Name: 
 

Lesson 5 - Equation-Solving Strategies



 1. 

In the questions that follow, the red counters indicate positive values and the blue counters indicate negative values.
Which equation is modelled in the diagram?

                            mc001-1.jpg
a.
-3x + 4 = -5x
c.
4x - 5 = -3x
b.
3x - 4 = 5x
d.
5x + 4 = -3x
 

 2. 

What is the solution to the equation in question 1?
a.
x = 4
b.
x = 1
c.
x = -4
d.
x = -2
 

 3. 

Which equation is modelled in the diagram?

                    mc003-1.jpg
a.
7x + 2 = 5x - 4
c.
5x - 2 = 7x + 4
b.
4x - 7 = 2x + 5
d.
4x + 7 = 2x - 5
 

 4. 

What is the solution to the equation in question 3?
a.
x = 1
b.
x = -6
c.
x = 5
d.
x = -3
 

 5. 

Which equation is modelled in the diagram?

                     mc005-1.jpg
a.
3x - 2 = -5x + 6
c.
2x - 6 = -3x + 5
b.
3x + 2 = -5x - 6
d.
6x + 5 = 2x - 3
 

 6. 

What is the solution to the equation in question 5?
a.
x = -1
b.
x = 4
c.
x = 1
d.
x = -6
 

 7. 

What is the solution to this equation?

          4x + 3 = 3x – 1
a.
x = 3
b.
x = 4
c.
x = -6
d.
x = -4
 

 8. 

What is the solution to this equation?

            –3x + 7 = 2x – 3
a.
x = -5
b.
x = 2
c.
x = 1
d.
x = -3
 

 9. 

What is the solution to this equation?

            4x + 15 = –5x – 12
a.
x = -9
b.
x = 5
c.
x = -3
d.
x = 2
 

 10. 

What is the solution to this equation?

            3(x + 1) = 5(x – 3)
a.
x = 9
b.
x = -7
c.
x = 3
d.
x = -4
 



 
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