ = $4$ , and evaluate the expression. $\frac { 1 } { x } - \frac { 1 } { q } + \frac { 32 } { x q }$

Accepted Answer

A)  $1 \frac { 7 } { 10 }$ 
B)  $1 \frac { 17 } { 20 }$ 
C)  $1 \frac { 13 } { 20 }$ 
D)  $1 \frac { 11 } { 20 }$ 
E)  $2 \frac { 1 } { 20 }$ 
A)  $1 \frac { 7 } { 10 }$ 
B)  $1 \frac { 17 } { 20 }$ 
C)  $1 \frac { 13 } { 20 }$ 
D)  $1 \frac { 11 } { 20 }$ 
E)  $2 \frac { 1 } { 20 }$

Question 12

Find the quotient and check. $\frac { 4 b ^ { 3 } + 4 b + 4 } { 2 b - 2 }$

Accepted Answer

A)  $2 b ^ { 2 } + 8 b - 11$ , r = $16$ 
B)  $4 b ^ { 2 } - 6 b - 8$ , r = $14$ 
C)  $2 b ^ { 2 } - 4 b - 7$ , r = $13$ 
D)  $2 b ^ { 2 } - 2 b - 4$ , r = $24$ 
E)  $2 b ^ { 2 } + 2 b + 4$ , r = $12$ 
A)  $2 b ^ { 2 } + 8 b - 11$ , r = $16$ 
B)  $4 b ^ { 2 } - 6 b - 8$ , r = $14$ 
C)  $2 b ^ { 2 } - 4 b - 7$ , r = $13$ 
D)  $2 b ^ { 2 } - 2 b - 4$ , r = $24$ 
E)  $2 b ^ { 2 } + 2 b + 4$ , r = $12$

Question 13

Find the quotient and check. $\frac { 8 m ^ { 3 } + 7 m ^ { 2 } - 11 m + 14 } { m + 2 }$

Accepted Answer

A)  $10 m ^ { 2 } + 12 m - 10$ 
B)  $8 m ^ { 2 } - 9 m + 7$ 
C)  $9 m ^ { 2 } + 15 m - 13$ 
D)  $8 m ^ { 2 } + 15 m + 7$ 
E)  $9 m ^ { 2 } - 14 m - 11$ 
A)  $10 m ^ { 2 } + 12 m - 10$ 
B)  $8 m ^ { 2 } - 9 m + 7$ 
C)  $9 m ^ { 2 } + 15 m - 13$ 
D)  $8 m ^ { 2 } + 15 m + 7$ 
E)  $9 m ^ { 2 } - 14 m - 11$

Question 14

Find the product. $\left( \frac { 2 } { 3 } m ^ { 2 } x ^ { 4 } \right) \left( \frac { 9 } { 20 } m x ^ { 2 } \right)$

Accepted Answer

A)  $\frac { 3 } { 10 } m ^ { 3 } x ^ { 6 }$ 
B)  $\frac { 3 } { 14 } m ^ { 2 } x ^ { 8 }$ 
C)  $\frac { 3 } { 11 } m ^ { 3 } x ^ { 6 }$ 
D)  $\frac { 3 } { 10 } m ^ { 2 } x ^ { 9 }$ 
E)  $\frac { 1 } { 4 } y ^ { 3 } x ^ { 6 }$ 
A)  $\frac { 3 } { 10 } m ^ { 3 } x ^ { 6 }$ 
B)  $\frac { 3 } { 14 } m ^ { 2 } x ^ { 8 }$ 
C)  $\frac { 3 } { 11 } m ^ { 3 } x ^ { 6 }$ 
D)  $\frac { 3 } { 10 } m ^ { 2 } x ^ { 9 }$ 
E)  $\frac { 1 } { 4 } y ^ { 3 } x ^ { 6 }$

Question 15

Divide. $\frac { 32 x ^ { 19 } } { 24 x ^ { 3 } }$

Accepted Answer

A)  $\frac { 4 } { 3 x ^ { 16 } }$ 
B)  $\frac { 3 x ^ { 22 } } { 4 }$ 
C)  $\frac { 4 x ^ { 16 } } { 3 }$ 
D)  $\frac { 3 x ^ { 16 } } { 4 }$ 
E)  $\frac { 4 x ^ { 22 } } { 3 }$ 
A)  $\frac { 4 } { 3 x ^ { 16 } }$ 
B)  $\frac { 3 x ^ { 22 } } { 4 }$ 
C)  $\frac { 4 x ^ { 16 } } { 3 }$ 
D)  $\frac { 3 x ^ { 16 } } { 4 }$ 
E)  $\frac { 4 x ^ { 22 } } { 3 }$

Question 16

Find the quotient and check. $\left( 12 a ^ { 2 } + 18 a - 12 \right) \div ( 3 a + 6 )$

Accepted Answer

A)  $4 a + 7$ 
B)  $4 a - 5$ 
C)  $4 a + 2$ 
D)  $4 a - 2$ 
E)  $4 a + 8$ 
A)  $4 a + 7$ 
B)  $4 a - 5$ 
C)  $4 a + 2$ 
D)  $4 a - 2$ 
E)  $4 a + 8$

Question 17

Find the quotient and check. $\frac { 24 b ^ { 4 } - 2 b ^ { 3 } + 52 b ^ { 2 } + 24 b - 54 } { 8 b - 6 }$

Accepted Answer

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

Question 18

Use the rule for exponents to simplify the following expression. $\left( 16 m ^ { 2 } \right) ^ { 2 }$

Accepted Answer

A)  $262 \mathrm {~m} ^ { 6 }$ 
B)  $256 \mathrm {~m} ^ { 5 }$ 
C)  $256 \mathrm {~m} ^ { 4 }$ 
D)  $257 q ^ { 4 }$ 
E)  $16 m ^ { 4 }$ 
A)  $262 \mathrm {~m} ^ { 6 }$ 
B)  $256 \mathrm {~m} ^ { 5 }$ 
C)  $256 \mathrm {~m} ^ { 4 }$ 
D)  $257 q ^ { 4 }$ 
E)  $16 m ^ { 4 }$

Question 19

Find the product. $( 6 x - 2 y ) ( 2 x + 3 y )$

Accepted Answer

The answer of Find the product. \(( 6 x -...

Question 20

Divide. $\frac { - 14 a ^ { 8 } b ^ { 3 } } { - 12 a ^ { 4 } b ^ { 8 } }$

Accepted Answer

A)  $\frac { 7 a ^ { 12 } } { 6 b ^ { 11 } }$ 
B)  $\frac { 7 a ^ { 4 } } { 6 b ^ { 5 } }$ 
C)  $\frac { 6 a ^ { 4 } } { 7 b ^ { 5 } }$ 
D)  $\frac { 7 b ^ { 5 } } { 6 a ^ { 4 } }$ 
E)  $\frac { 6 b ^ { 5 } } { 7 a ^ { 4 } }$ 
A)  $\frac { 7 a ^ { 12 } } { 6 b ^ { 11 } }$ 
B)  $\frac { 7 a ^ { 4 } } { 6 b ^ { 5 } }$ 
C)  $\frac { 6 a ^ { 4 } } { 7 b ^ { 5 } }$ 
D)  $\frac { 7 b ^ { 5 } } { 6 a ^ { 4 } }$ 
E)  $\frac { 6 b ^ { 5 } } { 7 a ^ { 4 } }$

Find the product. $\left( - 11 q ^ { 5 } \right) \left( - 8 q ^ { 4 } \right)$

Find the product. $( x - 8 ) ( x - 3 )$

Simplify by first removing the parentheses and then combining the like terms. $( 4.1 x - 5.7 ) - ( - 0.9 x + 7.1 )$

Divide. $\frac { 20 x ^ { 4 } } { - 32 x ^ { 2 } y ^ { 2 } }$

Find the quotient and check. $\left( 2 z ^ { 2 } + 16 z + 14 \right) \div ( z + 7 )$

Find the product. $( x + 1 ) ( x + 9 )$

Divide. $\left( - 58 m ^ { 5 } n \right) \div \left( 29 m ^ { 4 } n \right)$

Find the product. $( 2 x - 3 y + 5 ) ( 4 x - 5 y - 1 )$

Simplify by first removing the parentheses and then combining the like terms. $( x + 8 ) - 4 ( 2 x - 7 )$

Let m = - 3, n = - 2, and k = - 1 and evaluate the expression. $( m - m n ) ^ { 2 } ( k - 3 m )$

Let $X$ = $5$ and $q$ = $4$ , and evaluate the expression. $\frac { 1 } { x } - \frac { 1 } { q } + \frac { 32 } { x q }$

Find the quotient and check. $\frac { 4 b ^ { 3 } + 4 b + 4 } { 2 b - 2 }$

Find the quotient and check. $\frac { 8 m ^ { 3 } + 7 m ^ { 2 } - 11 m + 14 } { m + 2 }$

Find the product. $\left( \frac { 2 } { 3 } m ^ { 2 } x ^ { 4 } \right) \left( \frac { 9 } { 20 } m x ^ { 2 } \right)$

Divide. $\frac { 32 x ^ { 19 } } { 24 x ^ { 3 } }$

Find the quotient and check. $\left( 12 a ^ { 2 } + 18 a - 12 \right) \div ( 3 a + 6 )$

Find the quotient and check. $\frac { 24 b ^ { 4 } - 2 b ^ { 3 } + 52 b ^ { 2 } + 24 b - 54 } { 8 b - 6 }$

Use the rule for exponents to simplify the following expression. $\left( 16 m ^ { 2 } \right) ^ { 2 }$

Find the product. $( 6 x - 2 y ) ( 2 x + 3 y )$

Divide. $\frac { - 14 a ^ { 8 } b ^ { 3 } } { - 12 a ^ { 4 } b ^ { 8 } }$

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. (−11q5)(−8q4)\left( - 11 q ^ { 5 } \right) \left( - 8 q ^ { 4 } \right)(−11q5)(−8q4)

Find the product. (x−8)(x−3)( x - 8 ) ( x - 3 )(x−8)(x−3)

Simplify by first removing the parentheses and then combining the like terms. (4.1x−5.7)−(−0.9x+7.1)( 4.1 x - 5.7 ) - ( - 0.9 x + 7.1 )(4.1x−5.7)−(−0.9x+7.1)

Divide. 20x4−32x2y2\frac { 20 x ^ { 4 } } { - 32 x ^ { 2 } y ^ { 2 } }−32x2y220x4​

Find the quotient and check. (2z2+16z+14)÷(z+7)\left( 2 z ^ { 2 } + 16 z + 14 \right) \div ( z + 7 )(2z2+16z+14)÷(z+7)

Find the product. (x+1)(x+9)( x + 1 ) ( x + 9 )(x+1)(x+9)

Divide. (−58m5n)÷(29m4n)\left( - 58 m ^ { 5 } n \right) \div \left( 29 m ^ { 4 } n \right)(−58m5n)÷(29m4n)

Find the product. (2x−3y+5)(4x−5y−1)( 2 x - 3 y + 5 ) ( 4 x - 5 y - 1 )(2x−3y+5)(4x−5y−1)

Simplify by first removing the parentheses and then combining the like terms. (x+8)−4(2x−7)( x + 8 ) - 4 ( 2 x - 7 )(x+8)−4(2x−7)

Let m = - 3, n = - 2, and k = - 1 and evaluate the expression. (m−mn)2(k−3m)( m - m n ) ^ { 2 } ( k - 3 m )(m−mn)2(k−3m)

Let XXX = 555 and qqq = 444 , and evaluate the expression. 1x−1q+32xq\frac { 1 } { x } - \frac { 1 } { q } + \frac { 32 } { x q }x1​−q1​+xq32​

Find the quotient and check. 4b3+4b+42b−2\frac { 4 b ^ { 3 } + 4 b + 4 } { 2 b - 2 }2b−24b3+4b+4​

Find the quotient and check. 8m3+7m2−11m+14m+2\frac { 8 m ^ { 3 } + 7 m ^ { 2 } - 11 m + 14 } { m + 2 }m+28m3+7m2−11m+14​

Find the product. (23m2x4)(920mx2)\left( \frac { 2 } { 3 } m ^ { 2 } x ^ { 4 } \right) \left( \frac { 9 } { 20 } m x ^ { 2 } \right)(32​m2x4)(209​mx2)

Divide. 32x1924x3\frac { 32 x ^ { 19 } } { 24 x ^ { 3 } }24x332x19​

Find the quotient and check. (12a2+18a−12)÷(3a+6)\left( 12 a ^ { 2 } + 18 a - 12 \right) \div ( 3 a + 6 )(12a2+18a−12)÷(3a+6)

Find the quotient and check. 24b4−2b3+52b2+24b−548b−6\frac { 24 b ^ { 4 } - 2 b ^ { 3 } + 52 b ^ { 2 } + 24 b - 54 } { 8 b - 6 }8b−624b4−2b3+52b2+24b−54​

Use the rule for exponents to simplify the following expression. (16m2)2\left( 16 m ^ { 2 } \right) ^ { 2 }(16m2)2

Find the product. (6x−2y)(2x+3y)( 6 x - 2 y ) ( 2 x + 3 y )(6x−2y)(2x+3y)

Divide. −14a8b3−12a4b8\frac { - 14 a ^ { 8 } b ^ { 3 } } { - 12 a ^ { 4 } b ^ { 8 } }−12a4b8−14a8b3​

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. $\left( - 11 q ^ { 5 } \right) \left( - 8 q ^ { 4 } \right)$

Find the product. $( x - 8 ) ( x - 3 )$

Simplify by first removing the parentheses and then combining the like terms. $( 4.1 x - 5.7 ) - ( - 0.9 x + 7.1 )$

Divide. $\frac { 20 x ^ { 4 } } { - 32 x ^ { 2 } y ^ { 2 } }$

Find the quotient and check. $\left( 2 z ^ { 2 } + 16 z + 14 \right) \div ( z + 7 )$

Find the product. $( x + 1 ) ( x + 9 )$

Divide. $\left( - 58 m ^ { 5 } n \right) \div \left( 29 m ^ { 4 } n \right)$

Find the product. $( 2 x - 3 y + 5 ) ( 4 x - 5 y - 1 )$

Simplify by first removing the parentheses and then combining the like terms. $( x + 8 ) - 4 ( 2 x - 7 )$

Let m = - 3, n = - 2, and k = - 1 and evaluate the expression. $( m - m n ) ^ { 2 } ( k - 3 m )$

Let $X$ = $5$ and $q$ = $4$ , and evaluate the expression. $\frac { 1 } { x } - \frac { 1 } { q } + \frac { 32 } { x q }$

Find the quotient and check. $\frac { 4 b ^ { 3 } + 4 b + 4 } { 2 b - 2 }$

Find the quotient and check. $\frac { 8 m ^ { 3 } + 7 m ^ { 2 } - 11 m + 14 } { m + 2 }$

Find the product. $\left( \frac { 2 } { 3 } m ^ { 2 } x ^ { 4 } \right) \left( \frac { 9 } { 20 } m x ^ { 2 } \right)$

Divide. $\frac { 32 x ^ { 19 } } { 24 x ^ { 3 } }$

Find the quotient and check. $\left( 12 a ^ { 2 } + 18 a - 12 \right) \div ( 3 a + 6 )$

Find the quotient and check. $\frac { 24 b ^ { 4 } - 2 b ^ { 3 } + 52 b ^ { 2 } + 24 b - 54 } { 8 b - 6 }$

Use the rule for exponents to simplify the following expression. $\left( 16 m ^ { 2 } \right) ^ { 2 }$

Find the product. $( 6 x - 2 y ) ( 2 x + 3 y )$

Divide. $\frac { - 14 a ^ { 8 } b ^ { 3 } } { - 12 a ^ { 4 } b ^ { 8 } }$