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8.6.5 Practice

Algebra 18.6.5 Practice

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8.6.5 • Practice

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

Write $(x + 6)(x + 5)$ in standard form.

$x^2−11x +30$
$x^2+30$
$x^2+11x +30$
$x^2+10x −30$

Write $(x − 3)(x − 7)$ in standard form.

$x^2−10x +21$
$x^2+10x +21$
$x^2+10x −21$
$x^2+21$

An expression in standard form is shown. The diagram below shows it is equivalent to which expression in factored form?

	$x$	$2$
$x$	$x ²$	$2x$
$9$	$9x$	$18$

$x^2+11x +18$

$x(x + 18)$
$(x + 2)(x − 9)$
$(x + 2)(x + 9)$
$(x − 2)(x − 9)$

An expression in standard form is shown. The diagram below shows it is equivalent to which expression in factored form?

	$x$	$-5$
$x$	$x ²$	$-5x$
$-7$	$-7x$	$35$

$x^2− 12x + 35$

$(x + 5)(x + 7)$
$x(x − 35)$
$(x − 5)(x + 7)$
$(x − 5)(x − 7)$

Find the factored form of $x^2+13x +36$ .

$(x + 9)(x + 4)$
$(x + 18)(x + 2)$
$(x + 12)(x + 1)$
$(x − 12)(x − 3)$

Find the factored form of $x^2−14x +48$ .

$(x − 6)(x − 8)$
$(x − 7)(x − 7)$
$(x − 12)(x − 4)$
$(x − 10)(x − 4)$

Find the factored form of $x^2+13x +30$ .

$(x + 6)(x + 7)$
$(x + 3)(x + 10)$
$(x + 6)(x + 5)$
$(x + 15)(x + 2)$

Find the factored form of $x^2−12x +27$ .

$(x − 6)(x − 6)$
$(x − 27)(x − 1)$
$(x − 7)(x − 5)$
$(x − 9)(x − 3)$

Find the factored form of $x^2−13x +22$ .

$(x − 6)(x − 7)$
$(x − 22)(x − 1)$
$(x − 12)(x − 1)$
$(x − 11)(x − 2)$

Here are pairs of equivalent expressions: one in standard form and the other in factored form. Find the missing numbers.

$x^2+20x +96$ and $(x\; +$ __ $)(x\; +$ __ $)$

14, 6
24, 4
12, 8
10, 10

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- Authors: Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis, Jay Abramson, Sharon North, Amy Baldwin, Alyssa Howell
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- Book title: Algebra 1
- Publication date: Jun 4, 2025
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- Section URL: https://openstax.org/books/algebra-1/pages/8-6-5-practice

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