Grade 9 Algebra Notes & Practice Test
1. Linear Equations
Notes: Solve equations by isolating the variable using inverse operations.
Example: 2x + 5 = 15 → x = 5
Practice:
1) x + 7 = 20
2) 3x - 4 = 11
2. Slope
Notes: Slope measures steepness: m = (y2 - y1)/(x2 - x1).
Example: (2,3) and (6,11) → m = 2
Practice:
1) Find slope between (1,2) and (5,10)
2) Find slope between (3,4) and (7,4)
3. Graphing Linear Equations
Notes: Use y = mx + b form to graph lines.
Example: y = 2x + 1
Practice:
1) Graph y = x - 3
2) Graph y = -2x + 4
4. Exponents
Notes: Multiply powers with same base by adding exponents.
Example: x^2 · x^3 = x^5
Practice:
1) 2^3 × 2^2
2) x^4 × x^1
1. Linear Equations
Notes: Solve equations by isolating the variable using inverse operations.
Example: 2x + 5 = 15 → x = 5
Practice:
1) x + 7 = 20
2) 3x - 4 = 11
2. Slope
Notes: Slope measures steepness: m = (y2 - y1)/(x2 - x1).
Example: (2,3) and (6,11) → m = 2
Practice:
1) Find slope between (1,2) and (5,10)
2) Find slope between (3,4) and (7,4)
3. Graphing Linear Equations
Notes: Use y = mx + b form to graph lines.
Example: y = 2x + 1
Practice:
1) Graph y = x - 3
2) Graph y = -2x + 4
4. Exponents
Notes: Multiply powers with same base by adding exponents.
Example: x^2 · x^3 = x^5
Practice:
1) 2^3 × 2^2
2) x^4 × x^1
