Algebra 1: Multi-step Equations Flashcards

Multi-step Equations in Algebra 1

• Multi-step equations involve simplifying and solving for the variable by performing algebraic operations on both sides of the equation.
• Solutions can typically be expressed as a single value for the variable in question.

Specific Equations and Solutions

• Equation: 13x - 9x + 20 = 30 + 2

  • Solution: x = 3

• Equation: 2(x - 5) = 5x + 23

  • Solution: x = -11

• Equation: -3x - 4(4x - 8) = 3(-8x - 1)

  • Solution: x = -7

• Equation: 15 + 14a = 9a - 5

  • Solution: a = -2

• Equation: 12m + 4m - 5 - 9 = 8m - 13m + 15 - 8

  • Solution: m = -7

• Equation: 5 + 14a = 9a - 5

  • Solution: a = -2

• Equation: 4(2a + 3) = -3(a - 1) + 31

  • Solution: a = 2

• Equation: 5(3h - 9) - 12 = 12 - 7(h - 9)

  • Solution: h = 6

• Equation: 3x + 2 = 14

  • Solution: x = 4

• Equation: 3x + 4 = 2x - 7

  • Solution: x = -11

• Equation: -3x + 4 = 16

  • Solution: x = 4

• Equation: 3x + 2(2x - 1) = 33

  • Solution: x = 5

• Equation: 7x + 3 = 4x - 9

  • Solution: x = -4

Key Points to Remember

• Each equation can be solved through addition, subtraction, multiplication, or division.
• The solution often requires combining like terms and isolating the variable.
• Check each solution by substituting back into the original equation to verify accuracy.