G8U4Q1. Balancing Equations Review

In this diagram:

• x represents the weight of each triangle.

• 2 is the weight of each circle.

Select an equation that could represent a balanced hanger.

• 6x+4 = 2x+8

• 2x+2 = 4x+2

• 2x+12 = 4x+4

Tags

CCSS.HSA.CED.A.3

red square = -1

blue heart = z

What would be the equation?

• 2z - 1 = -5

• 2z + 1 = 5

• z - 1 = 5

Tags

CCSS.HSA.CED.A.3

Hangers A and B are both balanced. In this diagram:

• x represents the weight of each triangle (in pounds).

• 5 is the weight of each square (in pounds).

Write an equation to represent Hanger B.

• 4x+15 = 6x+20

• 6x+15 = 4x+20

• 6x+3 = 4x+4

Tags

CCSS.HSA.CED.A.3

The scale is balanced. Find the weight of one triangle, if each circle weighs 4 pounds.

*Just type in the number*

(a)  

Tags

CCSS.6.EE.B.7

5 - 2t = 3t

• 1
• 5
• 3
• 2

Tags

CCSS.8.EE.C.7B

6x - 4 = 8x

• 2
• -2
• 3
• 0

Tags

CCSS.6.EE.B.7

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Solve the equation:
3(x - 1) = 2x + 9

• x = 12
• no solution
• x = 10
• x = 6

Tags

CCSS.6.EE.B.7

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

6( -5 - 4b) = -7b + 38

• b = 9
• b = -8
• b = -10
• b = -4

Tags

CCSS.8.EE.C.7B

What do equations and balanced hangers have in common?

• What ever you do to one side, you have to do to the other

• You only have to work on both sides

• Neither has unknown values

• Both sides are no equal to one another.

Tags

CCSS.6.EE.B.7