unit 2 homework 3 writing linear equations

Unit 2: Linear Functions

Answer keys, lf1: i can write a linear equation from a situation or pattern.

LF1 Writing Linear Equations

Independent and Dependent Variables

Linear Intro

Writing equations, extra resources.

LF1 Skill Sheets

LF2: I use a linear equation to answer a question about a situation.

LF2 Using Linear Equations

Using equations.

LF2 Skill Sheets

LF3: I can write a linear equation from a table.

LF3 Equations from Tables

LF3 Skill Sheets

LF4: I can solve for "b."

LF4 Solving for "b"

Solving for "b".

LF4 Skill Sheets

LF5: I can write a linear equation from a graph.

LF5 Equations from Graphs

Horizontal and Vertical Lines

Equation from graph.

LF5 Skill Sheets

LF6: I can write a linear equation from two points.

LF6 Slope Formula

LF6 Skill Sheets

LF7: I can graph a line written in slope-intercept form: y=mx+b.

LF7 Graphing Lines

Graphing lines.

LF7 Skill Sheets

LF8: I can write and graph a line written in point-slope form: (y - y1) = m(x - x2).

LF8 Point-Slope Form

Point-slope form.

LF8 Skill Sheets

LF9: I can graph a line written in Standard Form: Ax + By = C.

LF9 Standard Form

Standard form, word problems.

All three forms

Google Slides Graphing Practice

LF9 Skill Sheets

LF10: I can transform equations between all three forms.

LF10 Transforming Between Forms

Transforming forms.

LF10 Skill Sheets

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2.4: Graphing Linear Equations- Answers to the Homework Exercises

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Darlene Diaz
Santiago Canyon College via ASCCC Open Educational Resources Initiative

Graphing and Slope

$\frac{1}{3}$
$\frac{4}{3}$
$\frac{1}{2}$
$-\frac{1}{3}$
$\frac{16}{7}$
$-\frac{7}{17}$
$\frac{1}{16}$
$\frac{24}{11}$
$x=\frac{23}{6}$
$y=-\frac{29}{6}$

Equations of Lines

$y=-\frac{3}{4}x-1$
$y = −6x + 4$
$y = − \frac{1}{4} x + 3$
$y = \frac{1}{3} x + 3$
$y = −3x + 5$
$y = − \frac{1}{10} x − \frac{37}{10}$
$y = \frac{7x}{3} − 8$
$y = −4x + 3$
$y = \frac{1}{10} x − \frac{3}{10}$
$y = − \frac{4}{7} x + 4$
$y=\frac{5}{2}x$

$clipboard_e10819de0e56dfdb235af8b0adf45bce2.png$

$y − (−5) = 9(x − (−1))$
$y − (−2) = −3(x − 0)$
$y − (−3) = \frac{1}{5} (x − (−5))$
$y − 2 = 0(x − 1)$
$y − (−2) = −2(x − 2)$
$y − 1 = 4(x − (−1))$
$y − (−4) = − \frac{2}{3} (x − (−1))$
$y = − \frac{3}{5} x + 2$
$y = − \frac{3}{2} x + 4$
$y = x − 4$
$y = − \frac{1}{2} x$
$y = − \frac{2}{3} x − \frac{10}{3}$
$y = − \frac{5}{2} x − 5$
$y = −3$
$y − 3 = −2(x + 4)$
$y + 2 = \frac{3}{2} (x + 4)$
$y + 3 = − \frac{8}{7} (x − 3)$
$y − 5 = − \frac{1}{8} (x + 4)$
$y + 4 = −(x + 1)$
$y = − \frac{8}{7} x − \frac{5}{7}$
$y = −x + 2$
$y = − \frac{1}{10} x − \frac{3}{2}$
$y=\frac{1}{3}x+1$

Parallel and Perpendicular Lines

$m_{||} = 2$
$m_{||} = 1$
$m_{||} = − \frac{2}{3}$
$m_{||} = \frac{6}{5}$
$m_{⊥} = 0$
$m_{⊥} = −3$
$m_{⊥} = 2$
$m_{⊥} = − \frac{1}{3}$
$y − 4 = \frac{9}{2} (x − 3)$
$y − 3 = \frac{7}{5} (x − 2)$
$y + 5 = −(x − 1)$
$y − 2 = \frac{1}{5} (x − 5)$
$y − 2 = − \frac{1}{4} (x − 4)$
$y + 2 = −3(x − 2)$
$y = −2x + 5$
$y = − \frac{4}{3} x − 3$
$y = − \frac{1}{2} x − 3$
$y = − \frac{1}{2} x − 2$
$y = x − 1$
$y=-2x+5$

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Chapter 3: Graphing

3.4 Graphing Linear Equations

There are two common procedures that are used to draw the line represented by a linear equation. The first one is called the slope-intercept method and involves using the slope and intercept given in the equation.

If the equation is given in the form [latex]y = mx + b[/latex], then [latex]m[/latex] gives the rise over run value and the value [latex]b[/latex] gives the point where the line crosses the [latex]y[/latex]-axis, also known as the [latex]y[/latex]-intercept.

Example 3.4.1

Given the following equations, identify the slope and the [latex]y[/latex]-intercept.

[latex]\begin{array}{lll} y = 2x - 3\hspace{0.14in} & \text{Slope }(m)=2\hspace{0.1in}&y\text{-intercept } (b)=-3 \end{array}[/latex]
[latex]\begin{array}{lll} y = \dfrac{1}{2}x - 1\hspace{0.08in} & \text{Slope }(m)=\dfrac{1}{2}\hspace{0.1in}&y\text{-intercept } (b)=-1 \end{array}[/latex]
[latex]\begin{array}{lll} y = -3x + 4 & \text{Slope }(m)=-3 &y\text{-intercept } (b)=4 \end{array}[/latex]
[latex]\begin{array}{lll} y = \dfrac{2}{3}x\hspace{0.34in} & \text{Slope }(m)=\dfrac{2}{3}\hspace{0.1in} &y\text{-intercept } (b)=0 \end{array}[/latex]

When graphing a linear equation using the slope-intercept method, start by using the value given for the [latex]y[/latex]-intercept. After this point is marked, then identify other points using the slope.

This is shown in the following example.

Example 3.4.2

Graph the equation [latex]y = 2x - 3[/latex].

First, place a dot on the [latex]y[/latex]-intercept, [latex]y = -3[/latex], which is placed on the coordinate [latex](0, -3).[/latex]

Now, place the next dot using the slope of 2.

A slope of 2 means that the line rises 2 for every 1 across.

Simply, [latex]m = 2[/latex] is the same as [latex]m = \dfrac{2}{1}[/latex], where [latex]\Delta y = 2[/latex] and [latex]\Delta x = 1[/latex].

Placing these points on the graph becomes a simple counting exercise, which is done as follows:

For m = 2, go up 2 and forward 1 from each point.

Once several dots have been drawn, draw a line through them, like so:

Note that dots can also be drawn in the reverse of what has been drawn here.

Slope is 2 when rise over run is [latex]\dfrac{2}{1}[/latex] or [latex]\dfrac{-2}{-1}[/latex], which would be drawn as follows:

For m = 2, go down 2 and back 1 from each point.

Example 3.4.3

Graph the equation [latex]y = \dfrac{2}{3}x[/latex].

First, place a dot on the [latex]y[/latex]-intercept, [latex](0, 0)[/latex].

Now, place the dots according to the slope, [latex]\dfrac{2}{3}[/latex].

When m = 2 over 3, go up 2 and forward 3 to get the next point.

This will generate the following set of dots on the graph. All that remains is to draw a line through the dots.

Line with slope 2 over 3. Passes through (−3, −2), (0, 0), (3, 2), and (6, 4).

The second method of drawing lines represented by linear equations and functions is to identify the two intercepts of the linear equation. Specifically, find [latex]x[/latex] when [latex]y = 0[/latex] and find [latex]y[/latex] when [latex]x = 0[/latex].

Example 3.4.4

Graph the equation [latex]2x + y = 6[/latex].

To find the first coordinate, choose [latex]x = 0[/latex].

This yields:

[latex]\begin{array}{lllll} 2(0)&+&y&=&6 \\ &&y&=&6 \end{array}[/latex]

Coordinate is [latex](0, 6)[/latex].

Now choose [latex]y = 0[/latex].

[latex]\begin{array}{llrll} 2x&+&0&=&6 \\ &&2x&=&6 \\ &&x&=&\frac{6}{2} \text{ or } 3 \end{array}[/latex]

Coordinate is [latex](3, 0)[/latex].

Draw these coordinates on the graph and draw a line through them.

Example 3.4.5

Graph the equation [latex]x + 2y = 4[/latex].

[latex]\begin{array}{llrll} (0)&+&2y&=&4 \\ &&y&=&\frac{4}{2} \text{ or } 2 \end{array}[/latex]

Coordinate is [latex](0, 2)[/latex].

[latex]\begin{array}{llrll} x&+&2(0)&=&4 \\ &&x&=&4 \end{array}[/latex]

Coordinate is [latex](4, 0)[/latex].

Example 3.4.6

Graph the equation [latex]2x + y = 0[/latex].

[latex]\begin{array}{llrll} 2(0)&+&y&=&0 \\ &&y&=&0 \end{array}[/latex]

Coordinate is [latex](0, 0)[/latex].

Since the intercept is [latex](0, 0)[/latex], finding the other intercept yields the same coordinate. In this case, choose any value of convenience.

Choose [latex]x = 2[/latex].

[latex]\begin{array}{rlrlr} 2(2)&+&y&=&0 \\ 4&+&y&=&0 \\ -4&&&&-4 \\ \hline &&y&=&-4 \end{array}[/latex]

Coordinate is [latex](2, -4)[/latex].

For questions 1 to 10, sketch each linear equation using the slope-intercept method.

[latex]y = -\dfrac{1}{4}x - 3[/latex]
[latex]y = \dfrac{3}{2}x - 1[/latex]
[latex]y = -\dfrac{5}{4}x - 4[/latex]
[latex]y = -\dfrac{3}{5}x + 1[/latex]
[latex]y = -\dfrac{4}{3}x + 2[/latex]
[latex]y = \dfrac{5}{3}x + 4[/latex]
[latex]y = \dfrac{3}{2}x - 5[/latex]
[latex]y = -\dfrac{2}{3}x - 2[/latex]
[latex]y = -\dfrac{4}{5}x - 3[/latex]
[latex]y = \dfrac{1}{2}x[/latex]

For questions 11 to 20, sketch each linear equation using the [latex]x\text{-}[/latex] and [latex]y[/latex]-intercepts.

[latex]x + 4y = -4[/latex]
[latex]2x - y = 2[/latex]
[latex]2x + y = 4[/latex]
[latex]3x + 4y = 12[/latex]
[latex]4x + 3y = -12[/latex]
[latex]x + y = -5[/latex]
[latex]3x + 2y = 6[/latex]
[latex]x - y = -2[/latex]
[latex]4x - y = -4[/latex]

For questions 21 to 28, sketch each linear equation using any method.

[latex]y = -\dfrac{1}{2}x + 3[/latex]
[latex]y = 2x - 1[/latex]
[latex]y = -\dfrac{5}{4}x[/latex]
[latex]y = -3x + 2[/latex]
[latex]y = -\dfrac{3}{2}x + 1[/latex]
[latex]y = \dfrac{1}{3}x - 3[/latex]
[latex]y = \dfrac{3}{2}x + 2[/latex]
[latex]y = 2x - 2[/latex]

For questions 29 to 40, reduce and sketch each linear equation using any method.

[latex]y + 3 = -\dfrac{4}{5}x + 3[/latex]
[latex]y - 4 = \dfrac{1}{2}x[/latex]
[latex]x + 5y = -3 + 2y[/latex]
[latex]3x - y = 4 + x - 2y[/latex]
[latex]4x + 3y = 5 (x + y)[/latex]
[latex]3x + 4y = 12 - 2y[/latex]
[latex]2x - y = 2 - y \text{ (tricky)}[/latex]
[latex]7x + 3y = 2(2x + 2y) + 6[/latex]
[latex]x + y = -2x + 3[/latex]
[latex]3x + 4y = 3y + 6[/latex]
[latex]2(x + y) = -3(x + y) + 5[/latex]
[latex]9x - y = 4x + 5[/latex]

Answer Key 3.4

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Unit 2 Linear Equations Homework 3 Writing Linear Equations

Unit 2 Linear Equations Homework 3 Writing Linear Equations - Displaying top 8 worksheets found for this concept.

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1. Unit 4 Linear Equations Homework 12 Gina Wilson

2. gina wilson 2012 homework 4 linear equations word problems, 3. unit 2: linear equations and inequalities, 4. algebra 1 spencer unit 4 notes: inequalities and ..., 5. solving linear equations, 6. georgia standards of excellence curriculum frameworks ..., 7. grade 9 working with linear equations -, 8. national 5 homework with worked solutions:pupil version.

List of Lessons
1.0 Marking the Text in Mathematics
1.1 Order of Operations
1.2 Translating Verbal Phrases
1.3 Functions as Rules and Tables
1.4 Functions as Graphs
Unit 1 Review
Unit 1 Skillz Review Help
2.1 Real Numbers
2.2 Add and Subtract Real Numbers
2.3 Multiply and Divide Real Numbers
2.4 Combine Like Terms and Distributive Property
Unit 2 Review
Unit 2 Skillz Review
3.1 One Step Equations
3.2 Two Step Equations
3.3 MultiStep Equations
3.4 Variables on Both Sides of the Equation
Unit 3 Review
4.1 Ratios and Proportions
4.2 Solving Proportions using Cross Products
4.3 Solving Percent Problems
4.4 Solving for Y
Unit 4 Shortcuts
Unit 4 Review
5.1 Plot Points in a Coordinate Plane
5.2 Graphing Linear Equations and Using Intercepts
5.3 Slope and Rate of Change
5.4 Graph in Slope-Intercept Form
5.5 Graph Linear Functions
Unit 5 Review
6.1 Write Equations in Slope Intercept Form
6.2 Use Equations in Slope Intercept Form
6.3 Equations in Parallel/Perpendicular Form
6.4 Fit Line To Data
Unit 6 Review
Unit 6 Skillz Review Help
SEMESTER EXAM REVIEW
7.1 Inequalities
7.2 Solving Inequalities
7.3 Multi-step Inequalities
7.4 Absolute Value Equations
7.5 Linear Inequalities in Two Variables
Unit 7 Skillz Review Help
8.1 Solving Systems by Graphing
8.2 Solving Systems using Substitution
8.3 Solving Systems using Elimination
8.4 Solving Special Case Systems
8.5 Solving Systems of Linear Inequalities
Unit 8 Review
9.1 Expand and Condense Exponents
9.2 Exponent Rules
9.3 Zero and Negative Exponents
9.4 Scientific Notation
Unit 9 Review
10.1 Add and Subtract Polynomials
10.2 Multiply Polynomials
10.3 Polynomial Equations in Factored Form
10.4 Factoring Trinomials
10.5 Solving Quadratics by Factoring
10.6 Double Factoring
Unit 10 Review
Unit 10 Skillz Review Help
11.1 Simplifying Radicals
11.2 Operations with Square Roots
Unit 11 Review
12.1 Graphing Quadratics
12.2 Solve Quadratics by Graphing
12.3 Solve Quadratics Using Square Roots
12.4 Solve Quadratics Using the Quadratic Formula
Unit 12 Review
Unit 12 Skillz Review
SEMESTER 2 EXAM REVIEW
Teacher Resources
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Unit 4: Linear equations and linear systems

Lesson 3: balanced moves.

Intro to equations with variables on both sides (Opens a modal)
Equations with variables on both sides: 20-7x=6x-6 (Opens a modal)
Equations with variables on both sides Get 3 of 4 questions to level up!

Lesson 4: More balanced moves

Equations with parentheses (Opens a modal)
Equations with parentheses Get 3 of 4 questions to level up!

Lesson 5: Solving any linear equation

Multi-step equations review (Opens a modal)

Lesson 6: Strategic solving

No videos or articles available in this lesson
Equations with variables on both sides: decimals & fractions Get 3 of 4 questions to level up!
Equations with parentheses: decimals & fractions Get 3 of 4 questions to level up!

Extra practice: Linear equations

Sums of consecutive integers (Opens a modal)
Sum of integers challenge (Opens a modal)
Equation practice with vertical angles (Opens a modal)
Equation practice with complementary angles (Opens a modal)
Equation practice with supplementary angles (Opens a modal)
Sums of consecutive integers Get 3 of 4 questions to level up!
Equation practice with vertical angles Get 3 of 4 questions to level up!
Equation practice with angle addition Get 3 of 4 questions to level up!

Lesson 7: All, some, or no solutions

Creating an equation with no solutions (Opens a modal)
Creating an equation with infinitely many solutions (Opens a modal)
Number of solutions to equations challenge Get 3 of 4 questions to level up!

Lesson 8: How many solutions?

Number of solutions to equations (Opens a modal)
Worked example: number of solutions to equations (Opens a modal)
Number of solutions to equations Get 3 of 4 questions to level up!

Lesson 9: When are they the same?

Age word problem: Imran (Opens a modal)
Age word problem: Ben & William (Opens a modal)
Age word problem: Arman & Diya (Opens a modal)
Age word problems Get 3 of 4 questions to level up!

Lesson 10: On or off the line?

Solutions of systems of equations Get 3 of 4 questions to level up!

Lesson 12: Systems of equations

Systems of equations: trolls, tolls (1 of 2) (Opens a modal)
Systems of equations: trolls, tolls (2 of 2) (Opens a modal)
Systems of equations with graphing (Opens a modal)
Systems of equations with graphing: y=7/5x-5 & y=3/5x-1 (Opens a modal)
Systems of equations with graphing Get 3 of 4 questions to level up!
Number of solutions to a system of equations graphically Get 3 of 4 questions to level up!

Lesson 13: Solving systems of equations

Systems of equations with substitution: y=-1/4x+100 & y=-1/4x+120 (Opens a modal)
Number of solutions to a system of equations graphically (Opens a modal)
Number of solutions to system of equations review (Opens a modal)
Number of solutions to a system of equations algebraically Get 3 of 4 questions to level up!

Lesson 14: Solving more systems

Systems of equations with substitution: 2y=x+7 & x=y-4 (Opens a modal)
Systems of equations with substitution (Opens a modal)
Systems of equations with substitution: y=4x-17.5 & y+2x=6.5 (Opens a modal)
Systems of equations with substitution: y=-5x+8 & 10x+2y=-2 (Opens a modal)
Substitution method review (systems of equations) (Opens a modal)
Systems of equations with substitution Get 3 of 4 questions to level up!

Lesson 16: Solving problems with systems of equations

System of equations word problem: no solution (Opens a modal)
Systems of equations with substitution: coins (Opens a modal)
Systems of equations word problems Get 3 of 4 questions to level up!

IMAGES

Solved Unit 2: Linear Functions Date: Bell: Homework 3:
Graphing Linear Equations Worksheet Pdf
Writing Linear Equations Given Two Points Lesson Plan for 9th
Writing Linear Equations
Linear Equations With Answer Sheet
8 Writing Linear Functions Worksheets / worksheeto.com

VIDEO

Worksheet 5 4 Systems of linear Equations Math2
Writing Linear Equations Given the Slope and y-intercept
Algebra 7 12/13/23 PO24...Writing Linear Equations Day 2
Writing Linear Equations from Tables
Cloud computing Concept Part 2 |Homework 3 Answers| Coursera|
College Algebra Lesson #15 _ System of Linear Equations in Two Variables _ Graphical Solution

COMMENTS

Solved Unit 2: Linear Functions Date: Bell: Homework 3:
Question: Unit 2: Linear Functions Date: Bell: Homework 3: Writing Linear Equations, Applications, & Linear Regression **This is a 2-page documenti ** Point Slope & Two Points: Write a linear equation in slope-intercept form with the given Information 1. slope = -6; passes through (-4,1) 2. slope = passes through (-5, -6) 3. passes through (-4 ...
Unit 2: Linear Functions Date: Bell: Homework 3: Writing Linear
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Writing Equations from a Graph Example 1: Given the graph, write the equation for the line in slope intercept form. Step 1: Determine the y-intercept Step 2: Find the slope Step 3: Write the equation in slope intercept form. Example 2: Given the graph, write the equation for the line in slope intercept form. Step 1: Determine the y-intercept
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Unit 2: Linear Functions. Answer Keys. LF1: I can write a linear equation from a situation or pattern. LF1 Writing Linear Equations. p. 1 . Independent and Dependent Variables. ... LF6: I can write a linear equation from two points. LF6 Slope Formula. p. 15-16. Extra Resources. LF6 Skill Sheets. LF7: I can graph a line written in slope ...
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The domain is comprised of all real numbers because any number may be doubled, and then have one added to the product. Definition: Linear Function. A linear function is a function whose graph is a line. Linear functions can be written in the slope-intercept form of a line. f(x) = mx + b (3.2.2) (3.2.2) f ( x) = m x + b.
Solved Unit 2, Homework 3
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y = 2 y = 2. y = −x + 3 y = − x + 3. y = −2x + 5 y = − 2 x + 5. This page titled 2.4: Graphing Linear Equations- Answers to the Homework Exercises is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Darlene Diaz ( ASCCC Open Educational Resources Initiative) via source content that was edited to the ...
Unit 2
Unit 2 - Linear Expressions, Equations, and Inequalities. This unit is all about linear topics, which is a major focus of Common Core Algebra I. We develop general methods for solving linear equations using properties of equality and inverse operations. Thorough review is given to review of equation solving from Common Core 8th Grade Math.
Unit 3 graphing and writing linear equations Flashcards
a relationship that graphs as a straight line. point slope form. y-y₁=m (x-x₁) rise. rose, risen. slope-intercept form. y=mx+b, where m is the slope and b is the y-intercept of the line. standard form. Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative.
3.4 Graphing Linear Equations
Slope is 2 when rise over run is 2 1 2 1 or −2 −1 − 2 − 1, which would be drawn as follows: Example 3.4.3. Graph the equation y = 2 3x y = 2 3 x. First, place a dot on the y y -intercept, (0,0) ( 0, 0). Now, place the dots according to the slope, 2 3 2 3. This will generate the following set of dots on the graph.
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a (b + c) = ab + ac or a (b - c) = ab - ac. equation. a mathematical sentence whose verb is 'equal' (=) identity. an equation that is true for all values of the variable. interest. a payment for the use of money borrowed or invested. like terms. terms that have the same variable (s), with each variable raised to the same exponent.
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EXAMPLE 5: WRITING AND GRAPHING LINEAR EQUATIONS GIVEN A Y-INTERCEPT AND A SLOPE Write an equation of a line with the given slope and y-intercept. Then graph the equation. a) slope of 1/5 and y-intercept is (0, -3) b) slope of -2 and y-intercept is (0, 7) y= 1 5 x−3 y=−2x+7 EXAMPLE 6: GRAPHING LINEAR EQUATIONS
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Unit 2 Linear Equations Homework 3 Writing Linear Equations
Unit 2 Linear Equations Homework 3 Writing Linear Equations - Displaying top 8 worksheets found for this concept.. Some of the worksheets for this concept are Unit 4 linear equations homework 12 gina wilson, Gina wilson 2012 homework 4 linear equations word problems, Unit 2 linear equations and inequalities, Algebra 1 spencer unit 4 notes inequalities and, Solving linear equations, Georgia ...
Unit 3 tutorials representing linear equations and solving ...
Be careful with equations such as (y + 3) = 2(x - 4) Because our general form has minus signs with our x's and y's, if we see a plus sign in a specific equation, that coordinate is a negative value.
PDF Unit 4a
Unit 4: Linear Equations Homework 8: Writing Linear Equations REVIEW Direcüons: Write the linear equation in slope-intercept form given the following: 1. slope = Z; ... Unit 4: Linear Equations Homework 10: Parallel & Perpendicular Lines (Day 2) Write an equation passing through the point and PARALLEL to the given line. + 6 5.1 =
Unit 5 Linear Functions
Unit 5 - Linear Functions. 5.1 Plot Points in the Coordinate Plane. 5.2 Graph Linear Equations using Intercepts. 5.3 Rate of Change (Slope) 5.4 Graph Linear in Slope Intercept Form. 5.5 Graph Linear Functions.
Unit 3
Piecewise Linear Functions. LESSON/HOMEWORK. LESSON VIDEO. ANSWER KEY. EDITABLE LESSON. EDITABLE KEY. Lesson 7. Systems of Linear Equations (Primarily 3 by 3) LESSON/HOMEWORK.
Unit 3: Linear relationships
8th grade (Illustrative Mathematics) 8 units · 114 skills. Unit 1 Rigid transformations and congruence. Unit 2 Dilations, similarity, and introducing slope. Unit 3 Linear relationships. Unit 4 Linear equations and linear systems. Unit 5 Functions and volume. Unit 6 Associations in data. Unit 7 Exponents and scientific notation.
Linear equations and linear systems
8th grade (Illustrative Mathematics) 8 units · 114 skills. Unit 1 Rigid transformations and congruence. Unit 2 Dilations, similarity, and introducing slope. Unit 3 Linear relationships. Unit 4 Linear equations and linear systems. Unit 5 Functions and volume. Unit 6 Associations in data. Unit 7 Exponents and scientific notation.