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Unit 4: Proportional relationships and percentages

Lesson 2: ratios and rates with fractions.

  • No videos or articles available in this lesson
  • Rates with fractions Get 3 of 4 questions to level up!

Lesson 3: Revisiting proportional relationships

  • Proportion word problems Get 3 of 4 questions to level up!

Lesson 5: Say it with decimals

  • Fraction to decimal: 11/25 (Opens a modal)
  • Worked example: Converting a fraction (7/8) to a decimal (Opens a modal)
  • Converting fractions to decimals Get 3 of 4 questions to level up!

Lesson 7: One hundred percent

  • Rational number word problem: ice (Opens a modal)
  • Percent problems Get 3 of 4 questions to level up!

Lesson 8: Percent increase and decrease with equations

  • Equivalent expressions with percent problems Get 3 of 4 questions to level up!

Lesson 10: Tax and tip

  • Interpreting linear expressions: diamonds (Opens a modal)
  • Tax and tip word problems Get 3 of 4 questions to level up!

Lesson 11: Percentage contexts

  • Percent word problem: guavas (Opens a modal)
  • Percent word problems: tax and discount (Opens a modal)
  • Discount, markup, and commission word problems Get 3 of 4 questions to level up!

7.4 Proportional Relationships and Percentages

In this unit, students use ratios, scale factors, unit rates (also called constants of proportionality), and proportional relationships to solve multi-step, real-world problems that involve fractions and percentages. They use long division to write fractions presented in the form \(\frac a b\) as decimals, e.g., \(\frac{11}{30} = 0.3\overline6\) . They learn to understand and use the terms “repeating decimal,” “terminating decimal,” “percent increase,” “percent decrease,” “percent error,” and “measurement error.” They represent amounts and corresponding percent rates with double number line diagrams and tables. They use these terms and representations in reasoning about situations involving sales taxes, tips, markdowns, markups, sales commissions, interest, depreciation, and scaling a picture. Students use equations to represent proportional relationships in which the constant of proportionality arises from a percentage, e.g., relationship between price paid and amount of sales tax paid.

Proportional Relationships with Fractions

  • 1 Lots of Flags
  • 2 Ratios and Rates With Fractions
  • 3 Revisiting Proportional Relationships
  • 4 Half as Much Again
  • 5 Say It with Decimals

Percent Increase and Decrease

  • 6 Increasing and Decreasing
  • 7 One Hundred Percent
  • 8 Percent Increase and Decrease with Equations
  • 9 More and Less than 1%

Applying Percentages

  • 10 Tax and Tip
  • 11 Percentage Contexts
  • 12 Finding the Percentage
  • 13 Measurement Error
  • 14 Percent Error
  • 15 Error Intervals

Let's Put it to Work

  • 16 Posing Percentage Problems

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Glencoe Math Course 2, Grade: 7 Publisher: Glencoe/McGraw-Hill

Glencoe math course 2, title : glencoe math course 2, publisher : glencoe/mcgraw-hill, isbn : not available, isbn-13 : 9780021359141, use the table below to find videos, mobile apps, worksheets and lessons that supplement glencoe math course 2..

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lesson 4 homework practice answer key 7th grade

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Go Math Answer Key

Texas Go Math Grade 7 Lesson 8.4 Answer Key Solving Two-Step Inequalities

Refer to our Texas Go Math Grade 7 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 7 Lesson 8.4 Answer Key Solving Two-Step Inequalities.

Use algebra tiles to model and solve each inequality.

Texas Go Math Grade 7 Lesson 8.4 Answer Key 19

Circle any given values that make the inequality true.

Texas Go Math Grade 7 Lesson 8.4 Answer Key 25

Texas Go Math Grade 7 Lesson 8.4 Guided Practice Answer Key

Texas Go Math Grade 7 Lesson 8.4 Answer Key 3

Solve each inequality. Graph and check the solution. (Example 2)

Texas Go Math Grade 7 Lesson 8.4 Answer Key 4

Circle any given values that make the inequality true. (Example 3)

Solving Two-Step Inequalities 2

Essential Question Check-In

Question 7. How do you solve a two-step inequality? Answer: First, isolate the variable. On one side of the inequality we put the variable, and on other side we put what’s left. If the variable is multiplied by some number, we have to divide inequality by that number. If we divide or multiply by a negative number, we have to reverse the direction of inequality.

Texas Go Math Grade 7 Lesson 8.4 Independent Practice Answer Key

Solve each inequality. Graph and check the solution.

Texas Go Math Grade 7 Lesson 8.4 Answer Key 7

Texas Go Math Grade 7 Lesson 8.4 H.O.T. Focus On Higher Order Thinking Answer Key

Texas Go Math Grade 7 Lesson 8.4 Answer Key 17

c. Describe the solution set of the compound inequality x < 2 and x > 7. Answer: The solution set is the intersection of sets where x is greater than 2 and less than 7, x ε (2, 7).

d. Describe the solution set of the compound inequality x > 2 or x < 7. Answer: The solution set is the union of sets where x is less than 2 and greater than 7, x ε (-∞, 2) ∪ (7, ∞).

Go Math Lesson 8.4 7th Grade Solving Two-Step Inequalities Question 22. Communicate Mathematical Ideas Joseph used the problem-solving strategy Work Backward to solve the inequality 2n+ 5 < 13. Shawnee solved the inequality using the algebraic method you used in this lesson. Compare the two methods. Answer: Working backward consists of mentally performing the following operations: Subtract 5 from 13 to obtain 8 and dividing by 2 gives us that n must be less than 4. Let’s perform the algebraic operations: 2n + 5 < 13 Write the inequality 2n + 5 – 5 < 13 – 5 Subtract 5 from both sides 2n < 8 Simplify \(\frac{2 n}{2}\) < \(\frac{8}{2}\) Divide both sides by 2 n < 4 Simplify The two methods are basically the same. Working backward consists of mostly working mentally, while the algebraic method is mostly written, but the operations performed are the same. The two methods are basically the same. The backward method works mentally while the algebraic method is a written solution.

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HMH Into Math Answer Key for Grade 8, 7, 6, 5, 4, 3, 2, 1, K | HMH Into Math Answers for Grade K-8 PDF

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  2. Proportional relationships and percentages

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