Practice - Algebra 1

6.7.5 Practice

6.7.5 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

For questions 1 - 10, factor each of the expressions completely.

$36x^2y + 15xy − 6y$

$3y(3x−2)(4x+1)$
$3y(3x−2)(4x−1)$
$(3x+2)(4x−1)$
$3y(3x+2)(4x−1)$

$49b^2−36a^2$

$(6b−7a)(6b+7a)$
$(7b−6a)^2$
$(7b−6a)(7b+6a)$
$(7b+6a)^2$

$49b^2−112b+64$

$(7b+8)(7b−8)$
$(7b+8)^2$
$(8b+7)(8b−7)$
$(7b−8)2$

$7b^2+7b−42$

$7(b+3)(b−2)$
$7(b−3)(b−2)$
$7(b−3)(b+2)$
$7(b+3)(b+2)$

$15pq−15p+12q−12$

$3(5p+4)(q−1)$
$3(5p+4)(q+1)$
$3(4p+5)(q−1)$
$3(5p−4)(q−1)$

$4x^2+40x+84$

$4(x+3)(x−7)$
$(4x+3)(x+7)$
$4(x−3)(x−7)$
$4(x+3)(x+7)$

$m^2+14mn+49n^2$

$(7m+n)^2$
$(m+7n)^2$
$(m+7n)(m−7n)$
$(7m+n)(7m−n)$

$(4x−5)^2−7(4x−5)+12$

$(4x−4)(4x−3)$
$(x−4)(x−3)$
$(4x−9)(4x−8)$
$(4x−4)(4x+3)$

$8m^2−32$

$4(2m−2)(2m+2)$
$8(m+2)^2$
$8(m−2)^2$
$8(m−2)(m+2)$

$9x^2−6xy+y^2−49$

$(3x−y+7)^2$
$(3x−y+7)(3x−y−7)$
$(3x−y−7)^2$
$(x−3y+7)(x−3y−7)$