Solving Linear Equations and Coefficients

The video tutorial from MooMooMath explains how to solve equations with rational coefficients, which are essentially fractions. It provides two examples: the first involves solving x divided by 4 equals negative 3 by multiplying both sides by 4, and the second involves solving 3/4x equals 2/3 by multiplying both sides by the reciprocal of the coefficient. The tutorial emphasizes the use of reciprocals to isolate the variable and solve the equations.

What is another term for a rational coefficient?

• Decimal

• Fraction

• Whole number

• Integer

In the equation x/4 = -3, what operation should be performed to isolate x?

• Add 4 to both sides

• Subtract 4 from both sides

• Divide both sides by 4

• Multiply both sides by 4

What is the result of multiplying both sides of x/4 = -3 by 4?

• x = -3

• x = 3

• x = -12

• x = 12

What is the purpose of multiplying by the reciprocal in solving equations?

• To simplify the equation

• To eliminate the coefficient

• To add fractions

• To divide fractions

In the equation (3/4)x = (2/3), what is the reciprocal of the coefficient?

• 4/3

• 3/4

• 2/3

• 3/2

After multiplying both sides of (3/4)x = (2/3) by 4/3, what is the value of x?

• x = 2/3

• x = 8/9

• x = 3/2

• x = 9/8

What is the result of multiplying 2/3 by 4/3?

• 4/9

• 12/9

• 6/9

• 8/9