Direct and inverse variation algebra

    • [PDF File]Direct and Inverse Variation

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      DIRECT, JOINT, AND INVERSE VARIATION DIRECT VARIATION A linear equation of the form y=kx with k!0 is called direct variation. The variable y varies directly with the variable x.In other words, the variables change at the same rate: If the value of one variable doubles,

    • Algebra II Variation Worksheet (Covers section 2-3 and 9-1)

      Algebra II Variation Worksheet (Covers section 2-3 and 9-1) Determine if the data in the table represents a direct variation, an inverse variation, or neither. If it does represent one, determine the equation. 1) x 3 8 10 12 y 15 40 50 110 2) x 3 5 7 10.5 y 14 8.4 6 4 3) x 0.5 2.1 3.5 11 y 1 4.2 7 22 4) x 0.1 3 6 24

    • [PDF File]Direct and Inverse Variation Stacking Boxes 2

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      108 SpringBoard® Mathematics with Meaning™ Algebra 1 ACTIVITY 2.5 Direct and Inverse Variation continued SStacking Boxestacking Boxes 5. T he number of boxes is directly proportional to the height of the stack. Use a proportion to determine the height of a stack of 12 boxes. 6. When two values are directly proportional, there is a direct ...

    • [PDF File]Algebra 1 Chapter 04 Review - murrieta.k12.ca.us

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      TOP: 4-5 Example 1 KEY: direct and inverse variation | constant of variation 10. ANS: A PTS: 1 DIF: L2 REF: 4-5 Direct Variation OBJ: 4-5.1 Writing the Equation of a Direct Variation STA: CA A1 15.0 | CA A1 16.0 TOP: 4-5 Example 1 KEY: direct and inverse variation | constant of variation

    • [PDF File]Inverse Variation - Loudoun County Public Schools

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      Inverse Variation Two variables x and y show inverse variation if y = x k and k 0. Constant of Variation The non-zero constant “k” is called the constant of variation. In direct variation, the variables vary in the same way – if one increases, the other increases; if one decreases, the other decreases. In inverse variation, the variables ...

    • [PDF File]Direct and Inverse Variation - Equation Sheet 1

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      Inverse variation, k = 5 Inverse variation, k = 1 4 Direct variation, k = 2 5 Inverse variation, k = 7 9 Direct variation, k = 9 ±10 + 15xy = 20 Direct variation, k = 3 4 Inverse variation, k = 4 5 Direct variation, k = 6 7 Direct variation, k = 6 Inverse variation, k = 2 Answer key Direct and Inverse Variation - Equation

    • [PDF File]Algebra 2 Unit: Rational Functions Section: Direct and ...

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      Algebra 2 Unit: Rational Functions Section: Direct and Inverse Variation Review Worksheet Key 1) Tell whether each of the following is a direct or an inverse variation. a) y = 3x This is in the form y = kx, which is a direct variation. b) y = x 3 Rewrite this as y = 1 3 x and this is in the form y = kx, which is a direct variation. c) y = 3 x

    • [PDF File]Linear Functions, Equations, and Inequalities

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      The special case of b = 0 is a direct variation. Inverse Variation Most people probably interpret an inverse variation as simply a relationship in which y decreases as x increases. For example, the graph below shows a line and a curve. For both, the value of y decreases as x increases. In mathematics, however, y = 10

    • [PDF File]Algebra I Name: Block: Date: SOL A.8 Direct/Inverse ...

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      Algebra I Name: Block: Date: SOL A.8 Direct/Inverse Variation Direct Variation: _____ Inverse Variation:_____ Find the missing variable: 1) y varies directly with x. If y = -4 when x = 2, find y when x = -6. 2) y varies inversely with x. If y = 40 when x = 16, find x when y = -5. ...

    • [PDF File]ALGEBRA 2 CHAPTER EIGHT ASSIGNMENTS Section 8-1 Direct and ...

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      What is the constant ot variation tor the equation y = x Is this a direct or an inverse variation? It y = 4, what is x? It x = 1, what is y? Determine whether each graph represents a direct variation or an indirect variation. Solve. 6. 6. y varies directly as x, and y = 18 when x = a. What is the constant ot variation? b. Write a direct ...

    • [PDF File]Workshop 7 Direct and Inverse Variation - Learner

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      Part II: Inverse Variation Getting Ready (15 minutes) • List several examples of problem situations that could be modeled by direct variation functions and inverse variation functions. • Divide into small groups, share your examples, and collectively produce more examples. Watching the Video (30 minutes) Watch Part II: Inverse Variation.

    • [PDF File]Answers (Anticipation Guide and Lesson 11-1)

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      Glencoe Algebra 1 Skills Practice Inverse Variation Determine whether each table or equation represents an inverse or a direct variation. Explain. 1. x y 0.5 8 1 4 2 2 4 1 2. xy = 2 • 3 3. -2 x + y = 0 Assume that y varies inversely as x. Write an inverse variation equation that relates x and y. Then graph the equation. 4. y = 2 when x 4 when ...

    • [PDF File]Inverse Variation - Algebra 2 - Resources

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      Tell whether x and y show direct variation, inverse variation, or neither. 1. 6x = y 2. xy = −0.25 3. y + x = 10 The general equation y = ax for direct variation can be rewritten as y — x = a. So, a set of data pairs (x, y) shows direct variation when the ratios y — are constant. x The general equation y = a — for inverse variation can ...

    • [PDF File]Direct Variation - Henry County Public Schools

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      A direct variation is a situation in which two quantities increase or decrease at the same rate. A mechanic who is paid hourly knows that working longer means making more money. That's because his pay varies directly as the number of hours worked. As his hours increase, so does the amount of his paycheck.

    • [PDF File]Algebra 2 Lesson 10A Worksheet Direct, Inverse, and Joint ...

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      Algebra 2 – Lesson 10A Worksheet Direct, Inverse, and Joint Variation Solve each of the following problems using the direct, inverse and joint variation equations. Make sure to show all work on a separate sheet of paper. 1. y varies directly as x. x = 3 when y = 12. Find y when x = 12. 2. a varies directly as b. b = 1 when a = 5. Find b when ...

    • [PDF File]MISS ELLIS MATH WEBSITE - Home

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      C. Write an equation for finding the constant of variation by solving for k in your answer to Part (a) 6. Reason abstractly. Compare and contrast the equations of direct ACTIVITY 10 conttnuea M Notes MATH TIP Indirect variation is also known as inverse variation. Activity 10 Linear Models 145 and indirect variation. birec¥(Feò (MON) 7.

    • [PDF File]ALGEBRA 2 CHAPTER 8 RATIONAL FUNCTIONS Section 8-1 Direct ...

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      ALGEBRA 2 CHAPTER 8 RATIONAL FUNCTIONS Section 8-1 Direct and Inverse Variation Objective: Solve problems involving direct, inverse, and combined variation. CC.9-12.A.CED.2; CC.9-12.A.CED.3 One special type of linear function is called _____ A is a relationship between two

    • [PDF File]Direct, Inverse, and Joint Variation Notes and Examples

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      Direct, Inverse, and Joint Variation Notes and Examples Two or more quantities that are related to each other are said to vary directly, inversely, or jointly. All variation problems involve a constant of proportion, k., but whether the two quantities grow or decrease together determines what type of variation you will use.

    • [PDF File]Compare and Contrast Direct Inverse Variation

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      Benchmark MA.AI.9.2: Compare and contrast the concepts of direct and inverse variation of a relation. Goals: Graph inverse variations. Solve problems involving inverse variations. Compare and Contrast Direct & Inverse Variation G is the constant of variation [Algebra 1 (X)]

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