Question 1

Find the value of the expression.
-$\frac{0.006 \times 2400}{4800}$

Accepted Answer

A)  0.0003 
B)  0.003 
C)  0.03 
D)  30 
A)  0.0003 
B)  0.003 
C)  0.03 
D)  30

Question 2

In scientific notation, what is the largest integer which can be multiplied by a power of 10 ?

Accepted Answer

A)  10 
B)  -9 
C)  1 
D)  9 
A)  10 
B)  -9 
C)  1 
D)  9

Question 3

Add or subtract as indicated.
-Subtract.
$-12 y+11$
$\underline{-2 y-12}$

Accepted Answer

A)  $10 y+23$ 
B)  $-14 y-1$ 
C)  $14 y-1$ 
D)  $-10 y+23$ 
A)  $10 y+23$ 
B)  $-14 y-1$ 
C)  $14 y-1$ 
D)  $-10 y+23$

Question 4

Express the number in scientific notation
-$-8,300,000$

Accepted Answer

A)  $-8.3 \times 10^{-5}$ 
B)  $-8.3 \times 10^{5}$ 
C)  $-8.3 \times 10^{-6}$ 
D)  $-8.3 \times 10^{6}$ 
A)  $-8.3 \times 10^{-5}$ 
B)  $-8.3 \times 10^{5}$ 
C)  $-8.3 \times 10^{-6}$ 
D)  $-8.3 \times 10^{6}$

Question 5

Choose the one alternative that best completes the statement or answers the question.
Divide
-$\left(9 z^{4}-7 z^{3}+15 z^{2}+4 z+3\right) \div\left(z^{2}-z+2\right)$

Accepted Answer

A)  $9 z^{2}+2 z-1+\frac{z-5}{z^{2}-z+2}$ 
B)  $9 z^{2}+2 z-1+\frac{-z+5}{z^{2}-z+2}$ 
C)  $9 z^{2}+2 z-1$ 
D)  $9 z^{2}-2 z+1+\frac{z-5}{z^{2}-z+2}$ 
A)  $9 z^{2}+2 z-1+\frac{z-5}{z^{2}-z+2}$ 
B)  $9 z^{2}+2 z-1+\frac{-z+5}{z^{2}-z+2}$ 
C)  $9 z^{2}+2 z-1$ 
D)  $9 z^{2}-2 z+1+\frac{z-5}{z^{2}-z+2}$

Question 6

$f(x)=x^{2}-7$ and $g(x)=2 x+2 ;(f-g)(3)$.

Accepted Answer

A)  -5 
B)  -1 
C)  -8 
D)  -6 
A)  -5 
B)  -1 
C)  -8 
D)  -6

Question 7

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree.
-$-19 x^{3}+3 w^{2}-9 w+2 y^{4}-2$

Accepted Answer

A)  None of these; 4 
B)  None of these; 10 
C)  Trinomial; 4 
D)  Binomial; 11 
A)  None of these; 4 
B)  None of these; 10 
C)  Trinomial; 4 
D)  Binomial; 11

Question 8

Find the product
-$\left(2 x^{2}-2 x-3\right)\left(x^{2}-5 x+4\right)$

Accepted Answer

A)  $2 x^{4}-10 x^{3}+15 x^{2}+7 x-12$ 
B)  $2 x^{4}-10 x^{3}+18 x^{2}+7 x-12$ 
C)  $2 x^{4}-12 x^{3}+15 x^{2}+7 x-12$ 
D)  $2 x^{4}-12 x^{3}+18 x^{2}+7 x-12$ 
A)  $2 x^{4}-10 x^{3}+15 x^{2}+7 x-12$ 
B)  $2 x^{4}-10 x^{3}+18 x^{2}+7 x-12$ 
C)  $2 x^{4}-12 x^{3}+15 x^{2}+7 x-12$ 
D)  $2 x^{4}-12 x^{3}+18 x^{2}+7 x-12$

Question 9

Combine terms.
-$-12 y-5 x-7 x$

Accepted Answer

A)  $-24 x y$ 
B)  $-12 y-2 x$ 
C)  $-12 y-12 x$ 
D)  $-12 y+2 x$ 
A)  $-24 x y$ 
B)  $-12 y-2 x$ 
C)  $-12 y-12 x$ 
D)  $-12 y+2 x$

Question 10

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree.
-$-9 z-6$

Accepted Answer

A)  Binomial; 0 
B)  Binomial; 2 
C)  Monomial; -9 
D)  Binomial; 1 
A)  Binomial; 0 
B)  Binomial; 2 
C)  Monomial; -9 
D)  Binomial; 1

Question 11

Find the product
-$(x-1)(3 x+12)$

Accepted Answer

A)  $3 x^{2}-12 x+9$ 
B)  $x^{2}+9 x+9$ 
C)  $3 x^{2}+9 x-12$ 
D)  $3 x^{2}+8 x-12$ 
A)  $3 x^{2}-12 x+9$ 
B)  $x^{2}+9 x+9$ 
C)  $3 x^{2}+9 x-12$ 
D)  $3 x^{2}+8 x-12$

Question 12

For the polynomial function, find the requested value.
-$f(x)=6 x^{3}+5 x^{2}-x+41 ; f(-2)$

Accepted Answer

A)  -15 
B)  3 
C)  15 
D)  5 
A)  -15 
B)  3 
C)  15 
D)  5

Question 13

For the polynomial function, find the requested value.
-$f(x)=-4 x^{5}+6 x^{4}-2 x^{3}-x^{2} ; f(2)$

Accepted Answer

A)  -57 
B)  -23 
C)  -52 
D)  -56 
A)  -57 
B)  -23 
C)  -52 
D)  -56

Question 14

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers.
-$\left(5 x^{-4}\right)^{3}\left(x^{2}\right)^{-4}$

Accepted Answer

A)  $5^{3} \mathrm{x}^{96}$ 
B)  $\frac{1}{5^{-12} x^{20}}$ 
C)  $\frac{5^{3}}{x^{20}}$ 
D)  $\frac{5^{3}}{x^{3}}$ 
A)  $5^{3} \mathrm{x}^{96}$ 
B)  $\frac{1}{5^{-12} x^{20}}$ 
C)  $\frac{5^{3}}{x^{20}}$ 
D)  $\frac{5^{3}}{x^{3}}$

Question 15

Graph the function.
-$r(x)=1$

Accepted Answer

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

Question 16

Find the product
-$(8 a+7 b)(5 a-9 b)$

Accepted Answer

A)  $40 a^{2}+37 a b-63 b^{2}$ 
B)  $40 a^{2}-37 a b-63 b^{2}$ 
C)  $40 a^{2}-63 b^{2}$ 
D)  $40 a^{2}-107 a b-63 b^{2}$ 
A)  $40 a^{2}+37 a b-63 b^{2}$ 
B)  $40 a^{2}-37 a b-63 b^{2}$ 
C)  $40 a^{2}-63 b^{2}$ 
D)  $40 a^{2}-107 a b-63 b^{2}$

Question 17

Perform the indicated operations.
-$\frac{10 x^{3}+10 x^{2}-35 x+4}{5 x}$

Accepted Answer

A)  $2 x^{2}+2 x-7+\frac{4}{5 x}$ 
B)  $2 x^{2}+10 x-35+\frac{4}{x}$ 
C)  $2 x^{2}+2 x-7+\frac{4}{x}$ 
D)  $2 x^{3}+2 x^{2}-7 x+\frac{4}{5}$ 
A)  $2 x^{2}+2 x-7+\frac{4}{5 x}$ 
B)  $2 x^{2}+10 x-35+\frac{4}{x}$ 
C)  $2 x^{2}+2 x-7+\frac{4}{x}$ 
D)  $2 x^{3}+2 x^{2}-7 x+\frac{4}{5}$

Question 18

For the polynomial function, find the requested value.
-$f(x)=4 x+6 ; f(8)$

Accepted Answer

A)  26 
B)  10 
C)  64 
D)  38 
A)  26 
B)  10 
C)  64 
D)  38

Question 19

Apply the product rule for exponents, if possible.
-$\left(-3 x^{5} y\right)\left(-4 x^{9} y^{2}\right)$

Accepted Answer

A)  $12 x^{45} y^{2}$ 
B)  $12 x^{14} y^{3}$ 
C)  $12 x^{15} y^{3}$ 
D)  $-12 x^{14} y^{2}$ 
A)  $12 x^{45} y^{2}$ 
B)  $12 x^{14} y^{3}$ 
C)  $12 x^{15} y^{3}$ 
D)  $-12 x^{14} y^{2}$

Question 20

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree.
-$13 y^{5}-2 y^{4}+1$

Accepted Answer

A)  Binomial; 5 
B)  Trinomial; 5 
C)  None of these; 5 
D)  Trinomial; 10 
A)  Binomial; 5 
B)  Trinomial; 5 
C)  None of these; 5 
D)  Trinomial; 10

Find the value of the expression. - $\frac{0.006 \times 2400}{4800}$

In scientific notation, what is the largest integer which can be multiplied by a power of 10 ?

Add or subtract as indicated. -Subtract. $-12 y+11$ $\underline{-2 y-12}$

Express the number in scientific notation - $-8,300,000$

Choose the one alternative that best completes the statement or answers the question. Divide - $\left(9 z^{4}-7 z^{3}+15 z^{2}+4 z+3\right) \div\left(z^{2}-z+2\right)$

$f(x)=x^{2}-7$ and $g(x)=2 x+2 ;(f-g)(3)$ .

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree. - $-19 x^{3}+3 w^{2}-9 w+2 y^{4}-2$

Find the product - $\left(2 x^{2}-2 x-3\right)\left(x^{2}-5 x+4\right)$

Combine terms. - $-12 y-5 x-7 x$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree. - $-9 z-6$

Find the product - $(x-1)(3 x+12)$

For the polynomial function, find the requested value. - $f(x)=6 x^{3}+5 x^{2}-x+41 ; f(-2)$

For the polynomial function, find the requested value. - $f(x)=-4 x^{5}+6 x^{4}-2 x^{3}-x^{2} ; f(2)$

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers. - $\left(5 x^{-4}\right)^{3}\left(x^{2}\right)^{-4}$

Graph the function. - $r(x)=1$

Find the product - $(8 a+7 b)(5 a-9 b)$

Perform the indicated operations. - $\frac{10 x^{3}+10 x^{2}-35 x+4}{5 x}$

For the polynomial function, find the requested value. - $f(x)=4 x+6 ; f(8)$

Apply the product rule for exponents, if possible. - $\left(-3 x^{5} y\right)\left(-4 x^{9} y^{2}\right)$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree. - $13 y^{5}-2 y^{4}+1$

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

Find the value of the expression. - 0.006×24004800\frac{0.006 \times 2400}{4800}48000.006×2400​

In scientific notation, what is the largest integer which can be multiplied by a power of 10 ?

Add or subtract as indicated. -Subtract. −12y+11-12 y+11−12y+11 −2y−12‾\underline{-2 y-12}−2y−12​

Express the number in scientific notation - −8,300,000-8,300,000−8,300,000

Choose the one alternative that best completes the statement or answers the question. Divide - (9z4−7z3+15z2+4z+3)÷(z2−z+2)\left(9 z^{4}-7 z^{3}+15 z^{2}+4 z+3\right) \div\left(z^{2}-z+2\right)(9z4−7z3+15z2+4z+3)÷(z2−z+2)

f(x)=x2−7f(x)=x^{2}-7f(x)=x2−7 and g(x)=2x+2;(f−g)(3)g(x)=2 x+2 ;(f-g)(3)g(x)=2x+2;(f−g)(3) .

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree. - −19x3+3w2−9w+2y4−2-19 x^{3}+3 w^{2}-9 w+2 y^{4}-2−19x3+3w2−9w+2y4−2

Find the product - (2x2−2x−3)(x2−5x+4)\left(2 x^{2}-2 x-3\right)\left(x^{2}-5 x+4\right)(2x2−2x−3)(x2−5x+4)

Combine terms. - −12y−5x−7x-12 y-5 x-7 x−12y−5x−7x

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree. - −9z−6-9 z-6−9z−6

Find the product - (x−1)(3x+12)(x-1)(3 x+12)(x−1)(3x+12)

For the polynomial function, find the requested value. - f(x)=6x3+5x2−x+41;f(−2)f(x)=6 x^{3}+5 x^{2}-x+41 ; f(-2)f(x)=6x3+5x2−x+41;f(−2)

For the polynomial function, find the requested value. - f(x)=−4x5+6x4−2x3−x2;f(2)f(x)=-4 x^{5}+6 x^{4}-2 x^{3}-x^{2} ; f(2)f(x)=−4x5+6x4−2x3−x2;f(2)

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers. - (5x−4)3(x2)−4\left(5 x^{-4}\right)^{3}\left(x^{2}\right)^{-4}(5x−4)3(x2)−4

Graph the function. - r(x)=1r(x)=1r(x)=1

Find the product - (8a+7b)(5a−9b)(8 a+7 b)(5 a-9 b)(8a+7b)(5a−9b)

Perform the indicated operations. - 10x3+10x2−35x+45x\frac{10 x^{3}+10 x^{2}-35 x+4}{5 x}5x10x3+10x2−35x+4​

For the polynomial function, find the requested value. - f(x)=4x+6;f(8)f(x)=4 x+6 ; f(8)f(x)=4x+6;f(8)

Apply the product rule for exponents, if possible. - (−3x5y)(−4x9y2)\left(-3 x^{5} y\right)\left(-4 x^{9} y^{2}\right)(−3x5y)(−4x9y2)

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree. - 13y5−2y4+113 y^{5}-2 y^{4}+113y5−2y4+1

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

Find the value of the expression. - $\frac{0.006 \times 2400}{4800}$

Add or subtract as indicated. -Subtract. $-12 y+11$ $\underline{-2 y-12}$

Express the number in scientific notation - $-8,300,000$

Choose the one alternative that best completes the statement or answers the question. Divide - $\left(9 z^{4}-7 z^{3}+15 z^{2}+4 z+3\right) \div\left(z^{2}-z+2\right)$

$f(x)=x^{2}-7$ and $g(x)=2 x+2 ;(f-g)(3)$ .

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree. - $-19 x^{3}+3 w^{2}-9 w+2 y^{4}-2$

Find the product - $\left(2 x^{2}-2 x-3\right)\left(x^{2}-5 x+4\right)$

Combine terms. - $-12 y-5 x-7 x$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree. - $-9 z-6$

Find the product - $(x-1)(3 x+12)$

For the polynomial function, find the requested value. - $f(x)=6 x^{3}+5 x^{2}-x+41 ; f(-2)$

For the polynomial function, find the requested value. - $f(x)=-4 x^{5}+6 x^{4}-2 x^{3}-x^{2} ; f(2)$

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers. - $\left(5 x^{-4}\right)^{3}\left(x^{2}\right)^{-4}$

Graph the function. - $r(x)=1$

Find the product - $(8 a+7 b)(5 a-9 b)$

Perform the indicated operations. - $\frac{10 x^{3}+10 x^{2}-35 x+4}{5 x}$

For the polynomial function, find the requested value. - $f(x)=4 x+6 ; f(8)$

Apply the product rule for exponents, if possible. - $\left(-3 x^{5} y\right)\left(-4 x^{9} y^{2}\right)$

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Also give the degree. - $13 y^{5}-2 y^{4}+1$