2.2.1 Solving linear equations in one variable

• What is the highest power of the variable in a linear equation in one variable?

  One
• What does the term 'a' represent in the linear equation ax + b = c?

  Coefficient
• In the linear equation ax + b = c, 'b' and 'c' are constants.

  True
• Simplifying equations is easier when terms, coefficients, and constants are understood.

  True
• Give an example of a constant in the equation 3x + 5 = 14.


  5
• Match the term with its corresponding coefficient or constant:

  3x ↔️ 3

  5 ↔️ 5

  14 ↔️ 14
• What operation is performed in the multiplication property of equality?

  Multiplying both sides
• Steps to check the solution x = 2 for the equation 2x + 3 = 7

  1️⃣ Substitute x with 2: 2(2) + 3 = 7

  2️⃣ Evaluate: 4 + 3 = 7

  3️⃣ Verify equality: 7 = 7
• The general form of a linear equation in one variable is ax + b = c.


  True
• What does it mean if both sides of the equation are equal after checking the solution?

  The solution is correct
• What is a constant in a linear equation?

  A number that doesn't change
• Constants in a linear equation are always positive numbers.

  False
• If both sides of the equation are equal after evaluation, the solution is correct.


  True
• What does it mean to combine like terms?

  Group terms with same variable
• Adding the same value to both sides of an equation maintains its balance


  True
• What should you do after substituting the solution into the equation?

  Evaluate both sides
• Dividing both sides of an equation by the same value changes its balance

  False
• 3x + 5x = 8x is an example of combining like terms.


  True
• Why is it important to check your solution after solving a linear equation?

  To ensure it's correct
• Match the term with its description:

  Variable ↔️ A letter representing an unknown number

  Coefficient ↔️ The number multiplied by the variable

  Constant ↔️ A number that doesn't change
• What is a coefficient in a linear equation?

  Number multiplied by variable
• Constants in an equation are numbers that do not change.


  True
• In the equation 3x + 5 = 14, the constants are 5 and 14.


  True
• Match the property of equality with its description:

  Addition ↔️ If a = b, then a + c = b + c

  Subtraction ↔️ If a = b, then a - c = b - c

  Multiplication ↔️ If a = b, then a × c = b × c

  Division ↔️ If a = b, then a / c = b / c
• What are the three key elements in a linear equation like 3x + 5 = 14?

  Terms, coefficients, constants
• What is the coefficient of x in the term 3x?


  3
• Why is it important to understand the components of linear equations?

  To solve them
• What is the purpose of the properties of equality in linear equations?

  Isolate the variable
• What is the solution to the equation 2x + 3 = 7?

  x = 2