# Grade 10 Math Help & Practice!

Get better math marks with our complete Grade 10 math help – be it Ontario math curriculum, math curricula of B.C., Alberta, Manitoba, Saskatchewan, Newfoundland, or other provinces. We've got you all covered!

Just like your class or textbook, our complete help for grade 10 math includes topics such as Trigonometry, Quadratic Equations, Radicals, Factoring polynomials, Linear equations, Linear systems, and more. Learn the concepts with our video tutorials that show you step-by-step solutions to even the hardest grade 10 math problems. Then, strengthen your understanding with tons of grade 10 math practice.

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##### 1Measuring Systems

##### 2Surface Area and Volume

##### 3Number System and Radicals

##### 4Radicals

##### 5Exponents

##### 6Operations of Polynomials

##### 7Factoring Polynomial Expressions

- 7.1Common factors of polynomials
- 7.2Factoring polynomials by grouping
- 7.3Solving polynomials with unknown coefficients
- 7.4Solving polynomials with unknown constant terms
- 7.5Factoring polynomials:
*x^2 + bx + c* - 7.6Applications of polynomials:
*x^2 + bx + c* - 7.7Solving polynomials with the unknown "b" from $ax^2 + bx + c$
- 7.8Factoring polynomials: $ax^2 + bx + c$
- 7.9Factoring perfect square trinomials:
*(a + b)^2 = a^2 + 2ab + b^2*or*(a - b)^2 = a^2 - 2ab + b^2* - 7.10Find the difference of squares:
*(a - b)(a + b) = (a^2 - b^2)* - 7.11Evaluating polynomials
- 7.12Using algebra tiles to factorise polynomials
- 7.13Solving polynomial equations
- 7.14Word problems of polynomials

- 7.1Common factors of polynomials
##### 8Introduction to Relations and Functions

##### 9Linear Functions

- 9.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
- 9.2Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$
- 9.3Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$
- 9.4Slope intercept form: y = mx + b
- 9.5General form: Ax + By + C = 0
- 9.6Point-slope form: $y - y_1 = m (x - x_1)$
- 9.7Rate of change
- 9.8Graphing linear functions using table of values
- 9.9Graphing linear functions using x- and y-intercepts
- 9.10Graphing from slope-intercept form y=mx+b
- 9.11Graphing linear functions using a single point and slope
- 9.12Word problems of graphing linear functions
- 9.13Parallel and perpendicular lines in linear functions
- 9.14Applications of linear relations

- 9.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
##### 10Linear Equations

- 10.1Introduction to linear equations
- 10.2Introduction to nonlinear equations
- 10.3Special case of linear equations: Horizontal lines
- 10.4Special case of linear equations: Vertical lines
- 10.5Parallel line equation
- 10.6Perpendicular line equation
- 10.7Combination of both parallel and perpendicular line equations
- 10.8Applications of linear equations

- 10.1Introduction to linear equations
##### 11Solving Linear Systems

- 11.1Determining number of solutions to linear equations
- 11.2Solving systems of linear equations by graphing
- 11.3Using elimination method to solve systems of equations
- 11.4Using substitution method to solve systems of equations
- 11.5Money related questions in linear equations
- 11.6Unknown number related questions in linear equations
- 11.7Distance and time related questions in linear equations
- 11.8Rectangular shape related questions in linear equations

- 11.1Determining number of solutions to linear equations
##### 12Trigonometry

- 12.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
- 12.2Use cosine ratio to calculate angles and sides (Cos = $\frac{a}{h}$ )
- 12.3Use tangent ratio to calculate angles and sides (Tan = $\frac{o}{a}$ )
- 12.4Combination of SohCahToa questions
- 12.5Solving expressions using 45-45-90 special right triangles
- 12.6Solving expressions using 30-60-90 special right triangles
- 12.7Word problems relating ladder in trigonometry
- 12.8Word problems relating guy wire in trigonometry
- 12.9Other word problems relating angles in trigonometry

- 12.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
##### 13Factoring Quadratic Equations

##### 14Quadratic Functions

- 14.1Characteristics of quadratic functions
- 14.2Transformations of quadratic functions
- 14.3Quadratic function in general form: y = $ax^2 + bx+c$
- 14.4Quadratic function in vertex form:
*y = a(x-p)^2 + q* - 14.5Completing the square
- 14.6Converting from general to vertex form by completing the square
- 14.7Shortcut: Vertex formula
- 14.8Graphing parabolas for given quadratic functions
- 14.9Finding the quadratic functions for given parabolas
- 14.10Applications of quadratic functions

- 14.1Characteristics of quadratic functions
##### 15Solving Quadratic Equations

##### 16Transformations of Functions

- 16.1Transformations of functions: Horizontal translations
- 16.2Transformations of functions: Vertical translations
- 16.3Reflection across the y-axis:
*y = f(-x)* - 16.4Reflection across the x-axis:
*y = -f(x)* - 16.5Transformations of functions: Horizontal stretches
- 16.6Transformations of functions: Vertical stretches
- 16.7Combining transformations of functions

- 16.1Transformations of functions: Horizontal translations
##### 17Set Theory