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

Solve the equation. Remember to check for extraneous solutions. 2 x + 11 = x + 10 \sqrt{2x+11}=\sqrt{x+10} 2 x + 1 1 <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 + 1 0 <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 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. m 10 = 2 m − 171 \sqrt{\frac{m}{10}}=\sqrt{2m-171} 1 0 m <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"> = 2 m − 1 7 1 <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 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. x = − 1 − 2 x x=\sqrt{-1-2x} x = − 1 − 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">

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

x = − 1 , 1 x=-1,\ 1 x = − 1 , 1

Solve the equation. Remember to check for extraneous solutions. 40 − 3 k = k \sqrt{40-3k}=k 4 0 − 3 k <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"> = k

k = − 8 , 3 k=-8,\ 3 k = − 8 , 3

k = − 8 , 5 k=-8,\ 5 k = − 8 , 5

Solve the equation. Remember to check for extraneous solutions. n = − 21 + 10 n n=\sqrt{-21+10n} n = − 2 1 + 1 0 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 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. 6 − b = b \sqrt{6-b}=b 6 − b <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"> = b

b = 2 , − 3 b=2,\ -3 b = 2 , − 3

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

Radical Equations Practice

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA.REI.A.2

Standards-aligned

Jacqueline Bagarozza

Used 75+ times

FREE Resource

12 questions

Show all answers

1.

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

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

3.

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

4.

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

5.

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

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the equation. Remember to check for extraneous solutions.

$\sqrt{2x+11}=\sqrt{x+10}$

$x=-1$

$x=1$

$x=-2$

$no\ solution$

Tags

CCSS.HSA.REI.A.2

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the equation. Remember to check for extraneous solutions.

$\sqrt{\frac{m}{10}}=\sqrt{2m-171}$

$m=9$

$m=2$

$m=90$

$no\ solution$

Tags

CCSS.HSA.REI.A.2

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Radical Equations Practice

12 questions

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. Remember to check for extraneous solutions.

$\sqrt{2x+11}=\sqrt{x+10}$

Solve the equation. Remember to check for extraneous solutions.

$\sqrt{\frac{m}{10}}=\sqrt{2m-171}$

Solve the equation. Remember to check for extraneous solutions.

$\sqrt{-1-2n}=\sqrt{3-n}$

Solve the equation. Remember to check for extraneous solutions.

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

Solve the equation. Remember to check for extraneous solutions.

$\sqrt{40-3k}=k$

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Radical Equations Practice

12 questions

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. Remember to check for extraneous solutions. 2x+11=x+10\sqrt{2x+11}=\sqrt{x+10}2x+11​=x+10​

Solve the equation. Remember to check for extraneous solutions. m10=2m−171\sqrt{\frac{m}{10}}=\sqrt{2m-171}10m​​=2m−171​

Solve the equation. Remember to check for extraneous solutions. −1−2n=3−n\sqrt{-1-2n}=\sqrt{3-n}−1−2n​=3−n​

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

Solve the equation. Remember to check for extraneous solutions. 40−3k=k\sqrt{40-3k}=k40−3k​=k

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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. Remember to check for extraneous solutions.

$\sqrt{2x+11}=\sqrt{x+10}$

Solve the equation. Remember to check for extraneous solutions.

$\sqrt{\frac{m}{10}}=\sqrt{2m-171}$

Solve the equation. Remember to check for extraneous solutions.

$\sqrt{-1-2n}=\sqrt{3-n}$

Solve the equation. Remember to check for extraneous solutions.

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

Solve the equation. Remember to check for extraneous solutions.

$\sqrt{40-3k}=k$