Solve the equation. Remember to check for extraneous solutions. -7+\sqrt{8p}=-3 − 7 + 8 p <path d="M263,681c0.7,0,18,39.7,52,119c34,79.3,68.167, 158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120c340,-704.7,510.7,-1060.3,512,-1067 c4.7,-7.3,11,-11,19,-11H40000v40H1012.3s-271.3,567,-271.3,567c-38.7,80.7,-84, 175,-136,283c-52,108,-89.167,185.3,-111.5,232c-22.3,46.7,-33.8,70.3,-34.5,71 c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1s-109,-253,-109,-253c-72.7,-168,-109.3, -252,-110,-252c-10.7,8,-22,16.7,-34,26c-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26 s76,-59,76,-59s76,-60,76,-60z M1001 80H40000v40H1012z"> = − 3

p = − 10 , 9 p=-10,\ 9 p = − 1 0 , 9

Solve the equation. Remember to check for extraneous solutions. − 5 = 7 x + 2 − 9 -5=\sqrt{7x+2}-9 − 5 = 7 x + 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 9

x = − 10 , 8 x=-10,\ 8 x = − 1 0 , 8

n o s o l u t i o n no\ solution n o s o l u t i o n

Solve the equation. Remember to check for extraneous solutions. − 48 = − 6 x 10 -48=-6\sqrt{\frac{x}{10}} − 4 8 = − 6 1 0 x <path d="M424,2478c-1.3,-0.7,-38.5,-172,-111.5,-514c-73, -342,-109.8,-513.3,-110.5,-514c0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5, 25c-5.7,9.3,-9.8,16,-12.5,20s-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13, -13s76,-122,76,-122s77,-121,77,-121s209,968,209,968c0,-2,84.7,-361.7,254,-1079 c169.3,-717.3,254.7,-1077.7,256,-1081c4,-6.7,10,-10,18,-10H400000v40H1014.6 s-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185c-2,6,-10,9,-24,9 c-8,0,-12,-0.7,-12,-2z M1001 80H400000v40H1014z">

x = 640 , 9 x=640,\ 9 x = 6 4 0 , 9

n o s o l u t i o n no\ solution n o s o l u t i o n

Solve the equation. Remember to check for extraneous solutions. 8 = 8 − 7 n 8=\sqrt{8-7n} 8 = 8 − 7 n <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

n = − 8 , − 5 n=-8,\ -5 n = − 8 , − 5

n = − 8 , 3 n=-8,\ 3 n = − 8 , 3

Solve the equation. Remember to check for extraneous solutions. − 1 − x = − 8 − 2 x \sqrt{-1-x}=\sqrt{-8-2x} − 1 − x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> = − 8 − 2 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

x = − 7 , 7 x=-7,\ 7 x = − 7 , 7

n o s o l u t i o n no\ solution n o s o l u t i o n

45 \sqrt{45} 4 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> =

3 5 3\sqrt{5} 3 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

5 3 5\sqrt{3} 5 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

9 5 9\sqrt{5} 9 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

5 9 5\sqrt{9} 5 9 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Algebra 1: Chapter 10 Quiz

Authored by Jeffrey Rico

Mathematics

9th Grade

CCSS covered

Used 4+ times

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20 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the equation. Remember to check for extraneous solutions.

$-7+\sqrt{8p}=-3$

$p=-5$

$p=2$

$p=9$

$p=-10,\ 9$

Tags

CCSS.HSA.REI.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the equation. Remember to check for extraneous solutions.

$-5=\sqrt{7x+2}-9$

$x=-10,\ 8$

$no\ solution$

$x=2$

$x=8$

Tags

CCSS.HSA.REI.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the equation. Remember to check for extraneous solutions.

$-48=-6\sqrt{\frac{x}{10}}$

$x=640,\ 9$

$no\ solution$

$x=-2$

$x=640$

Tags

CCSS.HSA.REI.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the equation. Remember to check for extraneous solutions.

$8=\sqrt{8-7n}$

$n=-8,\ -5$

$n=-3$

$n=-8,\ 3$

$n=-8$

Tags

CCSS.HSA.REI.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the equation. Remember to check for extraneous solutions.

$\sqrt{-1-x}=\sqrt{-8-2x}$

$x=7$

$x=-7$

$x=-7,\ 7$

$no\ solution$

Tags

CCSS.HSA.REI.A.2

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Solve the equation
$\sqrt{3x-3}=2$

Tags

CCSS.HSA.REI.A.2

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Solve the equation
$\sqrt{9x+3}-11=-8$

Tags

CCSS.HSA.REI.A.2

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Solve the equation.

$\sqrt{10x-1}-7=5$

Tags

CCSS.HSA.REI.A.2

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Solve the equation.

$-21=-7\sqrt{x+2}$

Tags

CCSS.HSA.REI.A.2

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Algebra 1: Chapter 10 Quiz

Solve the equation. Remember to check for extraneous solutions. -7+\sqrt{8p}=-3−7+8p​=−3

Solve the equation. Remember to check for extraneous solutions. −5=7x+2−9-5=\sqrt{7x+2}-9−5=7x+2​−9

Solve the equation. Remember to check for extraneous solutions. −48=−6x10-48=-6\sqrt{\frac{x}{10}}−48=−610x​​

Solve the equation. Remember to check for extraneous solutions. 8=8−7n8=\sqrt{8-7n}8=8−7n​

Solve the equation. Remember to check for extraneous solutions. −1−x=−8−2x\sqrt{-1-x}=\sqrt{-8-2x}−1−x​=−8−2x​

Solve the equation 3x−3=2\sqrt{3x-3}=23x−3​=2

Solve the equation 9x+3−11=−8\sqrt{9x+3}-11=-89x+3​−11=−8

Solve the equation. 10x−1−7=5\sqrt{10x-1}-7=510x−1​−7=5

Solve the equation. −21=−7x+2-21=-7\sqrt{x+2}−21=−7x+2​

Solve the equation

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Discover more resources for Mathematics

Solve the equation. Remember to check for extraneous solutions.

$-7+\sqrt{8p}=-3$

Solve the equation. Remember to check for extraneous solutions.

$-5=\sqrt{7x+2}-9$

Solve the equation. Remember to check for extraneous solutions.

$-48=-6\sqrt{\frac{x}{10}}$

Solve the equation. Remember to check for extraneous solutions.

$8=\sqrt{8-7n}$

Solve the equation. Remember to check for extraneous solutions.

$\sqrt{-1-x}=\sqrt{-8-2x}$

Solve the equation
$\sqrt{3x-3}=2$

Solve the equation
$\sqrt{9x+3}-11=-8$

Solve the equation.

$\sqrt{10x-1}-7=5$

Solve the equation.

$-21=-7\sqrt{x+2}$