Solving Equations with Rational Coefficients

This lesson teaches how to solve one-step equations with rational coefficients, including decimals and fractions. It explains the concept of coefficients and demonstrates solving equations by dividing or multiplying both sides by the inverse of the coefficient. The lesson covers examples with decimal, fractional, and whole number coefficients, emphasizing the importance of checking solutions. The video is presented by Math Fun Academy.

What is a coefficient in an equation?

• A number that multiplies a variable

• A number that is subtracted from a variable

• A number that is added to a variable

• A number that divides a variable

How do you solve an equation with a decimal coefficient like 0.25?

• Multiply both sides by 0.25

• Subtract 0.25 from both sides

• Divide both sides by 0.25

• Add 0.25 to both sides

What is the result of dividing 12 by 0.25?

• 60

• 48

• 24

• 3

When solving equations with decimals, what should you be careful about?

• Whole number arithmetic

• Decimal arithmetic

• Fraction arithmetic

• Negative number arithmetic

What is the inverse of the fraction 3/4?

• 4/3

• 1/4

• 3/4

• 1/3

How do you solve an equation with a fractional coefficient like 3/4?

• Divide both sides by 4/3

• Multiply both sides by 4/3

• Divide both sides by 3/4

• Multiply both sides by 3/4

What is the solution to the equation 12 divided by 3 equals 4, and 4 times 4 equals?

• 12

• 24

• 16

• 20

What is the inverse of the fraction 1/3?

• 1/3

• 1/4

• 4

• 3

How do you solve an equation with a whole number coefficient like 4?

• Multiply both sides by 1/4

• Divide both sides by 4

• Multiply both sides by 4

• Divide both sides by 1/4

What is the result of 24 divided by 4?

• 6

• 4

• 7

• 5