Question 1

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

Accepted Answer

The answer of Find the difference.
( $3$ - $2 x$...

Question 2

Combine the like terms. $2 x ^ { 2 } + 12 x + 6 x ^ { 2 } - 10 x$

Accepted Answer

A)  8x 2 + 22x 
B)  8x+2 
C)  8x 2 +2x 
D)  8x 2 + 4x 
E)  8x 2 + 8x 
A)  8x 2 + 22x 
B)  8x+2 
C)  8x 2 +2x 
D)  8x 2 + 4x 
E)  8x 2 + 8x

Question 3

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

Accepted Answer

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

Question 4

Divide. $\frac { - 155 r s ^ { 9 } } { - 31 r ^ { 2 } s ^ { 8 } }$

Accepted Answer

A)  $\text { 5rs }$ 
B)  $\frac { 55 } { r }$ 
C)  $- \frac { r } { 5 s }$ 
D)  $\frac { 5 r } { s }$ 
E)  $\frac { 5 s ^ { 2 } } { r }$ 
A)  $\text { 5rs }$ 
B)  $\frac { 55 } { r }$ 
C)  $- \frac { r } { 5 s }$ 
D)  $\frac { 5 r } { s }$ 
E)  $\frac { 5 s ^ { 2 } } { r }$

Question 5

Use the rule for exponents to simplify the following expression. $\left( 3 y ^ { 4 } \right) ^ { 3 }$

Accepted Answer

The answer of Use the rule for exponents to simplify...

Question 6

Combine the like terms. $5 x ^ { 2 } y - 3 x y - y ^ { 2 } - 6 x ^ { 2 } - 3 x ^ { 2 } y + 3 y ^ { 2 }$

Accepted Answer

The answer of Combine the like terms. \(5 x ^...

Question 7

Divide. $\frac { 54 x ^ { 2 } y ^ { 3 } + 18 x ^ { 3 } y ^ { 4 } - 6 x y ^ { 3 } } { 3 x y ^ { 3 } }$

Accepted Answer

The answer of Divide. \(\frac { 54 x ^ {...

Question 8

Find the product. $5 \left( a ^ { 2 } - 2 \right)$

Accepted Answer

The answer of Find the product. \(5 \left( a ^...

Question 9

Simplify by first removing the parentheses and then combining the like terms. $2 x - 7 ( 3 - x )$

Accepted Answer

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

Question 10

Find the quotient and check. $\left( 24 z ^ { 3 } - 46 z ^ { 2 } - 38 z + 12 \right) \div ( 8 z - 2 )$

Accepted Answer

A)  $10 z ^ { 2 } + 11 z - 12$ 
B)  $3 z ^ { 2 } - 5 z + 6$ 
C)  $4 z ^ { 2 } + 6 z - 7$ 
D)  $3 z ^ { 2 } - 5 z - 6$ 
E)  $7 z ^ { 2 } + 10 z - 10$ 
A)  $10 z ^ { 2 } + 11 z - 12$ 
B)  $3 z ^ { 2 } - 5 z + 6$ 
C)  $4 z ^ { 2 } + 6 z - 7$ 
D)  $3 z ^ { 2 } - 5 z - 6$ 
E)  $7 z ^ { 2 } + 10 z - 10$

Question 11

Evaluate the expression when x = -1 and q = - 2. $\left( 2 x ^ { 3 } q ^ { 2 } \right) ^ { 3 }$

Accepted Answer

A)  -503 
B)  -456 
C)  -521 
D)  -512 
E)  -568 
A)  -503 
B)  -456 
C)  -521 
D)  -512 
E)  -568

Question 12

Divide. $\frac { 1 - 10 z ^ { 2 } - 8 z ^ { 4 } } { 2 z ^ { 2 } }$

Accepted Answer

A)  $\frac { 1 } { 2 z ^ { 2 } } - 4 z ^ { 2 }$ 
B)  $\frac { 1 } { 2 z ^ { 2 } } - 5 z ^ { 4 } - 4 z ^ { 2 }$ 
C)  $\frac { 1 } { 2 z ^ { 2 } } - 4$ 
D)  $\frac { 1 } { 2 z ^ { 2 } } - 5 - 4 z ^ { 2 }$ 
E)  $\frac { 1 } { 2 z } - 5 - 4 z ^ { 2 }$ 
A)  $\frac { 1 } { 2 z ^ { 2 } } - 4 z ^ { 2 }$ 
B)  $\frac { 1 } { 2 z ^ { 2 } } - 5 z ^ { 4 } - 4 z ^ { 2 }$ 
C)  $\frac { 1 } { 2 z ^ { 2 } } - 4$ 
D)  $\frac { 1 } { 2 z ^ { 2 } } - 5 - 4 z ^ { 2 }$ 
E)  $\frac { 1 } { 2 z } - 5 - 4 z ^ { 2 }$

Question 13

Remove the parentheses from the expression and simplify. $( - 5 x - 3 y - 2 ) - ( 6 z - 3 w - 5 )$

Accepted Answer

A)  -5x - 3y - 6z - 3w + 3 
B)  -5x - 3y - 6z + 3w + 7 
C)  -5x - 3y - 6z + 3w - 7 
D)  -5x - 3y - 6z + 3w + 3 
E)  -5x - 3y - 6z - 3w - 7 
A)  -5x - 3y - 6z - 3w + 3 
B)  -5x - 3y - 6z + 3w + 7 
C)  -5x - 3y - 6z + 3w - 7 
D)  -5x - 3y - 6z + 3w + 3 
E)  -5x - 3y - 6z - 3w - 7

Question 14

Find the product. $\left( d ^ { 5 } - d ^ { 4 } + d ^ { 3 } - d ^ { 2 } + d - 1 \right) ( d + 1 )$

Accepted Answer

A)  $d ^ { 6 } + 1$ 
B)  $d ^ { 5 } - 1$ 
C)  $d ^ { 6 }$ 
D)  $d ^ { 6 } - 1$ 
E)  $d ^ { 5 } + 1$ 
A)  $d ^ { 6 } + 1$ 
B)  $d ^ { 5 } - 1$ 
C)  $d ^ { 6 }$ 
D)  $d ^ { 6 } - 1$ 
E)  $d ^ { 5 } + 1$

Question 15

Find the quotient and check. $\frac { 12 m ^ { 2 } - 7 m - 12 } { 3 m - 4 }$

Accepted Answer

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

Question 16

Let $p$ = $4$ , $y$ = $2$ and evaluate the expression. $( 2 p - 3 y ) ( 2 y + 2 p )$

Accepted Answer

The answer of Let $p$ = $4$ , $y$ =...

Question 17

Remove the parentheses from the expression. $( 2 x + 4 ) + ( 3 y + 4 r )$

Accepted Answer

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

Question 18

Find the product. $c ( 7 a + b + 3 c )$

Accepted Answer

The answer of Find the product. \(c ( 7 a...

Question 19

Find the quotient and check. $\frac { 2 a ^ { 3 } + 3 a ^ { 2 } - 81 } { a - 3 }$

Accepted Answer

A)  $2 a ^ { 2 } - 9 a + 27$ 
B)  $2 a ^ { 2 } + 9 a + 27$ 
C)  $3 a ^ { 2 } + 14 a + 32$ 
D)  $4 a ^ { 2 } + 11 a - 29$ 
E)  $3 a ^ { 2 } + 16 a - 34$ 
A)  $2 a ^ { 2 } - 9 a + 27$ 
B)  $2 a ^ { 2 } + 9 a + 27$ 
C)  $3 a ^ { 2 } + 14 a + 32$ 
D)  $4 a ^ { 2 } + 11 a - 29$ 
E)  $3 a ^ { 2 } + 16 a - 34$

Question 20

Simplify by first removing the parentheses and then combining the like terms. $7 x - ( 3 - 5 x )$

Accepted Answer

A)  2x - 3 
B)  12x - 3 
C)  15x 
D)  12x - 8 
E)  3x - 12 
A)  2x - 3 
B)  12x - 3 
C)  15x 
D)  12x - 8 
E)  3x - 12

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

Combine the like terms. $2 x ^ { 2 } + 12 x + 6 x ^ { 2 } - 10 x$

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

Divide. $\frac { - 155 r s ^ { 9 } } { - 31 r ^ { 2 } s ^ { 8 } }$

Use the rule for exponents to simplify the following expression. $\left( 3 y ^ { 4 } \right) ^ { 3 }$

Combine the like terms. $5 x ^ { 2 } y - 3 x y - y ^ { 2 } - 6 x ^ { 2 } - 3 x ^ { 2 } y + 3 y ^ { 2 }$

Divide. $\frac { 54 x ^ { 2 } y ^ { 3 } + 18 x ^ { 3 } y ^ { 4 } - 6 x y ^ { 3 } } { 3 x y ^ { 3 } }$

Find the product. $5 \left( a ^ { 2 } - 2 \right)$

Simplify by first removing the parentheses and then combining the like terms. $2 x - 7 ( 3 - x )$

Find the quotient and check. $\left( 24 z ^ { 3 } - 46 z ^ { 2 } - 38 z + 12 \right) \div ( 8 z - 2 )$

Evaluate the expression when x = -1 and q = - 2. $\left( 2 x ^ { 3 } q ^ { 2 } \right) ^ { 3 }$

Divide. $\frac { 1 - 10 z ^ { 2 } - 8 z ^ { 4 } } { 2 z ^ { 2 } }$

Remove the parentheses from the expression and simplify. $( - 5 x - 3 y - 2 ) - ( 6 z - 3 w - 5 )$

Find the product. $\left( d ^ { 5 } - d ^ { 4 } + d ^ { 3 } - d ^ { 2 } + d - 1 \right) ( d + 1 )$

Find the quotient and check. $\frac { 12 m ^ { 2 } - 7 m - 12 } { 3 m - 4 }$

Let $p$ = $4$ , $y$ = $2$ and evaluate the expression. $( 2 p - 3 y ) ( 2 y + 2 p )$

Remove the parentheses from the expression. $( 2 x + 4 ) + ( 3 y + 4 r )$

Find the product. $c ( 7 a + b + 3 c )$

Find the quotient and check. $\frac { 2 a ^ { 3 } + 3 a ^ { 2 } - 81 } { a - 3 }$

Simplify by first removing the parentheses and then combining the like terms. $7 x - ( 3 - 5 x )$

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 difference. ( 333 - 2x2 x2x - 4x24 x ^ { 2 }4x2 ) - ( −3- 3−3 - 4x4 x4x + x2x ^ { 2 }x2 )

Combine the like terms. 2x2+12x+6x2−10x2 x ^ { 2 } + 12 x + 6 x ^ { 2 } - 10 x2x2+12x+6x2−10x

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

Divide. −155rs9−31r2s8\frac { - 155 r s ^ { 9 } } { - 31 r ^ { 2 } s ^ { 8 } }−31r2s8−155rs9​

Use the rule for exponents to simplify the following expression. (3y4)3\left( 3 y ^ { 4 } \right) ^ { 3 }(3y4)3

Combine the like terms. 5x2y−3xy−y2−6x2−3x2y+3y25 x ^ { 2 } y - 3 x y - y ^ { 2 } - 6 x ^ { 2 } - 3 x ^ { 2 } y + 3 y ^ { 2 }5x2y−3xy−y2−6x2−3x2y+3y2

Divide. 54x2y3+18x3y4−6xy33xy3\frac { 54 x ^ { 2 } y ^ { 3 } + 18 x ^ { 3 } y ^ { 4 } - 6 x y ^ { 3 } } { 3 x y ^ { 3 } }3xy354x2y3+18x3y4−6xy3​

Find the product. 5(a2−2)5 \left( a ^ { 2 } - 2 \right)5(a2−2)

Simplify by first removing the parentheses and then combining the like terms. 2x−7(3−x)2 x - 7 ( 3 - x )2x−7(3−x)

Find the quotient and check. (24z3−46z2−38z+12)÷(8z−2)\left( 24 z ^ { 3 } - 46 z ^ { 2 } - 38 z + 12 \right) \div ( 8 z - 2 )(24z3−46z2−38z+12)÷(8z−2)

Evaluate the expression when x = -1 and q = - 2. (2x3q2)3\left( 2 x ^ { 3 } q ^ { 2 } \right) ^ { 3 }(2x3q2)3

Divide. 1−10z2−8z42z2\frac { 1 - 10 z ^ { 2 } - 8 z ^ { 4 } } { 2 z ^ { 2 } }2z21−10z2−8z4​

Remove the parentheses from the expression and simplify. (−5x−3y−2)−(6z−3w−5)( - 5 x - 3 y - 2 ) - ( 6 z - 3 w - 5 )(−5x−3y−2)−(6z−3w−5)

Find the product. (d5−d4+d3−d2+d−1)(d+1)\left( d ^ { 5 } - d ^ { 4 } + d ^ { 3 } - d ^ { 2 } + d - 1 \right) ( d + 1 )(d5−d4+d3−d2+d−1)(d+1)

Find the quotient and check. 12m2−7m−123m−4\frac { 12 m ^ { 2 } - 7 m - 12 } { 3 m - 4 }3m−412m2−7m−12​

Let ppp = 444 , yyy = 222 and evaluate the expression. (2p−3y)(2y+2p)( 2 p - 3 y ) ( 2 y + 2 p )(2p−3y)(2y+2p)

Remove the parentheses from the expression. (2x+4)+(3y+4r)( 2 x + 4 ) + ( 3 y + 4 r )(2x+4)+(3y+4r)

Find the product. c(7a+b+3c)c ( 7 a + b + 3 c )c(7a+b+3c)

Find the quotient and check. 2a3+3a2−81a−3\frac { 2 a ^ { 3 } + 3 a ^ { 2 } - 81 } { a - 3 }a−32a3+3a2−81​

Simplify by first removing the parentheses and then combining the like terms. 7x−(3−5x)7 x - ( 3 - 5 x )7x−(3−5x)

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 difference. ( $3$ - $2 x$ - $4 x ^ { 2 }$ ) - ( $- 3$ - $4 x$ + $x ^ { 2 }$ )

Combine the like terms. $2 x ^ { 2 } + 12 x + 6 x ^ { 2 } - 10 x$

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

Divide. $\frac { - 155 r s ^ { 9 } } { - 31 r ^ { 2 } s ^ { 8 } }$

Use the rule for exponents to simplify the following expression. $\left( 3 y ^ { 4 } \right) ^ { 3 }$

Combine the like terms. $5 x ^ { 2 } y - 3 x y - y ^ { 2 } - 6 x ^ { 2 } - 3 x ^ { 2 } y + 3 y ^ { 2 }$

Divide. $\frac { 54 x ^ { 2 } y ^ { 3 } + 18 x ^ { 3 } y ^ { 4 } - 6 x y ^ { 3 } } { 3 x y ^ { 3 } }$

Find the product. $5 \left( a ^ { 2 } - 2 \right)$

Simplify by first removing the parentheses and then combining the like terms. $2 x - 7 ( 3 - x )$

Find the quotient and check. $\left( 24 z ^ { 3 } - 46 z ^ { 2 } - 38 z + 12 \right) \div ( 8 z - 2 )$

Evaluate the expression when x = -1 and q = - 2. $\left( 2 x ^ { 3 } q ^ { 2 } \right) ^ { 3 }$

Divide. $\frac { 1 - 10 z ^ { 2 } - 8 z ^ { 4 } } { 2 z ^ { 2 } }$

Remove the parentheses from the expression and simplify. $( - 5 x - 3 y - 2 ) - ( 6 z - 3 w - 5 )$

Find the product. $\left( d ^ { 5 } - d ^ { 4 } + d ^ { 3 } - d ^ { 2 } + d - 1 \right) ( d + 1 )$

Find the quotient and check. $\frac { 12 m ^ { 2 } - 7 m - 12 } { 3 m - 4 }$

Let $p$ = $4$ , $y$ = $2$ and evaluate the expression. $( 2 p - 3 y ) ( 2 y + 2 p )$

Remove the parentheses from the expression. $( 2 x + 4 ) + ( 3 y + 4 r )$

Find the product. $c ( 7 a + b + 3 c )$

Find the quotient and check. $\frac { 2 a ^ { 3 } + 3 a ^ { 2 } - 81 } { a - 3 }$

Simplify by first removing the parentheses and then combining the like terms. $7 x - ( 3 - 5 x )$