Lesson-Solving Algebraic equations

Learning Intention:  Form and solve simple linear equations preferably using the 'keeping it balanced method' i.e "what you do to one side you do to the other"

Explanation:

An equation is like a set of scales with an equal sign (=). The expression on the right is equal to the expression on the left.

To solve, keep the equation balanced by doing the same thing to each side.

Try to isolate the variable (e.g. x) by itself.

Formatting when solving:

1) start each step of working on a new line

2) make sure the equal signs are lined up at each step

Example:

Tasks:

• Balancing boxes and bags - interactive

• Balance when adding and subtracting

• Mathsplayground interactive Algebra equation

CL3: a) 5a = 35

EP: Balancing Equations; EP: Solving using trial and improvement;

CL4: b) 2n + 3 = 21

EP: Solving Linear Equations; EP: Linear Word Problems;

CL5: c) 5c + 4 = 2c -2

EP: Solving equations with x on both sides;

CL5+: d) x2 + 5 = 30

EP: Solving quadratic equations; EP: More quadratic equations;

Diagnostic answers:

a=7, b=9, c=-2, d=5

Other resources:

• MathPapa: Interactive Algebra lessons