Question 1

Perform the operation. Leave answer in scientific notation. $\left( 3.2 \times 10 ^ { 6 } \right) \left( 4.4 \times 10 ^ { 2 } \right)$

Accepted Answer

A)  $14.08 \times 10 ^ { 8 }$ 
B)  $1.408 \times 10 ^ { 9 }$ 
C)  $1.408 \times 10 ^ { 7 }$ 
D)  $1.408 \times 10 ^ { 8 }$ 
A)  $14.08 \times 10 ^ { 8 }$ 
B)  $1.408 \times 10 ^ { 9 }$ 
C)  $1.408 \times 10 ^ { 7 }$ 
D)  $1.408 \times 10 ^ { 8 }$

Question 2

Multiply. $4 m y ( 3 m - y ) ( 4 m - y )$

Accepted Answer

A)  $48 m ^ { 3 } y - 12 m ^ { 2 } y + 12 m y ^ { 2 } - 4 m y ^ { 3 }$ 
B)  $48 m ^ { 3 } y - 12 m ^ { 3 } y ^ { 2 } - 12 m ^ { 2 } y ^ { 3 } - 4 m y ^ { 3 }$ 
C)  $48 m ^ { 3 } y - 12 m ^ { 2 } y ^ { 2 } + 4 m y ^ { 3 }$ 
D)  $48 m ^ { 3 } y - 24 m ^ { 2 } y ^ { 2 } + 4 m y ^ { 3 }$ 
E)  $48 m ^ { 3 } y - 28 m ^ { 2 } y ^ { 2 } + 4 m y ^ { 3 }$ 
A)  $48 m ^ { 3 } y - 12 m ^ { 2 } y + 12 m y ^ { 2 } - 4 m y ^ { 3 }$ 
B)  $48 m ^ { 3 } y - 12 m ^ { 3 } y ^ { 2 } - 12 m ^ { 2 } y ^ { 3 } - 4 m y ^ { 3 }$ 
C)  $48 m ^ { 3 } y - 12 m ^ { 2 } y ^ { 2 } + 4 m y ^ { 3 }$ 
D)  $48 m ^ { 3 } y - 24 m ^ { 2 } y ^ { 2 } + 4 m y ^ { 3 }$ 
E)  $48 m ^ { 3 } y - 28 m ^ { 2 } y ^ { 2 } + 4 m y ^ { 3 }$

Question 3

Write the number in standard notation. $4.64 \times 10 ^ { 0 }$

Accepted Answer

A)  0 
B)  46.4 
C)  0.464 
D)  4.64 
E)  1 
A)  0 
B)  46.4 
C)  0.464 
D)  4.64 
E)  1

Question 4

A second degree polynomial function is also called a(n) __________ function.

Accepted Answer

The answer of A second degree polynomial function is also...

Question 5

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

Accepted Answer

A)  $- 4 x ^ { 2 } - 3 x - 8$ 
B)  $- 4 x ^ { 2 } - 3 x + 6$ 
C)  $- 4 x ^ { 2 } + 3 x + 10$ 
D)  $4 x ^ { 2 } - 1 x - 6$ 
E)  $6 x ^ { 2 } - 1 x + 10$ 
A)  $- 4 x ^ { 2 } - 3 x - 8$ 
B)  $- 4 x ^ { 2 } - 3 x + 6$ 
C)  $- 4 x ^ { 2 } + 3 x + 10$ 
D)  $4 x ^ { 2 } - 1 x - 6$ 
E)  $6 x ^ { 2 } - 1 x + 10$

Question 6

Simplify: $- 7 y ^ { 2 } - 6 y ^ { 3 } - 7 + 2 y ^ { 3 } - 3 y ^ { 2 }$

Accepted Answer

A)  $- 4 y ^ { 6 } - 10 y ^ { 4 } - 7$ 
B)  $- 4 y ^ { 3 } - 10 y ^ { 2 } - 7$ 
C)  $4 y ^ { 3 } + 10 y ^ { 2 } + 7$ 
D)  $- 4 y ^ { 3 } + 10 y ^ { 2 } - 7$ 
A)  $- 4 y ^ { 6 } - 10 y ^ { 4 } - 7$ 
B)  $- 4 y ^ { 3 } - 10 y ^ { 2 } - 7$ 
C)  $4 y ^ { 3 } + 10 y ^ { 2 } + 7$ 
D)  $- 4 y ^ { 3 } + 10 y ^ { 2 } - 7$

Question 7

Classify the polynomial as a monomial, binomial, trinomial, or none of these. $4 x ^ { 3 } y - 7 x + 5 y$

Accepted Answer

A)  monomial 
B)  binomial 
C)  trinomial 
D)  none of these 
A)  monomial 
B)  binomial 
C)  trinomial 
D)  none of these

Question 8

Perform the indicated operations. $( a - b ) ( a + b ) ( a - 9 b )$

Accepted Answer

A)  $a ^ { 3 } - a b ^ { 2 } - 9 a ^ { 2 } b + 9 b ^ { 3 }$ 
B)  $a ^ { 3 } - 10 a ^ { 2 } b + 9 b ^ { 3 }$ 
C)  $a ^ { 3 } - a b - 9 a ^ { 2 } b + 9 b ^ { 3 }$ 
D)  $a ^ { 3 } + a b ^ { 2 } + 9 a ^ { 2 } b + 9 b ^ { 3 }$ 
E)  $a ^ { 3 } - 10 a b ^ { 2 } + 9 b ^ { 3 }$ 
A)  $a ^ { 3 } - a b ^ { 2 } - 9 a ^ { 2 } b + 9 b ^ { 3 }$ 
B)  $a ^ { 3 } - 10 a ^ { 2 } b + 9 b ^ { 3 }$ 
C)  $a ^ { 3 } - a b - 9 a ^ { 2 } b + 9 b ^ { 3 }$ 
D)  $a ^ { 3 } + a b ^ { 2 } + 9 a ^ { 2 } b + 9 b ^ { 3 }$ 
E)  $a ^ { 3 } - 10 a b ^ { 2 } + 9 b ^ { 3 }$

Question 9

Use a special product formula to find the product. $( 6 a + b ) ^ { 2 }$

Accepted Answer

The answer of Use a special product formula to find...

Question 10

Factor the expression completely. $2 ( a - b ) ^ { 2 } + 5 ( a - b ) + 3$ If the expression is prime, so indicate.

Accepted Answer

The answer of Factor the expression completely. \(2 ( a...

Question 11

Write the number in scientific notation. $0.0082$  $\times 10 ^ { - }$

Accepted Answer

The answer of Write the number in scientific notation. $0.0082$...

Question 12

Simplify: $a ^ { - 3 } \cdot a ^ { - 4 } \cdot a ^ { 3 }$

Accepted Answer

A)  $a ^ { 36 }$ 
B)  $\frac { 1 } { a ^ { 4 } }$ 
C)  $a ^ { 2 }$ 
D)  $\frac { 3 } { a ^ { 4 } }$ 
A)  $a ^ { 36 }$ 
B)  $\frac { 1 } { a ^ { 4 } }$ 
C)  $a ^ { 2 }$ 
D)  $\frac { 3 } { a ^ { 4 } }$

Question 13

Factor the expression completely. If the expression is prime, so indicate. $6 x ^ { 2 } - 49 - 7 x$

Accepted Answer

A)  $( 2 x + 7 ) ( 3 x - 7 )$ 
B)  $( 2 x - 7 ) ( 3 x + 7 )$ 
C)  $( 2 x - 7 ) ( 3 x - 7 )$ 
D)  $( 2 x + 7 ) ( 3 x + 7 )$ 
E)  prime 
A)  $( 2 x + 7 ) ( 3 x - 7 )$ 
B)  $( 2 x - 7 ) ( 3 x + 7 )$ 
C)  $( 2 x - 7 ) ( 3 x - 7 )$ 
D)  $( 2 x + 7 ) ( 3 x + 7 )$ 
E)  prime

Question 14

Simplify: $( 3 y - 5 ) ^ { 2 } - ( y + 2 ) ( y - 2 )$

Accepted Answer

A)  $8 y ^ { 2 } + 29$ 
B)  $8 y ^ { 2 } - 30 y + 29$ 
C)  $8 y ^ { 2 } - 30 y + 21$ 
D)  $8 y ^ { 2 } + 21$ 
A)  $8 y ^ { 2 } + 29$ 
B)  $8 y ^ { 2 } - 30 y + 29$ 
C)  $8 y ^ { 2 } - 30 y + 21$ 
D)  $8 y ^ { 2 } + 21$

Question 15

Find the error in the following work. Then rework and give the correct answer. $( 3 x - 2 y ) ^ { 2 } = 9 x ^ { 2 } + 4 y ^ { 2 }$

Accepted Answer

The middle term was

Question 16

Solve the equation. $2 y ^ { 2 } - 7 y + 3 = 0$

Accepted Answer

A)  $y = \frac { 2 } { 3 } , y = 3$ 
B)  $y = \frac { 3 } { 4 } , y = 2$ 
C)  $y = \frac { 1 } { 2 } , y = 3$ 
D)  $y = \frac { 1 } { 2 } , y = 1$ 
E)  $y = \frac { 3 } { 4 } , y = 1$ 
A)  $y = \frac { 2 } { 3 } , y = 3$ 
B)  $y = \frac { 3 } { 4 } , y = 2$ 
C)  $y = \frac { 1 } { 2 } , y = 3$ 
D)  $y = \frac { 1 } { 2 } , y = 1$ 
E)  $y = \frac { 3 } { 4 } , y = 1$

Question 17

Let $f ( x ) = x ^ { 2 } - 9 x + 21$ For what value(s) of x is $f ( x ) = 1$ ?

Accepted Answer

A)  $x = 7 , x = 8$ 
B)  $x = 8 , x = 9$ 
C)  $x = 5 , x = 4$ 
D)  $x = 6 , x = 7$ 
E)  $x = 5 , x = 6$ 
A)  $x = 7 , x = 8$ 
B)  $x = 8 , x = 9$ 
C)  $x = 5 , x = 4$ 
D)  $x = 6 , x = 7$ 
E)  $x = 5 , x = 6$

Question 18

Determine whether the equation is a quadratic equation. $w ^ { 2 } + 11 w + 12 = 0$ Answer yes or no .

Accepted Answer

The answer of Determine whether the equation is a quadratic...

Question 19

Find a polynomial equation of degree 3 with the solutions $- 1,6 \text {, and } 9$ . Leave answer in standard form with the smallest integer coefficients.

Accepted Answer

The answer of Find a polynomial equation of degree 3...

Question 20

Factor the expression completely. If the expression is prime, so indicate. $- 3 x ^ { 2 } y - 6 x y ^ { 2 } + 15 x y$

Accepted Answer

A)  $- 2 x y ( x - 4 y + 4 )$ 
B)  $- 2 x y ( x + 4 y - 4 )$ 
C)  $- 3 x y ( x - 2 y + 5 )$ 
D)  $- 3 x y ( x + 2 y - 5 )$ 
E)  prime 
A)  $- 2 x y ( x - 4 y + 4 )$ 
B)  $- 2 x y ( x + 4 y - 4 )$ 
C)  $- 3 x y ( x - 2 y + 5 )$ 
D)  $- 3 x y ( x + 2 y - 5 )$ 
E)  prime

Perform the operation. Leave answer in scientific notation. $\left( 3.2 \times 10 ^ { 6 } \right) \left( 4.4 \times 10 ^ { 2 } \right)$

Multiply. $4 m y ( 3 m - y ) ( 4 m - y )$

Write the number in standard notation. $4.64 \times 10 ^ { 0 }$

A second degree polynomial function is also called a(n) __________ function.

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

Simplify: $- 7 y ^ { 2 } - 6 y ^ { 3 } - 7 + 2 y ^ { 3 } - 3 y ^ { 2 }$

Classify the polynomial as a monomial, binomial, trinomial, or none of these. $4 x ^ { 3 } y - 7 x + 5 y$

Perform the indicated operations. $( a - b ) ( a + b ) ( a - 9 b )$

Use a special product formula to find the product. $( 6 a + b ) ^ { 2 }$

Factor the expression completely. $2 ( a - b ) ^ { 2 } + 5 ( a - b ) + 3$ If the expression is prime, so indicate.

Write the number in scientific notation. $0.0082$ $Write the number in scientific notation. 0.0082 \times 10 ^ { - }$ $\times 10 ^ { - }$

Simplify: $a ^ { - 3 } \cdot a ^ { - 4 } \cdot a ^ { 3 }$

Factor the expression completely. If the expression is prime, so indicate. $6 x ^ { 2 } - 49 - 7 x$

Simplify: $( 3 y - 5 ) ^ { 2 } - ( y + 2 ) ( y - 2 )$

Find the error in the following work. Then rework and give the correct answer. $( 3 x - 2 y ) ^ { 2 } = 9 x ^ { 2 } + 4 y ^ { 2 }$

Solve the equation. $2 y ^ { 2 } - 7 y + 3 = 0$

Let $f ( x ) = x ^ { 2 } - 9 x + 21$ For what value(s) of x is $f ( x ) = 1$ ?

Determine whether the equation is a quadratic equation. $w ^ { 2 } + 11 w + 12 = 0$ Answer yes or no .

Find a polynomial equation of degree 3 with the solutions $- 1,6 \text {, and } 9$ . Leave answer in standard form with the smallest integer coefficients.

Factor the expression completely. If the expression is prime, so indicate. $- 3 x ^ { 2 } y - 6 x y ^ { 2 } + 15 x y$

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Exam 5: Exponents, Polynomials, and Polynomial Functions

Perform the operation. Leave answer in scientific notation. (3.2×106)(4.4×102)\left( 3.2 \times 10 ^ { 6 } \right) \left( 4.4 \times 10 ^ { 2 } \right)(3.2×106)(4.4×102)

Multiply. 4my(3m−y)(4m−y)4 m y ( 3 m - y ) ( 4 m - y )4my(3m−y)(4m−y)

Write the number in standard notation. 4.64×1004.64 \times 10 ^ { 0 }4.64×100

A second degree polynomial function is also called a(n) __________ function.

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

Simplify: −7y2−6y3−7+2y3−3y2- 7 y ^ { 2 } - 6 y ^ { 3 } - 7 + 2 y ^ { 3 } - 3 y ^ { 2 }−7y2−6y3−7+2y3−3y2

Classify the polynomial as a monomial, binomial, trinomial, or none of these. 4x3y−7x+5y4 x ^ { 3 } y - 7 x + 5 y4x3y−7x+5y

Perform the indicated operations. (a−b)(a+b)(a−9b)( a - b ) ( a + b ) ( a - 9 b )(a−b)(a+b)(a−9b)

Use a special product formula to find the product. (6a+b)2( 6 a + b ) ^ { 2 }(6a+b)2

Factor the expression completely. 2(a−b)2+5(a−b)+32 ( a - b ) ^ { 2 } + 5 ( a - b ) + 32(a−b)2+5(a−b)+3 If the expression is prime, so indicate.

Write the number in scientific notation. 0.00820.00820.0082 ×10−\times 10 ^ { - }×10−

Simplify: a−3⋅a−4⋅a3a ^ { - 3 } \cdot a ^ { - 4 } \cdot a ^ { 3 }a−3⋅a−4⋅a3

Factor the expression completely. If the expression is prime, so indicate. 6x2−49−7x6 x ^ { 2 } - 49 - 7 x6x2−49−7x

Simplify: (3y−5)2−(y+2)(y−2)( 3 y - 5 ) ^ { 2 } - ( y + 2 ) ( y - 2 )(3y−5)2−(y+2)(y−2)

Find the error in the following work. Then rework and give the correct answer. (3x−2y)2=9x2+4y2( 3 x - 2 y ) ^ { 2 } = 9 x ^ { 2 } + 4 y ^ { 2 }(3x−2y)2=9x2+4y2

Solve the equation. 2y2−7y+3=02 y ^ { 2 } - 7 y + 3 = 02y2−7y+3=0

Let f(x)=x2−9x+21f ( x ) = x ^ { 2 } - 9 x + 21f(x)=x2−9x+21 For what value(s) of x is f(x)=1f ( x ) = 1f(x)=1 ?

Determine whether the equation is a quadratic equation. w2+11w+12=0w ^ { 2 } + 11 w + 12 = 0w2+11w+12=0 Answer yes or no .

Find a polynomial equation of degree 3 with the solutions −1,6, and 9- 1,6 \text {, and } 9−1,6, and 9 . Leave answer in standard form with the smallest integer coefficients.

Factor the expression completely. If the expression is prime, so indicate. −3x2y−6xy2+15xy- 3 x ^ { 2 } y - 6 x y ^ { 2 } + 15 x y−3x2y−6xy2+15xy

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Perform the operation. Leave answer in scientific notation. $\left( 3.2 \times 10 ^ { 6 } \right) \left( 4.4 \times 10 ^ { 2 } \right)$

Multiply. $4 m y ( 3 m - y ) ( 4 m - y )$

Write the number in standard notation. $4.64 \times 10 ^ { 0 }$

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

Simplify: $- 7 y ^ { 2 } - 6 y ^ { 3 } - 7 + 2 y ^ { 3 } - 3 y ^ { 2 }$

Classify the polynomial as a monomial, binomial, trinomial, or none of these. $4 x ^ { 3 } y - 7 x + 5 y$

Perform the indicated operations. $( a - b ) ( a + b ) ( a - 9 b )$

Use a special product formula to find the product. $( 6 a + b ) ^ { 2 }$

Factor the expression completely. $2 ( a - b ) ^ { 2 } + 5 ( a - b ) + 3$ If the expression is prime, so indicate.

Write the number in scientific notation. $0.0082$ $Write the number in scientific notation. 0.0082 \times 10 ^ { - }$ $\times 10 ^ { - }$

Simplify: $a ^ { - 3 } \cdot a ^ { - 4 } \cdot a ^ { 3 }$

Factor the expression completely. If the expression is prime, so indicate. $6 x ^ { 2 } - 49 - 7 x$

Simplify: $( 3 y - 5 ) ^ { 2 } - ( y + 2 ) ( y - 2 )$

Find the error in the following work. Then rework and give the correct answer. $( 3 x - 2 y ) ^ { 2 } = 9 x ^ { 2 } + 4 y ^ { 2 }$

Solve the equation. $2 y ^ { 2 } - 7 y + 3 = 0$

Let $f ( x ) = x ^ { 2 } - 9 x + 21$ For what value(s) of x is $f ( x ) = 1$ ?

Determine whether the equation is a quadratic equation. $w ^ { 2 } + 11 w + 12 = 0$ Answer yes or no .

Find a polynomial equation of degree 3 with the solutions $- 1,6 \text {, and } 9$ . Leave answer in standard form with the smallest integer coefficients.

Factor the expression completely. If the expression is prime, so indicate. $- 3 x ^ { 2 } y - 6 x y ^ { 2 } + 15 x y$