Solving One-Step Equations with Rational Numbers

This video tutorial covers a seventh-grade Common Core lesson on solving one-step equations with rational numbers, including decimals and fractions. The teacher begins by setting learning objectives and then provides detailed examples of solving equations with decimals and fractions. The lesson concludes with guidance on accessing further resources and assignments on Canvas.

What is the main focus of the lesson in this video?

• Solving one-step equations with rational numbers

• Understanding algebraic expressions

• Learning about geometric shapes

• Solving quadratic equations

What types of numbers are included in the lesson on one-step equations?

• Complex numbers

• Whole numbers only

• Integers only

• Decimals and fractions

When solving one-step equations with decimals, what is important to remember?

• Ignore the decimal points

• Convert to fractions first

• Line up the decimals

• Always multiply by 10

In the example Yus 17.5 = 11.5, what operation is used to isolate Y?

• Division

• Subtraction

• Multiplication

• Addition

What is the result of solving the equation -4.2p = 12.6?

• p = -3

• p = 0

• p = 4

• p = 3

How do you solve t / 7.5 = 4 for t?

• Divide both sides by 4

• Subtract 7.5 from both sides

• Multiply both sides by 7.5

• Add 4 to both sides

What is the solution to the equation t / 7.5 = 4?

• t = 30

• t = 7.5

• t = 3

• t = 4

What is the first step in solving x + 1/9 = -4/9?

• Divide both sides by 9

• Subtract 1/9 from both sides

• Add 1/9 to both sides

• Multiply both sides by 9

What is the result of solving x + 1/9 = -4/9?

• x = 1/9

• x = 0

• x = 5/9

• x = -5/9

How do you solve x - 1/8 = 9/16 for x?

• Add 1/8 to both sides

• Subtract 1/8 from both sides

• Divide both sides by 16

• Multiply both sides by 8