Question 1

Solve.
-A computer compiles a program in 0.000885 seconds. Write this in scientific notation.

Accepted Answer

A)  $8.85 \times 10 ^ { 3 }$ 
B)  $8.85 \times 10 ^ { - 4 }$ 
C)  $8.85 \times 10 ^ { - 6 }$ 
D)  $8.85 \times 10 ^ { - 5 }$ 
A)  $8.85 \times 10 ^ { 3 }$ 
B)  $8.85 \times 10 ^ { - 4 }$ 
C)  $8.85 \times 10 ^ { - 6 }$ 
D)  $8.85 \times 10 ^ { - 5 }$

Question 2

Solve.
-$- 17 x ^ { 3 } + 5$

Accepted Answer

A)  binomial, degree 4 
B)  monomial, degree -17 
C)  binomial, degree 0 
D)  binomial, degree 3 
A)  binomial, degree 4 
B)  monomial, degree -17 
C)  binomial, degree 0 
D)  binomial, degree 3

Question 3

Multiply and leave your answer in exponent form.
-$$\left( - 2 a ^ { 5 } b \right) \left( - 7 a ^ { 3 } b ^ { 4 } \right) ( 0 )$$

Accepted Answer

A)  $14 a ^ { 8 } b ^ { 5 }$ 
B)  1 
C)  $14 a ^ { 5 } b ^ { 4 }$ 
D)  0 
A)  $14 a ^ { 8 } b ^ { 5 }$ 
B)  1 
C)  $14 a ^ { 5 } b ^ { 4 }$ 
D)  0

Question 4

Solve the problem.
--3x(-4x + 12) $- 10 x ^ { 5 } ( 11 x - 1 )$

Accepted Answer

A)  $- 110 x + 10$ 
B)  $- 110 x ^ { 6 } + 10 x ^ { 5 }$ 
C)  $- 100 x ^ { 5 }$ 
D)  $- 110 x ^ { 6 } - 1$ 
A)  $- 110 x + 10$ 
B)  $- 110 x ^ { 6 } + 10 x ^ { 5 }$ 
C)  $- 100 x ^ { 5 }$ 
D)  $- 110 x ^ { 6 } - 1$

Question 5

Multiply and leave your answer in exponent form.
-$$\left( - 3 x ^ { 4 } y ^ { 5 } \right) \left( 8 x y ^ { 5 } \right) \left( - 6 x ^ { 3 } y \right)$$

Accepted Answer

A)  $- 1 x ^ { 12 } y ^ { 25 }$ 
B)  $x ^ { 12 } y ^ { 25 }$ 
C)  $- 1 x ^ { 8 } y ^ { 11 }$ 
D)  $\mathrm { x } ^ { 8 } \mathrm { y } ^ { 11 }$ 
A)  $- 1 x ^ { 12 } y ^ { 25 }$ 
B)  $x ^ { 12 } y ^ { 25 }$ 
C)  $- 1 x ^ { 8 } y ^ { 11 }$ 
D)  $\mathrm { x } ^ { 8 } \mathrm { y } ^ { 11 }$

Question 6

Perform the indicated operations.
-$$\left( - \frac { 4 } { 5 } x ^ { 2 } + \frac { 3 } { 5 } x + \frac { 1 } { 4 } \right) + \left( \frac { 1 } { 2 } x ^ { 2 } + \frac { 1 } { 3 } x - \frac { 2 } { 5 } \right)$$

Accepted Answer

A)  $- \frac { 3 } { 10 } x ^ { 4 } + \frac { 14 } { 15 } x ^ { 2 } - \frac { 3 } { 20 }$ 
B)  $- \frac { 3 } { 10 } x ^ { 2 } + \frac { 14 } { 15 } x - \frac { 3 } { 20 }$ 
C)  $\frac { 19 } { 30 } x ^ { 6 } - \frac { 3 } { 20 }$ 
D)  $- 4 x ^ { 2 } + 2 x - 1$ 
A)  $- \frac { 3 } { 10 } x ^ { 4 } + \frac { 14 } { 15 } x ^ { 2 } - \frac { 3 } { 20 }$ 
B)  $- \frac { 3 } { 10 } x ^ { 2 } + \frac { 14 } { 15 } x - \frac { 3 } { 20 }$ 
C)  $\frac { 19 } { 30 } x ^ { 6 } - \frac { 3 } { 20 }$ 
D)  $- 4 x ^ { 2 } + 2 x - 1$

Question 7

Solve
-A rocket is stopped 25 feet from a satellite when it begins accelerating away from the satellite at a constant rate of 14 feet per second per second. The distance between the rocket and the satellite is given by the polynomial $7 t ^ { 2 }$ $+ 25$. Find the distance between the rocket and the satellite 9 seconds after the rocket started moving.

Accepted Answer

A)  106 feet 
B)  592 feet 
C)  88 feet 
D)  567 feet 
A)  106 feet 
B)  592 feet 
C)  88 feet 
D)  567 feet

Question 8

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

Accepted Answer

A)  $x ^ { 2 } + 10 x - 25$ 
B)  $x ^ { 2 } - 25$ 
C)  $x ^ { 2 } - 10 x - 25$ 
D)  $x ^ { 2 } - 10$ 
A)  $x ^ { 2 } + 10 x - 25$ 
B)  $x ^ { 2 } - 25$ 
C)  $x ^ { 2 } - 10 x - 25$ 
D)  $x ^ { 2 } - 10$

Question 9

Solve the problem.
-$$( 2 x - 10 ) ( x + 11 )$$

Accepted Answer

A)  $2 x ^ { 2 } + 11 x - 110$ 
B)  $x ^ { 2 } + 12 x + 11$ 
C)  $2 x ^ { 2 } + 12 x - 110$ 
D)  $x ^ { 2 } - 110 x + 12$ 
A)  $2 x ^ { 2 } + 11 x - 110$ 
B)  $x ^ { 2 } + 12 x + 11$ 
C)  $2 x ^ { 2 } + 12 x - 110$ 
D)  $x ^ { 2 } - 110 x + 12$

Question 10

Multiply and leave your answer in exponent form.
-$$\left( - 8 x ^ { 6 } y \right) \left( - 8 x ^ { 3 } y ^ { 5 } \right)$$

Accepted Answer

A)  $- 64 x ^ { 9 } y ^ { 5 }$ 
B)  $- 16 x ^ { 9 } y ^ { 5 }$ 
C)  $64 x ^ { 9 } y ^ { 6 }$ 
D)  $64 x ^ { 18 } y ^ { 5 }$ 
A)  $- 64 x ^ { 9 } y ^ { 5 }$ 
B)  $- 16 x ^ { 9 } y ^ { 5 }$ 
C)  $64 x ^ { 9 } y ^ { 6 }$ 
D)  $64 x ^ { 18 } y ^ { 5 }$

Question 11

Solve the problem.
-$$( 6 + x ) ( 6 - x )$$

Accepted Answer

A)  $12 - x ^ { 2 }$ 
B)  $36 - 12 x - x ^ { 2 }$ 
C)  $36 + 12 x - x ^ { 2 }$ 
D)  $36 - x ^ { 2 }$ 
A)  $12 - x ^ { 2 }$ 
B)  $36 - 12 x - x ^ { 2 }$ 
C)  $36 + 12 x - x ^ { 2 }$ 
D)  $36 - x ^ { 2 }$

Question 12

Write in simplest exponent form.
-9 ·9 ·9 ·9 · x · x · x

Accepted Answer

A)  $9 ^ { 5 } x ^ { 3 }$ 
B)  $9 ^ { 4 } x ^ { 3 }$ 
C)  $6 x ^ { 3 }$ 
D)  $9 x ^ { 7 }$ 
A)  $9 ^ { 5 } x ^ { 3 }$ 
B)  $9 ^ { 4 } x ^ { 3 }$ 
C)  $6 x ^ { 3 }$ 
D)  $9 x ^ { 7 }$

Question 13

Multiply and leave your answer in exponent form.
-$$\left( 2 x ^ { 5 } y \right) \left( - 6 x ^ { 2 } y ^ { 4 } \right)$$

Accepted Answer

A)  $- 12 x ^ { 7 } y ^ { 5 }$ 
B)  $- 12 x ^ { 7 } y ^ { 4 }$ 
C)  $- 12 x ^ { 10 } y ^ { 4 }$ 
D)  $12 x ^ { 7 } y ^ { 4 }$ 
A)  $- 12 x ^ { 7 } y ^ { 5 }$ 
B)  $- 12 x ^ { 7 } y ^ { 4 }$ 
C)  $- 12 x ^ { 10 } y ^ { 4 }$ 
D)  $12 x ^ { 7 } y ^ { 4 }$

Question 14

Solve the problem.
-$$( 4 x + 7 y ) ^ { 2 }$$

Accepted Answer

A)  $16 x ^ { 2 } + 49 y ^ { 2 }$ 
B)  $4 x ^ { 2 } + 56 x y + 49 y ^ { 2 }$ 
C)  $16 x ^ { 2 } + 56 x y + 49 y ^ { 2 }$ 
D)  $4 x ^ { 2 } + 49 y ^ { 2 }$ 
A)  $16 x ^ { 2 } + 49 y ^ { 2 }$ 
B)  $4 x ^ { 2 } + 56 x y + 49 y ^ { 2 }$ 
C)  $16 x ^ { 2 } + 56 x y + 49 y ^ { 2 }$ 
D)  $4 x ^ { 2 } + 49 y ^ { 2 }$

Question 15

Perform the indicated operations.
-$$\left( 5 x ^ { 8 } - 4 x ^ { 7 } + 2 x ^ { 6 } + 8 \right) + \left( 7 x ^ { 8 } + 6 x ^ { 7 } + 3 x ^ { 6 } + 4 \right)$$

Accepted Answer

A)  $19 ^{ 42} + 12$ 
B)  $x ^ { 8 } + 14 x ^ { 7 } + 9 x ^ { 6 } + 3$ 
C)  $12 x^{16} + 2 x ^{14 }+ 5 x ^ { 12 } + 12$ 
D)  $12 x ^ { 8 } + 2 x ^ { 7 } + 5 x ^ { 6 } + 12$ 
A)  $19 ^{ 42} + 12$ 
B)  $x ^ { 8 } + 14 x ^ { 7 } + 9 x ^ { 6 } + 3$ 
C)  $12 x^{16} + 2 x ^{14 }+ 5 x ^ { 12 } + 12$ 
D)  $12 x ^ { 8 } + 2 x ^ { 7 } + 5 x ^ { 6 } + 12$

Question 16

Perform the indicated operations.
-$\left( 2 x ^ { 3 } + 4 x ^ { 2 } y + 7 x y ^ { 2 } - 3 y ^ { 3 } \right) + \left( 2 x ^ { 3 } + 9 x ^ { 2 } y + - 3 x y ^ { 2 } \right) - \left( 5 x ^ { 2 } y + 2 x y ^ { 2 } + y ^ { 3 } \right)$

Accepted Answer

A)  $4 x ^ { 3 } + 8 x ^ { 2 } y + 2 x y ^ { 2 } - 2 y ^ { 3 }$ 
B)  $4 x ^ { 3 } + 8 x ^ { 2 } y + 6 x y ^ { 2 } - 4 y ^ { 3 }$ 
C)  $4 x ^ { 3 } + 8 x ^ { 2 } y + 6 x y ^ { 2 } - 2 y ^ { 3 }$ 
D)  $4 x ^ { 3 } + 8 x ^ { 2 } y + 2 x y ^ { 2 } - 4 y ^ { 3 }$ 
A)  $4 x ^ { 3 } + 8 x ^ { 2 } y + 2 x y ^ { 2 } - 2 y ^ { 3 }$ 
B)  $4 x ^ { 3 } + 8 x ^ { 2 } y + 6 x y ^ { 2 } - 4 y ^ { 3 }$ 
C)  $4 x ^ { 3 } + 8 x ^ { 2 } y + 6 x y ^ { 2 } - 2 y ^ { 3 }$ 
D)  $4 x ^ { 3 } + 8 x ^ { 2 } y + 2 x y ^ { 2 } - 4 y ^ { 3 }$

Question 17

Write in scientific notation.
- 0.000000768015

Accepted Answer

A)  $7.68015 \times 10 ^ { - 6 }$ 
B)  $7.68015 \times 10 ^ { 7 }$ 
C)  $7.68015 \times 10 ^ { 6 }$ 
D)  $7.68015 \times 10 ^ { - 7 }$ 768015 
A)  $7.68015 \times 10 ^ { - 6 }$ 
B)  $7.68015 \times 10 ^ { 7 }$ 
C)  $7.68015 \times 10 ^ { 6 }$ 
D)  $7.68015 \times 10 ^ { - 7 }$ 768015

Question 18

Solve the problem.
-The dimensions of the sides of the following figure are labeled. Create a polynomial that describes the perimeter of this figure.

Accepted Answer

A)  $- 24 x ^ { 2 }$ 
B)  $- 4 x ^ { 2 } - 36 x$ 
C)  $12 x ^ { 2 } + 12 x$ 
D)  $12 x ^ { 2 } - 36 x$ 
A)  $- 24 x ^ { 2 }$ 
B)  $- 4 x ^ { 2 } - 36 x$ 
C)  $12 x ^ { 2 } + 12 x$ 
D)  $12 x ^ { 2 } - 36 x$

Question 19

Multiply and leave your answer in exponent form.
-$$\left( \mathrm { z } ^ { 10 } \right) \left( \mathrm { z } ^ { 14 } \right)$$

Accepted Answer

A)  $z ^ { 4 }$ 
B)  $z ^ { 140 }$ 
C) 2$z ^ { 24 }$ 
D)  $z ^ { 24 }$ 
A)  $z ^ { 4 }$ 
B)  $z ^ { 140 }$ 
C) 2$z ^ { 24 }$ 
D)  $z ^ { 24 }$

Question 20

Solve.
-If the mass of an object is $5.50756 \times 10 ^ { 3 }$ tons and its density is $6.28 \times 10 ^ { - 2 }$ tons per cubic foot, find the volume of this object. (Use the formula $\mathrm { D } = \frac { \mathrm { M } } { \mathrm { V } }$ and round to the nearest hundredth, if necessary.)

Accepted Answer

A)  $8.77 \times 10 ^ { 3 }$ cubic feet 
B)  $8.77 \times 10 ^ { 4 }$ cubic feet 
C)  $8.77 \times 10 ^ { 5 }$ cubic feet 
D)  $87.7 \times 10 ^ { 4 }$ cubic feet 
A)  $8.77 \times 10 ^ { 3 }$ cubic feet 
B)  $8.77 \times 10 ^ { 4 }$ cubic feet 
C)  $8.77 \times 10 ^ { 5 }$ cubic feet 
D)  $87.7 \times 10 ^ { 4 }$ cubic feet

Solve. -A computer compiles a program in 0.000885 seconds. Write this in scientific notation.

Solve. - $- 17 x ^ { 3 } + 5$

Multiply and leave your answer in exponent form. - $\left( - 2 a ^ { 5 } b \right) \left( - 7 a ^ { 3 } b ^ { 4 } \right) ( 0 )$

Solve the problem. --3x(-4x + 12) $- 10 x ^ { 5 } ( 11 x - 1 )$

Multiply and leave your answer in exponent form. - $\left( - 3 x ^ { 4 } y ^ { 5 } \right) \left( 8 x y ^ { 5 } \right) \left( - 6 x ^ { 3 } y \right)$

Perform the indicated operations. - $\left( - \frac { 4 } { 5 } x ^ { 2 } + \frac { 3 } { 5 } x + \frac { 1 } { 4 } \right) + \left( \frac { 1 } { 2 } x ^ { 2 } + \frac { 1 } { 3 } x - \frac { 2 } { 5 } \right)$

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

Solve the problem. - $( 2 x - 10 ) ( x + 11 )$

Multiply and leave your answer in exponent form. - $\left( - 8 x ^ { 6 } y \right) \left( - 8 x ^ { 3 } y ^ { 5 } \right)$

Solve the problem. - $( 6 + x ) ( 6 - x )$

Write in simplest exponent form. -9 ·9 ·9 ·9 · x · x · x

Multiply and leave your answer in exponent form. - $\left( 2 x ^ { 5 } y \right) \left( - 6 x ^ { 2 } y ^ { 4 } \right)$

Solve the problem. - $( 4 x + 7 y ) ^ { 2 }$

Perform the indicated operations. - $\left( 5 x ^ { 8 } - 4 x ^ { 7 } + 2 x ^ { 6 } + 8 \right) + \left( 7 x ^ { 8 } + 6 x ^ { 7 } + 3 x ^ { 6 } + 4 \right)$

Perform the indicated operations. - $\left( 2 x ^ { 3 } + 4 x ^ { 2 } y + 7 x y ^ { 2 } - 3 y ^ { 3 } \right) + \left( 2 x ^ { 3 } + 9 x ^ { 2 } y + - 3 x y ^ { 2 } \right) - \left( 5 x ^ { 2 } y + 2 x y ^ { 2 } + y ^ { 3 } \right)$

Write in scientific notation. - 0.000000768015

Solve the problem. -The dimensions of the sides of the following figure are labeled. Create a polynomial that describes the perimeter of this figure.

Multiply and leave your answer in exponent form. - $\left( \mathrm { z } ^ { 10 } \right) \left( \mathrm { z } ^ { 14 } \right)$

Solve. -If the mass of an object is $5.50756 \times 10 ^ { 3 }$ tons and its density is $6.28 \times 10 ^ { - 2 }$ tons per cubic foot, find the volume of this object. (Use the formula $\mathrm { D } = \frac { \mathrm { M } } { \mathrm { V } }$ and round to the nearest hundredth, if necessary.)

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. -A computer compiles a program in 0.000885 seconds. Write this in scientific notation.

Solve. - −17x3+5- 17 x ^ { 3 } + 5−17x3+5

Multiply and leave your answer in exponent form. - (−2a5b)(−7a3b4)(0)\left( - 2 a ^ { 5 } b \right) \left( - 7 a ^ { 3 } b ^ { 4 } \right) ( 0 )(−2a5b)(−7a3b4)(0)

Solve the problem. --3x(-4x + 12) −10x5(11x−1)- 10 x ^ { 5 } ( 11 x - 1 )−10x5(11x−1)

Multiply and leave your answer in exponent form. - (−3x4y5)(8xy5)(−6x3y)\left( - 3 x ^ { 4 } y ^ { 5 } \right) \left( 8 x y ^ { 5 } \right) \left( - 6 x ^ { 3 } y \right)(−3x4y5)(8xy5)(−6x3y)

Perform the indicated operations. - (−45x2+35x+14)+(12x2+13x−25)\left( - \frac { 4 } { 5 } x ^ { 2 } + \frac { 3 } { 5 } x + \frac { 1 } { 4 } \right) + \left( \frac { 1 } { 2 } x ^ { 2 } + \frac { 1 } { 3 } x - \frac { 2 } { 5 } \right)(−54​x2+53​x+41​)+(21​x2+31​x−52​)

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

Solve the problem. - (2x−10)(x+11)( 2 x - 10 ) ( x + 11 )(2x−10)(x+11)

Multiply and leave your answer in exponent form. - (−8x6y)(−8x3y5)\left( - 8 x ^ { 6 } y \right) \left( - 8 x ^ { 3 } y ^ { 5 } \right)(−8x6y)(−8x3y5)

Solve the problem. - (6+x)(6−x)( 6 + x ) ( 6 - x )(6+x)(6−x)