Simplify the expression. -90 + 30

A) 1 B) 12 C) 0 D) 2 A) 1 B) 12 C) 0 D) 2

Exam 5: Exponents and Polynomials

Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these. - $- 10 x ^ { 4 } - 3 w ^ { 3 } - 9 w + 4 v ^ { 5 } + 5$

(Multiple Choice)

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Question 241

Use the power rule and the power of a product or quotient rule to simplify the expression. - $\left( 4 p ^ { 5 } \right) ^ { 3 }$

(Multiple Choice)

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Question 242

Perform the indicated operation. -Subtract $\left( - 5 x ^ { 2 } - 3 x + 3 \right)$ from $\left( - x ^ { 2 } - 5 x + 7 \right)$ .

(Multiple Choice)

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Question 243

Simplify the expression. -9⁰ + 3⁰

(Multiple Choice)

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Question 244

Perform the division. - $\frac { 20 x ^ { 12 } - 10 x ^ { 8 } } { 5 x ^ { 4 } }$

(Multiple Choice)

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Question 245

Simplify. -If $Q ( x ) = x ^ { 2 } + 8$ , find $Q ( 4 )$

(Multiple Choice)

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Question 246

Solve. -The circle has a radius of $4 y$ centimeters. Find its area. Do not approximate $\pi$ . $\left( A = \pi r ^ { 2 } \right)$ $Solve. -The circle has a radius of 4 y centimeters. Find its area. Do not approximate \pi . \left( A = \pi r ^ { 2 } \right)$

(Multiple Choice)

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Question 247

Divide. - $\frac { 125 x ^ { 3 } - 1 } { 5 x + 1 }$

(Multiple Choice)

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Question 248

Simplify. -If $P ( x ) = 7 x - 5$ , find $P ( x + h )$ .

(Multiple Choice)

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Question 249

Multiply. - $5 x \left( - 8 x ^ { 2 } - 3 x + 2 \right)$

(Multiple Choice)

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Question 250

Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these. - $- 13 x$

(Multiple Choice)

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Question 251

Simplify the expression. Write the result using positive exponents only. - $\frac { 17 r ^ { - 2 } \left( r ^ { - 3 } \right) ^ { 4 } } { 12 \left( r ^ { 5 } \right) ^ { - 1 } }$

(Multiple Choice)

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Question 252

Fill in the blank with one of the words or phrases listed below. -A polynomial with exactly 1 term is called a .

(Multiple Choice)

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Question 253

Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these. - $- 10 s ^ { 7 } - 4 s + 1$

(Multiple Choice)

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Question 254

Write the number in standard notation. - $1.3374 \times 10 ^ { 5 }$

(Multiple Choice)

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Question 255

Use the power rule and the power of a product or quotient rule to simplify the expression. - $( 4 a ) ^ { 3 }$

(Multiple Choice)

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Question 256

Multiply vertically. - $( 8 x - 1 ) \left( x ^ { 2 } - 3 x + 1 \right)$

(Multiple Choice)

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Question 257

Perform the indicated operation. -Subtract $x$ from $x ^ { 3 } - 4 x - 13$

(Multiple Choice)

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Question 258

Use the product rule to simplify the expression. Write the result using exponents. - $( - 6 ) ^ { 9 } ( - 6 ) ^ { 5 }$

(Multiple Choice)

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Question 259

Evaluate the expression using exponential rules. Write the result in standard notation. - $\left( 4.7 \times 10 ^ { - 2 } \right) \times \left( 6.6 \times 10 ^ { 4 } \right)$

(Multiple Choice)

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Question 260

Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these. - $- 10 x ^ { 4 } - 3 w ^ { 3 } - 9 w + 4 v ^ { 5 } + 5$

Use the power rule and the power of a product or quotient rule to simplify the expression. - $\left( 4 p ^ { 5 } \right) ^ { 3 }$

Perform the indicated operation. -Subtract $\left( - 5 x ^ { 2 } - 3 x + 3 \right)$ from $\left( - x ^ { 2 } - 5 x + 7 \right)$ .

Simplify the expression. -9⁰ + 3⁰

Perform the division. - $\frac { 20 x ^ { 12 } - 10 x ^ { 8 } } { 5 x ^ { 4 } }$

Simplify. -If $Q ( x ) = x ^ { 2 } + 8$ , find $Q ( 4 )$

Solve. -The circle has a radius of $4 y$ centimeters. Find its area. Do not approximate $\pi$ . $\left( A = \pi r ^ { 2 } \right)$ $Solve. -The circle has a radius of 4 y centimeters. Find its area. Do not approximate \pi . \left( A = \pi r ^ { 2 } \right)$

Divide. - $\frac { 125 x ^ { 3 } - 1 } { 5 x + 1 }$

Simplify. -If $P ( x ) = 7 x - 5$ , find $P ( x + h )$ .

Multiply. - $5 x \left( - 8 x ^ { 2 } - 3 x + 2 \right)$

Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these. - $- 13 x$

Simplify the expression. Write the result using positive exponents only. - $\frac { 17 r ^ { - 2 } \left( r ^ { - 3 } \right) ^ { 4 } } { 12 \left( r ^ { 5 } \right) ^ { - 1 } }$

Fill in the blank with one of the words or phrases listed below. -A polynomial with exactly 1 term is called a .

Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these. - $- 10 s ^ { 7 } - 4 s + 1$

Write the number in standard notation. - $1.3374 \times 10 ^ { 5 }$

Use the power rule and the power of a product or quotient rule to simplify the expression. - $( 4 a ) ^ { 3 }$

Multiply vertically. - $( 8 x - 1 ) \left( x ^ { 2 } - 3 x + 1 \right)$

Perform the indicated operation. -Subtract $x$ from $x ^ { 3 } - 4 x - 13$

Use the product rule to simplify the expression. Write the result using exponents. - $( - 6 ) ^ { 9 } ( - 6 ) ^ { 5 }$

Evaluate the expression using exponential rules. Write the result in standard notation. - $\left( 4.7 \times 10 ^ { - 2 } \right) \times \left( 6.6 \times 10 ^ { 4 } \right)$

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

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Exponential and Logarithmic Functions

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Sequences, Series, and the Binomial Theorem

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Exam 5: Exponents and Polynomials

Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these. - −10x4−3w3−9w+4v5+5- 10 x ^ { 4 } - 3 w ^ { 3 } - 9 w + 4 v ^ { 5 } + 5−10x4−3w3−9w+4v5+5

Use the power rule and the power of a product or quotient rule to simplify the expression. - (4p5)3\left( 4 p ^ { 5 } \right) ^ { 3 }(4p5)3

Perform the indicated operation. -Subtract (−5x2−3x+3)\left( - 5 x ^ { 2 } - 3 x + 3 \right)(−5x2−3x+3) from (−x2−5x+7)\left( - x ^ { 2 } - 5 x + 7 \right)(−x2−5x+7) .

Simplify the expression. -90 + 30

Perform the division. - 20x12−10x85x4\frac { 20 x ^ { 12 } - 10 x ^ { 8 } } { 5 x ^ { 4 } }5x420x12−10x8​

Simplify. -If Q(x)=x2+8Q ( x ) = x ^ { 2 } + 8Q(x)=x2+8 , find Q(4)Q ( 4 )Q(4)

Solve. -The circle has a radius of 4y4 y4y centimeters. Find its area. Do not approximate π\piπ . (A=πr2)\left( A = \pi r ^ { 2 } \right)(A=πr2)

Divide. - 125x3−15x+1\frac { 125 x ^ { 3 } - 1 } { 5 x + 1 }5x+1125x3−1​

Simplify. -If P(x)=7x−5P ( x ) = 7 x - 5P(x)=7x−5 , find P(x+h)P ( x + h )P(x+h) .

Multiply. - 5x(−8x2−3x+2)5 x \left( - 8 x ^ { 2 } - 3 x + 2 \right)5x(−8x2−3x+2)

Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these. - −13x- 13 x−13x

Simplify the expression. Write the result using positive exponents only. - 17r−2(r−3)412(r5)−1\frac { 17 r ^ { - 2 } \left( r ^ { - 3 } \right) ^ { 4 } } { 12 \left( r ^ { 5 } \right) ^ { - 1 } }12(r5)−117r−2(r−3)4​

Fill in the blank with one of the words or phrases listed below. -A polynomial with exactly 1 term is called a .

Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these. - −10s7−4s+1- 10 s ^ { 7 } - 4 s + 1−10s7−4s+1

Write the number in standard notation. - 1.3374×1051.3374 \times 10 ^ { 5 }1.3374×105

Use the power rule and the power of a product or quotient rule to simplify the expression. - (4a)3( 4 a ) ^ { 3 }(4a)3

Multiply vertically. - (8x−1)(x2−3x+1)( 8 x - 1 ) \left( x ^ { 2 } - 3 x + 1 \right)(8x−1)(x2−3x+1)

Perform the indicated operation. -Subtract xxx from x3−4x−13x ^ { 3 } - 4 x - 13x3−4x−13

Use the product rule to simplify the expression. Write the result using exponents. - (−6)9(−6)5( - 6 ) ^ { 9 } ( - 6 ) ^ { 5 }(−6)9(−6)5

Evaluate the expression using exponential rules. Write the result in standard notation. - (4.7×10−2)×(6.6×104)\left( 4.7 \times 10 ^ { - 2 } \right) \times \left( 6.6 \times 10 ^ { 4 } \right)(4.7×10−2)×(6.6×104)

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these. - $- 10 x ^ { 4 } - 3 w ^ { 3 } - 9 w + 4 v ^ { 5 } + 5$

Use the power rule and the power of a product or quotient rule to simplify the expression. - $\left( 4 p ^ { 5 } \right) ^ { 3 }$

Perform the indicated operation. -Subtract $\left( - 5 x ^ { 2 } - 3 x + 3 \right)$ from $\left( - x ^ { 2 } - 5 x + 7 \right)$ .

Simplify the expression. -9⁰ + 3⁰

Perform the division. - $\frac { 20 x ^ { 12 } - 10 x ^ { 8 } } { 5 x ^ { 4 } }$

Simplify. -If $Q ( x ) = x ^ { 2 } + 8$ , find $Q ( 4 )$

Solve. -The circle has a radius of $4 y$ centimeters. Find its area. Do not approximate $\pi$ . $\left( A = \pi r ^ { 2 } \right)$ $Solve. -The circle has a radius of 4 y centimeters. Find its area. Do not approximate \pi . \left( A = \pi r ^ { 2 } \right)$

Divide. - $\frac { 125 x ^ { 3 } - 1 } { 5 x + 1 }$

Simplify. -If $P ( x ) = 7 x - 5$ , find $P ( x + h )$ .

Multiply. - $5 x \left( - 8 x ^ { 2 } - 3 x + 2 \right)$

Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these. - $- 13 x$

Simplify the expression. Write the result using positive exponents only. - $\frac { 17 r ^ { - 2 } \left( r ^ { - 3 } \right) ^ { 4 } } { 12 \left( r ^ { 5 } \right) ^ { - 1 } }$

Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these. - $- 10 s ^ { 7 } - 4 s + 1$

Write the number in standard notation. - $1.3374 \times 10 ^ { 5 }$

Use the power rule and the power of a product or quotient rule to simplify the expression. - $( 4 a ) ^ { 3 }$

Multiply vertically. - $( 8 x - 1 ) \left( x ^ { 2 } - 3 x + 1 \right)$

Perform the indicated operation. -Subtract $x$ from $x ^ { 3 } - 4 x - 13$

Use the product rule to simplify the expression. Write the result using exponents. - $( - 6 ) ^ { 9 } ( - 6 ) ^ { 5 }$

Evaluate the expression using exponential rules. Write the result in standard notation. - $\left( 4.7 \times 10 ^ { - 2 } \right) \times \left( 6.6 \times 10 ^ { 4 } \right)$