Linear Equations and Fractions

This video tutorial covers solving linear equations in one variable. It provides two examples, demonstrating how to simplify and solve equations by isolating the variable. The tutorial also explains converting improper fractions to mixed numbers, emphasizing the importance of leaving solutions as simplified improper fractions. The video concludes with a summary of key concepts and encourages students to practice these techniques.

What is the primary goal when solving a linear equation in one variable?

• To find the value of the variable that makes the equation true

• To find the sum of all coefficients

• To eliminate all variables from the equation

• To convert the equation into a quadratic equation

Tags

CCSS.7.EE.A.1

In the first example, what is the result of combining the like terms 9X and -6X?

• 0

• 15X

• -3X

• 3X

Tags

CCSS.7.EE.B.4A

What operation is used to isolate the variable term 3X in the equation 3X - 17 = -42?

• Subtraction

• Multiplication

• Addition

• Division

How is the improper fraction -25/3 converted to a mixed number?

• -8 2/3

• -9 1/3

• -8 1/3

• -7 2/3

Tags

CCSS.7.EE.A.1

In the second example, what is the result of combining the like terms -7X and 3X?

• 10X

• -4X

• 4X

• -10X

Tags

CCSS.7.EE.B.4A

What operation is used to isolate the variable term -4X in the equation -48 = -4X + 42?

• Addition

• Subtraction

• Division

• Multiplication

What is the simplified form of the fraction 90/4?

• 90/2

• 45/4

• 22 1/2

• 45/2

How is the improper fraction 45/2 converted to a mixed number?

• 21 1/2

• 24 1/2

• 23 1/2

• 22 1/2

Why is it acceptable to leave solutions as improper fractions in advanced math?

• They are easier to calculate with

• They are always more accurate

• They are simpler to understand

• They are acceptable as long as they are simplified

What is the common factor used to simplify the fraction 90/4?

• 2

• 4

• 5

• 3