Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Equations

Video solutions

• Solving a Literal Equation for a Specific Variable
  Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Equations · Chapter 1-

  The formula for the perimeter of a rectangle is $P = 2l + 2w$. (a) Solve the formula for $l$ (length). (b) Use the result to find the length of a rectangle with perimeter 54 cm and width 9 cm.

• Solving Equations with Fractions
  Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Equations · Chapter 1-

  Solve the equation: $$\frac{3}{4}x + 2 = \frac{1}{2}x + 7$$ Eliminate fractions using the least common denominator, then solve. Verify your answer.

• Solving Multi-Step Equations with Like Terms
  Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Equations · Chapter 1-

  Solve the equation: $$5x + 3x - 10 = 38$$ Combine like terms first, then isolate the variable. Show all steps and check your solution.

• Solving Equations Using the Distributive Property
  Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Equations · Chapter 1-

  Solve the equation: $$4(2x - 3) = 28$$ Apply the distributive property first, then solve the resulting two-step equation. Check your answer.

• Solving Absolute Value Equations
  Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Equations · Chapter 1-

  Solve the equation: $|2x - 6| = 10$. Write two separate cases, solve each, and check both solutions in the original equation.

• Writing & Solving a Linear Equation from a Word Problem
  Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Equations · Chapter 1-

  A movie streaming service charges a flat monthly fee of $8 plus $3 per premium movie rented. If a customer's bill for one month is $26, write and solve an equation to find how many premium movies the customer rented.

• Solving Equations with Variables on Both Sides
  Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Equations · Chapter 1-

  Solve the equation: $$6x + 5 = 2x + 21$$ Collect variable terms on one side and constants on the other. Show each step and verify the solution.

• Solving Two-Step Equations
  Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Equations · Chapter 1-

  Solve the equation: $3x - 8 = 16$. Identify the two operations applied to $x$ and undo them in reverse order. Verify your answer.

• Solving One-Step Addition & Subtraction Equations
  Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Equations · Chapter 1-

  Solve the equation: $$x + 14 = 29$$ Show each step and check your answer by substituting back into the original equation.

• Solving One-Step Multiplication & Division Equations
  Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Equations · Chapter 1-

  Solve the equation: $$7x = 91$$

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