Question 1

Solve.
-A computer compiles a program in $8.637 \times 10 ^ { - 6 }$ seconds. Write this in decimal notation.

Accepted Answer

A)  $0.0000008637$ 
B)  $0.00008637$ 
C)  $- 8,637,000$ 
D)  $0.000008637$ 
A)  $0.0000008637$ 
B)  $0.00008637$ 
C)  $- 8,637,000$ 
D)  $0.000008637$ D

Question 2

Write in scientific notation.
-3582

Accepted Answer

A)  $3.582 \times 10 ^ { 1 }$ 
B)  $3.582 \times 10 ^ { - 3 }$ 
C)  $3.582 \times 10 ^ { 4 }$ 
D)  $3.582 \times 10 ^ { 3 }$ 
A)  $3.582 \times 10 ^ { 1 }$ 
B)  $3.582 \times 10 ^ { - 3 }$ 
C)  $3.582 \times 10 ^ { 4 }$ 
D)  $3.582 \times 10 ^ { 3 }$ D

Question 3

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
-$( - 2 a ) ^ { 6 }$

Accepted Answer

A)  $- 12 a$ 
B)  $a 6$ 
C)  $- 12 a ^ { 6 }$ 
D)  $a$ 
A)  $- 12 a$ 
B)  $a 6$ 
C)  $- 12 a ^ { 6 }$ 
D)  $a$ B

Question 4

Multiply and leave your answer in exponent form.
-$\left( 5 ^ { 9 } \right) \left( 5 ^ { 8 } \right)$

Accepted Answer

A)  572 
B)  2572 
C)  2517 
D)  517 
A)  572 
B)  2572 
C)  2517 
D)  517

Question 5

Solve the problem.
-$$10 x ^ { 6 } ( - 3 x + 8 )$$

Accepted Answer

A)  $- 30 x ^ { 7 } + 80 x ^ { 6 }$ 
B)  $- 30 x + 80$ 
C)  $50 x ^ { 6 }$ 
D)  $- 30 x ^ { 7 } + 8$ 
A)  $- 30 x ^ { 7 } + 80 x ^ { 6 }$ 
B)  $- 30 x + 80$ 
C)  $50 x ^ { 6 }$ 
D)  $- 30 x ^ { 7 } + 8$

Question 6

Solve.
-$$- 9 x ^ { 5 } + 9 x ^ { 4 } - 1$$

Accepted Answer

A)  trinomial, degree 5 
B)  binomial, degree 5 
C)  trinomial, degree 10 
D)  trinomial, degree 9 
A)  trinomial, degree 5 
B)  binomial, degree 5 
C)  trinomial, degree 10 
D)  trinomial, degree 9

Question 7

Write in simplest exponent form.
-4 ·4 ·4 ·4 ·4 ·4 · x · x

Accepted Answer

A)  $4 ^ { 6 } x ^ { 2 }$ 
B)  $6 ^ { 4 } x ^ { 2 }$ 
C)  $24 x ^ { 2 }$ 
D)  $4^5 x ^ { 2 }$ 
A)  $4 ^ { 6 } x ^ { 2 }$ 
B)  $6 ^ { 4 } x ^ { 2 }$ 
C)  $24 x ^ { 2 }$ 
D)  $4^5 x ^ { 2 }$

Question 8

Solve.
-A particle is observed moving at $2.18 \times 10 ^ { - 3 }$ meters per second. Find the distance the particle would travel in $1.82 \times 10 ^ { - 4 }$ seconds.

Accepted Answer

A)  $3.97 \times 10 ^ { - 8 }$ meters 
B)  $0.40 \times 10 ^ { - 7 }$ meters 
C)  $3.97 \times 10 ^ { - 6 }$ meters 
D)  $3.97 \times 10 ^ { - 7 }$ meters 
A)  $3.97 \times 10 ^ { - 8 }$ meters 
B)  $0.40 \times 10 ^ { - 7 }$ meters 
C)  $3.97 \times 10 ^ { - 6 }$ meters 
D)  $3.97 \times 10 ^ { - 7 }$ meters

Question 9

Solve the problem.
-$- 12 x ^ { 7 } \left( 11 x ^ { 4 } - 7 x ^ { 2 } \right)$

Accepted Answer

A)  $- 48 x ^ { 7 }$ 
B)  $- 132 x ^ { 11 } - 7 x ^ { 2 }$ 
C)  $- 48 x ^ { 11 } - 48 x ^ { 9 }$ 
D)  $- 132 x ^{11} + 84 x ^ { 9 }$ 
A)  $- 48 x ^ { 7 }$ 
B)  $- 132 x ^ { 11 } - 7 x ^ { 2 }$ 
C)  $- 48 x ^ { 11 } - 48 x ^ { 9 }$ 
D)  $- 132 x ^{11} + 84 x ^ { 9 }$

Question 10

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

Accepted Answer

A)  $2 x ^ { 2 } + 12 x - 6$ 
B)  $- 2 x ^ { 2 } + 4 x + 6$ 
C)  $2 x ^ { 2 } - 12 x$ 
D)  $2 x ^ { 2 } + 12 x$ 
A)  $2 x ^ { 2 } + 12 x - 6$ 
B)  $- 2 x ^ { 2 } + 4 x + 6$ 
C)  $2 x ^ { 2 } - 12 x$ 
D)  $2 x ^ { 2 } + 12 x$

Question 11

Write in decimal notation.
-$8.727 \times 10 ^ { 6 }$

Accepted Answer

A)  872,700 
B)  $87,270,000$ 
C)  $523.62$ 
D)  $8,727,000$ 
A)  872,700 
B)  $87,270,000$ 
C)  $523.62$ 
D)  $8,727,000$

Question 12

Solve the problem.
-$$\left( x + \frac { 6 } { 7 } \right) \left( x - \frac { 5 } { 7 } \right)$$

Accepted Answer

A)  $x ^ { 2 } + \frac { 1 } { 7 } x - \frac { 30 } { 49 }$ 
B)  $x ^ { 2 } + \frac { 11 } { 7 } x - \frac { 30 } { 49 }$ 
C)  $x ^ { 2 } + \frac { 37 } { 49 } x + \frac { 1 } { 49 }$ 
D)  $x ^ { 2 } + \frac { 37 } { 49 } x - \frac { 30 } { 49 }$ 
A)  $x ^ { 2 } + \frac { 1 } { 7 } x - \frac { 30 } { 49 }$ 
B)  $x ^ { 2 } + \frac { 11 } { 7 } x - \frac { 30 } { 49 }$ 
C)  $x ^ { 2 } + \frac { 37 } { 49 } x + \frac { 1 } { 49 }$ 
D)  $x ^ { 2 } + \frac { 37 } { 49 } x - \frac { 30 } { 49 }$

Question 13

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
-$\left( x ^ { 5 } \right) ^ { 6 }$

Accepted Answer

A)  $6 x ^ { 5 }$ 
B)  $6 x ^ { 30 }$ 
C)  $x ^ { 30 }$ 
D)  $x ^ { 11 }$ 
A)  $6 x ^ { 5 }$ 
B)  $6 x ^ { 30 }$ 
C)  $x ^ { 30 }$ 
D)  $x ^ { 11 }$

Question 14

Write in scientific notation.
-6,400,000

Accepted Answer

A)  $6.4 \times 10 ^ { - 7 }$ 
B)  $6.4 \times 10 ^ { - 6 }$ 
C)  $6.4 \times 10 ^ { 7 }$ 
D)  $6.4 \times 10 ^ { 6 }$ 
A)  $6.4 \times 10 ^ { - 7 }$ 
B)  $6.4 \times 10 ^ { - 6 }$ 
C)  $6.4 \times 10 ^ { 7 }$ 
D)  $6.4 \times 10 ^ { 6 }$

Question 15

Solve
-The polynomial 0.8x - 55 models the relationship between the number of pretzels x that a certain vendor sells and the profit the vendor makes. Find the profit the vendor makes from selling 900 pretzels.

Accepted Answer

A) $665.00 
B) $720.00 
C) $845.00 
D) -$47.00 
A) $665.00 
B) $720.00 
C) $845.00 
D) -$47.00

Question 16

Perform the indicated operations.
-$$\left( 2 x ^ { 7 } + 8 x ^ { 9 } - 5 + 2 x ^ { 8 } \right) - \left( 6 + 8 x ^ { 8 } + 3 x ^ { 9 } - 9 x ^ { 7 } \right)$$

Accepted Answer

A)  $x ^ { 9 } - 6 x ^ { 8 } + 11 x ^ { 7 } - 11$ 
B)  $x ^ { 9 } + 10 x ^ { 8 } - 7 x ^ { 7 } + 1$ 
C)  $11 x ^ { 9 } + 10 x ^ { 8 } - 7 x ^ { 7 } + 1$ 
D)  $11 x ^ { 9 } + 10 x ^ { 8 } - 7 x ^ { 7 } - 11$ 
A)  $x ^ { 9 } - 6 x ^ { 8 } + 11 x ^ { 7 } - 11$ 
B)  $x ^ { 9 } + 10 x ^ { 8 } - 7 x ^ { 7 } + 1$ 
C)  $11 x ^ { 9 } + 10 x ^ { 8 } - 7 x ^ { 7 } + 1$ 
D)  $11 x ^ { 9 } + 10 x ^ { 8 } - 7 x ^ { 7 } - 11$

Question 17

Multiply and leave your answer in exponent form.
-$\left( 5 x ^ { 3 } y \right) \left( 6 x ^ { 5 } y ^ { 2 } \right)$

Accepted Answer

A)  $30 x ^ { 15 } y ^ { 2 }$ 
B)  $30 x ^ { 8 } y ^ { 3 }$ 
C)  $11 x ^ { 8 } y ^ { 2 }$ 
D)  $30 x ^ { 8 } y ^ { 2 }$ 
A)  $30 x ^ { 15 } y ^ { 2 }$ 
B)  $30 x ^ { 8 } y ^ { 3 }$ 
C)  $11 x ^ { 8 } y ^ { 2 }$ 
D)  $30 x ^ { 8 } y ^ { 2 }$

Question 18

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
-$$\left( 4 x ^ { 6 } y ^ { 5 } \right) ^ { - 2 }$$

Accepted Answer

A)  $16 x ^ { 12 } y ^ { 10 }$ 
B)  $\frac { 1 } { 16 x ^ { 12 } y ^ { 10 } }$ 
C)  $\frac { 1 } { 4 x ^ { 12 } y ^ { 10 } }$ 
D)  $\frac { 16 } { x ^ { 12 } y ^ { 10 } }$ 
A)  $16 x ^ { 12 } y ^ { 10 }$ 
B)  $\frac { 1 } { 16 x ^ { 12 } y ^ { 10 } }$ 
C)  $\frac { 1 } { 4 x ^ { 12 } y ^ { 10 } }$ 
D)  $\frac { 16 } { x ^ { 12 } y ^ { 10 } }$

Question 19

Perform the indicated operations.
-(11x - 14)- (14x - 19)

Accepted Answer

A) 25x - 33 
B) -3x - 33 
C) 25x + 5 
D) -3x + 5 
A) 25x - 33 
B) -3x - 33 
C) 25x + 5 
D) -3x + 5

Question 20

Perform the indicated operations.
-$$8 x - ( 15 - 4 x )$$

Accepted Answer

A)  $12 x + 15$ 
B)  $4 x + 15$ 
C)  $12 x - 15$ 
D)  $4 x - 15$ 
A)  $12 x + 15$ 
B)  $4 x + 15$ 
C)  $12 x - 15$ 
D)  $4 x - 15$

Solve. -A computer compiles a program in $8.637 \times 10 ^ { - 6 }$ seconds. Write this in decimal notation.

Write in scientific notation. -3582

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - $( - 2 a ) ^ { 6 }$

Multiply and leave your answer in exponent form. - $\left( 5 ^ { 9 } \right) \left( 5 ^ { 8 } \right)$

Solve the problem. - $10 x ^ { 6 } ( - 3 x + 8 )$

Solve. - $- 9 x ^ { 5 } + 9 x ^ { 4 } - 1$

Write in simplest exponent form. -4 ·4 ·4 ·4 ·4 ·4 · x · x

Solve. -A particle is observed moving at $2.18 \times 10 ^ { - 3 }$ meters per second. Find the distance the particle would travel in $1.82 \times 10 ^ { - 4 }$ seconds.

Solve the problem. - $- 12 x ^ { 7 } \left( 11 x ^ { 4 } - 7 x ^ { 2 } \right)$

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

Write in decimal notation. - $8.727 \times 10 ^ { 6 }$

Solve the problem. - $\left( x + \frac { 6 } { 7 } \right) \left( x - \frac { 5 } { 7 } \right)$

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - $\left( x ^ { 5 } \right) ^ { 6 }$

Write in scientific notation. -6,400,000

Solve -The polynomial 0.8x - 55 models the relationship between the number of pretzels x that a certain vendor sells and the profit the vendor makes. Find the profit the vendor makes from selling 900 pretzels.

Perform the indicated operations. - $\left( 2 x ^ { 7 } + 8 x ^ { 9 } - 5 + 2 x ^ { 8 } \right) - \left( 6 + 8 x ^ { 8 } + 3 x ^ { 9 } - 9 x ^ { 7 } \right)$

Multiply and leave your answer in exponent form. - $\left( 5 x ^ { 3 } y \right) \left( 6 x ^ { 5 } y ^ { 2 } \right)$

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero. - $\left( 4 x ^ { 6 } y ^ { 5 } \right) ^ { - 2 }$

Perform the indicated operations. -(11x - 14)- (14x - 19)

Perform the indicated operations. - $8 x - ( 15 - 4 x )$

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 8.637×10−68.637 \times 10 ^ { - 6 }8.637×10−6 seconds. Write this in decimal notation.

Write in scientific notation. -3582

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero. - (−2a)6( - 2 a ) ^ { 6 }(−2a)6

Multiply and leave your answer in exponent form. - (59)(58)\left( 5 ^ { 9 } \right) \left( 5 ^ { 8 } \right)(59)(58)

Solve the problem. - 10x6(−3x+8)10 x ^ { 6 } ( - 3 x + 8 )10x6(−3x+8)

Solve. - −9x5+9x4−1- 9 x ^ { 5 } + 9 x ^ { 4 } - 1−9x5+9x4−1