Exam 5: Exponents, Polynomials, and Polynomial Functions

Write the numbers in scientific notation and perform the operation. $\frac { 0.00000156 } { 0.0003 }$ Give the answer in scientific notation. $Write the numbers in scientific notation and perform the operation. \frac { 0.00000156 } { 0.0003 } Give the answer in scientific notation. \times 10 ^ { - } Give the answer in standard notation. $ $\times 10 ^ { - }$ Give the answer in standard notation.

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Question 101

An artist intends to paint a 70-square-foot mural on a wall that is 20 feet long and 11 feet high. If the artist wants to leave a border of uniform width, how wide should the border be? ( Hint: Let $w$ represent the width of the border. Then $20 - 2 w$ represents the length of the mural.) __________ ft

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Question 102

Perform the operation. Give answer in scientific notation. $\left( 3.5 \times 10 ^ { 6 } \right) \left( 2.9 \times 10 ^ { 2 } \right)$

(Multiple Choice)

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Question 103

Multiply: $[ ( 6 a + b ) + 1 ] ^ { 2 }$

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Question 104

Simplify the expression. Write the answer using positive exponents. $\frac { 1 } { 4 ^ { - 3 } }$

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Question 105

The product of two positive consecutive even integers is 48. Find the integers. ( Hint: Let x= the smaller even integer and $x + 2 =$ the larger even integer.) Separate your answers with commas.

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Question 106

$( x + 5 ) ^ { 2 }$ is the _________ of a sum.

(Short Answer)

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Question 107

Write the number in scientific notation. $2000 \times 10 ^ { - 7 }$

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Question 108

Perform the indicated operations. $\left( - 2 x ^ { 2 } + 7 x + 5 \right) - \left( - 6 x ^ { 2 } - 9 x + 1 \right) - \left( 6 x ^ { 2 } + 8 x + 5 \right)$

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Question 109

A __________ is the sum of one or more algebraic terms whose variables have whole-number exponents.

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Question 110

Write the number in scientific notation. $332 \times 10 ^ { 5 }$ $Write the number in scientific notation. 332 \times 10 ^ { 5 } \times 10 ^ { - }$ $\times 10 ^ { - }$

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Question 111

Which of the following is a trinomial of degree 8?

(Multiple Choice)

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Question 112

Solve the equation. $x ^ { 3 } - 6 x ^ { 2 } = 16 x$ , x = __________ If there is more than one solution, separate your answers with commas.

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Question 113

Write the number in standard notation. $8.1 \times 10 ^ { 2 }$

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Question 114

Add. $\left( 5 x ^ { 2 } + 5 x + 1 \right) + \left( - 4 x ^ { 2 } - 7 x + 5 \right)$

(Multiple Choice)

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Question 115

Solve the equation. $52 a ^ { 2 } + 7 a - 5 = 0$

(Multiple Choice)

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Question 116

Multiply. $- 4 y z ( 6 y - z ) ( 4 y - z )$

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Question 117

Write 0.0015 in scientific notation.

(Multiple Choice)

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Question 118

Multiply. Give the answer in scientific notation. $\left( 8.3 \times 10 ^ { - 6 } \right) \left( 5.5 \times 10 ^ { 13 } \right)$ $Multiply. Give the answer in scientific notation. \left( 8.3 \times 10 ^ { - 6 } \right) \left( 5.5 \times 10 ^ { 13 } \right) \times 10 ^ { - }$ $\times 10 ^ { - }$

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Question 119

Simplify: $\left( 4 x ^ { - 2 } y ^ { 5 } \right) ^ { - 2 }$

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Question 120

Showing 101 - 120 of 299

Perform the operation. Give answer in scientific notation. $\left( 3.5 \times 10 ^ { 6 } \right) \left( 2.9 \times 10 ^ { 2 } \right)$

Multiply: $[ ( 6 a + b ) + 1 ] ^ { 2 }$

Simplify the expression. Write the answer using positive exponents. $\frac { 1 } { 4 ^ { - 3 } }$

The product of two positive consecutive even integers is 48. Find the integers. ( Hint: Let x= the smaller even integer and $x + 2 =$ the larger even integer.) Separate your answers with commas.

$( x + 5 ) ^ { 2 }$ is the _________ of a sum.

Write the number in scientific notation. $2000 \times 10 ^ { - 7 }$

Perform the indicated operations. $\left( - 2 x ^ { 2 } + 7 x + 5 \right) - \left( - 6 x ^ { 2 } - 9 x + 1 \right) - \left( 6 x ^ { 2 } + 8 x + 5 \right)$

A __________ is the sum of one or more algebraic terms whose variables have whole-number exponents.

Write the number in scientific notation. $332 \times 10 ^ { 5 }$ $Write the number in scientific notation. 332 \times 10 ^ { 5 } \times 10 ^ { - }$ $\times 10 ^ { - }$

Which of the following is a trinomial of degree 8?

Solve the equation. $x ^ { 3 } - 6 x ^ { 2 } = 16 x$ , x = __________ If there is more than one solution, separate your answers with commas.

Write the number in standard notation. $8.1 \times 10 ^ { 2 }$

Add. $\left( 5 x ^ { 2 } + 5 x + 1 \right) + \left( - 4 x ^ { 2 } - 7 x + 5 \right)$

Solve the equation. $52 a ^ { 2 } + 7 a - 5 = 0$

Multiply. $- 4 y z ( 6 y - z ) ( 4 y - z )$

Write 0.0015 in scientific notation.

Multiply. Give the answer in scientific notation. $\left( 8.3 \times 10 ^ { - 6 } \right) \left( 5.5 \times 10 ^ { 13 } \right)$ $Multiply. Give the answer in scientific notation. \left( 8.3 \times 10 ^ { - 6 } \right) \left( 5.5 \times 10 ^ { 13 } \right) \times 10 ^ { - }$ $\times 10 ^ { - }$

Simplify: $\left( 4 x ^ { - 2 } y ^ { 5 } \right) ^ { - 2 }$

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Exam 5: Exponents, Polynomials, and Polynomial Functions

Write the numbers in scientific notation and perform the operation. 0.000001560.0003\frac { 0.00000156 } { 0.0003 }0.00030.00000156​ Give the answer in scientific notation. ×10−\times 10 ^ { - }×10− Give the answer in standard notation. __________

Perform the operation. Give answer in scientific notation. (3.5×106)(2.9×102)\left( 3.5 \times 10 ^ { 6 } \right) \left( 2.9 \times 10 ^ { 2 } \right)(3.5×106)(2.9×102)

Multiply: [(6a+b)+1]2[ ( 6 a + b ) + 1 ] ^ { 2 }[(6a+b)+1]2

Simplify the expression. Write the answer using positive exponents. 14−3\frac { 1 } { 4 ^ { - 3 } }4−31​

The product of two positive consecutive even integers is 48. Find the integers. ( Hint: Let x= the smaller even integer and x+2=x + 2 =x+2= the larger even integer.) Separate your answers with commas.

(x+5)2( x + 5 ) ^ { 2 }(x+5)2 is the _________ of a sum.

Write the number in scientific notation. 2000×10−72000 \times 10 ^ { - 7 }2000×10−7

Perform the indicated operations. (−2x2+7x+5)−(−6x2−9x+1)−(6x2+8x+5)\left( - 2 x ^ { 2 } + 7 x + 5 \right) - \left( - 6 x ^ { 2 } - 9 x + 1 \right) - \left( 6 x ^ { 2 } + 8 x + 5 \right)(−2x2+7x+5)−(−6x2−9x+1)−(6x2+8x+5)

A __________ is the sum of one or more algebraic terms whose variables have whole-number exponents.

Write the number in scientific notation. 332×105332 \times 10 ^ { 5 }332×105 ×10−\times 10 ^ { - }×10−

Which of the following is a trinomial of degree 8?

Solve the equation. x3−6x2=16xx ^ { 3 } - 6 x ^ { 2 } = 16 xx3−6x2=16x , x = __________ If there is more than one solution, separate your answers with commas.

Write the number in standard notation. 8.1×1028.1 \times 10 ^ { 2 }8.1×102

Add. (5x2+5x+1)+(−4x2−7x+5)\left( 5 x ^ { 2 } + 5 x + 1 \right) + \left( - 4 x ^ { 2 } - 7 x + 5 \right)(5x2+5x+1)+(−4x2−7x+5)

Solve the equation. 52a2+7a−5=052 a ^ { 2 } + 7 a - 5 = 052a2+7a−5=0

Multiply. −4yz(6y−z)(4y−z)- 4 y z ( 6 y - z ) ( 4 y - z )−4yz(6y−z)(4y−z)

Write 0.0015 in scientific notation.

Multiply. Give the answer in scientific notation. (8.3×10−6)(5.5×1013)\left( 8.3 \times 10 ^ { - 6 } \right) \left( 5.5 \times 10 ^ { 13 } \right)(8.3×10−6)(5.5×1013) ×10−\times 10 ^ { - }×10−

Simplify: (4x−2y5)−2\left( 4 x ^ { - 2 } y ^ { 5 } \right) ^ { - 2 }(4x−2y5)−2

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Perform the operation. Give answer in scientific notation. $\left( 3.5 \times 10 ^ { 6 } \right) \left( 2.9 \times 10 ^ { 2 } \right)$

Multiply: $[ ( 6 a + b ) + 1 ] ^ { 2 }$

Simplify the expression. Write the answer using positive exponents. $\frac { 1 } { 4 ^ { - 3 } }$

The product of two positive consecutive even integers is 48. Find the integers. ( Hint: Let x= the smaller even integer and $x + 2 =$ the larger even integer.) Separate your answers with commas.

$( x + 5 ) ^ { 2 }$ is the _________ of a sum.

Write the number in scientific notation. $2000 \times 10 ^ { - 7 }$

Perform the indicated operations. $\left( - 2 x ^ { 2 } + 7 x + 5 \right) - \left( - 6 x ^ { 2 } - 9 x + 1 \right) - \left( 6 x ^ { 2 } + 8 x + 5 \right)$

Write the number in scientific notation. $332 \times 10 ^ { 5 }$ $Write the number in scientific notation. 332 \times 10 ^ { 5 } \times 10 ^ { - }$ $\times 10 ^ { - }$

Solve the equation. $x ^ { 3 } - 6 x ^ { 2 } = 16 x$ , x = __________ If there is more than one solution, separate your answers with commas.

Write the number in standard notation. $8.1 \times 10 ^ { 2 }$

Add. $\left( 5 x ^ { 2 } + 5 x + 1 \right) + \left( - 4 x ^ { 2 } - 7 x + 5 \right)$

Solve the equation. $52 a ^ { 2 } + 7 a - 5 = 0$

Multiply. $- 4 y z ( 6 y - z ) ( 4 y - z )$

Multiply. Give the answer in scientific notation. $\left( 8.3 \times 10 ^ { - 6 } \right) \left( 5.5 \times 10 ^ { 13 } \right)$ $Multiply. Give the answer in scientific notation. \left( 8.3 \times 10 ^ { - 6 } \right) \left( 5.5 \times 10 ^ { 13 } \right) \times 10 ^ { - }$ $\times 10 ^ { - }$

Simplify: $\left( 4 x ^ { - 2 } y ^ { 5 } \right) ^ { - 2 }$