Warm Up Solve for y: 1) 2). HW Check 4.7 CORE Time Complete the Puggly Wuggly Worksheet.

Slides:

Advertisements

Similar presentations

Unit 1 Solving Linear Systems by Graphing

Advertisements

Agenda Lesson 4-6 – Inverse Variation - Day 1 Standards 15.0 Use algebraic techniques Standards 16.0 Give pertinent information about given functions Warm.

Direct Variation 5-2.

y=3x Find y if x=3 2. Find y if x= -2

Warm Up – January 12 from Friday’s Quiz   You must be older than 10 to take this quiz.   Sally said that the inequality statement should be p>10, but.

3.4 – Slope & Direct Variation. Direct Variation:

Warm up 1. State the center and radius. 2. Write the following in standard form. Center (-9, 2) r = 8.

Identify, write, and graph an equation of direct variation.

Write and graph a direct variation equation

Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.

5.2 Direct Variation Direct Variation: the relationship that can be represented by a function if the form: Constant of variation: the constant variable.

Warm Up Lesson Presentation Lesson Quiz.

3.5 – Solving Systems of Equations in Three Variables.

Warm-Up 2 1.Solve for y: 2x + y = 6 2.Solve for y: 2x + 3y = 0.

6-1B Solving Linear Systems by Graphing Warm-up (IN) Learning Objective: to solve a system of 2 linear equations graphically Given the equations: 1.Which.

Pre-Algebra 11-5 Direct Variation 11-5 Direct Variation Pre-Algebra Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

5-4 Direct Variation Warm Up 1. Regina walked 9 miles in 3 hours. How many miles did she walk per hour? 2. To make 3 bowls of trail mix, Sandra needs 15.

Warm Up Evaluate each expression for x = 1 and y =–3. 1. x – 4y 2. –2x + y Write each expression in slope-intercept form, then then graph. 3. y – x = 1.

I can write and graph an equation of a direct variation by identifying the constant of variation.

Bell Ringer Learning Target : I can solve an equation for the constant of variation.

Variation and Proportion Direct Proportion. The formula for direct variation can be written as y=kx where k is called the constant of variation.   The.

Slopes and Direct Variation December 9, Review Slope Slope – Rise Run (-1, -4) and (2, 2)

11-5 Direct Variation Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

§2.5 Model Direct Variation CA Standard 2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with.

U SING D IRECT AND I NVERSE V ARIATION D IRECT V ARIATION The variables x and y vary directly if, for a constant k, k  0. y = kx, Objective Lesson 11.3.

I can write and graph an equation of a direct variation.

Section 4.5 Direct Variation. What happens to Y as X goes up by 1?

Direct Variation 3.6. Direct Variation  Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0.  k is.

Solving Systems by Substitution

Warm Up 1) Find the slope of a line that goes through the points (-3, 5) and (11, -2) 2) Write the equation of a horizontal line that goes through the.

3.1 Solving Systems By Graphing Or Substitution. * A system of equations is a collection of equations in the same variable. *A solution to a system is.

Writing a direct variation equation. write a direct variation problem when y = 20 and x = 10 y = kx 20 = k·10 k = 2 y = 2x.

NOTES 2.3 & 9.1 Direct and Inverse Variation. Direct Variation A function in the form y = kx, where k is not 0 Constant of variation (k) is the coefficient.

Direct Variation 88 Warm Up Use the point-slope form of each equation to identify a point the line passes through and the slope of the line. 1. y – 3 =

Direct Variation A Type of linear function. Save for Monday 1.Find the rate of change, interpret in context! a)b) 2.

Solving Systems by Substitution (isolated) Solving Systems by Substitution (not isolated)

Write linear equations that represent direct variation

Direct Variation.

Direct Variation 4-5 Warm Up Lesson Presentation Lesson Quiz

Math CC7/8 – April 24 Math Notebook: Things Needed Today (TNT):

Warm Up Solve each proportion. = = 1. b = y = 8 = = m = 52

5-2 Direct Variation What is Direct Variation?

Warm-Up Solve the system by substitution..

Solve a system of linear equation in two variables

5-2 Direct Variation.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm-up: Find the equation of the parabola y = ax2 + bx + c that passes through the given points: (-1, 4), (1, -6), (2, -5) CW: 7.1 – 7.3 Systems Quiz.

Lesson 7-4 part 3 Solving Systems by Elimination

Systems of Linear Equations

Warm Up – August 14, 2017 Solve for y. 3 + y = 2x 6x = 3y

Direct Variation 4-5 Warm Up Lesson Presentation Lesson Quiz

Direct Variation Objectives: To write and interpret direct variation equations. Essential Understanding: One basic type of linear equation is called direct.

Objective Identify, write, and graph direct variation.

Objectives Identify solutions of linear equations in two variables.

7.1 solving linear systems by graphing

Warm-Up Solve the system by graphing..

Warm Up 2) Solve by factoring a) x2 + 10x + 9 b) 4x2 – 15x - 25

Warm Up Check to see if the point is a solution for the

5.3 – direct variation Textbook pg. 301 Objective:

Warm Up Find the following: Vertex A.O.S. Y-intercept X-intercept.

Warm-up: Solve the system by any method:

L3-3 Objective: Students will graph systems of linear inequalities

Model Direct Variation

Warm-up 1. 5x – 4 = 2x (x + 2) + 3x = 2 Solve for the variable 1. 5x – 4 = 2x (x + 2) + 3x = 2.

Warm-up 1. 5x – 4 = 2x (x + 2) + 3x = 2 Solve for the variable 1. 5x – 4 = 2x (x + 2) + 3x = 2.

Warm- Up: Solve by Substitution

Solve by Substitution 2x + y = 7 3x + 3y = - 3.

Solving Linear Systems by Graphing

Presentation transcript:

Warm Up Solve for y: 1) 2)

HW Check 4.7

CORE Time Complete the Puggly Wuggly Worksheet

Direct Variation A type of Linear Function

Direct Variation A function in the form y = kx, where k is the constant of variation. The variables y and x, “vary directly”! If the equation looks like y = kx, then it is DIRECT VARIATION!

Constant of Variation, k The constant of variation can be found by dividing y by x.

Is it DV? Is the equation Direct Variation? –Identify the constant k in each equation if it represents direct variation. 1. Y = 3x 2. Y = 4x Y = x 4. 2y = 8x 5. 5x + 2y = x – y = 7

More facts about Direct Variation If the graph has the point (0,0), then it is DIRECT VARIATION!

Are these direct variation? a) b) c)

Writing a Direct Variation Equation Ex. 1: Write an equation of the direct variation that includes the point: (4, -3) Step1: Start with the direct variation equation Step 2: Substitute the x and y in the ordered pair for the x and y in the equation. Step 3: Solve for k. Step 4: Write the equation substituting k (in step 3) for k in the equation

You try! 2. Write a direct variation through the point (5, 2) 3. Write a direct variation through the point (-6, -6) 4. Write a direct variation through the point (-3, -12)

Direct Variation in a Table The value of k must be the same for all points!

Do the values vary directly?

Coming up… HW 4.8 tonight Quiz 4.2 Friday 11/15 Unit 4 Test – next Friday, 11/22