EQUAÇÃO DO 1º GRAU ∣ MATEMÁTICA BÁSICA ∣ Professora Angela Matemática

Summary

This video tutorial teaches how to solve first-degree equations, focusing on isolating the variable (x). Using three examples, the video demonstrates step-by-step methods to solve equations like x + 7 = 10, 4x - 2 = 8, and 7x + 2 = 2x + 17. It explains the importance of performing inverse operations (addition, subtraction, multiplication, and division) to isolate x and provides both detailed and quicker solution methods. Viewers are encouraged to practice more with additional exercises and are invited to visit the creator's website for further learning opportunities.

Takeaways

• 😀 Equations of the first degree aim to find the value of the unknown variable, commonly represented by 'x'.
• 😀 To solve simple first-degree equations like 'x + 7 = 10', we isolate the variable by using inverse operations.
• 😀 In the example 'x + 7 = 10', we subtract 7 from both sides to isolate 'x', resulting in 'x = 3'.
• 😀 The inverse operation of addition is subtraction, and the inverse of multiplication is division. These principles help in isolating variables.
• 😀 Another example '4x - 2 = 8' can be solved by first isolating '4x' and then dividing by 4 to find 'x'.
• 😀 In equations like '4x - 2 = 8', adding 2 to both sides eliminates the '-2', giving '4x = 10', followed by division by 4 to find 'x = 5'.
• 😀 When solving '7x + 2 = 2x + 17', the goal is to combine like terms by eliminating the terms involving 'x' from one side.
• 😀 In '7x + 2 = 2x + 17', subtracting '2x' from both sides simplifies to '5x + 2 = 17', and further isolating 'x' results in 'x = 3'.
• 😀 Direct solutions can be quicker once you're familiar with the concept of isolating the variable. For example, '7x + 2 = 2x + 17' becomes '5x = 15' and then 'x = 3'.
• 😀 The script provides a mix of step-by-step explanations and quicker methods for solving first-degree equations.
• 😀 The video also encourages viewers to practice solving equations using both detailed steps and faster methods for better understanding.

Q & A

What is the main objective of solving first-degree equations?

The main objective is to find the value of the unknown variable (denoted by 'x') that satisfies the equation, making both sides equal.

In the equation 'x + 7 = 10', how do we isolate x?

To isolate x, subtract 7 from both sides of the equation: x = 10 - 7, which simplifies to x = 3.

What is the first step in solving the equation '4x - 2 = 8'?

The first step is to add 2 to both sides of the equation to eliminate the -2 on the left side, resulting in '4x = 10'.

How do we solve for x in the equation '4x = 10'?

To solve for x, divide both sides of the equation by 4: x = 10 ÷ 4, which simplifies to x = 2.5.

In the equation '7x + 2 = 2x + 17', what is the first step to solve for x?

The first step is to subtract 2x from both sides to get all terms with x on one side of the equation, resulting in '7x - 2x = 17 - 2'.

After simplifying '7x - 2x = 17 - 2', what do we get?

After simplifying, we get '5x = 15'.

How do we solve for x in the equation '5x = 15'?

To solve for x, divide both sides by 5: x = 15 ÷ 5, which simplifies to x = 3.

What does 'isolating the variable' mean when solving an equation?

Isolating the variable means getting the unknown variable (such as x) by itself on one side of the equation, with only a constant or coefficient on the other side.

What is the inverse operation for addition and how is it used in solving equations?

The inverse operation for addition is subtraction. When solving equations, if a term is added to x, we subtract it from both sides of the equation to isolate x.

How can practicing with both step-by-step and direct methods benefit solving equations?

Practicing both methods helps develop a deeper understanding of the process, allowing you to solve equations more efficiently over time. The direct method speeds up the process once you're familiar with the steps.