Solving Linear Equations Concepts

The video tutorial introduces two-step equations, providing an example and solving it quickly. It explains the order of operations and how to reverse them to solve equations. The tutorial then goes through a detailed, step-by-step solution of the example, emphasizing the importance of applying operations to both sides of the equation. Finally, it verifies the solution by plugging it back into the original equation, ensuring the answer is correct.

What is the first step in solving the example equation 5x - 3 = -23?

• Divide both sides by 3

• Multiply both sides by 5

• Subtract 5 from both sides

• Add 3 to both sides

Tags

TEKS.MATH.7.11A

Which operation should be reversed first when solving a two-step equation?

• Multiplication

• Exponents

• Division

• Addition or Subtraction

Which of the following is NOT part of the order of operations?

• Square roots

• Parentheses

• Exponents

• Subtraction

Tags

TEKS.MATH.7.11A

What is the result of adding 3 to both sides of the equation 5x - 3 = -23?

• 5x = -20

• 5x = -26

• 5x = 0

• 5x = -23

Tags

TEKS.MATH.7.11A

What is the main goal when solving an equation?

• To find the value of x

• To eliminate all numbers

• To make both sides equal zero

• To simplify the equation

Tags

TEKS.MATH.6.3D

What is the result of -23 + 3 in the example problem?

• -26

• -20

• 20

• 26

Tags

TEKS.MATH.6.10A

After solving 5x = -20, what is the value of x?

• x = -5

• x = -4

• x = 5

• x = 4

Tags

TEKS.MATH.8.8C

What is the purpose of plugging the solution back into the original equation?

• To find a different solution

• To verify the solution is correct

• To simplify the equation

• To change the equation

Tags

TEKS.MATH.7.3B

What is the result of 5 * -4 in the verification step?

• -23

• 20

• 0

• -20

Tags

TEKS.MATH.6.3D

What is the final result when you subtract 3 from -20 during verification?

• -17

• -23

• 23

• 0

Tags

TEKS.MATH.6.3D