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Linear Equations: Functions or Not? Uncover the Truth

Grade 10 Math: Master Essential Skills & Concepts

FP10.1

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Prime factorization

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Greatest common factors (GCF)

Greatest Common Factor 2 Numbers

Greatest Common Factor 2 Numbers – Word Problem

Least common multiple (LCM)

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Square and square roots

Square Root of a Perfect Square

Cubic and cube roots

Cube root of a perfect cube

FP10.10

Determining number of solutions to linear equations

Solving systems of linear equations by graphing

Solving systems of linear equations by elimination

Solving systems of linear equations by substitution

FP10.2

Evaluating and simplifying radicals

Product rule of exponents

Rational vs. Irrational numbers

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Simplify the power

Negative exponent rule

Combining the exponent rules

Convert between radicals and rational exponents

Converting radicals to mixed radicals

Converting radicals to entire radicals

FP10.3

Conversions between metric and imperial systems

Metric to Imperial Conversions

Imperial to Metric Conversions

Conversions Between Metric and Imperial Systems Speed KM to MI

Conversions Between Metric and Imperial Systems Speed  MI to M

Metric-Imperial Length Conversion Inch To Cm

Metric-Imperial Length Conversion MM/CM/M/KM To FT

Metric-Imperial Length Conversion MM/CM/M/KM To MI

Metric systems

Add and Subtract Mixed Units

Metric Length Conversion

Add or Subtract Different Metric Units Convert to CM

Add or Subtract Different Metric Units Convert to M

Add or Subtract Different Metric Units Convert to MM

Imperial systems

Imperial Length Conversion

Conversions involving squares and cubic

Imperial to Metric Conversions — Squares and Cubes

Imperial Conversion — Squares and Cubes

Metric to Imperial Conversion — Squares and Cubes

Metric Area Conversion FT to CM

Metric Area Conversion Foot to Inch

Metric Area Conversion M/CM to Inch

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

FP10.4

Use sine ratio to calculate angles and sides (Sin = o / h)

Use cosine ratio to calculate angles and sides (Cos = a / h)

Combination of SohCahToa questions

Word problems relating ladder in trigonometry

Word problems relating guy wire in trigonometry

Use tangent ratio to calculate angles and sides (Tan = o / a)

FP10.5

Solving polynomials with the unknown "b" from ax^2 + bx + c

Factoring polynomials: ax^2 + bx + c

Factoring Polynomials: ax^2 + bx + c

Factoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2

Factoring perfect square trinomials

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

Find the difference of squares

Multiplying monomial by monomial

Multiply a Monomial by a Monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

Applications of polynomials

Common factors of polynomials

Factoring polynomials by grouping

Solving polynomials with unknown coefficients

Solving polynomials with unknown constant terms

Factoring polynomials: x^2 + bx + c

Applications of polynomials: x^2 + bx + c

FP10.6

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Graphing from slope-intercept form y=mx+b

Graphing linear functions using a single point and slope

Word problems of graphing linear functions

Function notation

FP10.7

Slope equation: \(m = \frac{y_2-y_1}{x_2- x_1}\)

Slope equation: <katex>m = \frac{y_2-y_1}{x_2- x_1}</katex>

Slope intercept form:  y = mx + b

Slope intercept form: y = mx + b

General form:  Ax  + By  + C = 0

General form: Ax + By + C = 0

Point-slope form: y - y_1 = m(x - x_1)

Rate of change

FP10.8

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

Introduction to linear equations

Introduction to nonlinear equations

Special case of linear equations: Horizontal lines

Special case of linear equations: Vertical lines

Parallel line equation

Perpendicular line equation

Combination of both parallel and perpendicular line equations

FP10.9

Money related questions in linear equations

Unknown number related questions in linear equations

Distance and time related questions in linear equations

Rectangular shape related questions in linear equations

Applications of linear equations

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Foundations of Mathematics and Pre-calculus 10

Number Sense

math

<h2>What is in grade 10 math?</h2>
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<p>Throughout each lesson, don&apos;t forget to visit our bank of questions to help you sharpen your grade 10 math skills &ndash; challenge yourself each lesson to completing all the questions related to that chapter before moving on as this is the true test to seeing how prepared you are for grade 10 math!</p>

https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-grade10math.png

Intro

Ex. 1

Ex. 2

<p>- Hi, welcome to this question right here. So we're told to graph this equation. Now the key idea is this. You have to recognize that this is just your y equals to mx plus b, right. So to graph this, remember, you have to start from the y intercept first and then do the slope. So pretend that the starting position right here, roughly, and we're going to start from the y intercept which is the positive two here. So on your graph you go where the two is and on the y intercept you put a point there for y equals to two. And that is your y intercept and that is your b. The next thing you do is you're going to do the slope. Now remember, the slope is actually just a rise over run. So you can look at the negative three over four. So the negative sign can be assigned to the top or the bottom. Now I personally prefer to put it on the top because it's just easier for me. So negative three over four or three over negative four. They are actually the same thing. So what I'm going to do is I'm going to start from the two. You have to start from the y intercept and you're going to go down four, sorry, down three and over four. So I go down three. That's one, two, three and then one, two, three, four and here is my next point. Now once you have two points, this is actually good enough. You just grab your ruler and you just connect the lines together. I'm going to go down this way, put an arrow down there and come back up this way and put an arrow right there. And that is your function, okay, of this line equation. Thanks for watching!</p>

This is a lesson that teaches how to determine if an expression is a linear equation; and how to graph a linear equation.