1 8 , 10 \frac{1}{8},\ 10 8 1 , 1 0

Solving Quadratic Equations by Factoring and Square Root

Authored by Kim Spurling

Mathematics

8th Grade

CCSS covered

Used 157+ times

Solving Quadratic Equations by Factoring and Square Root

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10 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve by factoring. $x^2+5x-36=0$

-9, 4

$\pm6$

-12, 3

2, -18

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$Solve\ by\ factoring.\ x^2-x\ -56=0$

56, -1

-14, 4

2, -28

-7, 8

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

8x(x+1)(x-10)=0

-8, -1, 10

$\frac{1}{8},\ 10$

0, -1, 10

no real solution

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$Solve\ by\ factoring\ x^2-10x=-16$

2, 8

4, -4

-1, 16

no real solution

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which one of the following is the standard form of a quadratic equation?

y = mx + b

$y=mc^2$

$a^2+b^2=c^2$

$ax^2+bx+c=0$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$Solve\ by\ the\ square\ root\ property.\ \ x^2=15$

3, 5

$\pm\sqrt{15}$

$\pm15$

$\pm3\sqrt{5}$

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$-4x^2=64$

$\pm21$

$\pm32$

$\pm256$

no real solution

Tags

CCSS.8.EE.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$x^2-5=31$

$\pm6$

$\pm36$

$\pm26$

no real solution

Tags

CCSS.8.EE.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\left(x-5\right)^2=21$

$\pm\sqrt{21}$

$5\pm\sqrt{21}$

$\pm\sqrt{26}$

$5\pm\sqrt{26}$

Tags

CCSS.HSA-REI.B.4B

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Solving Quadratic Equations by Factoring and Square Root

Solve by factoring. x2+5x−36=0x^2+5x-36=0x2+5x−36=0

Solve by factoring. x2−x −56=0Solve\ by\ factoring.\ x^2-x\ -56=0Solve by factoring. x2−x −56=0

8x(x+1)(x-10)=0

Solve by factoring x2−10x=−16Solve\ by\ factoring\ x^2-10x=-16Solve by factoring x2−10x=−16

Which one of the following is the standard form of a quadratic equation?

Solve by the square root property. x2=15Solve\ by\ the\ square\ root\ property.\ \ x^2=15Solve by the square root property. x2=15

−4x2=64-4x^2=64−4x2=64

x2−5=31x^2-5=31x2−5=31

(x−5)2=21\left(x-5\right)^2=21(x−5)2=21

True or False. When solving quadratic equations using the square root property, the first step is to isolate the squared expression.

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Solve by factoring. $x^2+5x-36=0$

$Solve\ by\ factoring.\ x^2-x\ -56=0$

$Solve\ by\ factoring\ x^2-10x=-16$

$Solve\ by\ the\ square\ root\ property.\ \ x^2=15$

$-4x^2=64$

$x^2-5=31$

$\left(x-5\right)^2=21$