Solve for y: 3 − 4 y = 18 \frac{3}{-4}y\ =\ 18 − 4 3 y = 1 8

y = − 27 2 y=-\frac{27}{2} y = − 2 2 7

Solve for k, write your answer as a simplified fraction: − 5 ( 2 k − 1 ) = 17 − 2 k -5\left(2k-1\right)\ =\ 17-2k − 5 ( 2 k − 1 ) = 1 7 − 2 k

k = − 3 2 k=-\frac{3}{2} k = − 2 3

k = − 11 4 k=-\frac{11}{4} k = − 4 1 1

k = − 2 3 k\ =\ -\frac{2}{3} k = − 3 2

Solve for x: 50 = 5 4 ( 3 x − 8 ) 50=\frac{5}{4}\left(3x-8\right) 5 0 = 4 5 ( 3 x − 8 )

x = 16 3 x=\frac{16}{3} x = 3 1 6

x = 15 4 x\ =\ \frac{15}{4} x = 4 1 5

Solve for x: − 20 = x − 3 6 -20=\frac{x-3}{6} − 2 0 = 6 x − 3

x = − 117 x=-117 x = − 1 1 7

x = − 123 x=-123 x = − 1 2 3

x = − 1 3 x=-\frac{1}{3} x = − 3 1

solve for x, write your final answer as a simplified fraction: 3 ( 4 − x ) = 10 − 2 ( 3 x + 1 ) 3\left(4-x\right)=10-2\left(3x+1\right) 3 ( 4 − x ) = 1 0 − 2 ( 3 x + 1 )

x = − 4 3 x\ =\ -\frac{4}{3} x = − 3 4

x = 3 4 x\ =\ \frac{3}{4} x = 4 3

Solve for w: 2 w + 6 5 = 8 \frac{2w+6}{5}=8 5 2 w + 6 = 8

w = − 3 2 w=-\frac{3}{2} w = − 2 3

What is the definition of infinite solutions?

no matter what constant is substituted in for the variable, the equation is ALWAYS true

no matter what constant is substituted in for the variable, the equation will NEVER be true

only this ONE solution will make the equation true

What is the definition of no solution?

no matter what constant is substituted in for the variable, the equation will NEVER be true

no matter what constant is substituted in for the variable, the equation is ALWAYS true

only this ONE solution will make the equation true

What is the definition of one solution?

only this ONE solution will make the equation true

no matter what constant is substituted in for the variable, the equation is ALWAYS true

no matter what constant is substituted in for the variable, the equation will NEVER be true

Solving and Writing Equations

9th - 12th Grade

•

53 Qs

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Solving and Writing Equations

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

7.EE.B.4A, 8.EE.C.7A, 8.EE.C.7B

Standards-aligned

Adrian Jackson

FREE Resource

53 questions

Show all answers

MULTIPLE CHOICE QUESTION

5 mins • 2 pts

4x - 7 = 21

x = 12

x = 7

x = 24

Tags

CCSS.7.EE.B.4A

MULTIPLE CHOICE QUESTION

5 mins • 2 pts

What is the first step to solve this equation:
-3x + 11 = 44

Add 3 to both sides

Subtract 11 from both sides

Add 11 to both sides

Divide 3 on both sides.

Tags

CCSS.7.EE.B.4A

MULTIPLE CHOICE QUESTION

5 mins • 2 pts

3c + 5 = 23

c = 3

c = 6

c = 7

c = 18

Tags

CCSS.7.EE.B.4A

MULTIPLE CHOICE QUESTION

5 mins • 2 pts

2k + 12 = -4

-8

-10

Tags

CCSS.7.EE.B.4A

MULTIPLE CHOICE QUESTION

5 mins • 2 pts

0 = 8z + 8

-1

Tags

CCSS.6.EE.B.7

MULTIPLE CHOICE QUESTION

5 mins • 2 pts

What is the first step in solving this equation 8x - 6 = 10

Add 6

Subtract 8

Divide by 8

Subtract 6

Tags

CCSS.7.EE.B.4A

MULTIPLE CHOICE QUESTION

5 mins • 2 pts

Tags

CCSS.7.EE.B.4A

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