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?

 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?

 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?

 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