Question 1

Express the number in scientific notation
-845.3

Accepted Answer

A)  $8.453 \times 10^{-3}$ 
B)  $8.453 \times 10^{2}$ 
C)  $8.453 \times 10^{-2}$ 
D)  $8.453 \times 10^{3}$ 
A)  $8.453 \times 10^{-3}$ 
B)  $8.453 \times 10^{2}$ 
C)  $8.453 \times 10^{-2}$ 
D)  $8.453 \times 10^{3}$

Question 2

$f(x)=-x^{3}+4$

Accepted Answer

A) 
  
B)   
C) 
  
D) 
  
A) 
  
B)   
C) 
  
D)

Question 3

Find the value of the expression.
-$\frac{420,000 \times 0.006}{0.07 \times 480,000}$

Accepted Answer

A)  0.75 
B)  7.5 
C)  0.075 
D)  0.0075 
A)  0.75 
B)  7.5 
C)  0.075 
D)  0.0075

Question 4

Perform the indicated operations.
-$(13 m-12 w)(13 m+12 w)$

Accepted Answer

A)  $13 m^{2}-12 w^{2}$ 
B)  $169 m^{2}+312 m w-144 w^{2}$ 
C)  $169 m^{2}-312 m w-144 w^{2}$ 
D)  $169 \mathrm{~m}^{2}-144 \mathrm{w}^{2}$ 
A)  $13 m^{2}-12 w^{2}$ 
B)  $169 m^{2}+312 m w-144 w^{2}$ 
C)  $169 m^{2}-312 m w-144 w^{2}$ 
D)  $169 \mathrm{~m}^{2}-144 \mathrm{w}^{2}$

Question 5

Choose the one alternative that best completes the statement or answers the question.
Divide
-$\frac{4 m^{2}+31 m-45}{m+9}$

Accepted Answer

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

Question 6

Provide an appropriate response.
-Let $f(x)=x^{2}-3$ and $g(x)=3 x+9$. Find $(f+g)\left(\frac{1}{2}\right)$.

Accepted Answer

A)  $\frac{35}{4}$ 
B)  $\frac{31}{4}$ 
C)  $\frac{15}{2}$ 
D)  8 
A)  $\frac{35}{4}$ 
B)  $\frac{31}{4}$ 
C)  $\frac{15}{2}$ 
D)  8

Question 7

Express the number in standard notation.
-$2.50 \times 10^{5}$

Accepted Answer

A)  250,000 
B)  $2,500,000$ 
C)  125 
D)  25,000 
A)  250,000 
B)  $2,500,000$ 
C)  125 
D)  25,000

Question 8

Find the product
-$\left(3 t-\frac{11}{10}\right)\left(3 t+\frac{11}{10}\right)$

Accepted Answer

A)  $9 t^{2}-\frac{121}{100}$ 
B)  $9 t^{2}-\frac{33}{5} t-\frac{121}{100}$ 
C)  $9 t^{2}+\frac{33}{5} t$ 
D)  $9 t^{2}+\frac{121}{100}$ 
A)  $9 t^{2}-\frac{121}{100}$ 
B)  $9 t^{2}-\frac{33}{5} t-\frac{121}{100}$ 
C)  $9 t^{2}+\frac{33}{5} t$ 
D)  $9 t^{2}+\frac{121}{100}$

Question 9

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree.
-$-14 c^{5}-6 c^{4}+7 c^{3}$

Accepted Answer

A)  Trinomial; 12 
B)  Binomial; 12 
C)  None of these; 5 
D)  Trinomial; 5 
A)  Trinomial; 12 
B)  Binomial; 12 
C)  None of these; 5 
D)  Trinomial; 5

Question 10

Simplify the expressions $(2 x)^{0}$ and $\left(2 x^{0}\right)$ and explain how you arrived at your answers.

Accepted Answer

@#LAT-DLM&, because the exponent is appl

Question 11

Tell whether the statement is .
-A trinomial is a monomial.

Accepted Answer

A)  Always 
B)  Never 
C)  Sometimes 
A)  Always 
B)  Never 
C)  Sometimes

Question 12

Find the product
-$(5 a+9 c)(5 a-9 c)$

Accepted Answer

A)  $25 a^{2}-90 a c-81 c^{2}$ 
B)  $25 a^{2}-81 c^{2}$ 
C)  $25 a^{2}+90 a c-81 c^{2}$ 
D)  $5 a^{2}-9 c^{2}$ 
A)  $25 a^{2}-90 a c-81 c^{2}$ 
B)  $25 a^{2}-81 c^{2}$ 
C)  $25 a^{2}+90 a c-81 c^{2}$ 
D)  $5 a^{2}-9 c^{2}$

Question 13

If $p(x)=27 x^{5}-15 x^{4}+6 x^{2}$ and $q(x)=3 x^{2}$, find $\left(\frac{p}{q}\right)(x)$.

Accepted Answer

A)  $9 x^{3}-5 x^{2}+2 x$ 
B)  $9 x^{2}-5 x+2$ 
C)  $9 x^{3}-5 x^{2}+2$ 
D)  $9 x^{3}-6 x^{2}+5$ 
A)  $9 x^{3}-5 x^{2}+2 x$ 
B)  $9 x^{2}-5 x+2$ 
C)  $9 x^{3}-5 x^{2}+2$ 
D)  $9 x^{3}-6 x^{2}+5$

Question 14

Evaluate the expression.
-$7^{0}+9^{0}$

Accepted Answer

A)  2 
B)  0 
C)  16 
D)  1 
A)  2 
B)  0 
C)  16 
D)  1

Question 15

Tell whether the statement is .
-A trinomial is a polynomial.

Accepted Answer

A)  Always 
B)  Never 
C)  Sometimes 
A)  Always 
B)  Never 
C)  Sometimes

Question 16

Find the product
-$(9 y-4)\left(81 y^{2}+36 y+16\right)$

Accepted Answer

A)  $729 y^{3}+64$ 
B)  $729 y^{3}-64$ 
C)  $81 y^{3}+64$ 
D)  $729 y^{3}+144 y^{2}-64$ 
A)  $729 y^{3}+64$ 
B)  $729 y^{3}-64$ 
C)  $81 y^{3}+64$ 
D)  $729 y^{3}+144 y^{2}-64$

Question 17

If a submarine goes $2 k^{3}+14 k^{2}+10 k-56$ miles in $2 k+8$ hours, what is its rate of speed?

Accepted Answer

A)  $\mathrm{k}^{2}+3 \mathrm{k}-7 \mathrm{mph}$ 
B)  $\mathrm{k}^{3}+3 \mathrm{k}^{2}-7 \mathrm{kmph}$ 
C)  $\mathrm{k}^{2}-3 \mathrm{k}+7 \mathrm{mph}$ 
D)  $\mathrm{k}^{2}+11 \mathrm{k}-7 \mathrm{mph}$ 
A)  $\mathrm{k}^{2}+3 \mathrm{k}-7 \mathrm{mph}$ 
B)  $\mathrm{k}^{3}+3 \mathrm{k}^{2}-7 \mathrm{kmph}$ 
C)  $\mathrm{k}^{2}-3 \mathrm{k}+7 \mathrm{mph}$ 
D)  $\mathrm{k}^{2}+11 \mathrm{k}-7 \mathrm{mph}$

Question 18

Apply the product rule for exponents, if possible.
-$\left(-2 x^{3}\right)\left(9 x^{10} y^{6}\right)$

Accepted Answer

A)  $18 x^{13} y^{6}$ 
B)  $-18 x^{30} y^{9}$ 
C)  $-18 x^{30} y^{6}$ 
D)  $-18 x^{13} y^{6}$ 
A)  $18 x^{13} y^{6}$ 
B)  $-18 x^{30} y^{9}$ 
C)  $-18 x^{30} y^{6}$ 
D)  $-18 x^{13} y^{6}$

Question 19

Find the product
-$(7 m-6 w)(7 m+6 w)$

Accepted Answer

A)  $49 m^{2}-84 m w-36 w^{2}$ 
B)  $49 m^{2}-36 w^{2}$ 
C)  $7 m^{2}-6 w^{2}$ 
D)  $49 m^{2}+84 m w-36 w^{2}$ 
A)  $49 m^{2}-84 m w-36 w^{2}$ 
B)  $49 m^{2}-36 w^{2}$ 
C)  $7 m^{2}-6 w^{2}$ 
D)  $49 m^{2}+84 m w-36 w^{2}$

Question 20

Give the domain and range of the function.
-$f(x)=-5 x-4$

Accepted Answer

A)  Domain: $(-\infty, \infty)$; range: $(-\infty,-4)$ 
B)  Domain: $(0, \infty)$; range: $(-\infty, 0)$ 
C)  Domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$ 
D)  Domain: $(-5, \infty)$; range: $(-\infty, 4)$ 
A)  Domain: $(-\infty, \infty)$; range: $(-\infty,-4)$ 
B)  Domain: $(0, \infty)$; range: $(-\infty, 0)$ 
C)  Domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$ 
D)  Domain: $(-5, \infty)$; range: $(-\infty, 4)$

Express the number in scientific notation -845.3

$f(x)=-x^{3}+4$ $f(x)=-x^{3}+4$

Find the value of the expression. - $\frac{420,000 \times 0.006}{0.07 \times 480,000}$

Perform the indicated operations. - $(13 m-12 w)(13 m+12 w)$

Choose the one alternative that best completes the statement or answers the question. Divide - $\frac{4 m^{2}+31 m-45}{m+9}$

Provide an appropriate response. -Let $f(x)=x^{2}-3$ and $g(x)=3 x+9$ . Find $(f+g)\left(\frac{1}{2}\right)$ .

Express the number in standard notation. - $2.50 \times 10^{5}$

Find the product - $\left(3 t-\frac{11}{10}\right)\left(3 t+\frac{11}{10}\right)$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree. - $-14 c^{5}-6 c^{4}+7 c^{3}$

Simplify the expressions $(2 x)^{0}$ and $\left(2 x^{0}\right)$ and explain how you arrived at your answers.

Tell whether the statement is . -A trinomial is a monomial.

Find the product - $(5 a+9 c)(5 a-9 c)$

If $p(x)=27 x^{5}-15 x^{4}+6 x^{2}$ and $q(x)=3 x^{2}$ , find $\left(\frac{p}{q}\right)(x)$ .

Evaluate the expression. - $7^{0}+9^{0}$

Tell whether the statement is . -A trinomial is a polynomial.

Find the product - $(9 y-4)\left(81 y^{2}+36 y+16\right)$

If a submarine goes $2 k^{3}+14 k^{2}+10 k-56$ miles in $2 k+8$ hours, what is its rate of speed?

Apply the product rule for exponents, if possible. - $\left(-2 x^{3}\right)\left(9 x^{10} y^{6}\right)$

Find the product - $(7 m-6 w)(7 m+6 w)$

Give the domain and range of the function. - $f(x)=-5 x-4$

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Exam 5: Exponents, Polynomials, and Polynomial Functions

Express the number in scientific notation -845.3

f(x)=−x3+4f(x)=-x^{3}+4f(x)=−x3+4

Find the value of the expression. - 420,000×0.0060.07×480,000\frac{420,000 \times 0.006}{0.07 \times 480,000}0.07×480,000420,000×0.006​

Perform the indicated operations. - (13m−12w)(13m+12w)(13 m-12 w)(13 m+12 w)(13m−12w)(13m+12w)

Choose the one alternative that best completes the statement or answers the question. Divide - 4m2+31m−45m+9\frac{4 m^{2}+31 m-45}{m+9}m+94m2+31m−45​

Provide an appropriate response. -Let f(x)=x2−3f(x)=x^{2}-3f(x)=x2−3 and g(x)=3x+9g(x)=3 x+9g(x)=3x+9 . Find (f+g)(12)(f+g)\left(\frac{1}{2}\right)(f+g)(21​) .

Express the number in standard notation. - 2.50×1052.50 \times 10^{5}2.50×105

Find the product - (3t−1110)(3t+1110)\left(3 t-\frac{11}{10}\right)\left(3 t+\frac{11}{10}\right)(3t−1011​)(3t+1011​)

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree. - −14c5−6c4+7c3-14 c^{5}-6 c^{4}+7 c^{3}−14c5−6c4+7c3

Simplify the expressions (2x)0(2 x)^{0}(2x)0 and (2x0)\left(2 x^{0}\right)(2x0) and explain how you arrived at your answers.

Tell whether the statement is . -A trinomial is a monomial.

Find the product - (5a+9c)(5a−9c)(5 a+9 c)(5 a-9 c)(5a+9c)(5a−9c)

If p(x)=27x5−15x4+6x2p(x)=27 x^{5}-15 x^{4}+6 x^{2}p(x)=27x5−15x4+6x2 and q(x)=3x2q(x)=3 x^{2}q(x)=3x2 , find (pq)(x)\left(\frac{p}{q}\right)(x)(qp​)(x) .

Evaluate the expression. - 70+907^{0}+9^{0}70+90

Tell whether the statement is . -A trinomial is a polynomial.

Find the product - (9y−4)(81y2+36y+16)(9 y-4)\left(81 y^{2}+36 y+16\right)(9y−4)(81y2+36y+16)

If a submarine goes 2k3+14k2+10k−562 k^{3}+14 k^{2}+10 k-562k3+14k2+10k−56 miles in 2k+82 k+82k+8 hours, what is its rate of speed?

Apply the product rule for exponents, if possible. - (−2x3)(9x10y6)\left(-2 x^{3}\right)\left(9 x^{10} y^{6}\right)(−2x3)(9x10y6)

Find the product - (7m−6w)(7m+6w)(7 m-6 w)(7 m+6 w)(7m−6w)(7m+6w)

Give the domain and range of the function. - f(x)=−5x−4f(x)=-5 x-4f(x)=−5x−4

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

$f(x)=-x^{3}+4$ $f(x)=-x^{3}+4$

Find the value of the expression. - $\frac{420,000 \times 0.006}{0.07 \times 480,000}$

Perform the indicated operations. - $(13 m-12 w)(13 m+12 w)$

Choose the one alternative that best completes the statement or answers the question. Divide - $\frac{4 m^{2}+31 m-45}{m+9}$

Provide an appropriate response. -Let $f(x)=x^{2}-3$ and $g(x)=3 x+9$ . Find $(f+g)\left(\frac{1}{2}\right)$ .

Express the number in standard notation. - $2.50 \times 10^{5}$

Find the product - $\left(3 t-\frac{11}{10}\right)\left(3 t+\frac{11}{10}\right)$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree. - $-14 c^{5}-6 c^{4}+7 c^{3}$

Simplify the expressions $(2 x)^{0}$ and $\left(2 x^{0}\right)$ and explain how you arrived at your answers.

Find the product - $(5 a+9 c)(5 a-9 c)$

If $p(x)=27 x^{5}-15 x^{4}+6 x^{2}$ and $q(x)=3 x^{2}$ , find $\left(\frac{p}{q}\right)(x)$ .

Evaluate the expression. - $7^{0}+9^{0}$

Find the product - $(9 y-4)\left(81 y^{2}+36 y+16\right)$

If a submarine goes $2 k^{3}+14 k^{2}+10 k-56$ miles in $2 k+8$ hours, what is its rate of speed?

Apply the product rule for exponents, if possible. - $\left(-2 x^{3}\right)\left(9 x^{10} y^{6}\right)$

Find the product - $(7 m-6 w)(7 m+6 w)$

Give the domain and range of the function. - $f(x)=-5 x-4$