Question 1

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

Accepted Answer

The answer of Find the product. \(\left( - 3 q...

Question 2

Simplify by first removing the parentheses and then combining the like terms. $7 - ( y + 9 ) + ( 6 y - 5 )$

Accepted Answer

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

Question 3

Let n = 2 and p = 4, and evaluate the expression. $5 n ^ { 2 } - 7 p ^ { 2 }$

Accepted Answer

The answer of Let n = 2 and p =...

Question 4

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

Accepted Answer

A)  6,912 
B)  -13,824 
C)  -6,912 
D)  13,824 
A)  6,912 
B)  -13,824 
C)  -6,912 
D)  13,824

Question 5

Add. $( 7 b - 9 ) + 2 b + ( - 2 b - 6 )$

Accepted Answer

A)  11b + 3 
B)  3b - 15 
C)  7b + 3 
D)  11b - 15 
E)  7b - 15 
A)  11b + 3 
B)  3b - 15 
C)  7b + 3 
D)  11b - 15 
E)  7b - 15

Question 6

Rearrange the polynomial in decreasing order; state the degree of the polynomial. $7 x ^ { 3 }$ + $9$ - $4 x$ + $9 x ^ { 5 }$

Accepted Answer

A)  4th 
B)  5th 
C)  9x 5 + 7x 3 - 4x + 9 
D)  6th 
E)  7x 3 - 4x + 9x 5 + 9
F) 9 - 4x + 7x 3 + 9x 5 
A)  4th 
B)  5th 
C)  9x 5 + 7x 3 - 4x + 9 
D)  6th 
E)  7x 3 - 4x + 9x 5 + 9
F) 9 - 4x + 7x 3 + 9x 5

Question 7

Let $n$ = $7$ and $p$ = $2$ and evaluate the expression. $32 n - 36 p$

Accepted Answer

A)  152 
B)  476 
C)  -296 
D)  -136 
E)  -160 
A)  152 
B)  476 
C)  -296 
D)  -136 
E)  -160

Question 8

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

Accepted Answer

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

Question 9

Find the quotient and check. $\frac { 24 b ^ { 4 } + 53 b ^ { 3 } - 28 b ^ { 2 } + 69 b - 54 } { 8 b ^ { 2 } - b + 9 }$

Accepted Answer

A)  $5 b ^ { 2 } + 8 b + 9$ 
B)  $3 b ^ { 2 } + 7 b - 6$ 
C)  $3 b ^ { 2 } + 12 b - 10$ 
D)  $3 b ^ { 2 } - 12 b - 6$ 
E)  $3 b ^ { 2 } - 14 b - 13$ 
A)  $5 b ^ { 2 } + 8 b + 9$ 
B)  $3 b ^ { 2 } + 7 b - 6$ 
C)  $3 b ^ { 2 } + 12 b - 10$ 
D)  $3 b ^ { 2 } - 12 b - 6$ 
E)  $3 b ^ { 2 } - 14 b - 13$

Question 10

Find quotient and check. $\left( 2 y ^ { 3 } - 13 y ^ { 2 } + 17 y + 12 \right) \div ( y - 4 )$

Accepted Answer

A)  $2 y ^ { 2 } + 5 y - 3$ 
B)  $2 y ^ { 2 } - 5 y - 3$ 
C)  $8 y ^ { 2 } + 12 y - 10$ 
D)  $4 y ^ { 2 } + 7 y - 4$ 
E)  $6 y ^ { 2 } - 9 y - 8$ 
A)  $2 y ^ { 2 } + 5 y - 3$ 
B)  $2 y ^ { 2 } - 5 y - 3$ 
C)  $8 y ^ { 2 } + 12 y - 10$ 
D)  $4 y ^ { 2 } + 7 y - 4$ 
E)  $6 y ^ { 2 } - 9 y - 8$

Question 11

Divide. $\frac { 224 x ^ { 4 } y ^ { 2 } z ^ { 3 } - 168 x ^ { 3 } y ^ { 3 } z ^ { 4 } - 112 x y ^ { 4 } z ^ { 2 } } { 28 x y ^ { 2 } z ^ { 2 } }$

Accepted Answer

A)  $8 x ^ { 3 } z - 6 x y ^ { 2 } z ^ { 2 } - 4 y ^ { 4 }$ 
B)  $8 x ^ { 3 } z - 6 x y ^ { 2 } z ^ { 2 } + 4 y ^ { 4 }$ 
C)  $8 x ^ { 3 } z ^ { 3 } - 6 x ^ { 2 } y z ^ { 2 } - 4 y$ 
D)  $8 x ^ { 3 } z - 6 x ^ { 2 } y z ^ { 2 } - 4 y ^ { 2 }$ 
E)  $8 x ^ { 2 } z - 6 x ^ { 3 } y z ^ { 2 } + 4 y ^ { 2 }$ 
A)  $8 x ^ { 3 } z - 6 x y ^ { 2 } z ^ { 2 } - 4 y ^ { 4 }$ 
B)  $8 x ^ { 3 } z - 6 x y ^ { 2 } z ^ { 2 } + 4 y ^ { 4 }$ 
C)  $8 x ^ { 3 } z ^ { 3 } - 6 x ^ { 2 } y z ^ { 2 } - 4 y$ 
D)  $8 x ^ { 3 } z - 6 x ^ { 2 } y z ^ { 2 } - 4 y ^ { 2 }$ 
E)  $8 x ^ { 2 } z - 6 x ^ { 3 } y z ^ { 2 } + 4 y ^ { 2 }$

Question 12

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

Accepted Answer

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

Question 13

Combine the like terms. $7 x + 4.9 x - 17.8 x + 6.6 x$

Accepted Answer

A)  36.3x 
B)  5.6x 
C)  29.7x 
D)  26.5x 
E)  0.7x 
A)  36.3x 
B)  5.6x 
C)  29.7x 
D)  26.5x 
E)  0.7x

Question 14

Simplify by first removing the parentheses and then combining the like terms. $- 14 \left( 8 x ^ { 2 } - 2 y ^ { 2 } \right)$

Accepted Answer

A)  112x 2 + 28y 2 
B)  -112x 2 + 28y 2 
C)  28x 2 - 112y 2 
D)  -28x 2 + 112y 2 
E)  -112x + 28y 
A)  112x 2 + 28y 2 
B)  -112x 2 + 28y 2 
C)  28x 2 - 112y 2 
D)  -28x 2 + 112y 2 
E)  -112x + 28y

Question 15

Divide. $\left( 12 b ^ { 3 } - 36 b ^ { 2 } - 3 b \right) \div ( - 3 b )$

Accepted Answer

A)  $4 b ^ { 2 } - 12 b + 1$ 
B)  $- 4 b ^ { 2 } + 12 b + 1$ 
C)  $b ^ { 2 }$ 
D)  $b + 1$ 
E)  $b ^ { 14 } + b ^ { 13 } + b ^ { 12 }$ 
A)  $4 b ^ { 2 } - 12 b + 1$ 
B)  $- 4 b ^ { 2 } + 12 b + 1$ 
C)  $b ^ { 2 }$ 
D)  $b + 1$ 
E)  $b ^ { 14 } + b ^ { 13 } + b ^ { 12 }$

Question 16

Evaluate the expression when $m = 2$ $\left( 7 m ^ { 4 } \right) ( - 6 m )$

Accepted Answer

A)  -1,344 
B)  -1,400 
C)  -1,345 
D)  -115,248 
E)  -1,288 
A)  -1,344 
B)  -1,400 
C)  -1,345 
D)  -115,248 
E)  -1,288

Question 17

Divide. $\frac { b z ^ { 4 } - b z ^ { 3 } + b z ^ { 2 } - 4 b z } { - b z }$

Accepted Answer

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

Question 18

Find the product. $\left( - 2 x ^ { 2 } z ^ { 2 } q ^ { 3 } \right) \left( 2 x ^ { 6 } q ^ { 3 } \right)$

Accepted Answer

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

Question 19

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

Accepted Answer

A)  $y ^ { 8 }$ 
B)  $q ^ { 8 }$ 
C)  $q ^ { 7 }$ 
D)  $y ^ { 6 }$ 
E)  $q ^ { 15 }$ 
A)  $y ^ { 8 }$ 
B)  $q ^ { 8 }$ 
C)  $q ^ { 7 }$ 
D)  $y ^ { 6 }$ 
E)  $q ^ { 15 }$

Question 20

Find the product. $- 2 x \left( 4 x ^ { 2 } - 7 x - 9 \right)$

Accepted Answer

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

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

Simplify by first removing the parentheses and then combining the like terms. $7 - ( y + 9 ) + ( 6 y - 5 )$

Let n = 2 and p = 4, and evaluate the expression. $5 n ^ { 2 } - 7 p ^ { 2 }$

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

Add. $( 7 b - 9 ) + 2 b + ( - 2 b - 6 )$

Rearrange the polynomial in decreasing order; state the degree of the polynomial. $7 x ^ { 3 }$ + $9$ - $4 x$ + $9 x ^ { 5 }$

Let $n$ = $7$ and $p$ = $2$ and evaluate the expression. $32 n - 36 p$

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

Find the quotient and check. $\frac { 24 b ^ { 4 } + 53 b ^ { 3 } - 28 b ^ { 2 } + 69 b - 54 } { 8 b ^ { 2 } - b + 9 }$

Find quotient and check. $\left( 2 y ^ { 3 } - 13 y ^ { 2 } + 17 y + 12 \right) \div ( y - 4 )$

Divide. $\frac { 224 x ^ { 4 } y ^ { 2 } z ^ { 3 } - 168 x ^ { 3 } y ^ { 3 } z ^ { 4 } - 112 x y ^ { 4 } z ^ { 2 } } { 28 x y ^ { 2 } z ^ { 2 } }$

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

Combine the like terms. $7 x + 4.9 x - 17.8 x + 6.6 x$

Simplify by first removing the parentheses and then combining the like terms. $- 14 \left( 8 x ^ { 2 } - 2 y ^ { 2 } \right)$

Divide. $\left( 12 b ^ { 3 } - 36 b ^ { 2 } - 3 b \right) \div ( - 3 b )$

Evaluate the expression when $m = 2$ $\left( 7 m ^ { 4 } \right) ( - 6 m )$

Divide. $\frac { b z ^ { 4 } - b z ^ { 3 } + b z ^ { 2 } - 4 b z } { - b z }$

Find the product. $\left( - 2 x ^ { 2 } z ^ { 2 } q ^ { 3 } \right) \left( 2 x ^ { 6 } q ^ { 3 } \right)$

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

Find the product. $- 2 x \left( 4 x ^ { 2 } - 7 x - 9 \right)$

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. (−3q3)(−3q3)\left( - 3 q ^ { 3 } \right) \left( - 3 q ^ { 3 } \right)(−3q3)(−3q3)

Simplify by first removing the parentheses and then combining the like terms. 7−(y+9)+(6y−5)7 - ( y + 9 ) + ( 6 y - 5 )7−(y+9)+(6y−5)

Let n = 2 and p = 4, and evaluate the expression. 5n2−7p25 n ^ { 2 } - 7 p ^ { 2 }5n2−7p2

Let n = 3 and p = 3 and r = 4, and evaluate the expression. (n3−3p3)r3\left( n ^ { 3 } - 3 p ^ { 3 } \right) r ^ { 3 }(n3−3p3)r3

Add. (7b−9)+2b+(−2b−6)( 7 b - 9 ) + 2 b + ( - 2 b - 6 )(7b−9)+2b+(−2b−6)

Rearrange the polynomial in decreasing order; state the degree of the polynomial. 7x37 x ^ { 3 }7x3 + 999 - 4x4 x4x + 9x59 x ^ { 5 }9x5

Let nnn = 777 and ppp = 222 and evaluate the expression. 32n−36p32 n - 36 p32n−36p

Remove the parentheses from the expression and simplify. (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. 24b4+53b3−28b2+69b−548b2−b+9\frac { 24 b ^ { 4 } + 53 b ^ { 3 } - 28 b ^ { 2 } + 69 b - 54 } { 8 b ^ { 2 } - b + 9 }8b2−b+924b4+53b3−28b2+69b−54​

Find quotient and check. (2y3−13y2+17y+12)÷(y−4)\left( 2 y ^ { 3 } - 13 y ^ { 2 } + 17 y + 12 \right) \div ( y - 4 )(2y3−13y2+17y+12)÷(y−4)

Divide. 224x4y2z3−168x3y3z4−112xy4z228xy2z2\frac { 224 x ^ { 4 } y ^ { 2 } z ^ { 3 } - 168 x ^ { 3 } y ^ { 3 } z ^ { 4 } - 112 x y ^ { 4 } z ^ { 2 } } { 28 x y ^ { 2 } z ^ { 2 } }28xy2z2224x4y2z3−168x3y3z4−112xy4z2​

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

Combine the like terms. 7x+4.9x−17.8x+6.6x7 x + 4.9 x - 17.8 x + 6.6 x7x+4.9x−17.8x+6.6x

Simplify by first removing the parentheses and then combining the like terms. −14(8x2−2y2)- 14 \left( 8 x ^ { 2 } - 2 y ^ { 2 } \right)−14(8x2−2y2)

Divide. (12b3−36b2−3b)÷(−3b)\left( 12 b ^ { 3 } - 36 b ^ { 2 } - 3 b \right) \div ( - 3 b )(12b3−36b2−3b)÷(−3b)

Evaluate the expression when m=2m = 2m=2 (7m4)(−6m)\left( 7 m ^ { 4 } \right) ( - 6 m )(7m4)(−6m)

Divide. bz4−bz3+bz2−4bz−bz\frac { b z ^ { 4 } - b z ^ { 3 } + b z ^ { 2 } - 4 b z } { - b z }−bzbz4−bz3+bz2−4bz​

Find the product. (−2x2z2q3)(2x6q3)\left( - 2 x ^ { 2 } z ^ { 2 } q ^ { 3 } \right) \left( 2 x ^ { 6 } q ^ { 3 } \right)(−2x2z2q3)(2x6q3)

Use the rule for exponents to simplify the following expression. (q5)3\left( q ^ { 5 } \right) ^ { 3 }(q5)3

Find the product. −2x(4x2−7x−9)- 2 x \left( 4 x ^ { 2 } - 7 x - 9 \right)−2x(4x2−7x−9)

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. $\left( - 3 q ^ { 3 } \right) \left( - 3 q ^ { 3 } \right)$

Simplify by first removing the parentheses and then combining the like terms. $7 - ( y + 9 ) + ( 6 y - 5 )$

Let n = 2 and p = 4, and evaluate the expression. $5 n ^ { 2 } - 7 p ^ { 2 }$

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

Add. $( 7 b - 9 ) + 2 b + ( - 2 b - 6 )$

Rearrange the polynomial in decreasing order; state the degree of the polynomial. $7 x ^ { 3 }$ + $9$ - $4 x$ + $9 x ^ { 5 }$

Let $n$ = $7$ and $p$ = $2$ and evaluate the expression. $32 n - 36 p$

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

Find the quotient and check. $\frac { 24 b ^ { 4 } + 53 b ^ { 3 } - 28 b ^ { 2 } + 69 b - 54 } { 8 b ^ { 2 } - b + 9 }$

Find quotient and check. $\left( 2 y ^ { 3 } - 13 y ^ { 2 } + 17 y + 12 \right) \div ( y - 4 )$

Divide. $\frac { 224 x ^ { 4 } y ^ { 2 } z ^ { 3 } - 168 x ^ { 3 } y ^ { 3 } z ^ { 4 } - 112 x y ^ { 4 } z ^ { 2 } } { 28 x y ^ { 2 } z ^ { 2 } }$

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

Combine the like terms. $7 x + 4.9 x - 17.8 x + 6.6 x$

Simplify by first removing the parentheses and then combining the like terms. $- 14 \left( 8 x ^ { 2 } - 2 y ^ { 2 } \right)$

Divide. $\left( 12 b ^ { 3 } - 36 b ^ { 2 } - 3 b \right) \div ( - 3 b )$

Evaluate the expression when $m = 2$ $\left( 7 m ^ { 4 } \right) ( - 6 m )$

Divide. $\frac { b z ^ { 4 } - b z ^ { 3 } + b z ^ { 2 } - 4 b z } { - b z }$

Find the product. $\left( - 2 x ^ { 2 } z ^ { 2 } q ^ { 3 } \right) \left( 2 x ^ { 6 } q ^ { 3 } \right)$

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

Find the product. $- 2 x \left( 4 x ^ { 2 } - 7 x - 9 \right)$