Question 1

Remove the parentheses by multiplying and then simplify by combining similar terms. $6 ( x + 3 y ) + 9 ( 2 x + 7 y )$

Accepted Answer

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

Question 2

Perform the division. $\left( 2 n ^ { 2 } + 8 n - 42 \right) \div ( n + 7 )$

Accepted Answer

A)  2 $-$ 6 n 
B)  6 n + 2 
C)  2 n $-$ 6 
D)  2 n + 6 
E)  6 n $-$ 2 
A)  2 $-$ 6 n 
B)  6 n + 2 
C)  2 n $-$ 6 
D)  2 n + 6 
E)  6 n $-$ 2

Question 3

Use one of the appropriate patterns $( a + b ) ^ { 2 } = a ^ { 2 } + 2 a b + b ^ { 2 }$ ; $( a - b ) ^ { 2 } = a ^ { 2 } - 2 a b + b ^ { 2 }$ ; $( a + b ) ( a - b ) = a ^ { 2 } - b ^ { 2 }$ to find the following product. $( 9 + 6 n ) ( 9 - 6 n )$

Accepted Answer

A)  $81 - 36 n ^ { 2 }$ 
B)  $81 - 6 n ^ { 2 }$ 
C)  $9 - 36 n ^ { 2 }$ 
D)  $81 + 36 n ^ { 2 }$ 
E)  none of these 
A)  $81 - 36 n ^ { 2 }$ 
B)  $81 - 6 n ^ { 2 }$ 
C)  $9 - 36 n ^ { 2 }$ 
D)  $81 + 36 n ^ { 2 }$ 
E)  none of these

Question 4

Find the indicated product by using the shortcut pattern for multiplying binomials. ( x + 3) ( x + 4)

Accepted Answer

A)  $8 x ^ { 2 } + 12$ 
B)  $8 x ^ { 2 } - 12$ 
C)  $x ^ { 2 } + 4 x + 12$ 
D)  $x ^ { 2 } + 7 x + 12$ 
E)  $x ^ { 2 } + 12 x$ 
A)  $8 x ^ { 2 } + 12$ 
B)  $8 x ^ { 2 } - 12$ 
C)  $x ^ { 2 } + 4 x + 12$ 
D)  $x ^ { 2 } + 7 x + 12$ 
E)  $x ^ { 2 } + 12 x$

Question 5

The U.S. Social Security Administration pays approximately $46,000,000,000 in monthly benefits to all beneficiaries. Write this number in scientific notation.

Accepted Answer

A)  $4.5 \left( 10 ^ { 9 } \right)$ 
B)  $4.5 \left( 10 ^ { 10 } \right)$ 
C)  $4.7 \left( 10 ^ { 9 } \right)$ 
D)  $4.6 \left( 10 ^ { 11 } \right)$ 
E)  $4.6 \left( 10 ^ { 10 } \right)$ 
A)  $4.5 \left( 10 ^ { 9 } \right)$ 
B)  $4.5 \left( 10 ^ { 10 } \right)$ 
C)  $4.7 \left( 10 ^ { 9 } \right)$ 
D)  $4.6 \left( 10 ^ { 11 } \right)$ 
E)  $4.6 \left( 10 ^ { 10 } \right)$

Question 6

Use scientific notation and the properties of exponents to evaluate the following numerical expression. $\frac { 0.00096 } { 0.0024 }$ Enter your answer as a decimal.

Accepted Answer

The answer of Use scientific notation and the properties of...

Question 7

Divide the monomials. $\frac { 10 z w } { - Z w }$

Accepted Answer

A)  $10 z ^ { 2 } w ^ { 2 }$ 
B)  $- 10 z w$ 
C)  -10 
A)  $10 z ^ { 2 } w ^ { 2 }$ 
B)  $- 10 z w$ 
C)  -10

Question 8

Use one of the appropriate patterns $( a + b ) ^ { 2 } = a ^ { 2 } + 2 a b + b ^ { 2 }$ $( a - b ) ^ { 2 } = a ^ { 2 } - 2 a b + b ^ { 2 }$ $( a + b ) ( a - b ) = a ^ { 2 } - b ^ { 2 }$ to find the following product. $( 6 x + 7 y ) ^ { 2 }$

Accepted Answer

A)  $36 x ^ { 2 } + 84 x y + 7 y ^ { 2 }$ 
B)  $36 x ^ { 2 } - 84 x y + 49 y ^ { 2 }$ 
C)  $36 x ^ { 2 } + 42 x y + 49 y ^ { 2 }$ 
D)  $36 x ^ { 2 } + 84 x y + 49 y ^ { 2 }$ 
E)  $36 x ^ { 2 } + 49 y ^ { 2 }$ 
A)  $36 x ^ { 2 } + 84 x y + 7 y ^ { 2 }$ 
B)  $36 x ^ { 2 } - 84 x y + 49 y ^ { 2 }$ 
C)  $36 x ^ { 2 } + 42 x y + 49 y ^ { 2 }$ 
D)  $36 x ^ { 2 } + 84 x y + 49 y ^ { 2 }$ 
E)  $36 x ^ { 2 } + 49 y ^ { 2 }$

Question 9

Multiply by using the distributive property. $- 3 x \left( 2 x ^ { 2 } - 6 x - 3 \right)$

Accepted Answer

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

Question 10

Find the indicated product by applying the distributive property. ( x $-$ 2)( y $-$ 3)

Accepted Answer

A)  xy $-$ 3 x $-$ 2 y $-$ 6 
B)  xy $-$ 3 x $-$ 2 y + 3 
C)  xy $-$ 3 x $-$ 2 y + 6 
D)  xy $-$ 2 x + 3 y + 6 
E)  none of these 
A)  xy $-$ 3 x $-$ 2 y $-$ 6 
B)  xy $-$ 3 x $-$ 2 y + 3 
C)  xy $-$ 3 x $-$ 2 y + 6 
D)  xy $-$ 2 x + 3 y + 6 
E)  none of these

Question 11

Perform the division of the polynomials by monomials. $\frac { - 110 p ^ { 15 } - 80 p ^ { 10 } } { - 10 p ^ { 2 } }$

Accepted Answer

The answer of Perform the division of the polynomials by...

Question 12

Match the corresponding statements.
-$8 x + 26$

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

Write the following number in scientific notation. 0.00232

Accepted Answer

A)  $2.32 \cdot 10 ^ { 2 }$ 
B)  $2.32 \cdot 10 ^ { - 3 }$ 
C)  $2.32 \cdot 10 ^ { 5 }$ 
A)  $2.32 \cdot 10 ^ { 2 }$ 
B)  $2.32 \cdot 10 ^ { - 3 }$ 
C)  $2.32 \cdot 10 ^ { 5 }$

Question 14

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

Accepted Answer

xy + xz +

Question 15

Simplify the following algebraic expression and express your answer using positive exponents only. $\frac { u ^ { - 3 } } { u ^ { 2 } }$

Accepted Answer

The answer of Simplify the following algebraic expression and express...

Question 16

Determine the degree of the polynomial. $3 p ^ { 5 } + 10 p ^ { 4 } + 13 p$

Accepted Answer

A)  20 
B)  21 
C)  5 
D)  10 
E)  4 
A)  20 
B)  21 
C)  5 
D)  10 
E)  4

Question 17

Find the indicated products by using the shortcut pattern for multiplying binomials. (3 $-$ 6 x )(7 $-$ 6 x )

Accepted Answer

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

Question 18

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( \frac { 16 u ^ { 10 } } { 4 u ^ { - 4 } } \right) ^ { - 1 }$

Accepted Answer

A)  $\frac { 4 } { u ^ { 14 } }$ 
B)  $\frac { 1 } { 4 u ^ { 6 } }$ 
C)  $\frac { 1 } { 4 u ^ { 14 } }$ 
A)  $\frac { 4 } { u ^ { 14 } }$ 
B)  $\frac { 1 } { 4 u ^ { 6 } }$ 
C)  $\frac { 1 } { 4 u ^ { 14 } }$

Question 19

Perform the division. $\left( x ^ { 3 } - 30 x + 25 \right) \div ( x - 5 )$

Accepted Answer

The answer of Perform the division. \(\left( x ^ {...

Question 20

Write the following number in standard decimal form. $( 4.53 ) \left( 10 ^ { - 3 } \right)$

Accepted Answer

The answer of Write the following number in standard decimal...

Remove the parentheses by multiplying and then simplify by combining similar terms. $6 ( x + 3 y ) + 9 ( 2 x + 7 y )$

Perform the division. $\left( 2 n ^ { 2 } + 8 n - 42 \right) \div ( n + 7 )$

Use one of the appropriate patterns $( a + b ) ^ { 2 } = a ^ { 2 } + 2 a b + b ^ { 2 }$ ; $( a - b ) ^ { 2 } = a ^ { 2 } - 2 a b + b ^ { 2 }$ ; $( a + b ) ( a - b ) = a ^ { 2 } - b ^ { 2 }$ to find the following product. $( 9 + 6 n ) ( 9 - 6 n )$

Find the indicated product by using the shortcut pattern for multiplying binomials. ( x + 3) ( x + 4)

The U.S. Social Security Administration pays approximately $46,000,000,000 in monthly benefits to all beneficiaries. Write this number in scientific notation.

Use scientific notation and the properties of exponents to evaluate the following numerical expression. $\frac { 0.00096 } { 0.0024 }$ Enter your answer as a decimal.

Divide the monomials. $\frac { 10 z w } { - Z w }$

Use one of the appropriate patterns $( a + b ) ^ { 2 } = a ^ { 2 } + 2 a b + b ^ { 2 }$ $( a - b ) ^ { 2 } = a ^ { 2 } - 2 a b + b ^ { 2 }$ $( a + b ) ( a - b ) = a ^ { 2 } - b ^ { 2 }$ to find the following product. $( 6 x + 7 y ) ^ { 2 }$

Multiply by using the distributive property. $- 3 x \left( 2 x ^ { 2 } - 6 x - 3 \right)$

Find the indicated product by applying the distributive property. ( x $-$ 2)( y $-$ 3)

Perform the division of the polynomials by monomials. $\frac { - 110 p ^ { 15 } - 80 p ^ { 10 } } { - 10 p ^ { 2 } }$

Match the corresponding statements. - $8 x + 26$

Write the following number in scientific notation. 0.00232

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

Simplify the following algebraic expression and express your answer using positive exponents only. $\frac { u ^ { - 3 } } { u ^ { 2 } }$

Determine the degree of the polynomial. $3 p ^ { 5 } + 10 p ^ { 4 } + 13 p$

Find the indicated products by using the shortcut pattern for multiplying binomials. (3 $-$ 6 x )(7 $-$ 6 x )

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( \frac { 16 u ^ { 10 } } { 4 u ^ { - 4 } } \right) ^ { - 1 }$

Perform the division. $\left( x ^ { 3 } - 30 x + 25 \right) \div ( x - 5 )$

Write the following number in standard decimal form. $( 4.53 ) \left( 10 ^ { - 3 } \right)$

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

Remove the parentheses by multiplying and then simplify by combining similar terms. 6(x+3y)+9(2x+7y)6 ( x + 3 y ) + 9 ( 2 x + 7 y )6(x+3y)+9(2x+7y)

Perform the division. (2n2+8n−42)÷(n+7)\left( 2 n ^ { 2 } + 8 n - 42 \right) \div ( n + 7 )(2n2+8n−42)÷(n+7)

Find the indicated product by using the shortcut pattern for multiplying binomials. ( x + 3) ( x + 4)

The U.S. Social Security Administration pays approximately $46,000,000,000 in monthly benefits to all beneficiaries. Write this number in scientific notation.

Use scientific notation and the properties of exponents to evaluate the following numerical expression. 0.000960.0024\frac { 0.00096 } { 0.0024 }0.00240.00096​ Enter your answer as a decimal.

Divide the monomials. 10zw−Zw\frac { 10 z w } { - Z w }−Zw10zw​

Multiply by using the distributive property. −3x(2x2−6x−3)- 3 x \left( 2 x ^ { 2 } - 6 x - 3 \right)−3x(2x2−6x−3)

Find the indicated product by applying the distributive property. ( x −-− 2)( y −-− 3)

Perform the division of the polynomials by monomials. −110p15−80p10−10p2\frac { - 110 p ^ { 15 } - 80 p ^ { 10 } } { - 10 p ^ { 2 } }−10p2−110p15−80p10​

Match the corresponding statements. - 8x+268 x + 268x+26

Write the following number in scientific notation. 0.00232

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

Simplify the following algebraic expression and express your answer using positive exponents only. u−3u2\frac { u ^ { - 3 } } { u ^ { 2 } }u2u−3​

Determine the degree of the polynomial. 3p5+10p4+13p3 p ^ { 5 } + 10 p ^ { 4 } + 13 p3p5+10p4+13p

Find the indicated products by using the shortcut pattern for multiplying binomials. (3 −-− 6 x )(7 −-− 6 x )

Simplify the following algebraic expression and express your answer using positive exponents only. (16u104u−4)−1\left( \frac { 16 u ^ { 10 } } { 4 u ^ { - 4 } } \right) ^ { - 1 }(4u−416u10​)−1

Perform the division. (x3−30x+25)÷(x−5)\left( x ^ { 3 } - 30 x + 25 \right) \div ( x - 5 )(x3−30x+25)÷(x−5)

Write the following number in standard decimal form. (4.53)(10−3)( 4.53 ) \left( 10 ^ { - 3 } \right)(4.53)(10−3)

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

Remove the parentheses by multiplying and then simplify by combining similar terms. $6 ( x + 3 y ) + 9 ( 2 x + 7 y )$

Perform the division. $\left( 2 n ^ { 2 } + 8 n - 42 \right) \div ( n + 7 )$

Use scientific notation and the properties of exponents to evaluate the following numerical expression. $\frac { 0.00096 } { 0.0024 }$ Enter your answer as a decimal.

Divide the monomials. $\frac { 10 z w } { - Z w }$

Multiply by using the distributive property. $- 3 x \left( 2 x ^ { 2 } - 6 x - 3 \right)$

Find the indicated product by applying the distributive property. ( x $-$ 2)( y $-$ 3)

Perform the division of the polynomials by monomials. $\frac { - 110 p ^ { 15 } - 80 p ^ { 10 } } { - 10 p ^ { 2 } }$

Match the corresponding statements. - $8 x + 26$

Simplify the following algebraic expression and express your answer using positive exponents only. $\frac { u ^ { - 3 } } { u ^ { 2 } }$

Determine the degree of the polynomial. $3 p ^ { 5 } + 10 p ^ { 4 } + 13 p$

Find the indicated products by using the shortcut pattern for multiplying binomials. (3 $-$ 6 x )(7 $-$ 6 x )

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( \frac { 16 u ^ { 10 } } { 4 u ^ { - 4 } } \right) ^ { - 1 }$

Perform the division. $\left( x ^ { 3 } - 30 x + 25 \right) \div ( x - 5 )$

Write the following number in standard decimal form. $( 4.53 ) \left( 10 ^ { - 3 } \right)$