8 − 3 ( k + 2 ) = 2 − 3 k 8-3\left(k+2\right)=2-3k 8 − 3 ( k + 2 ) = 2 − 3 k

I n f i n i t e S o l u t i o n s Infinite\ Solutions I n f i n i t e S o l u t i o n s

N o S o l u t i o n s No\ Solutions N o S o l u t i o n s

− 7 ( a − 3 ) = 11 − 7 a -7\left(a-3\right)=11-7a − 7 ( a − 3 ) = 1 1 − 7 a

N o S o l u t i o n No\ Solution N o S o l u t i o n

I n f i n i t e S o l u t i o n s Infinite\ Solutions I n f i n i t e S o l u t i o n s

∣ x + 1 ∣ = 6 \left|x+1\right|=6 ∣ x + 1 ∣ = 6

{ − 7 , 5 } \left\{-7,\ 5\right\} { − 7 , 5 }

{ 7 , − 5 } \left\{7,\ -5\right\} { 7 , − 5 }

{ − 7 , 3 } \left\{-7,\ 3\right\} { − 7 , 3 }

{ 7 , 3 } \left\{7,\ 3\right\} { 7 , 3 }

∣ 6 c − 18 ∣ = 30 \left|6c-18\right|=30 ∣ 6 c − 1 8 ∣ = 3 0

{ − 2 , 8 } \left\{-2,\ 8\right\} { − 2 , 8 }

{ − 8 , 2 } \left\{-8,\ 2\right\} { − 8 , 2 }

{ 8 , 2 } \left\{8,\ 2\right\} { 8 , 2 }

{ 2 , − 8 } \left\{2,\ -8\right\} { 2 , − 8 }

− 4 ∣ 2 w + 6 ∣ = − 32 -4\left|2w+6\right|=-32 − 4 ∣ 2 w + 6 ∣ = − 3 2

{ − 7 , 1 } \left\{-7,1\right\} { − 7 , 1 }

{ 7 , − 1 } \left\{7,\ -1\right\} { 7 , − 1 }

{ 1 , − 7 } \left\{1,\ -7\right\} { 1 , − 7 }

{ − 1 , 7 } \left\{-1,\ 7\right\} { − 1 , 7 }

5 ∣ 4 x − 4 ∣ − 9 = 31 5\left|4x-4\right|-9=31 5 ∣ 4 x − 4 ∣ − 9 = 3 1

{ − 1 , 3 } \left\{-1,\ 3\right\} { − 1 , 3 }

{ 1 , − 3 } \left\{1,\ -3\right\} { 1 , − 3 }

{ 3 , − 1 } \left\{3,\ -1\right\} { 3 , − 1 }

{ − 3 , 1 } \left\{-3,\ 1\right\} { − 3 , 1 }

S o l v e : I = p r t f o r t Solve:\ I=prt\ \ \ for\ \ t S o l v e : I = p r t f o r t

t = I p r t=\frac{I}{pr} t = p r I

t = I − p r t=I-pr t = I − p r

t = I p − r t=\frac{I}{p}-r t = p I − r

S o l v e : A x + B y = C f o r y Solve:\ Ax\ +\ By\ =\ C\ for\ y S o l v e : A x + B y = C f o r y

y = C − A x B y=\frac{C-Ax}{B} y = B C − A x

y = C + A x − B y=C+Ax\ -B y = C + A x − B

y = C A x − B y=\frac{C}{Ax}-B y = A x C − B

y = C − A x − B y=\ C-Ax-B y = C − A x − B

S o l v e : r = 4 3 ( p − q ) f o r p Solve:\ r=\frac{4}{3}\left(p-q\right)\ for\ p S o l v e : r = 3 4 ( p − q ) f o r p

p = 3 4 r + q p=\frac{3}{4}r+q p = 4 3 r + q

p = 4 3 r − q p=\frac{4}{3}r-q p = 3 4 r − q

p = 4 3 r + q p=\frac{4}{3}r+q p = 3 4 r + q

p = 4 3 q + r p=\frac{4}{3}q+r p = 3 4 q + r

− 4 x − 11 > 5 o r 8 x − 7 > 9 -4x-11>5\ or\ 8x-7>9 − 4 x − 1 1 > 5 o r 8 x − 7 > 9

x < − 4 o r x > 2 x<-4\ or\ x>2 x < − 4 o r x > 2

x < − 2 o r x > 4 x<-2\ or\ x\ >4 x < − 2 o r x > 4

x < 2 o r x > 4 x<\ 2\ or\ x>\ 4 x < 2 o r x > 4

x < − 1 o r x > 1 x<-1\ or\ x>1 x < − 1 o r x > 1

− 2 x − 1 < − 17 o r 1 − x ≥ 4 -2x-1<-17\ or\ 1-x\ge4 − 2 x − 1 < − 1 7 o r 1 − x ≥ 4

x ≤ − 3 o r x > 8 x\le-3\ or\ x>8 x ≤ − 3 o r x > 8

x < 3 o r x > 8 x<3\ or\ x>8 x < 3 o r x > 8

x < − 3 o r x ≥ 8 x<-3\ or\ x\ge8 x < − 3 o r x ≥ 8

x < − 2 o r x > 5 x<-2\ or\ x>5 x < − 2 o r x > 5

− 31 < 9 x + 5 < 32 -31<9x+5<32 − 3 1 < 9 x + 5 < 3 2

− 4 < x < 3 -4<x<3 − 4 < x < 3

− 3 < x < 4 -3<x<4 − 3 < x < 4

− 4 ≤ x ≤ 3 -4\le x\le3 − 4 ≤ x ≤ 3

− 24 ≤ 2 x − 10 < − 6 -24\le2x-10<-6 − 2 4 ≤ 2 x − 1 0 < − 6

− 7 ≤ x < 2 -7\le x<2 − 7 ≤ x < 2

− 7 < x ≤ 2 -7<x\le2 − 7 < x ≤ 2

− 7 ≤ x ≤ 2 -7\le x\le2 − 7 ≤ x ≤ 2

− 7 < x < 2 -7<x<2 − 7 < x < 2

∣ 2 x + 8 ∣ ≥ 6 \left|2x+8\right|\ge6 ∣ 2 x + 8 ∣ ≥ 6

x ≤ − 7 o r x ≥ 1 x\le-7\ or\ x\ge1 x ≤ − 7 o r x ≥ 1

x < − 7 o r x > 1 x<-7\ or\ x>1 x < − 7 o r x > 1

x ≤ 1 o r x ≥ 7 x\le1\ or\ x\ge7 x ≤ 1 o r x ≥ 7

x < 1 o r x > 7 x<1\ or\ x>7 x < 1 o r x > 7

2 ∣ x − 4 ∣ − 7 ≤ 1 2\left|x-4\right|-7\le1 2 ∣ x − 4 ∣ − 7 ≤ 1

0 ≤ x ≤ 8 0\le x\le8 0 ≤ x ≤ 8

− 2 ≤ x ≤ 6 -2\le x\le6 − 2 ≤ x ≤ 6

− 1 ≤ x < 8 -1\le x<8 − 1 ≤ x < 8

Solving Equations and Inequalities Unit Review

Authored by Amy Hammers

Mathematics

8th - 9th Grade

CCSS covered

Used 6+ times

Solving Equations and Inequalities Unit Review

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

25 questions

Show all answers

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$-5\left(x-2\right)-\left(x+2\right)=50$

$7$

$-7$

$-10$

$5$

Tags

CCSS.8.EE.C.7B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$8-3\left(k+2\right)=2-3k$

$Infinite\ Solutions$

$7$

$No\ Solutions$

$13$

Tags

CCSS.8.EE.C.7A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$3w-\left(7w+12\right)=2\left(w-3\right)$

$0$

$-1$

$2$

$1$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$-7\left(a-3\right)=11-7a$

$No\ Solution$

$Infinite\ Solutions$

$0$

$11$

Tags

CCSS.8.EE.C.7A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$9\left(n-4\right)-7n=32-2\left(n+8\right)$

$15$

$-13$

$8$

$13$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$4\left(4y-3\right)-\left(y-5\right)=-52$

$-2$

$1$

$-3$

$3$

Tags

CCSS.8.EE.C.7B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\left|x+1\right|=6$

$\left\{7,\ -5\right\}$

$\left\{-7,\ 5\right\}$

$\left\{-7,\ 3\right\}$

$\left\{7,\ 3\right\}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\left|6c-18\right|=30$

$\left\{-8,\ 2\right\}$

$\left\{8,\ 2\right\}$

$\left\{2,\ -8\right\}$

$\left\{-2,\ 8\right\}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$-4\left|2w+6\right|=-32$

$\left\{7,\ -1\right\}$

$\left\{-7,1\right\}$

$\left\{1,\ -7\right\}$

$\left\{-1,\ 7\right\}$

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$5\left|4x-4\right|-9=31$

$\left\{1,\ -3\right\}$

$\left\{-1,\ 3\right\}$

$\left\{3,\ -1\right\}$

$\left\{-3,\ 1\right\}$

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

20 questions

Математикалық сауаттылық

Quiz

•

1st Grade - Professio...

20 questions

Addition and Multiplication Properties

Quiz

•

9th - 12th Grade

20 questions

Nivel I Olimpiadas

Quiz

•

7th - 10th Grade

20 questions

Prueba de Cálculo mental G1

Quiz

•

6th - 8th Grade

20 questions

radicales

Quiz

•

9th - 12th Grade

20 questions

Определение и свойства степени с целым показателем

Quiz

•

8th Grade

20 questions

Números Enteros

Quiz

•

7th - 8th Grade

20 questions

Mineduc D

Quiz

•

7th - 12th Grade

Popular Resources on Wayground

10 questions

5.P.1.3 Distance/Time Graphs

Quiz

•

5th Grade

10 questions

Fire Drill

Quiz

•

2nd - 5th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

15 questions

Hargrett House Quiz: Community & Service

Quiz

•

5th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

15 questions

Pythagorean Theorem Word Problems Quizizz

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

10 questions

Exploring Basic Probability Concepts

Interactive video

•

6th - 10th Grade

73 questions

Math 8 Benchmark Review

Quiz

•

8th Grade

20 questions

Pythagorean Theorem Review

Quiz

•

8th Grade

25 questions

Linear vs Nonlinear Functions

Quiz

•

8th Grade

20 questions

Surface Area of Rectangular Prisms

Quiz

•

8th Grade

11 questions

Adding and Subtracting Polynomials

Quiz

•

9th Grade

Solving Equations and Inequalities Unit Review

−5(x−2)−(x+2)=50-5\left(x-2\right)-\left(x+2\right)=50−5(x−2)−(x+2)=50

8−3(k+2)=2−3k8-3\left(k+2\right)=2-3k8−3(k+2)=2−3k

3w−(7w+12)=2(w−3)3w-\left(7w+12\right)=2\left(w-3\right)3w−(7w+12)=2(w−3)

−7(a−3)=11−7a-7\left(a-3\right)=11-7a−7(a−3)=11−7a

9(n−4)−7n=32−2(n+8)9\left(n-4\right)-7n=32-2\left(n+8\right)9(n−4)−7n=32−2(n+8)

4(4y−3)−(y−5)=−524\left(4y-3\right)-\left(y-5\right)=-524(4y−3)−(y−5)=−52

∣x+1∣=6\left|x+1\right|=6∣x+1∣=6

∣6c−18∣=30\left|6c-18\right|=30∣6c−18∣=30

−4∣2w+6∣=−32-4\left|2w+6\right|=-32−4∣2w+6∣=−32

5∣4x−4∣−9=315\left|4x-4\right|-9=315∣4x−4∣−9=31

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

$-5\left(x-2\right)-\left(x+2\right)=50$

$8-3\left(k+2\right)=2-3k$

$3w-\left(7w+12\right)=2\left(w-3\right)$

$-7\left(a-3\right)=11-7a$

$9\left(n-4\right)-7n=32-2\left(n+8\right)$

$4\left(4y-3\right)-\left(y-5\right)=-52$

$\left|x+1\right|=6$

$\left|6c-18\right|=30$

$-4\left|2w+6\right|=-32$

$5\left|4x-4\right|-9=31$