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Master One-Step Linear Equations: Solve ax = b and x/a = b

8.EE.A.1

Using exponents to describe numbers

Expanded powers

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Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Product rule of exponents

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Simplify the power

8.EE.A.2

Squares and square roots

Square Root of a Perfect Square

Square and square roots

Cubic and cube roots

Cube root of a perfect cube

Converting radicals to mixed radicals

Converting radicals to entire radicals

8.EE.A.3

Scientific notation

8.EE.B.5

Parallel and perpendicular lines in linear functions

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Applications of linear relationships

Identifying proportional relationships

8.EE.B.6

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

8.EE.C.7

Introduction to linear equations

Model and solve one-step linear equations: ax = b, x/a = b

One-step Linear Equations

One Step Linear Equations — Word Problem

One-step equations

One-step Equations LHS

One-step Equations RHS

Model And Solve One Step Linear Equations Divide – Word Problem

Model And Solve One Step Linear Equations Multiply – Word Problem

Solving two-step linear equations using addition and subtraction: ax + b = c

Two-step Linear Equations

Two-step Linear Equations LHS

Solve Linear Equations Using Addition and Subtraction – Word Problem

Two-step Linear Equations — Word Problem

Solving two-step linear equations using multiplication and division: x/a + b = c

Two-step Linear Equations RHS

Solving two-step linear equations using distributive property: a(x + b) = c

Solve Linear Equations Using Distributive Property – Word Problem

Solving literal equations

8.EE.C.8

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

8.F.A.1

Relationship between two variables

Identifying functions

8.F.A.2

Function notation

8.F.B.4

Applications of linear relations

8.F.B.5

Graphing linear functions using table of values

8.G.A.1

Line symmetry

Tessellations using translations and reflections

tessellations using translations and reflections

8.G.A.2

Rotational symmetry and transformations

8.G.A.3

Enlargements and reductions with scale factors

Tessellations using rotations

8.G.A.4

Similar polygons

8.G.A.5

Similar triangles

8.G.B.6

Pythagorean theorem

Pythagorean Theorem

8.G.B.7

Using the pythagorean relationship

8.G.B.8

Distance formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Distance formula: <katex>d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}</katex>

Distance formula

Applications of pythagorean theorem

8.G.C.9

Volume of cylinders

Word problems relating volume of prisms and cylinders

Surface area and volume of cones

Surface area and volume of spheres

8.NS.A.1

Understanding the number systems

Rational vs. Irrational numbers

8.NS.A.2

Determine square roots of rational numbers

Square roots of rational numbers

Estimating square roots

Converting repeating decimals to fractions

8.SP.A.1

Reading linear relation graphs

Box-and-whisker plots and scatter plots

8.SP.A.2

Solving linear equations by graphing

8th Grade Math

sample

math

Intro

Ex 4.

Word problem: Splitting a restaurant bill using x/a = b

Ex. 1:

Ex. 2:

Ex. 3:

Word problem: Finding typing time using a one-step equation

<p>- Hi, welcome to the question right here. So we have a diagram right here. And we're gonna come up with an equation. Okay? So as you can see on this left-hand side, you got this X over four. Right? So basically what we have here is this. We&apos;ve got X over four. And it's simply equivalent to, I see a negative one and there's five of them. So take a look. We&apos;ve got negative five in total. Okay? So that's pretty much what the equation represents. So if you're gonna solve this. You just have to multiply the four to both sides. Okay? So you go times four to both sides. Even times by four. Let me use a different color pen for you. Right here. Right here. Oh, that's not functioning, I think. But if you times by four to each side. Guess what happens? You got X equals to, four times five gives you negative 20. And that's it's. So the answer for this one, it's X equals negative 20. But if you just want an equation. It's actually this one here still. Okay? You had to solve the X, basically. Okay. Thanks for watching.</p>

Modeling x/4 = -5 with algebra tiles and solving algebraically

Solving 3x = -8 using algebra tiles and algebraic division

Solving x/2 = 6 using algebra tiles and algebraic methods

Solving -4x = -9 using algebra tiles and division

Solving -4x = 56 by dividing both sides by -4

Solving 3x = -24 by dividing both sides by 3

Solving x/5 = -75 by multiplying both sides by 5

Solving x/a = b when the variable is on the right side

Intro to the reflexive property of equations

Understanding the transitive property of equality

Understanding the substitution property of equality

Understanding the symmetric property of equality

Understanding inverse operations to solve multiplication and division equations

Linear equations which can be solved with a single operation are called one-step linear equations. In this section, we will try to solve one-step linear equations represented in diagrams and in equation form.