Solving One-Step Equations

The video tutorial covers solving one-step equations with rational numbers, emphasizing the importance of showing algebraic steps and checking solutions. It introduces inverse operations for solving equations, including multiplication and division, and demonstrates how to handle equations with fractions using multiplicative inverses. The tutorial stresses the need for neat algebraic work and checking solutions by substituting them back into the original equations. The session concludes with a review of the concepts covered.

What is the first step in solving one-step equations with rational numbers?

• Multiply by zero

• Add random numbers

• Guess the answer

• Use inverse operations

Why is it important to show algebraic steps when solving equations?

• To make the solution look longer

• To ensure the solution is correct

• To confuse others

• To avoid using a calculator

In the equation -13.9 = 2.5x, what is the inverse operation used to solve for x?

• Subtraction

• Addition

• Multiplication

• Division

What is the solution to the equation -13.9 = 2.5x?

• x = -5.56

• x = 3.56

• x = 5.56

• x = -3.56

How do you check the solution of an equation?

• By guessing

• By substituting the solution back into the original equation

• By asking a friend

• By using a calculator

What is the inverse operation of dividing by 1.4 in the equation m/1.4 = 0.2?

• Dividing by 0.2

• Adding 1.4

• Multiplying by 1.4

• Subtracting 0.2

What is the solution to the equation m/1.4 = 0.2?

• m = 0.28

• m = 2.8

• m = 1.4

• m = 0.14

In the equation 3/4x = 9, what is the multiplicative inverse used?

• 4/3

• 3/4

• 4/9

• 9/4

What is the solution to the equation 3/4x = 9?

• x = 3

• x = 9

• x = 12

• x = 4

What is the inverse operation used in the equation x + (-8.3) = 10.75?

• Multiplying by 8.3

• Adding 8.3

• Subtracting 8.3

• Dividing by 8.3