Question 1

Factor completely. If the polynomial cannot be factored, write "prime."
-$p^{6}+q^{24} r^{24}$

Accepted Answer

A)  $\left(p^{2}+q^{8} r^{8}\right)\left(p^{4}-p^{2} q^{8} r^{8}+q^{16} r^{16}\right)$ 
B)  $\left(p+q^{4} r^{4}\right)\left(p-q^{4} r^{4}\right)\left(p^{4}-p^{2} q^{8} r^{8}+q^{16} r^{16}\right)$ 
C)  $\left(p^{3}+q^{12} r^{12}\right)\left(p^{3}-q^{12} r^{12}\right)$ 
D)  $\left(p+q^{4} r^{4}\right)\left(p-q^{4} r^{4}\right)\left(p^{2}+p q^{4} r^{4}+q^{8} r^{8}\right)\left(p^{2}-q^{4} r^{4}+q^{8} r^{8}\right)$ 
A)  $\left(p^{2}+q^{8} r^{8}\right)\left(p^{4}-p^{2} q^{8} r^{8}+q^{16} r^{16}\right)$ 
B)  $\left(p+q^{4} r^{4}\right)\left(p-q^{4} r^{4}\right)\left(p^{4}-p^{2} q^{8} r^{8}+q^{16} r^{16}\right)$ 
C)  $\left(p^{3}+q^{12} r^{12}\right)\left(p^{3}-q^{12} r^{12}\right)$ 
D)  $\left(p+q^{4} r^{4}\right)\left(p-q^{4} r^{4}\right)\left(p^{2}+p q^{4} r^{4}+q^{8} r^{8}\right)\left(p^{2}-q^{4} r^{4}+q^{8} r^{8}\right)$

Question 2

Find the missing dividend or divisor
-$\frac{?}{\mathrm{x}-5}=3 \mathrm{x}+4$

Accepted Answer

A)  $3 x^{2}+11 x-20$ 
B)  $x^{2}-11 x-20$ 
C)  $3 x^{2}-11 x+20$ 
D)  $3 x^{2}-11 x-20$ 
A)  $3 x^{2}+11 x-20$ 
B)  $x^{2}-11 x-20$ 
C)  $3 x^{2}-11 x+20$ 
D)  $3 x^{2}-11 x-20$

Question 3

Evaluate the given function
-$f(x)=x^{6}, f(-1)$

Accepted Answer

A)  -1 
B)  $-\mathrm{x}$ 
C)  0 
D)  1 
A)  -1 
B)  $-\mathrm{x}$ 
C)  0 
D)  1

Question 4

If a projectile is launched upward from a height of 96 feet at an initial velocity of 80 feet per second, then its height $h$ after $t$ seconds is given by the function $h(t)=-16 t^{2}+80 t+96$. After how many seconds does the projectile land on the ground?

Accepted Answer

A)  6 seconds 
B)  11 seconds 
C)  3.0 seconds 
D)  5.0 seoonds 
A)  6 seconds 
B)  11 seconds 
C)  3.0 seconds 
D)  5.0 seoonds

Question 5

$10 \mathrm{x}^{9} \cdot 5 \mathrm{x}^{10}$

Accepted Answer

A)  $50 x^{19}$ 
B)  $50 x^{90}$ 
C)  $100 x^{19}$ 
D)  $15 x^{19}$ 
A)  $50 x^{19}$ 
B)  $50 x^{90}$ 
C)  $100 x^{19}$ 
D)  $15 x^{19}$

Question 6

Perform the indicated calculation. Express your answer using scientific notation.
-$(7,860,000,000) \div(2,685,000)$

Accepted Answer

A)  $2.93 \times 10^{-3}$ 
B)  $2.93 \times 10^{6}$ 
C)  $2.93 \times 10^{4}$ 
D)  $2.93 \times 10^{3}$ 
A)  $2.93 \times 10^{-3}$ 
B)  $2.93 \times 10^{6}$ 
C)  $2.93 \times 10^{4}$ 
D)  $2.93 \times 10^{3}$

Question 7

$(\mathrm{x}-4)(4 \mathrm{x}+8)=0$

Accepted Answer

A)  $\left\{-\frac{1}{4}, \frac{1}{2}\right\}$ 
B)  $\{2,4\}$ 
C)  $\{-4,2\}$ 
D)  $\left\{-\frac{1}{2}, \frac{1}{4}\right\}$ 
A)  $\left\{-\frac{1}{4}, \frac{1}{2}\right\}$ 
B)  $\{2,4\}$ 
C)  $\{-4,2\}$ 
D)  $\left\{-\frac{1}{2}, \frac{1}{4}\right\}$

Question 8

Divide using long division.
-$\frac{x^{3}+64}{x+4}$

Accepted Answer

A)  $x^{2}-4 x+16$ 
B)  $x^{2}-16 x+4$ 
C)  $x^{2}+16$ 
D)  $x^{2}-4$ 
A)  $x^{2}-4 x+16$ 
B)  $x^{2}-16 x+4$ 
C)  $x^{2}+16$ 
D)  $x^{2}-4$

Question 9

Find the mass, in grams, for the given number of molecules of a compound whose molar mass is given. Round your answer to the nearest hundredth of a gram.
-$3.08 \times 10^{25}$ molecules of silver nitrate $\left(\mathrm{AgNO}_{3}\right)$; molar mass 169.88 grams

Accepted Answer

A)  0.30 grams 
B)  51.16 grams 
C)  8691.53 grams 
D)  523.23 grams 
A)  0.30 grams 
B)  51.16 grams 
C)  8691.53 grams 
D)  523.23 grams

Question 10

Approximately $7 \times 10^{3}$ employees of a certain company average $\$ 30,000$ each year in salary. What is the total amount earned by all the employees of this company per year?

Accepted Answer

A)  $\$ 21 \times 10^{8}$ 
B)  $\$ 2.1 \times 10^{9}$ 
C)  $\$ 2.1 \times 10^{8}$ 
D)  $\$ 21 \times 10^{9}$ 
A)  $\$ 21 \times 10^{8}$ 
B)  $\$ 2.1 \times 10^{9}$ 
C)  $\$ 2.1 \times 10^{8}$ 
D)  $\$ 21 \times 10^{9}$

Question 11

$\left(3 x^{2}+7 x-8\right)+\left(5 x^{2}-11 x+10\right)$

Accepted Answer

A)  $8 x^{2}+4 x+2$ 
B)  $8 x^{2}-4 x+2$ 
C)  $8 x^{2}-18 x+2$ 
D)  $8 x^{2}-4 x+18$ 
A)  $8 x^{2}+4 x+2$ 
B)  $8 x^{2}-4 x+2$ 
C)  $8 x^{2}-18 x+2$ 
D)  $8 x^{2}-4 x+18$

Question 12

Find the missing dividend or divisor
-$\frac{10 x^{7}}{?}=-5 x^{4}$

Accepted Answer

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

Question 13

Choose the one alternative that best completes the statement or answers thequestion.
-$\left(x^{4} y^{9}\right)^{3}$

Accepted Answer

A)  $x^{64} y^{ 729}$ 
B)  $x^{7} y^{12}$ 
C)  $x^{4} y ^{27}$ 
D)  $x^{12} y^{27}$ 
A)  $x^{64} y^{ 729}$ 
B)  $x^{7} y^{12}$ 
C)  $x^{4} y ^{27}$ 
D)  $x^{12} y^{27}$

Question 14

Factor completely. If the polynomial cannot be factored, write "prime."
-$2 x^{2}+23 x+63$

Accepted Answer

A)  $(2 x-56)(x+7)$ 
B)  $(2 x+9)(x+7)$ 
C)  $(x+9)(x+7)$ 
D)  $(x-56)(x+7)$ 
A)  $(2 x-56)(x+7)$ 
B)  $(2 x+9)(x+7)$ 
C)  $(x+9)(x+7)$ 
D)  $(x-56)(x+7)$

Question 15

Factor completely. If the polynomial cannot be factored, write "prime."
-$x^{2} y^{2}-12 x y+35$

Accepted Answer

A)  $(x y+5)(x y-7)$ 
B)  $(x y+5)(x y+7)$ 
C)  $(x y-5)(x y-7)$ 
D)  $(x y-5)(x y+7)$ 
A)  $(x y+5)(x y-7)$ 
B)  $(x y+5)(x y+7)$ 
C)  $(x y-5)(x y-7)$ 
D)  $(x y-5)(x y+7)$

Question 16

Convert the given number to scientific notation
-420

Accepted Answer

A)  $4.2 \times 10^{3}$ 
B)  $4.2 \times 10^{1}$ 
C)  $4.2 \times 10^{-2}$ 
D)  $4.2 \times 10^{2}$ 
A)  $4.2 \times 10^{3}$ 
B)  $4.2 \times 10^{1}$ 
C)  $4.2 \times 10^{-2}$ 
D)  $4.2 \times 10^{2}$

Question 17

$-6 x^{2}\left(x^{2}-5 x-11\right)$

Accepted Answer

A)  $-6 x^{4}+30 x^{3}+66 x^{2}$ 
B)  $-6 x^{4}-30 x^{3}+66 x^{2}$ 
C)  $6 x^{4}-30 x^{3}-66 x^{2}$ 
D)  $6 x^{4}+30 x^{3}-66 x^{2}$ 
A)  $-6 x^{4}+30 x^{3}+66 x^{2}$ 
B)  $-6 x^{4}-30 x^{3}+66 x^{2}$ 
C)  $6 x^{4}-30 x^{3}-66 x^{2}$ 
D)  $6 x^{4}+30 x^{3}-66 x^{2}$

Question 18

Simplify. (A ssume all variables are nonzero.)
-$\left(\frac{x}{5}\right)^{2}$

Accepted Answer

A)  $\frac{x}{25}$ 
B)  $\frac{x^{2}}{5}$ 
C)  $\frac{x^{2}}{25}$ 
D)  $25 x^{2}$ 
A)  $\frac{x}{25}$ 
B)  $\frac{x^{2}}{5}$ 
C)  $\frac{x^{2}}{25}$ 
D)  $25 x^{2}$

Question 19

Factor completely. If the polynomial cannot be factored, write "prime."
-$2 x^{4}-10 x^{3}+8 x^{2}$

Accepted Answer

A)  $2(x+1)\left(x^{3}+4\right)$ 
B)  $x^{2}(2 x-1)(x+4)$ 
C)  $2 x^{2}(x+1)(x-4)$ 
D)  $2 x^{2}(x-1)(x-4)$ 
A)  $2(x+1)\left(x^{3}+4\right)$ 
B)  $x^{2}(2 x-1)(x+4)$ 
C)  $2 x^{2}(x+1)(x-4)$ 
D)  $2 x^{2}(x-1)(x-4)$

Question 20

Factor completely. If the polynomial cannot be factored, write "prime."
-$27 g^{3}+125 h^{3}$

Accepted Answer

A)  $(3 g-5 h)\left(9 g^{2}+25 h^{2}\right)$ 
B)  $(3 g+5 h)\left(9 g^{2}-15 g h+25 h^{2}\right)$ 
C)  $\left(3 g+5 h^{2}\right)\left(9 g^{2}-15 g h+25 h^{2}\right)$ 
D)  $(3 g-5 h)\left(9 g^{2}+15 g h+25 h^{2}\right)$ 
A)  $(3 g-5 h)\left(9 g^{2}+25 h^{2}\right)$ 
B)  $(3 g+5 h)\left(9 g^{2}-15 g h+25 h^{2}\right)$ 
C)  $\left(3 g+5 h^{2}\right)\left(9 g^{2}-15 g h+25 h^{2}\right)$ 
D)  $(3 g-5 h)\left(9 g^{2}+15 g h+25 h^{2}\right)$

Factor completely. If the polynomial cannot be factored, write "prime." - $p^{6}+q^{24} r^{24}$

Find the missing dividend or divisor - $\frac{?}{\mathrm{x}-5}=3 \mathrm{x}+4$

Evaluate the given function - $f(x)=x^{6}, f(-1)$

If a projectile is launched upward from a height of 96 feet at an initial velocity of 80 feet per second, then its height $h$ after $t$ seconds is given by the function $h(t)=-16 t^{2}+80 t+96$ . After how many seconds does the projectile land on the ground?

$10 \mathrm{x}^{9} \cdot 5 \mathrm{x}^{10}$

Perform the indicated calculation. Express your answer using scientific notation. - $(7,860,000,000) \div(2,685,000)$

$(\mathrm{x}-4)(4 \mathrm{x}+8)=0$

Divide using long division. - $\frac{x^{3}+64}{x+4}$

Find the mass, in grams, for the given number of molecules of a compound whose molar mass is given. Round your answer to the nearest hundredth of a gram. - $3.08 \times 10^{25}$ molecules of silver nitrate $\left(\mathrm{AgNO}_{3}\right)$ ; molar mass 169.88 grams

Approximately $7 \times 10^{3}$ employees of a certain company average $\$ 30,000$ each year in salary. What is the total amount earned by all the employees of this company per year?

$\left(3 x^{2}+7 x-8\right)+\left(5 x^{2}-11 x+10\right)$

Find the missing dividend or divisor - $\frac{10 x^{7}}{?}=-5 x^{4}$

Choose the one alternative that best completes the statement or answers thequestion. - $\left(x^{4} y^{9}\right)^{3}$

Factor completely. If the polynomial cannot be factored, write "prime." - $2 x^{2}+23 x+63$

Factor completely. If the polynomial cannot be factored, write "prime." - $x^{2} y^{2}-12 x y+35$

Convert the given number to scientific notation -420

$-6 x^{2}\left(x^{2}-5 x-11\right)$

Simplify. (A ssume all variables are nonzero.) - $\left(\frac{x}{5}\right)^{2}$

Factor completely. If the polynomial cannot be factored, write "prime." - $2 x^{4}-10 x^{3}+8 x^{2}$

Factor completely. If the polynomial cannot be factored, write "prime." - $27 g^{3}+125 h^{3}$

Review of Real Numbers

Linear and Absolute Value Equations and Inequalities

Graphing Linear Equations

Systems of Equations

Rational Expressions and Equations

Radical Expressions and Equations

Quadratic Equations

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 5: Exponents, Polynomials, and Factoring Polynomials

Factor completely. If the polynomial cannot be factored, write "prime." - p6+q24r24p^{6}+q^{24} r^{24}p6+q24r24

Find the missing dividend or divisor - ?x−5=3x+4\frac{?}{\mathrm{x}-5}=3 \mathrm{x}+4x−5?​=3x+4

Evaluate the given function - f(x)=x6,f(−1)f(x)=x^{6}, f(-1)f(x)=x6,f(−1)

If a projectile is launched upward from a height of 96 feet at an initial velocity of 80 feet per second, then its height hhh after ttt seconds is given by the function h(t)=−16t2+80t+96h(t)=-16 t^{2}+80 t+96h(t)=−16t2+80t+96 . After how many seconds does the projectile land on the ground?

10x9⋅5x1010 \mathrm{x}^{9} \cdot 5 \mathrm{x}^{10}10x9⋅5x10

Perform the indicated calculation. Express your answer using scientific notation. - (7,860,000,000)÷(2,685,000)(7,860,000,000) \div(2,685,000)(7,860,000,000)÷(2,685,000)

(x−4)(4x+8)=0(\mathrm{x}-4)(4 \mathrm{x}+8)=0(x−4)(4x+8)=0

Divide using long division. - x3+64x+4\frac{x^{3}+64}{x+4}x+4x3+64​

Find the mass, in grams, for the given number of molecules of a compound whose molar mass is given. Round your answer to the nearest hundredth of a gram. - 3.08×10253.08 \times 10^{25}3.08×1025 molecules of silver nitrate (AgNO3)\left(\mathrm{AgNO}_{3}\right)(AgNO3​) ; molar mass 169.88 grams

Approximately 7×1037 \times 10^{3}7×103 employees of a certain company average $30,000\$ 30,000$30,000 each year in salary. What is the total amount earned by all the employees of this company per year?

(3x2+7x−8)+(5x2−11x+10)\left(3 x^{2}+7 x-8\right)+\left(5 x^{2}-11 x+10\right)(3x2+7x−8)+(5x2−11x+10)

Find the missing dividend or divisor - 10x7?=−5x4\frac{10 x^{7}}{?}=-5 x^{4}?10x7​=−5x4

Choose the one alternative that best completes the statement or answers thequestion. - (x4y9)3\left(x^{4} y^{9}\right)^{3}(x4y9)3

Factor completely. If the polynomial cannot be factored, write "prime." - 2x2+23x+632 x^{2}+23 x+632x2+23x+63

Factor completely. If the polynomial cannot be factored, write "prime." - x2y2−12xy+35x^{2} y^{2}-12 x y+35x2y2−12xy+35

Convert the given number to scientific notation -420

−6x2(x2−5x−11)-6 x^{2}\left(x^{2}-5 x-11\right)−6x2(x2−5x−11)

Simplify. (A ssume all variables are nonzero.) - (x5)2\left(\frac{x}{5}\right)^{2}(5x​)2

Factor completely. If the polynomial cannot be factored, write "prime." - 2x4−10x3+8x22 x^{4}-10 x^{3}+8 x^{2}2x4−10x3+8x2

Factor completely. If the polynomial cannot be factored, write "prime." - 27g3+125h327 g^{3}+125 h^{3}27g3+125h3

Review of Real Numbers

Linear and Absolute Value Equations and Inequalities

Graphing Linear Equations

Systems of Equations

Rational Expressions and Equations

Radical Expressions and Equations

Quadratic Equations

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Factor completely. If the polynomial cannot be factored, write "prime." - $p^{6}+q^{24} r^{24}$

Find the missing dividend or divisor - $\frac{?}{\mathrm{x}-5}=3 \mathrm{x}+4$

Evaluate the given function - $f(x)=x^{6}, f(-1)$

If a projectile is launched upward from a height of 96 feet at an initial velocity of 80 feet per second, then its height $h$ after $t$ seconds is given by the function $h(t)=-16 t^{2}+80 t+96$ . After how many seconds does the projectile land on the ground?

$10 \mathrm{x}^{9} \cdot 5 \mathrm{x}^{10}$

Perform the indicated calculation. Express your answer using scientific notation. - $(7,860,000,000) \div(2,685,000)$

$(\mathrm{x}-4)(4 \mathrm{x}+8)=0$

Divide using long division. - $\frac{x^{3}+64}{x+4}$

Find the mass, in grams, for the given number of molecules of a compound whose molar mass is given. Round your answer to the nearest hundredth of a gram. - $3.08 \times 10^{25}$ molecules of silver nitrate $\left(\mathrm{AgNO}_{3}\right)$ ; molar mass 169.88 grams

Approximately $7 \times 10^{3}$ employees of a certain company average $\$ 30,000$ each year in salary. What is the total amount earned by all the employees of this company per year?

$\left(3 x^{2}+7 x-8\right)+\left(5 x^{2}-11 x+10\right)$

Find the missing dividend or divisor - $\frac{10 x^{7}}{?}=-5 x^{4}$

Choose the one alternative that best completes the statement or answers thequestion. - $\left(x^{4} y^{9}\right)^{3}$

Factor completely. If the polynomial cannot be factored, write "prime." - $2 x^{2}+23 x+63$

Factor completely. If the polynomial cannot be factored, write "prime." - $x^{2} y^{2}-12 x y+35$

$-6 x^{2}\left(x^{2}-5 x-11\right)$

Simplify. (A ssume all variables are nonzero.) - $\left(\frac{x}{5}\right)^{2}$

Factor completely. If the polynomial cannot be factored, write "prime." - $2 x^{4}-10 x^{3}+8 x^{2}$

Factor completely. If the polynomial cannot be factored, write "prime." - $27 g^{3}+125 h^{3}$