Solving Problems with Proportions

Jun 25, 2025

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Learn how to solve diverse problems using proportions effectively. This comprehensive guide will enhance your understanding and proficiency in proportion-based problem-solving. Gain the skills needed to excel in various scenarios requiring proportional reasoning.

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Solving Problems with Proportions

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Solving Problems with Proportions

Solving Proportions

Solving Proportions. Section 5.2. Objectives. Determine whether a proportion is true or false Solve a proportion. Objective 1: Determine whether a proportion is true or false. Objective 1. Proportions states two ratios are equal

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Solving Percent Problems Using Proportions

45 150. n 100. Write a proportion. =. Write the cross products. 150 n = 45 ( 100 ). 150 n 150. 45(100) 150. Divide each side by 150. =. Simplify. n = 30. COURSE 2 LESSON 6-5. Solving Percent Problems Using Proportions. What percent of 150 is 45?.

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Solving Proportions

Definitions. Proportion: two ratios that are equal to each otherCross Product: the product of the diagonals of a proportion. How to Solve Proportions. Step 1: Find the cross products of the proportion and set them equal to one another.Step 2: Solve for the variable using the rules for algebraic

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2.7 Solving Proportions:

Fraction: A term with numerator and denominator ( where b ≠ 0) . 2.7 Solving Proportions:. Proportion: An equation that states that two ratios are equal:. Beaded Necklace:. We can find the number of red/blue beads using the following concept:.

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Solving Proportions

Solving Proportions. Objective: Learn to solve proportions. . Cross Product. What is cross product? Cross product is the product (multiplication) of numbers on the diagonal when comparing two ratios. Example: . Cross Multiply. More Cross Product. Helpful Hint:

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Solving Story Problems with Proportions

Solving Story Problems with Proportions. You need to set up a proportion when you are comparing two things…. Such as: Miles per hour Cost per ounce Money per hour. The first thing you should do is find the two things that the problem is comparing. Then write out your verbal model.

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Solving Proportions with Algebraic Expressions

Solving Proportions with Algebraic Expressions. A review of the cross-products property and the distributive property. The Cross-Products Property. What is the cross-products property? If HERE is the PROOF :. The Cross-Products Property. Begin with:

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Solving Proportions

Solving Proportions . Lesson 2-7. Warm Up:

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Solving Story Problems with Ratios and Proportions

Solving Story Problems with Ratios and Proportions. Example #1 The manufacturing company needs to produce 4,675 batteries for a certain cell phone in 5 business days. How many batteries should be completed after 2 business days?. 1870 batteries should be finished by the end of the second day.

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Solving Proportions

Solving Proportions. Solving Proportions. A proportion is an equation showing that two ratios are equal. . Solving Proportions. A proportion is an equation showing that two ratios are equal. Ex) Consider the following stick figures:. Solving Proportions.

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Problem Solving in Geometry with Proportions

Problem Solving in Geometry with Proportions. Additional Properties of Proportions. IF. a. b. a. c. ,. then. =. =. c. d. b. d. IF. a. c. a + b. c + d. ,. then. =. =. b. d. b. d. Ex. 1: Using Properties of Proportions. IF. p. 3. p. r. ,. then. =. =. r. 5. 6.

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Solving Proportions

Solving Proportions. Warm Up Lesson. 0.3. Warm Up Solve each equation. 1. Multiply. 3. 5. 7. 48. 2. 5 m = 18. 3.6. 10. 4. 7. Change each percent to a decimal. 8. 1%. 0.006. 0.01. 0.6%. 73%. 0.73. 6. 112%. 1.12. Change each fraction to a decimal. 9. 10. 0.5.

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Solving Proportions

Solving Proportions. Math Connections II Fall 2012 Ms. Catalan. Objectives. Students will be able to:. (1) DESCRIBE a proportional relationship using an equation. (2) SOLVE proportions. (3) USE proportions to solve real-world problems. Definition. RATIO

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8.2 Problems with Proportions

8.2 Problems with Proportions. Use Properties of Proportions. True or Not. These proportions are true State if the following Proportions are correct. True or Not. These proportions are true State if the following Proportions are correct. Find LQ. Solve for x first. Find LQ.

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SOLVING PROPORTIONS

SOLVING PROPORTIONS. proportion-. Words: an equation that shows that two ratios are equivalent. Symbols :. =. ,. b. 0,. d. 0. One way to determine whether two ratios form a proportion is to find their cross products.

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2.7 solving proportions

2.7 solving proportions. Objective: 1. Solve problems using proportions. Ratio:. A comparison of two numbers, usually written as a fraction. Proportion:. --An equation stating that two ratios are equal. --(or two equal fractions). Where b ≠ 0 and d ≠ 0.

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Problem Solving in Geometry with Proportions

Problem Solving in Geometry with Proportions. Ratio. A ratio is a comparison of two quantities by division The ratio of a and b can be represented three ways: a/b a:b a to b An extended ration compares three values (i.e. a:b:c). Ratio Example. Extended Ratio Example. Proportion.

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Solving proportions

Solving proportions. 1. 4. =. 1:3 = 3:9. 2. 8. Proportions. What are proportions? - If two ratios are equal, they form a proportion. Proportions can be used in geometry when working with similar figures. What do we mean by similar?

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Solving Proportions

Solving Proportions. What’s a proportion?. A proportion is when 2 ratios are equivalent For example 5/6 = 15/18. How do you use proportions?. Proportions are great for solving all types of problems! You will be introduced to 2 methods of solving proportions Making a table

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Problem Solving in Geometry with Proportions

Problem Solving in Geometry with Proportions. Using the properties of proportions. In Algebra 1, you studied the reciprocal property and the cross product property. Two more properties of proportions, which are especially useful in geometry, are given on the next slides.

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Solving Percent Problems Using Proportions

Solving Percent Problems Using Proportions. Use the following proportion to solve percent problems!. IS (part) % OF (whole) 100 **The set up is always the same. =. PROPORTION METHOD will work for all three types of questions:. What number is 75% of 4?

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Presentation Transcript

Solving Proportions

Solving Percent Problems Using Proportions

Solving Proportions

2.7 Solving Proportions:

Solving Proportions

More Story problems With proportions

Solving Story Problems with Proportions

Solving Proportions with Algebraic Expressions

Solving Proportions

Solving Story Problems with Ratios and Proportions

Solving Proportions

Problem Solving in Geometry with Proportions

Solving Proportions

Solving Proportions

8.2 Problems with Proportions

SOLVING PROPORTIONS

2.7 solving proportions

Problem Solving in Geometry with Proportions

Solving proportions

Solving Proportions

Problem Solving in Geometry with Proportions

Solving Percent Problems Using Proportions