Understanding One-Step and Two-Step Equations

This video tutorial introduces solving one-step and two-step equations, starting with simple examples like x + 3 = 10 and progressing to more complex equations such as 5x - 3 = 17. The tutorial emphasizes the goal of isolating variables on one side of the equation and numbers on the other, using algebraic operations like addition, subtraction, multiplication, and division. It also covers combining like terms to simplify equations, providing a comprehensive understanding of basic algebraic techniques.

What is the value of x in the equation x + 3 = 10?

• 5

• 7

• 6

• 8

In the equation x + 3 = 10, what operation is used to isolate x?

• Addition

• Subtraction

• Multiplication

• Division

What is the first step in solving the equation 5x - 3 = 17?

• Subtract 5 from both sides

• Add 3 to both sides

• Divide both sides by 5

• Multiply both sides by 5

After adding 3 to both sides of 5x - 3 = 17, what is the resulting equation?

• 5x = 14

• 5x = 23

• 5x = 20

• 5x = 17

What operation is used to solve for x in the equation 5x = 20?

• Addition

• Subtraction

• Division

• Multiplication

In the equation 10 = 3x + 1, what is the first step to isolate x?

• Divide both sides by 3

• Add 1 to both sides

• Subtract 1 from both sides

• Multiply both sides by 3

What does the equation 10 = 3x + 1 simplify to after subtracting 1 from both sides?

• 12 = 3x

• 10 = 3x

• 11 = 3x

• 9 = 3x

What is the final value of x in the equation 10 = 3x + 1?

• x = 5

• x = 3

• x = 2

• x = 4

What is the purpose of combining like terms in an equation?

• To change the equation completely

• To add more variables

• To simplify the equation

• To make the equation longer

In the equation 10 = 3x + 1, what does the term 'zero pair' refer to?

• A pair of variables

• A pair of numbers that add to zero

• A pair of solutions

• A pair of equations