Math Examples
Step-by-step worked examples to help students understand concepts clearly, prepare for exams, and build strong problem-solving skills.
📘 Algebra
Example 1:
Solve: 3x − 7 = 11
3x = 18
x = 6
Solve: 3x − 7 = 11
3x = 18
x = 6
Example 2:
Simplify: 2(a + 3) − a
= 2a + 6 − a
= a + 6
More Algebra
Simplify: 2(a + 3) − a
= 2a + 6 − a
= a + 6
📐 Geometry
Example:
Area of a rectangle with
length = 8 cm, width = 5 cm
Area = l × w = 8 × 5 = 40 cm²
Area of a rectangle with
length = 8 cm, width = 5 cm
Area = l × w = 8 × 5 = 40 cm²
Perimeter:
P = 2(l + w) = 2(8 + 5) = 26 cm
More Geometry
P = 2(l + w) = 2(8 + 5) = 26 cm
📊 Trigonometry
Example:
sin 30° = ½
cos 60° = ½
sin 30° = ½
cos 60° = ½
Find hypotenuse if
sin θ = 3/5
Hypotenuse = 5 units
More Trigonometry
sin θ = 3/5
Hypotenuse = 5 units
📈 Statistics
Mean:
Data: 2, 4, 6, 8
Mean = (2+4+6+8) ÷ 4 = 5
Data: 2, 4, 6, 8
Mean = (2+4+6+8) ÷ 4 = 5
Median:
Middle value = 5
More Statistics
Middle value = 5