Question 1

Find the product by using the shortcut pattern for multiplying binomials. $( 6 n - 7 ) ( 2 n - 9 )$

Accepted Answer

The answer of Find the product by using the shortcut...

Question 2

Find the indicated product by applying the distributive property. ( x + 7)( y + 4)

Accepted Answer

A)  xy + 4 x + 7 y + 7 
B)  xy + 4 x + 7 y + 4 
C)  xy + 7 x + 4 y + 28 
D)  xy + 4 x + 7 y + 28 
E)  none of these 
A)  xy + 4 x + 7 y + 7 
B)  xy + 4 x + 7 y + 4 
C)  xy + 7 x + 4 y + 28 
D)  xy + 4 x + 7 y + 28 
E)  none of these

Question 3

Perform the division. $\left( 5 n ^ { 2 } - 19 n - 30 \right) \div ( n - 5 )$

Accepted Answer

A)  6 $-$ 5 n 
B)  6 n + 5 
C)  6 n $-$ 5 
D)  5 n $-$ 6 
E)  5 n + 6 
A)  6 $-$ 5 n 
B)  6 n + 5 
C)  6 n $-$ 5 
D)  5 n $-$ 6 
E)  5 n + 6

Question 4

Find $( x + 8 ) ^ { 3 }$ . Don t forget that $( x + 8 ) ^ { 3 }$ means ( x + 8)( x + 8)( x + 8).

Accepted Answer

The answer of Find \(( x + 8 ) ^...

Question 5

Evaluate the following numerical expression. $4 ^ { - 8 } \cdot 4 ^ { 10 }$

Accepted Answer

The answer of Evaluate the following numerical expression. \(4 ^...

Question 6

The sum of a monomial and a binomial is always a trinomial.

Accepted Answer

A) True 
 B)False

Question 7

Find the indicated product by applying the distributive property and combining similar terms. ( x + 3) ( x + 2)

Accepted Answer

A)  $x ^ { 2 } + 6 x + 6$ 
B)  $x ^ { 2 } + 5 x$ 
C)  $6 x + 6$ 
D)  $x ^ { 2 } + 5 x + 6$ 
E)  $x ^ { 2 } + 2 x + 6$ 
A)  $x ^ { 2 } + 6 x + 6$ 
B)  $x ^ { 2 } + 5 x$ 
C)  $6 x + 6$ 
D)  $x ^ { 2 } + 5 x + 6$ 
E)  $x ^ { 2 } + 2 x + 6$

Question 8

Use scientific notation and the properties of exponents to evaluate the following numerical expression. $( 0.009 ) ( 170 )$

Accepted Answer

A)  $0.153$ 
B)  $153$ 
C)  $1.53$ 
D)  $15.3$ 
E)  $0.0153$ 
A)  $0.153$ 
B)  $153$ 
C)  $1.53$ 
D)  $15.3$ 
E)  $0.0153$

Question 9

Multiply. $( 4 c d ) \left( - 9 c ^ { 5 } d \right) ( - 5 d )$

Accepted Answer

The answer of Multiply. \(( 4 c d ) \left(...

Question 10

Remove the parentheses by multiplying and then simplify by combining similar terms. $- 2 ( 9 x + 7 ) - 9 [ 3 x - ( 4 x + 1 ) ]$

Accepted Answer

The answer of Remove the parentheses by multiplying and then...

Question 11

Subtract the polynomials using a horizontal format. $8 x + 17 \text { from } 4 x + 5$

Accepted Answer

A)  $- 4 x + 12$ 
B)  $- 4 x - 12$ 
C)  $12 x + 22$ 
D)  $4 x + 12$ 
E)  $4 x - 12$ 
A)  $- 4 x + 12$ 
B)  $- 4 x - 12$ 
C)  $12 x + 22$ 
D)  $4 x + 12$ 
E)  $4 x - 12$

Question 12

Match the corresponding statements.
-$16 x ^ { 2 }$

Accepted Answer

A)  area of the square with the side 4 x 
B)  perimeter of the rectangle with the sides 3 x + 9 and x + 4 
A)  area of the square with the side 4 x 
B)  perimeter of the rectangle with the sides 3 x + 9 and x + 4

Question 13

Multiply. $$\left( \frac { 1 } { 5 } x y \right) \left( \frac { 5 } { 3 } x ^ { 4 } y ^ { 4 } \right)$$

Accepted Answer

A)  $\frac { 1 } { 3 } x ^ { 5 } y ^ { 6 }$ 
B)  $\frac { 1 } { 3 } x ^ { 5 } y ^ { 4 }$ 
C)  $\frac { 1 } { 3 } x ^ { 4 } y ^ { 5 }$ 
D)  $\frac { 1 } { 3 } x ^ { 4 } y ^ { 4 }$ 
E)  $\frac { 1 } { 3 } x ^ { 5 } y ^ { 5 }$ 
A)  $\frac { 1 } { 3 } x ^ { 5 } y ^ { 6 }$ 
B)  $\frac { 1 } { 3 } x ^ { 5 } y ^ { 4 }$ 
C)  $\frac { 1 } { 3 } x ^ { 4 } y ^ { 5 }$ 
D)  $\frac { 1 } { 3 } x ^ { 4 } y ^ { 4 }$ 
E)  $\frac { 1 } { 3 } x ^ { 5 } y ^ { 5 }$

Question 14

Perform the division. $\left( 12 y ^ { 2 } - 25 y - 7 \right) \div ( 4 y + 1 )$

Accepted Answer

A)  3 y + 7 
B)  3 y $-$ 7 
C)  7 y + 3 
D)  7 y $-$ 3 
E)  3 $-$ 7 y 
A)  3 y + 7 
B)  3 y $-$ 7 
C)  7 y + 3 
D)  7 y $-$ 3 
E)  3 $-$ 7 y

Question 15

Multiply the following. $( 6 c d ) \left( - 9 c ^ { 3 } d \right) ( - 4 d )$ Enter your answer as $a c ^ { b } d ^ { e }$ where a , b , e are numbers and c , d are variables.

Accepted Answer

The answer of Multiply the following. \(( 6 c d...

Question 16

Multiply by using the distributive property. $3 x ( 4 x + 8 )$

Accepted Answer

The answer of Multiply by using the distributive property. \(3...

Question 17

Find the indicated product by using the shortcut pattern for multiplying binomials. ( x + 3)( x + 3)

Accepted Answer

The answer of Find the indicated product by using the...

Question 18

Use scientific notation and the properties of exponents to evaluate the following numerical expression. $\frac { 0.000076 } { 0.038 }$

Accepted Answer

A)  0.04 
B)  0.002 
C)  0.003 
D)  0.02 
A)  0.04 
B)  0.002 
C)  0.003 
D)  0.02

Question 19

Divide the polynomial by the monomial. $\frac { - 48 p ^ { 5 } - 24 p ^ { 13 } + 48 p ^ { 16 } } { 8 p ^ { 2 } }$

Accepted Answer

A)  $- 6 p ^ { 7 } - 3 p ^ { 15 } + 6 p ^ { 18 }$ 
B)  $- 6 p ^ { 3 } - 3 p ^ { 11 } - 6 p ^ { 14 }$ 
C)  $- 6 p ^ { 3 } - 3 p ^ { 11 } + 6 p ^ { 14 }$ 
D)  $- 6 p ^ { 7 } - 3 p ^ { 15 } + 7 p ^ { 18 }$ 
E)  $- 6 p ^ { 7 } + 3 p ^ { 11 } + 6 p ^ { 11 }$ 
A)  $- 6 p ^ { 7 } - 3 p ^ { 15 } + 6 p ^ { 18 }$ 
B)  $- 6 p ^ { 3 } - 3 p ^ { 11 } - 6 p ^ { 14 }$ 
C)  $- 6 p ^ { 3 } - 3 p ^ { 11 } + 6 p ^ { 14 }$ 
D)  $- 6 p ^ { 7 } - 3 p ^ { 15 } + 7 p ^ { 18 }$ 
E)  $- 6 p ^ { 7 } + 3 p ^ { 11 } + 6 p ^ { 11 }$

Question 20

Perform the division of the polynomials by monomials. $\frac { 66 z ^ { 12 } d ^ { 6 } + 36 z ^ { 11 } d ^ { 14 } } { 6 z ^ { 2 } d ^ { 4 } }$

Accepted Answer

A)  $11 z ^ { 10 } d ^ { 2 } + 6 z ^ { 9 } d ^ { 10 }$ 
B)  $11 z ^ { 10 } d ^ { 2 } + 6 z ^ { 11 } d ^ { 11 }$ 
C)  $11 z ^ { 10 } d ^ { 3 } + 6 z ^ { 12 } d ^ { 10 }$ 
D)  $11 z ^ { 10 } d ^ { 3 } + 6 z ^ { 9 } d ^ { 11 }$ 
A)  $11 z ^ { 10 } d ^ { 2 } + 6 z ^ { 9 } d ^ { 10 }$ 
B)  $11 z ^ { 10 } d ^ { 2 } + 6 z ^ { 11 } d ^ { 11 }$ 
C)  $11 z ^ { 10 } d ^ { 3 } + 6 z ^ { 12 } d ^ { 10 }$ 
D)  $11 z ^ { 10 } d ^ { 3 } + 6 z ^ { 9 } d ^ { 11 }$

Find the product by using the shortcut pattern for multiplying binomials. $( 6 n - 7 ) ( 2 n - 9 )$

Find the indicated product by applying the distributive property. ( x + 7)( y + 4)

Perform the division. $\left( 5 n ^ { 2 } - 19 n - 30 \right) \div ( n - 5 )$

Find $( x + 8 ) ^ { 3 }$ . Don t forget that $( x + 8 ) ^ { 3 }$ means ( x + 8)( x + 8)( x + 8).

Evaluate the following numerical expression. $4 ^ { - 8 } \cdot 4 ^ { 10 }$

The sum of a monomial and a binomial is always a trinomial.

Find the indicated product by applying the distributive property and combining similar terms. ( x + 3) ( x + 2)

Use scientific notation and the properties of exponents to evaluate the following numerical expression. $( 0.009 ) ( 170 )$

Multiply. $( 4 c d ) \left( - 9 c ^ { 5 } d \right) ( - 5 d )$

Remove the parentheses by multiplying and then simplify by combining similar terms. $- 2 ( 9 x + 7 ) - 9 [ 3 x - ( 4 x + 1 ) ]$

Subtract the polynomials using a horizontal format. $8 x + 17 \text { from } 4 x + 5$

Match the corresponding statements. - $16 x ^ { 2 }$

Multiply. $\left( \frac { 1 } { 5 } x y \right) \left( \frac { 5 } { 3 } x ^ { 4 } y ^ { 4 } \right)$

Perform the division. $\left( 12 y ^ { 2 } - 25 y - 7 \right) \div ( 4 y + 1 )$

Multiply the following. $( 6 c d ) \left( - 9 c ^ { 3 } d \right) ( - 4 d )$ Enter your answer as $a c ^ { b } d ^ { e }$ where a , b , e are numbers and c , d are variables.

Multiply by using the distributive property. $3 x ( 4 x + 8 )$

Find the indicated product by using the shortcut pattern for multiplying binomials. ( x + 3)( x + 3)

Use scientific notation and the properties of exponents to evaluate the following numerical expression. $\frac { 0.000076 } { 0.038 }$

Divide the polynomial by the monomial. $\frac { - 48 p ^ { 5 } - 24 p ^ { 13 } + 48 p ^ { 16 } } { 8 p ^ { 2 } }$

Perform the division of the polynomials by monomials. $\frac { 66 z ^ { 12 } d ^ { 6 } + 36 z ^ { 11 } d ^ { 14 } } { 6 z ^ { 2 } d ^ { 4 } }$

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 6: Exponents and Polynomials

Find the product by using the shortcut pattern for multiplying binomials. (6n−7)(2n−9)( 6 n - 7 ) ( 2 n - 9 )(6n−7)(2n−9)

Find the indicated product by applying the distributive property. ( x + 7)( y + 4)

Perform the division. (5n2−19n−30)÷(n−5)\left( 5 n ^ { 2 } - 19 n - 30 \right) \div ( n - 5 )(5n2−19n−30)÷(n−5)

Find (x+8)3( x + 8 ) ^ { 3 }(x+8)3 . Don t forget that (x+8)3( x + 8 ) ^ { 3 }(x+8)3 means ( x + 8)( x + 8)( x + 8).

Evaluate the following numerical expression. 4−8⋅4104 ^ { - 8 } \cdot 4 ^ { 10 }4−8⋅410

The sum of a monomial and a binomial is always a trinomial.

Find the indicated product by applying the distributive property and combining similar terms. ( x + 3) ( x + 2)

Use scientific notation and the properties of exponents to evaluate the following numerical expression. (0.009)(170)( 0.009 ) ( 170 )(0.009)(170)

Multiply. (4cd)(−9c5d)(−5d)( 4 c d ) \left( - 9 c ^ { 5 } d \right) ( - 5 d )(4cd)(−9c5d)(−5d)

Remove the parentheses by multiplying and then simplify by combining similar terms. −2(9x+7)−9[3x−(4x+1)]- 2 ( 9 x + 7 ) - 9 [ 3 x - ( 4 x + 1 ) ]−2(9x+7)−9[3x−(4x+1)]

Subtract the polynomials using a horizontal format. 8x+17 from 4x+58 x + 17 \text { from } 4 x + 58x+17 from 4x+5

Match the corresponding statements. - 16x216 x ^ { 2 }16x2

Multiply. (15xy)(53x4y4)\left( \frac { 1 } { 5 } x y \right) \left( \frac { 5 } { 3 } x ^ { 4 } y ^ { 4 } \right)(51​xy)(35​x4y4)

Perform the division. (12y2−25y−7)÷(4y+1)\left( 12 y ^ { 2 } - 25 y - 7 \right) \div ( 4 y + 1 )(12y2−25y−7)÷(4y+1)

Multiply the following. (6cd)(−9c3d)(−4d)( 6 c d ) \left( - 9 c ^ { 3 } d \right) ( - 4 d )(6cd)(−9c3d)(−4d) Enter your answer as acbdea c ^ { b } d ^ { e }acbde where a , b , e are numbers and c , d are variables.

Multiply by using the distributive property. 3x(4x+8)3 x ( 4 x + 8 )3x(4x+8)

Find the indicated product by using the shortcut pattern for multiplying binomials. ( x + 3)( x + 3)

Use scientific notation and the properties of exponents to evaluate the following numerical expression. 0.0000760.038\frac { 0.000076 } { 0.038 }0.0380.000076​

Divide the polynomial by the monomial. −48p5−24p13+48p168p2\frac { - 48 p ^ { 5 } - 24 p ^ { 13 } + 48 p ^ { 16 } } { 8 p ^ { 2 } }8p2−48p5−24p13+48p16​

Perform the division of the polynomials by monomials. 66z12d6+36z11d146z2d4\frac { 66 z ^ { 12 } d ^ { 6 } + 36 z ^ { 11 } d ^ { 14 } } { 6 z ^ { 2 } d ^ { 4 } }6z2d466z12d6+36z11d14​

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Find the product by using the shortcut pattern for multiplying binomials. $( 6 n - 7 ) ( 2 n - 9 )$

Perform the division. $\left( 5 n ^ { 2 } - 19 n - 30 \right) \div ( n - 5 )$

Find $( x + 8 ) ^ { 3 }$ . Don t forget that $( x + 8 ) ^ { 3 }$ means ( x + 8)( x + 8)( x + 8).

Evaluate the following numerical expression. $4 ^ { - 8 } \cdot 4 ^ { 10 }$

Use scientific notation and the properties of exponents to evaluate the following numerical expression. $( 0.009 ) ( 170 )$

Multiply. $( 4 c d ) \left( - 9 c ^ { 5 } d \right) ( - 5 d )$

Remove the parentheses by multiplying and then simplify by combining similar terms. $- 2 ( 9 x + 7 ) - 9 [ 3 x - ( 4 x + 1 ) ]$

Subtract the polynomials using a horizontal format. $8 x + 17 \text { from } 4 x + 5$

Match the corresponding statements. - $16 x ^ { 2 }$

Multiply. $\left( \frac { 1 } { 5 } x y \right) \left( \frac { 5 } { 3 } x ^ { 4 } y ^ { 4 } \right)$

Perform the division. $\left( 12 y ^ { 2 } - 25 y - 7 \right) \div ( 4 y + 1 )$

Multiply the following. $( 6 c d ) \left( - 9 c ^ { 3 } d \right) ( - 4 d )$ Enter your answer as $a c ^ { b } d ^ { e }$ where a , b , e are numbers and c , d are variables.

Multiply by using the distributive property. $3 x ( 4 x + 8 )$

Use scientific notation and the properties of exponents to evaluate the following numerical expression. $\frac { 0.000076 } { 0.038 }$

Divide the polynomial by the monomial. $\frac { - 48 p ^ { 5 } - 24 p ^ { 13 } + 48 p ^ { 16 } } { 8 p ^ { 2 } }$

Perform the division of the polynomials by monomials. $\frac { 66 z ^ { 12 } d ^ { 6 } + 36 z ^ { 11 } d ^ { 14 } } { 6 z ^ { 2 } d ^ { 4 } }$