Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Write and apply direct-variation equations. Write and solve proportions. 1.4.

Slides:



Advertisements
Similar presentations
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Use z-scores to find percentiles. Thinking Skill: Explicitly assess information.
Advertisements

Week Day 24 1 What is the surface area of the figure represented by this net? A. B. C. D. 32 square meters 36 square meters 40 square meters 44 square.
Holt CA Course 2 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. What is the value of the expression 5x – 2(4x – 3) 2 when x = –3? Week.
Bellwork Write the equation of the graph below in factored form.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Identify and evaluate rational functions. Graph a rational function, find its.
Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Identify parallel lines and perpendicular lines by comparing their slopes. Write.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. (Additional slides created/edited by Mr. Weidinger EWHS Goldsboro, NC) Objectives: The.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objective Plot points and lines on a coordinate plane. 1.4 Graphing With Coordinates.
 The steps to follow to solve a problem with direct variation: 1. Write the equation: y = kx 2. Substitute for x and y 3. Solve for k 4. Rewrite the.
P. 26 #11-15, 23-27, 37, 39, 45, 47.
1.4 Direct Variation and Proportion
Chapter 1 Section 4. Direct Variation and Proportion Direct Variation: The variable y varies directly as x if there is a nonzero constant k such that.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Recognize arithmetic sequences, and find the indicated term of an arithmetic.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Slope-Intercept Form A.CED.2.
Direct and Inverse Variation
Multiplication Rules for Exponents
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives 8.2 Laws of Exponents: Powers and Products Find the power of a power. Find the.
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.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Solve and graph a linear inequality in two variables. Use a linear inequality.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Represent a real-world linear relationship in a table, graph, or equation. Identify linear.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Compare real numbers. Simplify expressions involving opposites and absolute.
CHAPTER 1.4, DATE_______. DIRECT VARIATION 1. Line through the origin 2. y varies directly as x (as x changes so will y at a constant rate, k) y = kx.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Multiply and divide rational expressions. Simplify rational expressions, including.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Section 5-3 Circumference and area of a circle 5.3 Circumferences and Areas of Circles.
Holt CA Algebra 1 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Simplify the expression. (2a 2 b 3 c 5 )(4ab 2 c 4 ) A. B. C. D. Week.
Do Now The ratio of men to women on a cruise is 6 to 8. If there are 168 people on the cruise, how many women are there?
Holt Algebra Solving Two-Step and Multi-Step Equations Multi-step Equations.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Interpret stem-and-leaf plots, histograms, and box-and-whisker plots. Represent.
1.4 Direct Variation and Proportion Objectives: Write and apply direct variation equations. Write and solve proportions. Standard: P Analyze a.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objective Use the law of cosines to solve triangles The Law of Cosines.
Holt CA Course 2 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Sandra uses 3.6 meters of ribbon to weave a small rug and 4.2 meters of.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Evaluate expressions involving exponents. Simplify expressions involving exponents.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objective 1.8 Solving Absolute-Value Equations and Inequalities Write, solve, and graph.
Objectives Simplify expressions with several variables by combining like terms.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Simplify and evaluate expressions involving logarithms. Solve equations involving.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Use the elimination method to solve a system of equations. Choose an appropriate.
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.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Solve a system of equations containing first- or second-degree equations in.
Objectives Multiply expressions containing variables. Divide expressions containing variables. Page 96 Multiplying and Dividing Expressions Why? When solving.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Find the theoretical probability of an event. Apply the Fundamental Counting.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. DO NOW: Solve for y. 1.4x – y = 7 2.x + 2y = – 6y = 9x Y = 4x – 7 Y = -1/2x + 4 Y.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Represent mathematical and real-world data in a matrix. Find sums and differences.
Literal Equations.
2.2 Direct Variation. Identifying Direct Variation From Tables For each function, determine whether y varies directly with x. If so, what is the constant.
 The steps to follow to solve a problem with direct variation: 1. Write the equation: y = kx 2. Substitute for x and y 3. Solve for k 4. Rewrite the.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Solve a rational equation or inequality by using algebra, a table, or a graph.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Find coterminal and reference angles. Find the trigonometric function values.
Direct Variation Chapter 5 Section 2. Objective  Students will write and graph an equation of a direct variation.
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.
Warm-Up Solve each equation. 1) 27 = c(-4) 6 minutes 2) 3) 4) 5) 2(4y + 1) = 3y.
Copyright © 2009 Pearson Education, Inc. Chapter 6 Section 5 – Slide 1 Chapter 4 Variation.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objective Evaluate trigonometric expressions involving inverses Inverses of Trigonometric.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objective Solve mathematical and real-world problems by using the law of sines The.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Use the quadratic formula to find real roots of quadratic equations. Use the.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Evaluate natural exponential and natural logarithmic functions. Model exponential.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Write and graph the standard equation of a parabola given sufficient information.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Identify, evaluate, add, and subtract polynomials. Classify polynomials and.
1.1 Tables and Graphs of Linear Equations
Distributive Property with Equations
1.8 Solving Absolute-Value Equations and Inequalities
Direct Variation.
1.4 Direct Variation and Proportion
5-2 Direct Variation What is Direct Variation?
6-3 Solving Systems Using Elimination
Direct Variation Direct Variation: y y
Objectives Solve quadratic equations by taking square roots.
One-step addition & subtraction equations: fractions & decimals
Presentation transcript:

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Write and apply direct-variation equations. Write and solve proportions. 1.4 Direct Variation and Proportion

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Glossary Terms constant of variation Cross-Product Property of Proportions direct variation proportion 1.4 Direct Variation and Proportion

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Rules and Properties Direct Variation y = kx is called a direct-variation equation. k is the constant of variation. 1.4 Direct Variation and Proportion k  0

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Rules and Properties Cross-Product Property of Proportions 1.4 Direct Variation and Proportion If, then ad = bc. = a b c d For b  0 and d  0:

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills Write a direct-variation equation for given variables. 1.4 Direct Variation and Proportion k = 5 27 = 5.4 y = 5.4x Find the direct-variation equation for y = 27 when x = 5.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 35x = 350 Key Skills Write and solve proportions. 1.4 Direct Variation and Proportion x x x = x = TOC