Question 1

Find the product
-$(x-11 y)(x+4 y)$

Accepted Answer

A)  $x^{2}-7 x y-44 y^{2}$ 
B)  $x-7 x y-44 y$ 
C)  $x^{2}-10 x y-44 y^{2}$ 
D)  $x^{2}-7 x y-7 y^{2}$ 
A)  $x^{2}-7 x y-44 y^{2}$ 
B)  $x-7 x y-44 y$ 
C)  $x^{2}-10 x y-44 y^{2}$ 
D)  $x^{2}-7 x y-7 y^{2}$

Question 2

Evaluate the expression.
-$\frac{7^{-3}}{5^{-2}}$

Accepted Answer

A)  $\frac{343}{25}$ 
B)  $\frac{2401}{125}$ 
C)  $\frac{25}{343}$ 
D)  $\frac{125}{2401}$ 
A)  $\frac{343}{25}$ 
B)  $\frac{2401}{125}$ 
C)  $\frac{25}{343}$ 
D)  $\frac{125}{2401}$

Question 3

Find the product
-$\left(4 m^{3} z^{4}\right)\left(3 m^{2} z^{2}\right)$

Accepted Answer

A)  $12 m z^{6}$ 
B)  $12 \mathrm{mz}$ 
C)  $12 m^{5} z$ 
D)  $12 m^{5} z^{6}$ 
A)  $12 m z^{6}$ 
B)  $12 \mathrm{mz}$ 
C)  $12 m^{5} z$ 
D)  $12 m^{5} z^{6}$

Question 4

Find the product
-$7 a^{3} x^{4}\left(11 a^{6} x^{8}-5 x^{5}+6 a\right)$

Accepted Answer

A)  $77 a^{18} x^{32}+35 a^{3} x^{20}-42 a^{3} x^{4}$ 
B)  $77 a^{9} x^{12}-35 a^{3} x^{9}+42 a^{4} x^{4}$ 
C)  $-77 a^{9} x^{12}+35 a^{3} x^{9}-42 a^{4} x^{4}$ 
D)  $77 a^{9} x^{12}-5 x^{5}+6 a$ 
A)  $77 a^{18} x^{32}+35 a^{3} x^{20}-42 a^{3} x^{4}$ 
B)  $77 a^{9} x^{12}-35 a^{3} x^{9}+42 a^{4} x^{4}$ 
C)  $-77 a^{9} x^{12}+35 a^{3} x^{9}-42 a^{4} x^{4}$ 
D)  $77 a^{9} x^{12}-5 x^{5}+6 a$

Question 5

Find the product
-$(3 \mathrm{p}+11)(3 \mathrm{p}-11)$

Accepted Answer

A)  $9 p^{2}-66 p-121$ 
B)  $9 p^{2}+66 p-121$ 
C)  $p^{2}-121$ 
D)  $9 p^{2}-121$ 
A)  $9 p^{2}-66 p-121$ 
B)  $9 p^{2}+66 p-121$ 
C)  $p^{2}-121$ 
D)  $9 p^{2}-121$

Question 6

Express the number in scientific notation
-0.000761

Accepted Answer

A)  $7.61 \times 10^{-5}$ 
B)  $7.61 \times 10^{-4}$ 
C)  $7.61 \times 10^{-3}$ 
D)  $7.61 \times 10^{4}$ 
A)  $7.61 \times 10^{-5}$ 
B)  $7.61 \times 10^{-4}$ 
C)  $7.61 \times 10^{-3}$ 
D)  $7.61 \times 10^{4}$

Question 7

For the pair of functions, find the product $(f g)(x)$.
-$f(x)=4 x+2, g(x)=x^{2}+6 x-8$

Accepted Answer

A)  $5 x^{3}+28 x^{2}+20 x-15$ 
B)  $4 x^{3}+26 x^{2}-20 x-16$ 
C)  $x^{3}-26 x^{2}-26 x-19$ 
D)  $x^{2}-10 x+6$ 
A)  $5 x^{3}+28 x^{2}+20 x-15$ 
B)  $4 x^{3}+26 x^{2}-20 x-16$ 
C)  $x^{3}-26 x^{2}-26 x-19$ 
D)  $x^{2}-10 x+6$

Find the product - $(x-11 y)(x+4 y)$

Evaluate the expression. - $\frac{7^{-3}}{5^{-2}}$

Find the product - $\left(4 m^{3} z^{4}\right)\left(3 m^{2} z^{2}\right)$

Find the product - $7 a^{3} x^{4}\left(11 a^{6} x^{8}-5 x^{5}+6 a\right)$

Find the product - $(3 \mathrm{p}+11)(3 \mathrm{p}-11)$

Express the number in scientific notation -0.000761

For the pair of functions, find the product $(f g)(x)$ . - $f(x)=4 x+2, g(x)=x^{2}+6 x-8$

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 product - (x−11y)(x+4y)(x-11 y)(x+4 y)(x−11y)(x+4y)

Evaluate the expression. - 7−35−2\frac{7^{-3}}{5^{-2}}5−27−3​

Find the product - (4m3z4)(3m2z2)\left(4 m^{3} z^{4}\right)\left(3 m^{2} z^{2}\right)(4m3z4)(3m2z2)

Find the product - 7a3x4(11a6x8−5x5+6a)7 a^{3} x^{4}\left(11 a^{6} x^{8}-5 x^{5}+6 a\right)7a3x4(11a6x8−5x5+6a)

Find the product - (3p+11)(3p−11)(3 \mathrm{p}+11)(3 \mathrm{p}-11)(3p+11)(3p−11)