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Table of values for a linear equation

8.EE.A.1

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Using exponents to describe numbers

Expanded powers

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

math

Ex. 1:

Ex. 3:

Ex. 2:

<p>- Hi, welcome to this question right here. So we're going to draw a graph using the table of values that's presented to us right beside right here. So remember the X is usually the first one you'll look because X is the input and it's usually found on the x-axis okay? Which that's why it's called the X values, right?<br />
So I'm going to label these guys the X, and label these guys the Y. Now, I have the X values from four to eight. So looking at the graph right here, if I just call this number here zero, then this number here will be one, and this is two, three, then this obviously will be four, five, six, seven, eight. Let's put a nine right there just to make it look nicer. Now, on the y-axis, I got 21 to 49. Now because there's a little bit more numbers. So what I would suggest is that maybe you just want to keep them-- like going from zero to 50. Okay, zero to 50 will cover everything here, right? Zero to 50 because the highest number is 49, but we&apos;ve got one, two, three, four, five, six, seven, eight, nine, ten. We&apos;ve got 10 boxes. So what we can do is, we can actually cut every two unit is a 10. Okay, because that will give us enough data points. Plus we're going to use all the graph. So there you go, that's all the y-axis over there. So basically each unit or each box is a five. So let's go ahead and actually label it, we say, draw the graph. Show the relationship, so here we go. When X is equals to four which is over here, the Y value is 21. So we just go to where the four is and 21 approximately will be somewhere right there. Okay? And here we have five and 28, we go five and 28 somewhere over here. Six and 35, we&apos;ve got six and all the way to 35. Put a dot right down there. We&apos;ve got also seven and 42. Seven and 42 and the last one, it's the eight and 49. We&apos;ve got eight and 49 right there. So for this part of the question, we're just labeling the dot and it looks like a straight line. Okay, but in order to be certain that it is a straight line, you might need to calculate something, okay?<br />
For now, the relationship is simple. For every X you have, the Y seems to get bigger and bigger as they go. The greater the X, also the greater the Y. We don't know what they are representing but for sure, it looks like a linear relationship between the two values, okay? Thanks for watching.</p>


Linear equations represent direct proportional relationships between x and y. A table of values contains the exact values of x and y. In this section, we will learn how to draw graphs based on the data from tables of values. From the tables and graphs, we will try to describe and determine whether the relationships are linear or not.