### MPM1D – Principles of Mathematics – Grade 9 Academic

#### Sec. 3.1 – Solving Simple Equations – One and Two Step Equations

Learn how to solve a simple equation involving two-steps:

Solve:

4m – 6 = 12

#### Sec. 3.2 – Solve Two-Step Equations

Learn how to solve a two-step equation:

Solve:

7x – 4 = 10

#### Sec. 3.2 – How to Solve Multi-Step Equations Involving Like Terms

Solve:

3 + 4m + 5m = 21

#### Sec. 3.2 – How to Solve Multi-Step Equations With Variable Terms on Both Sides

Solve:

4y – 13 = -6y + 7

#### Sec. 3.2 – How to Solve Equations Involving Distributive Property

Solve:

4(k – 3) = 2 – (2k – 6)

#### Sec. 3.3 – How to Solve Equations with One Fraction

Solve:

(1/3)(x – 2) = 5

and

16 = [3(v + 7)]/2

#### Sec. 3.3 – How to Solve Equations with One Fraction and Distribution

Solve:

[3(z – 5)]/4 = 7

#### Sec. 3.3 – How to Solve Equations with One Fraction and Distribution (Part 2)

Solve:

3 = [2(n + 7)]/5

#### Sec. 3.3 – Solving Equations with One Fraction Application Questions

A trapezoidal backyard has an area of 100 m^2. The front and back widths are 8 m and 12 m, as shown in the diagram.

What is the length of the yard from front to back?

#### Sec. 3.4 – Modelling and Rearranging Formulas

Rearrange the following equation for ‘h’

V = p(r^2)h

#### Sec. 3.6.R – Create and Solve Equations from Word Problems

The sum of two consecutive even integers is -134. Find the numbers.

#### Sec. 3.6.R – Problem Solving Using Equations

The length of Laurie’s rectangular swimming pool is triple its width. The pool covers an area of 192 m^2.

If Laurie swims across the diagonal and back, how far does she travel?