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G8U4Q1. Balancing Equations Review

Total questions: 9

Worksheet time: 1hrs 3mins

Name
Class
Date
1.

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.

a)

6x+4 = 2x+8

b)

2x+2 = 4x+2

c)

2x+12 = 4x+4

2.

red square = -1

blue heart = z

What would be the equation?

a)

2z - 1 = -5

b)

2z + 1 = 5

c)

z2z^2 -1 = -5

d)

z - 1 = 5

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.

a)

4x+15 = 6x+20

b)

6x+15 = 4x+20

c)

6x+3 = 4x+4

4.

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


*Just type in the number*

(a)  

5.
5 - 2t = 3t
a)
1
b)
5
c)
3
d)
2
6.
6x - 4 = 8x
a)
2
b)
-2
c)
3
d)
0
7.
Solve the equation:
3(x - 1) = 2x + 9
a)
x = 12
b)
no solution
c)
x = 10
d)
x = 6
8.
6( -5 - 4b) = -7b + 38
a)
b = 9
b)
b = -8
c)
b = -10
d)
b = -4
9.

What do equations and balanced hangers have in common?

a)

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

b)

You only have to work on both sides

c)

Neither has unknown values

d)

Both sides are no equal to one another.