Question 1

Multiply.
-$( w - y ) ^ { 2 }$

Accepted Answer

A)  $w ^ { 2 } + 2 w y + y ^ { 2 }$ 
B)  $w ^ { 2 } - w y + y ^ { 2 }$ 
C)  $w ^ { 2 } - 2 w y - y ^ { 2 }$ 
D)  $w ^ { 2 } - 2 w y + y ^ { 2 }$ 
A)  $w ^ { 2 } + 2 w y + y ^ { 2 }$ 
B)  $w ^ { 2 } - w y + y ^ { 2 }$ 
C)  $w ^ { 2 } - 2 w y - y ^ { 2 }$ 
D)  $w ^ { 2 } - 2 w y + y ^ { 2 }$

Question 2

Evaluate the expression.
-$\left( \frac { 1 } { 8 } \right) ^ { 2 }$

Accepted Answer

A)  $\frac { 1 } { 64 }$ 
B)  $\frac { 1 } { 10 }$ 
C)  $\frac { 1 } { 16 }$ 
D)  $\frac { 1 } { 4 }$ 
A)  $\frac { 1 } { 64 }$ 
B)  $\frac { 1 } { 10 }$ 
C)  $\frac { 1 } { 16 }$ 
D)  $\frac { 1 } { 4 }$

Question 3

Simplify the expression. Write the result using positive exponents only.
-$- 3 ^ { - 2 }$

Accepted Answer

A)  $- \frac { 1 } { 9 }$ 
B)  $\frac { 1 } { 6 }$ 
C)  $- 9$ 
D)  9 
A)  $- \frac { 1 } { 9 }$ 
B)  $\frac { 1 } { 6 }$ 
C)  $- 9$ 
D)  9

Question 4

Simplify the expression.
-$\frac { ( 30 p q ) ^ { 3 } } { 125 p ^ { 3 } q ^ { 3 } }$

Accepted Answer

A)  $216 p ^ { 6 } q ^ { 6 }$ 
B)  $\frac { 216 } { 25 p ^ { 2 } q ^ { 2 } }$ 
C)  216 
D)  $\frac { 6 } { 25 }$ 
A)  $216 p ^ { 6 } q ^ { 6 }$ 
B)  $\frac { 216 } { 25 p ^ { 2 } q ^ { 2 } }$ 
C)  216 
D)  $\frac { 6 } { 25 }$

Question 5

Multiply vertically.
-$( x - 5 ) \left( x ^ { 2 } + 5 x + 25 \right)$

Accepted Answer

A)  $x ^ { 3 } - 10 x ^ { 2 } - 10 x - 125$ 
B)  $x ^ { 3 } + 10 x ^ { 2 } + 10 x - 125$ 
C)  $x ^ { 3 } + 125$ 
D)  $x ^ { 3 } - 125$ 
A)  $x ^ { 3 } - 10 x ^ { 2 } - 10 x - 125$ 
B)  $x ^ { 3 } + 10 x ^ { 2 } + 10 x - 125$ 
C)  $x ^ { 3 } + 125$ 
D)  $x ^ { 3 } - 125$

Question 6

Fill in the blank with one of the words or phrases listed below.

-The________ is the greatest degree of any term of the polynomial.

Accepted Answer

A)  term 
B)  degree of a term 
C)  degree of a polynomial 
D)  coefficient 
A)  term 
B)  degree of a term 
C)  degree of a polynomial 
D)  coefficient

Question 7

Perform the indicated operation.
-$$\begin{array} { r } 
6 a ^ { 5 } - 5 a ^ { 3 } \
- 2 a ^ { 5 } - 5 a ^ { 3 } \
\hline
\end{array}$$

Accepted Answer

A)  $8 a ^ { 5 } - 10 a ^ { 3 }$ 
B)  $8 a ^{10 }- 10 a^ 6$ 
C)  $- 2 a ^{16}$ 
D)  $- 2 a ^ { 8 }$ 
A)  $8 a ^ { 5 } - 10 a ^ { 3 }$ 
B)  $8 a ^{10 }- 10 a^ 6$ 
C)  $- 2 a ^{16}$ 
D)  $- 2 a ^ { 8 }$

Question 8

Divide.
-$\frac { 4 x ^ { 2 } + 3 x y - 5 x } { 12 x y }$

Accepted Answer

A)  $\frac { x } { 3 y } + \frac { 1 } { 4 y } - \frac { 5 } { 12 }$ 
B)  $\frac { 1 } { 3 y } + \frac { 1 } { 4 } - \frac { 5 x } { 12 y }$ 
C)  $\frac { x } { 3 y } + 4 - \frac { 5 } { 12 y }$ 
D)  $\frac { x } { 3 y } + \frac { 1 } { 4 } - \frac { 5 } { 12 y }$ 
A)  $\frac { x } { 3 y } + \frac { 1 } { 4 y } - \frac { 5 } { 12 }$ 
B)  $\frac { 1 } { 3 y } + \frac { 1 } { 4 } - \frac { 5 x } { 12 y }$ 
C)  $\frac { x } { 3 y } + 4 - \frac { 5 } { 12 y }$ 
D)  $\frac { x } { 3 y } + \frac { 1 } { 4 } - \frac { 5 } { 12 y }$

Question 9

Evaluate the expression.
-$- 2^1$

Accepted Answer

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

Question 10

Multiply using the FOIL method.
-$( 4 x - 1 ) ( x - 3 )$

Accepted Answer

A)  $x ^ { 2 } + 3 x - 13$ 
B)  $x ^ { 2 } - 13 x - 14$ 
C)  $4 x ^ { 2 } - 14 x + 3$ 
D)  $4 x ^ { 2 } - 13 x + 3$ 
A)  $x ^ { 2 } + 3 x - 13$ 
B)  $x ^ { 2 } - 13 x - 14$ 
C)  $4 x ^ { 2 } - 14 x + 3$ 
D)  $4 x ^ { 2 } - 13 x + 3$

Question 11

Simplify.
-If $Q ( x ) = 4 x ^ { 2 } + x + 3$, find $Q ( 0 )$

Accepted Answer

A)  7 
B)  0 
C)  $- 3$ 
D)  3 
A)  7 
B)  0 
C)  $- 3$ 
D)  3

Question 12

Find the quotient using long division.
-$\frac { 4 m ^ { 2 } + 23 m - 35 } { m + 7 }$

Accepted Answer

A)  $4 m - 5 + \frac { 3 } { m - 5 }$ 
B)  $m - 5$ 
C)  $4 m - 5$ 
D)  $4 \mathrm {~m} + 5$ 
A)  $4 m - 5 + \frac { 3 } { m - 5 }$ 
B)  $m - 5$ 
C)  $4 m - 5$ 
D)  $4 \mathrm {~m} + 5$

Question 13

Find the quotient using long division.
-$\frac { 6 x ^ { 3 } + 13 x ^ { 2 } + 10 x - 5 } { - 3 x + 1 }$

Accepted Answer

A)  $x ^ { 2 } - 5 x - 5$ 
B)  $- 2 x ^ { 2 } - 5 x - 5$ 
C)  $- 2 x ^ { 2 } - 5$ 
D)  $x ^ { 2 } + 5 x + 5$ 
A)  $x ^ { 2 } - 5 x - 5$ 
B)  $- 2 x ^ { 2 } - 5 x - 5$ 
C)  $- 2 x ^ { 2 } - 5$ 
D)  $x ^ { 2 } + 5 x + 5$

Question 14

Write the number in standard notation.
-A light-year is a measure of length defined as the distance that light travels in one year, which is about $5.9 \times 10 ^ { 12 }$ miles. Write this number in standard notation.

Accepted Answer

A)  $5,900,000,000,000$ 
B)  $0.0000000000059$ 
C)  $5,900,000,000$ 
D)  $5.900000000000$ 
A)  $5,900,000,000,000$ 
B)  $0.0000000000059$ 
C)  $5,900,000,000$ 
D)  $5.900000000000$

Question 15

Multiply.
-$\left( \frac { 4 } { 7 } y - 10 \right) \left( \frac { 4 } { 7 } y + 10 \right)$

Accepted Answer

A)  $\frac { 16 } { 49 } y ^ { 2 } - 20$ 
B)  $\frac { 16 } { 49 } y ^ { 2 } - \frac { 80 } { 7 } y - 100$ 
C)  $\frac { 16 } { 49 } y ^ { 2 } + \frac { 80 } { 7 } y - 100$ 
D)  $\frac { 16 } { 49 } y ^ { 2 } - 100$ 
A)  $\frac { 16 } { 49 } y ^ { 2 } - 20$ 
B)  $\frac { 16 } { 49 } y ^ { 2 } - \frac { 80 } { 7 } y - 100$ 
C)  $\frac { 16 } { 49 } y ^ { 2 } + \frac { 80 } { 7 } y - 100$ 
D)  $\frac { 16 } { 49 } y ^ { 2 } - 100$

Question 16

Perform the indicated operation.
-$8 z - ( 18 - 3 z )$

Accepted Answer

A)  $5 z + 18$ 
B)  $5 z - 18$ 
C)  $11 z + 18$ 
D)  $11 \mathrm { z } - 18$ 
A)  $5 z + 18$ 
B)  $5 z - 18$ 
C)  $11 z + 18$ 
D)  $11 \mathrm { z } - 18$

Question 17

Write the number in standard notation.
-$8.86 \times 10 ^ { 7 }$

Accepted Answer

A)  $88,600,000$ 
B)  $8,860,000$ 
C)  $620.2$ 
D)  $886,000,000$ 
A)  $88,600,000$ 
B)  $8,860,000$ 
C)  $620.2$ 
D)  $886,000,000$

Question 18

Find the area of the shaded square.
-

Accepted Answer

A)  $\left( 121 x ^ { 2 } - 198 x + 81 \right) s q f t$ 
B)  $\left( 121 x ^ { 2 } - 198 x - 81 \right) s q f t$ 
C)  $\left( 121 x ^ { 2 } + 198 x - 81 \right) s q f t$ 
D)  $\left( 121 x ^ { 2 } + 198 x + 81 \right) s q f t$ 
A)  $\left( 121 x ^ { 2 } - 198 x + 81 \right) s q f t$ 
B)  $\left( 121 x ^ { 2 } - 198 x - 81 \right) s q f t$ 
C)  $\left( 121 x ^ { 2 } + 198 x - 81 \right) s q f t$ 
D)  $\left( 121 x ^ { 2 } + 198 x + 81 \right) s q f t$

Question 19

For the given polynomial P(x) and the given c, use the remainder theorem to find P(c).
-$P ( x ) = - 2 x ^ { 2 } - 7 x - 9 ; \frac { 1 } { 3 }$

Accepted Answer

A)  $- \frac { 104 } { 9 }$ 
B)  2 
C)  $\frac { 104 } { 9 }$ 
D)  $- 2$ 
A)  $- \frac { 104 } { 9 }$ 
B)  2 
C)  $\frac { 104 } { 9 }$ 
D)  $- 2$

Question 20

Simplify the exponential expression. Write the result using only positive exponents.
-$\frac { 5 ^ { 5 } x ^ { - 2 } y ^ { 4 } } { 5 ^ { 8 } x ^ { - 5 } y ^ { 8 } }$

Accepted Answer

A)  $\frac { 125 } { x ^ { 3 } y ^ { 4 } }$ 
B)  $\frac { 1 } { 125 x ^ { 5 } y ^ { 4 } }$ 
C)  $\frac { 3 x ^ { 3 } } { y ^ { 4 } }$ 
D)  $\frac { x ^ { 3 } } { 125 y ^ { 4 } }$ 
A)  $\frac { 125 } { x ^ { 3 } y ^ { 4 } }$ 
B)  $\frac { 1 } { 125 x ^ { 5 } y ^ { 4 } }$ 
C)  $\frac { 3 x ^ { 3 } } { y ^ { 4 } }$ 
D)  $\frac { x ^ { 3 } } { 125 y ^ { 4 } }$

Multiply. - $( w - y ) ^ { 2 }$

Evaluate the expression. - $\left( \frac { 1 } { 8 } \right) ^ { 2 }$

Simplify the expression. Write the result using positive exponents only. - $- 3 ^ { - 2 }$

Simplify the expression. - $\frac { ( 30 p q ) ^ { 3 } } { 125 p ^ { 3 } q ^ { 3 } }$

Multiply vertically. - $( x - 5 ) \left( x ^ { 2 } + 5 x + 25 \right)$

Fill in the blank with one of the words or phrases listed below. -The________ is the greatest degree of any term of the polynomial.

Perform the indicated operation. - 6-5 -2-5

Divide. - $\frac { 4 x ^ { 2 } + 3 x y - 5 x } { 12 x y }$

Evaluate the expression. - $- 2^1$

Multiply using the FOIL method. - $( 4 x - 1 ) ( x - 3 )$

Simplify. -If $Q ( x ) = 4 x ^ { 2 } + x + 3$ , find $Q ( 0 )$

Find the quotient using long division. - $\frac { 4 m ^ { 2 } + 23 m - 35 } { m + 7 }$

Find the quotient using long division. - $\frac { 6 x ^ { 3 } + 13 x ^ { 2 } + 10 x - 5 } { - 3 x + 1 }$

Write the number in standard notation. -A light-year is a measure of length defined as the distance that light travels in one year, which is about $5.9 \times 10 ^ { 12 }$ miles. Write this number in standard notation.

Multiply. - $\left( \frac { 4 } { 7 } y - 10 \right) \left( \frac { 4 } { 7 } y + 10 \right)$

Perform the indicated operation. - $8 z - ( 18 - 3 z )$

Write the number in standard notation. - $8.86 \times 10 ^ { 7 }$

Find the area of the shaded square. -

For the given polynomial P(x) and the given c, use the remainder theorem to find P(c). - $P ( x ) = - 2 x ^ { 2 } - 7 x - 9 ; \frac { 1 } { 3 }$

Simplify the exponential expression. Write the result using only positive exponents. - $\frac { 5 ^ { 5 } x ^ { - 2 } y ^ { 4 } } { 5 ^ { 8 } x ^ { - 5 } y ^ { 8 } }$

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

Exam 5: Exponents and Polynomials

Multiply. - (w−y)2( w - y ) ^ { 2 }(w−y)2

Evaluate the expression. - (18)2\left( \frac { 1 } { 8 } \right) ^ { 2 }(81​)2

Simplify the expression. Write the result using positive exponents only. - −3−2- 3 ^ { - 2 }−3−2

Simplify the expression. - (30pq)3125p3q3\frac { ( 30 p q ) ^ { 3 } } { 125 p ^ { 3 } q ^ { 3 } }125p3q3(30pq)3​

Multiply vertically. - (x−5)(x2+5x+25)( x - 5 ) \left( x ^ { 2 } + 5 x + 25 \right)(x−5)(x2+5x+25)