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?