Question 1

$(2 + 3)^2$ = 22 + 32

Accepted Answer

false

Answer

true

Question 2

$(x + 3)^2$ = $x^2+ 6x + 9$

Accepted Answer

true

Answer

false

Question 3

$(3 + 5)^2$ = 9 + 25 + 30

Accepted Answer

true

Answer

false

Question 4

$(2x + 7)^2$ = $4x^2 + 28x + 49$

Accepted Answer

true

Answer

false

Question 5

$(y + 8)^2$ = 64

Accepted Answer

false

Answer

true

Question 6

The product of a sum and difference of two terms is equal to the difference of two squares.

Accepted Answer

true

Answer

false

Question 7

(40 – 1)(40 + 1) = 1599

Accepted Answer

true

Answer

false

Question 8

(49)(51) = 2499

Accepted Answer

true

Answer

false

Question 9

$(x - 3)^2$ = $x^2 - 3x + 9 $

Accepted Answer

false

Answer

true

Question 10

$x^2 + 2xy +$$y^2$,  $x^2 - 2xy +$$y^2$ and $x^2 - $$y^2$ are perfect square trinomials.

Accepted Answer

false

Answer

true

Question 11

Supply the missing term.   (a + 4)($a^2 - 4a + 16$ = _____ + 64

Accepted Answer

$a^3$

Answer

$a^2 + 8a$

Answer

$a^3 + 8a$

Answer

$a^2 + 8a + 16$

Question 12

Supply the missing term.  (b – 4)($b^2 + 4b + 16$) = $b^3$_____

Accepted Answer

$-64$

Answer

$b^2$

Answer

$b^2 - 8b$

Answer

$b^3$

Question 13

Supply the missing term.  $(2m + 7)$($4m ^2$_______+49) = $8m^3 + 343$

Accepted Answer

$ - 14m$

Answer

$- 28m$

Answer

$+ 28m$

Answer

$+ 14m$

Question 14

Supply the missing term.  ($4 - x$)($_____ + 4x +$$x^2$) = $64 - x^3$

Accepted Answer

16

Answer

-16x

Answer

16x

Answer

-16

Question 15

Supply the missing term. ($2x $ + ________)($4x^2 - 6x + 9)$ = $8x^3 + 27$

Accepted Answer

$3$

Answer

$-3x$

Answer

$3x$

Answer

$-3$

Question 16

Give the product $(3a + 2b)^2$

Accepted Answer

$9a^2 + 12ab $ $+4b^2$

Answer

$9a^2  - 6ab $ $+4b^2$

Answer

$9a^2 + 6ab $ $+4b^2$

Answer

$9a^2  - 12ab $ $+4b^2$

Question 17

Give the product $(2x + 4)^2$

Accepted Answer

$4x^2 + 16x $  $ + 16$

Answer

$4x^2 - 16x $  $ + 16$

Answer

$4x^2 - 8x $  $ + 16$

Answer

$4x^2 +  8x $  $ + 16$

Question 18

give the product (x +y)(x - y)

Accepted Answer

$x^2 $  $ -  y^2$

Answer

$x^2 $  $-2xy -  y^2$

Answer

$x^2 $  $ +  y^2$

Answer

$x^2 $  $+ 2xy -  y^2$

Question 19

Give the product (2a + 4)(2a - 4)

Accepted Answer

$4a^2 $  $ -  16$

Answer

$4a^2 $  $+16a -  16$

Answer

$4a^2 $  $ +  16$

Answer

$4a^2 $  $ -16a -  16$

Question 20

(x + 2y)(x + 2y) is an example of ________

Accepted Answer

square of a binomial

Answer

product of a binomial and a trinomial

Answer

sum and difference of two cubes

Answer

sum and difference of two like terms

Question 21

(2x – 5y)(2x + 5y) is an example of ________

Accepted Answer

sum and difference of two like terms

Answer

square of a binomial

Answer

cube of a binomial

Answer

special product

Question 22

($2x + 3y$)($4x^2- 6xy $ $ + 9y^2$) is an example of ________

Accepted Answer

product of  binomial and  trinomial

Answer

cube of binomials

Answer

square of a binomial

Answer

sum and difference of two like terms

Question 23

What is the product of ($x + 2$)($x^2- 2x + 4$)?

Accepted Answer

a.	$x^3 + 8$

Answer

$x^3$$-2x^2 - 4x -+8$

Answer

$x^3$$-2x^2 + 4x - 8$

Answer

$x^3 - 8$

Question 24

Which of the following is equal to $8x^3 - 1$?

Accepted Answer

($2x - 1$)($4x^2 + 2x + 1$)

Answer

($2x - 1$)($4x^2 - 2x - 1$)

Answer

($2x + 1$)($4x^2 + 2x + 1$)

Answer

($2x + 1$)($4x^2 - 2x - 1$)

Question 25

What is the missing term of  ($x + 3$)($x^2$ _______+9) = $x^3 + 27$?

Accepted Answer

$-3x$

Answer

$-3x^2$

Answer

$+3x^2$

Answer

$+3x$

Question 26

Which of the following can be simplified as the sum or difference of two square?

Accepted Answer

($x + 5$)($x - 5)$

Answer

($x - 5$)($x - 5)$

Answer

($x + 5$)($5x - 5)$

Answer

($x + 5$)($x + 5)$

Question 27

Which of the following is NOT a special product?

Accepted Answer

(a . b)($\frac{a}{b}$)

Answer

(a – b)(a – b)

Answer

(a + b)(a – b)

Answer

(a + b)(a + b)

Question 28

Which statement is true?

Accepted Answer

The product of a sum and difference of two terms is a binomial.

Answer

The product of the square of a trinomial is also a trinomial.

Answer

The product of a binomial and a trinomial is the square of a trinomial.

Answer

The square of a binomial is also a binomial.

Question 29

Which of the following is NOT a result of special product?

Accepted Answer

sum of two squares

Answer

perfect square trinomial

Answer

difference of two cubes

Answer

difference of two squares

Question 30

What is the shortcut method or special patterns in multiplying polynomials?

Accepted Answer

special products

Answer

special quotients

Answer

factoring

Answer

pascal’s triangle

Question 31

Give the quotient $\frac{4^5}{4^3}$

Accepted Answer

16

Answer

12

Answer

4

Answer

8

Question 32

Simplify $\frac{x^3}{x^2}$

Accepted Answer

x

Answer

$x^2$

Answer

$x^3$

Question 33

Simplify ($\frac{x^3}{x^2})^2$

Accepted Answer

$x^2$

Answer

$x^3$

Answer

x

Answer

$x^4$

Question 34

divide $\frac{-36abc}{12a^2}$

Accepted Answer

$\frac{-3bc}{a}$

Answer

$-3abc$

Answer

$3abc$

Answer

$\frac{3bc}{a}$

Question 35

Give the quotient $\frac{21xy}{3x^4y^3}$

Accepted Answer

$\frac{7}{x^3y^2}$

Answer

$\frac{-7}{x^2y^3}$

Answer

$\frac{7}{x^2y^3}$

Answer

$\frac{-7}{x^3y^2}$

Question 36

divide $\frac{x^4}{xy}$

Accepted Answer

$\frac{x^3}{y}$

Answer

$\frac{-x^3}{y}$

Answer

$\frac{y}{x^3}$

Answer

$\frac{-y}{x^3}$

Question 37

find the quotient of $\frac{12x^3}{-4x^2y}$

Accepted Answer

$\frac{-3x}{y}$

Answer

$\frac{-y}{-3x}$

Answer

$\frac{3x}{y}$

Answer

$\frac{y}{-3x}$

Question 38

Simplify $[\frac{7b^3x^2}{49ax^2}]^2$

Accepted Answer

$\frac{b^6}{49a^2}$

Answer

$\frac{b^6}{7a^2}$

Answer

$\frac{-b^6}{49a^2}$

Answer

$\frac{-b^6}{7a^2}$

Question 39

find the quotient $[\frac{-15x^3y^2}{3xy^5}]^3$

Accepted Answer

$\frac{-125x^6}{y^9}$

Answer

$\frac{-5x^6}{y^9}$

Answer

$[\frac{5x^6y^2}{y^9}]$

Answer

$[\frac{125x^6y^2}{y^9}]$

Question 40

find the quotient $[\frac{-15x^3y^2}{-3xy^5}]^3$

Accepted Answer

$\frac{125x^6}{y^9}$

Answer

$\frac{-5x^6}{y^9}$

Answer

$[\frac{-125x^6y^2}{y^9}]$

Answer

$[\frac{5x^6y^2}{y^9}]$

Question 41

Classify the mathematical statement (x + 5 = 8) as equation or inequality

Accepted Answer

equation

Answer

inequality

Question 42

Classify the mathematical statement (3m – 2 = 4) as equation or inequality

Accepted Answer

equation

Answer

inequality

Question 43

Classify the mathematical statement (5 + y ≤ 2) as equation or inequality

Accepted Answer

Inequality

Answer

equation

Question 44

Classify the mathematical statement (b – 1 > -6) as equation or inequality

Accepted Answer

inequality

Answer

equation

Question 45

Classify  the mathematical statement (10y – 7 > - 5) as equation or inequality

Accepted Answer

inequality

Answer

equation

Question 46

Classify the equation (3x – x = 2x if x = 2 ) as identity, inconsistent or conditional equation.

Accepted Answer

identity

Answer

inconsistent

Answer

conditional

Answer

none of the above

Question 47

Classify the equation (2x – 4 = 0 ) as identity, inconsistent or conditional equation.

Accepted Answer

conditional

Answer

consistent

Answer

identity

Answer

inconsistent

Question 48

Classify the equation (x  +  x = 2x ) as identity, inconsistent or conditional equation.

Accepted Answer

identity

Answer

consistent

Answer

inconsistent

Answer

conditional

Question 49

Classify the equation (x - x = 1  ) as identity, inconsistent or conditional equation.

Accepted Answer

inconsistent

Answer

consistent

Answer

identity

Answer

conditional

Question 50

Classify the equation (x + 1 = x + 1  ) as identity, inconsistent or conditional equation.

Accepted Answer

identity

Answer

conditional

Answer

consistent

Answer

inconsistent

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