Solving Equations with Rational Coefficients

The video tutorial covers solving equations with rational coefficients, introducing key concepts like multiplicative inverse and coefficient. It provides step-by-step examples of solving equations, including real-life applications and advanced examples with fractions. The tutorial emphasizes verifying solutions and understanding the underlying mathematical principles.

What is the product of a number and its multiplicative inverse?

• The reciprocal of the number

• The number itself

• One

• Zero

Tags

CCSS.6.NS.B.4

In the equation 3.15 = 0.45n, what operation should be performed to isolate n?

• Subtract 0.45 from both sides

• Divide both sides by 0.45

• Multiply both sides by 0.45

• Add 0.45 to both sides

Tags

CCSS.6.EE.B.7

If 4.9 = 7t, what is the value of t?

• 1.4

• 4.9

• 7

• 0.7

Tags

CCSS.6.EE.B.7

In the equation -1.4m = 2.1, what is the value of m?

• 3.5

• -3.5

• 1.5

• -1.5

Tags

CCSS.6.EE.B.7

Latoya's softball team won 75% or 18 of its games. How many games did the team play?

• 30

• 24

• 18

• 36

Tags

CCSS.6.RP.A.3C

What is the multiplicative inverse of 3/4?

• 4/3

• 3/4

• 1/3

• 1/4

Tags

CCSS.3.NF.A.2B

CCSS.3.NF.A.1

In the equation 1/5x = 12, what is the value of x?

• 1/60

• 5

• 12

• 60

Tags

CCSS.6.EE.B.7

In the equation -2/9d = 4, what is the value of d?

• -36

• 36

• 18

• -18

Tags

CCSS.6.EE.B.7

How do you convert a mixed number to an improper fraction?

• Multiply the whole number by the denominator and add the numerator

• Add the whole number to the numerator

• Multiply the whole number by the numerator and add the denominator

• Divide the whole number by the denominator

In the equation -9 5/8w = 108, what is the value of w?

• -864/77

• 864/77

• 108/77

• -108/77

Tags

CCSS.6.EE.B.7