Question 1

Solve the problem.
-$$( x + 5 ) ( - 3 x - 2 )$$

Accepted Answer

A)  $- 3 x ^ { 2 } - 17 x - 10$ 
B)  $- 3 x ^ { 2 } - 10 x - 17$ 
C)  $- 3 x ^ { 2 } - 19 x - 10$ 
D)  $- 3 x ^ { 2 } - 17 x - 17$ 
A)  $- 3 x ^ { 2 } - 17 x - 10$ 
B)  $- 3 x ^ { 2 } - 10 x - 17$ 
C)  $- 3 x ^ { 2 } - 19 x - 10$ 
D)  $- 3 x ^ { 2 } - 17 x - 17$

Question 2

Write in scientific notation.
-844.508

Accepted Answer

A)  $8.44508 \times 10 ^ { 1 }$ 
B)  $8.44508 \times 10 ^ { - 2 }$ 
C)  $8.44508 \times 10 ^ { - 1 }$ 
D)  $8.44508 \times 10 ^ { 2 }$ 
A)  $8.44508 \times 10 ^ { 1 }$ 
B)  $8.44508 \times 10 ^ { - 2 }$ 
C)  $8.44508 \times 10 ^ { - 1 }$ 
D)  $8.44508 \times 10 ^ { 2 }$

Question 3

Write in scientific notation.
-0.000896

Accepted Answer

A)  $8.96 \times 10 ^ { - 5 }$ 
B)  $8.96 \times 10 ^ { - 4 }$ 
C)  $8.96 \times 10 ^ { 4 }$ 
D)  $8.96 \times 10 ^ { - 3 }$ 
A)  $8.96 \times 10 ^ { - 5 }$ 
B)  $8.96 \times 10 ^ { - 4 }$ 
C)  $8.96 \times 10 ^ { 4 }$ 
D)  $8.96 \times 10 ^ { - 3 }$

Question 4

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
-$\left( 9 a ^ { 3 } b ^ { 6 } c ^ { 0 } \right) ^ { 2 }$

Accepted Answer

A)  0 
B)  $9 a ^ { 6 } b ^ { 12 }$ 
C)  $81 a ^ { 6 } b ^ { 12 } c ^ { 2 }$ 
D)  $81 a ^ { 6 } b ^ { 12 }$ 
A)  0 
B)  $9 a ^ { 6 } b ^ { 12 }$ 
C)  $81 a ^ { 6 } b ^ { 12 } c ^ { 2 }$ 
D)  $81 a ^ { 6 } b ^ { 12 }$

Question 5

Solve.
-In a state with a population of 5,000,000 people, the average citizen spends $6,000 on housing each year. What is the total spent on housing for the state? Write your answer in scientific notation.

Accepted Answer

A)  $\$ 30 \times 10 ^ { 11 }$ 
B)  $\$ 3 \times 10 ^ { 10 }$ 
C)  $\$ 30 \times 10 ^ { 10 }$ 
D)  $\$ 3 \times 10 ^ { 9 }$ 
A)  $\$ 30 \times 10 ^ { 11 }$ 
B)  $\$ 3 \times 10 ^ { 10 }$ 
C)  $\$ 30 \times 10 ^ { 10 }$ 
D)  $\$ 3 \times 10 ^ { 9 }$

Question 6

Solve the problem.
-$$7 x ^ { 7 } \left( 3 x ^ { 5 } + 7 x ^ { 4 } - 9 \right)$$

Accepted Answer

A)  $21 x ^ { 12 } + 49 x ^ { 11 } - 63 x ^ { 7 }$ 
B)  $21 x ^ { 5 } + 49 x ^ { 4 } - 63$ 
C)  $21 x ^ { 12 } + 7 x ^ { 4 } - 9$ 
D)  $21 x ^ { 12 } + 49 x^{ 11}$ 
A)  $21 x ^ { 12 } + 49 x ^ { 11 } - 63 x ^ { 7 }$ 
B)  $21 x ^ { 5 } + 49 x ^ { 4 } - 63$ 
C)  $21 x ^ { 12 } + 7 x ^ { 4 } - 9$ 
D)  $21 x ^ { 12 } + 49 x^{ 11}$

Question 7

Solve.
-$$- 6 x ^ { 3 }$$

Accepted Answer

A)  monomial, degree $- 6$ 
B)  binomial, degree $- 6$ 
C)  binomial, degree 3 
D)  monomial, degree 3 
A)  monomial, degree $- 6$ 
B)  binomial, degree $- 6$ 
C)  binomial, degree 3 
D)  monomial, degree 3

Question 8

Solve.
-$5 x ^ { 9 } y ^ { 3 }$

Accepted Answer

A)  monomial, degree is 9 
B)  monomial, degree is 3 
C)  monomial, degree is 12 
D)  binomial, degree is 12 
A)  monomial, degree is 9 
B)  monomial, degree is 3 
C)  monomial, degree is 12 
D)  binomial, degree is 12

Question 9

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
-$\frac { \left( x ^ { 2 } \right) ^ { 4 } } { ( 2 x ) ^ { 3 } }$

Accepted Answer

A)  $\frac { x ^ { 5 } } { 8 }$ 
B)  $\frac { x ^ { 5 } } { 2 }$ 
C)  $\frac { x ^ { 11 } } { 8 }$ 
D)  $\frac { x ^ { 3 } } { 8 }$ 
A)  $\frac { x ^ { 5 } } { 8 }$ 
B)  $\frac { x ^ { 5 } } { 2 }$ 
C)  $\frac { x ^ { 11 } } { 8 }$ 
D)  $\frac { x ^ { 3 } } { 8 }$

Question 10

Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation.
-$$\frac { ( 0.00032 ) ( 0.0002 ) } { 0.0008 }$$

Accepted Answer

A)  $8 \times 10 ^ { - 5 }$ 
B)  $64 \times 10 ^ { - 6 }$ 
C)  $8 \times 10 ^ { 5 }$ 
D)  $64 \times 10 ^ { 6 }$ 
A)  $8 \times 10 ^ { - 5 }$ 
B)  $64 \times 10 ^ { - 6 }$ 
C)  $8 \times 10 ^ { 5 }$ 
D)  $64 \times 10 ^ { 6 }$

Question 11

Solve the problem.
-$$( 11 x + 12 ) ( 11 x - 12 )$$

Accepted Answer

A)  $121 x ^ { 2 } - 264 x - 144$ 
B)  $121 x ^ { 2 } + 264 x - 144$ 
C)  $x ^ { 2 } - 144$ 
D)  $121 x ^ { 2 } - 144$ 
A)  $121 x ^ { 2 } - 264 x - 144$ 
B)  $121 x ^ { 2 } + 264 x - 144$ 
C)  $x ^ { 2 } - 144$ 
D)  $121 x ^ { 2 } - 144$

Question 12

Solve the problem.
-$$( - 3 x - 10 ) ( - 4 x + 10 )$$

Accepted Answer

A)  $- 7 x ^ { 2 } + 10 x + 10$ 
B)  $12 x ^ { 2 } + 10 x + 10$ 
C)  $12 x ^ { 2 } + 10 x - 100$ 
D)  $- 7 x ^ { 2 } + 10 x - 100$ 
A)  $- 7 x ^ { 2 } + 10 x + 10$ 
B)  $12 x ^ { 2 } + 10 x + 10$ 
C)  $12 x ^ { 2 } + 10 x - 100$ 
D)  $- 7 x ^ { 2 } + 10 x - 100$

Question 13

Solve the problem.
-$$- 9 x ( - 7 x - 10 )$$

Accepted Answer

A)  $x ^ { 2 }$ 
B)  $- 7 x ^ { 2 } + 90 x$ 
C)  $x ^ { 2 } + 90 x$ 
D)  $x ^ { 2 } - 10 x$ 
A)  $x ^ { 2 }$ 
B)  $- 7 x ^ { 2 } + 90 x$ 
C)  $x ^ { 2 } + 90 x$ 
D)  $x ^ { 2 } - 10 x$

Question 14

Solve the problem.
-$$( x - 11 y ) ( 8 x - 8 y )$$

Accepted Answer

A)  $x ^ { 2 } - 96 x y + 88 y ^ { 2 }$ 
B)  $8 x ^ { 2 } - 96 x y - 96 y ^ { 2 }$ 
C)  $x ^ { 2 } - 96 x y - 96 y ^ { 2 }$ 
D)  $8 x ^ { 2 } - 96 x y + 88 y ^ { 2 }$ 
A)  $x ^ { 2 } - 96 x y + 88 y ^ { 2 }$ 
B)  $8 x ^ { 2 } - 96 x y - 96 y ^ { 2 }$ 
C)  $x ^ { 2 } - 96 x y - 96 y ^ { 2 }$ 
D)  $8 x ^ { 2 } - 96 x y + 88 y ^ { 2 }$

Question 15

Solve the problem.
-The average number of larceny thefts in a certain county increases each year. The number of larceny thefts can be described by the polynomial function $- 0.51 \mathrm { x } ^ { 3 } + 0.51 \mathrm { x } ^ { 2 } + 57.58 \mathrm { x } + 4194.2$, where $\mathrm { x }$ is the number of years since 1993. Estimate the number of larceny thefts in 2008 . Round to the nearest whole number.

Accepted Answer

A)  3440 
B)  2588 
C)  3451 
D)  $- 736$ 
A)  3440 
B)  2588 
C)  3451 
D)  $- 736$

Question 16

Write in scientific notation.
-0.0000000481018

Accepted Answer

A)  $4.81018 \times 10 ^ { 8 }$ 
B)  $4.81018 \times 10 ^ { -9 }$ 
C)  $4.81018 \times 10 ^ { -8 }$ 
D)  $4.81018 \times 10 ^ { -7 }$ 
A)  $4.81018 \times 10 ^ { 8 }$ 
B)  $4.81018 \times 10 ^ { -9 }$ 
C)  $4.81018 \times 10 ^ { -8 }$ 
D)  $4.81018 \times 10 ^ { -7 }$

Question 17

Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation.
-$$( 0.00004 ) ^ { 3 }$$

Accepted Answer

A)  $6.4 \times 10 ^ { - 13 }$ 
B)  $6.4 \times 10 ^ { - 14 }$ 
C)  $1.2 \times 10 ^ { - 14 }$ 
D)  $6.4 \times 10 ^ { - 11 }$ 
A)  $6.4 \times 10 ^ { - 13 }$ 
B)  $6.4 \times 10 ^ { - 14 }$ 
C)  $1.2 \times 10 ^ { - 14 }$ 
D)  $6.4 \times 10 ^ { - 11 }$

Question 18

Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation.
-$( 0.0075 ) ( 0.0000008 ) ( 0.001 )$

Accepted Answer

A)  $6.0 \times 10 ^ { - 12 }$ 
B)  $6.0 \times 10 ^ { - 14 }$ 
C)  $6.0 \times 10 ^ { - 11 }$ 
D)  $6.0 \times 10 ^ { - 13 }$ 
A)  $6.0 \times 10 ^ { - 12 }$ 
B)  $6.0 \times 10 ^ { - 14 }$ 
C)  $6.0 \times 10 ^ { - 11 }$ 
D)  $6.0 \times 10 ^ { - 13 }$

Question 19

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
-$\left( x ^ { 5 } y \right) ^ { 2 }$

Accepted Answer

A)  $x ^ { 7 } y$ 
B)  $x ^ { 7 } y ^ { 3 }$ 
C)  $x ^ { 10 } y ^ { 2 }$ 
D)  $x ^ { 10 } y$ 
A)  $x ^ { 7 } y$ 
B)  $x ^ { 7 } y ^ { 3 }$ 
C)  $x ^ { 10 } y ^ { 2 }$ 
D)  $x ^ { 10 } y$

Question 20

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
-$\frac { z ^ { 13 } } { z ^ { 12 } }$

Accepted Answer

A)  $\mathrm { z }$ 
B)  $\frac { 1 } { z }$ 
C)  $\mathrm { z } ^ { 25 }$ 
D)  $z ^ { 13 } - z ^ { 12 }$ 
A)  $\mathrm { z }$ 
B)  $\frac { 1 } { z }$ 
C)  $\mathrm { z } ^ { 25 }$ 
D)  $z ^ { 13 } - z ^ { 12 }$

Solve the problem. - $( x + 5 ) ( - 3 x - 2 )$

Write in scientific notation. -844.508

Write in scientific notation. -0.000896

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - $\left( 9 a ^ { 3 } b ^ { 6 } c ^ { 0 } \right) ^ { 2 }$

Solve. -In a state with a population of 5,000,000 people, the average citizen spends $6,000 on housing each year. What is the total spent on housing for the state? Write your answer in scientific notation.

Solve the problem. - $7 x ^ { 7 } \left( 3 x ^ { 5 } + 7 x ^ { 4 } - 9 \right)$

Solve. - $- 6 x ^ { 3 }$

Solve. - $5 x ^ { 9 } y ^ { 3 }$

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - $\frac { \left( x ^ { 2 } \right) ^ { 4 } } { ( 2 x ) ^ { 3 } }$

Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation. - $\frac { ( 0.00032 ) ( 0.0002 ) } { 0.0008 }$

Solve the problem. - $( 11 x + 12 ) ( 11 x - 12 )$

Solve the problem. - $( - 3 x - 10 ) ( - 4 x + 10 )$

Solve the problem. - $- 9 x ( - 7 x - 10 )$

Solve the problem. - $( x - 11 y ) ( 8 x - 8 y )$

Write in scientific notation. -0.0000000481018

Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation. - $( 0.00004 ) ^ { 3 }$

Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation. - $( 0.0075 ) ( 0.0000008 ) ( 0.001 )$

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - $\left( x ^ { 5 } y \right) ^ { 2 }$

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - $\frac { z ^ { 13 } } { z ^ { 12 } }$

Real Numbers and Variables

Equations, Inequalities, and Applications

Graphing and Functions

Systems of Linear Equations and Inequalities

Factoring

Rational Expressions and Equations

Rational Exponents and Radicals

Quadratic Equations and Inequalities

The Conic Sections

Additional Properties of Functions

Logarithmic and Exponential Functions

Filters

Exam 5: Exponents and Polynomials

Solve the problem. - (x+5)(−3x−2)( x + 5 ) ( - 3 x - 2 )(x+5)(−3x−2)

Write in scientific notation. -844.508

Write in scientific notation. -0.000896

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - (9a3b6c0)2\left( 9 a ^ { 3 } b ^ { 6 } c ^ { 0 } \right) ^ { 2 }(9a3b6c0)2

Solve. -In a state with a population of 5,000,000 people, the average citizen spends $6,000 on housing each year. What is the total spent on housing for the state? Write your answer in scientific notation.

Solve the problem. - 7x7(3x5+7x4−9)7 x ^ { 7 } \left( 3 x ^ { 5 } + 7 x ^ { 4 } - 9 \right)7x7(3x5+7x4−9)

Solve. - −6x3- 6 x ^ { 3 }−6x3

Solve. - 5x9y35 x ^ { 9 } y ^ { 3 }5x9y3

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - (x2)4(2x)3\frac { \left( x ^ { 2 } \right) ^ { 4 } } { ( 2 x ) ^ { 3 } }(2x)3(x2)4​

Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation. - (0.00032)(0.0002)0.0008\frac { ( 0.00032 ) ( 0.0002 ) } { 0.0008 }0.0008(0.00032)(0.0002)​

Solve the problem. - (11x+12)(11x−12)( 11 x + 12 ) ( 11 x - 12 )(11x+12)(11x−12)

Solve the problem. - (−3x−10)(−4x+10)( - 3 x - 10 ) ( - 4 x + 10 )(−3x−10)(−4x+10)

Solve the problem. - −9x(−7x−10)- 9 x ( - 7 x - 10 )−9x(−7x−10)

Solve the problem. - (x−11y)(8x−8y)( x - 11 y ) ( 8 x - 8 y )(x−11y)(8x−8y)