# Year 9 Maths Help & Practice

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##### 1Number Theory

##### 2Adding and Subtracting Integers

##### 3Multiplying and Dividing Integers

##### 4Rational Numbers

##### 5Powers and Exponents

##### 6Ratios, Rates, and Proportions

##### 7Proportional Relationships

##### 8Percents

##### 9Radicals

##### 10Measuring Systems

##### 11Coordinates, Quadrants, and Transformations

##### 12Angles, Lines, and Transversals

##### 13Symmetry and Surface Area

##### 14Properties of triangles

##### 15Circles

##### 16Scale Factors and Similarity

##### 17Pythagorean Theorem

##### 18Introduction to 3-Dimensional Figures

##### 19Volume

##### 20Linear Equations (Basic)

- 20.1Model and solve one-step linear equations:
*ax = b*,*x/a = b* - 20.2Solving two-step linear equations using addition and subtraction:
*ax + b = c* - 20.3Solving two-step linear equations using multiplication and division:
*x/a + b = c* - 20.4Solving two-step linear equations using distributive property:
*a(x + b) = c*

- 20.1Model and solve one-step linear equations:
##### 21Solving Linear Equations

##### 22Linear Inequalities

##### 23Introduction to Relations and Functions

##### 24Linear Functions

- 24.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
- 24.2Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$
- 24.3Gradient equation: $m = \frac{y_2-y_1}{x_2- x_1}$
- 24.4Gradient intercept form: y = mx + b
- 24.5General form: Ax + By + C = 0
- 24.6Gradient-point form: $y - y_1 = m (x - x_1)$
- 24.7Rate of change
- 24.8Graphing linear functions using table of values
- 24.9Graphing linear functions using x- and y-intercepts
- 24.10Graphing from gradient-intercept form y=mx+b
- 24.11Graphing linear functions using a single point and gradient
- 24.12Word problems of graphing linear functions
- 24.13Parallel and perpendicular lines in linear functions
- 24.14Applications of linear relations

- 24.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
##### 25Multiplication and Division of Polynomials

- 25.1Common factors of polynomials
- 25.2Factorising polynomials by grouping
- 25.3Solving polynomials with the unknown "b" from
*x^2 + bx + c* - 25.4Solving polynomials with the unknown "c" from
*x^2 + bx + c* - 25.5Factorising polynomials:
*x^2 + bx + c* - 25.6Applications of polynomials:
*x^2 + bx + c* - 25.7Solving polynomials with the unknown "b" from $ax^2 + bx + c$
- 25.8Factorising polynomials: $ax^2 + bx + c$
- 25.9Factorising perfect square trinomials:
*(a + b)^2 = a^2 + 2ab + b^2*or*(a - b)^2 = a^2 - 2ab + b^2* - 25.10Find the difference of squares:
*(a - b)(a + b) = (a^2 - b^2)* - 25.11Evaluating polynomials
- 25.12Using algebra tiles to factorise polynomials
- 25.13Solving polynomial equations
- 25.14Word problems of polynomials

- 25.1Common factors of polynomials
##### 26Data and Graphs

##### 27Statistics

##### 28Probability