Algebra I

Cards (10)

• 1
  Front

  What is a variable in algebra?

  Back

  A symbol (usually a letter) that represents an unknown or changing value in a mathematical expression or equation.

• 2
  Front

  What is the difference between an expression and an equation?

  Back

  An expression is a combination of numbers, variables, and operations with no equality sign (e.g., 3x + 2). An equation states that two expressions are equal, using an '=' sign (e.g., 3x + 2 = 8).

• 3
  Front

  What are the steps to solve the linear equation 2x + 5 = 13?

  Back

  Step 1: Subtract 5 from both sides → 2x = 8. Step 2: Divide both sides by 2 → x = 4.

• 4
  Front

  When solving an inequality, when must you flip the inequality sign?

  Back

  When you multiply or divide both sides of the inequality by a negative number.

• 5
  Front

  What does a solution to a system of equations represent graphically?

  Back

  The point (or points) where the graphs of the equations intersect, satisfying all equations simultaneously.

• 6
  Front

  What does the exponent rule a^m × a^n equal?

  Back

  a^(m + n). When multiplying expressions with the same base, add the exponents.

• 7
  Front

  What is a polynomial?

  Back

  An algebraic expression consisting of one or more terms, each made up of a coefficient and a variable raised to a non-negative integer exponent (e.g., 4x^3 - 2x + 7).

• 8
  Front

  How do you multiply two binomials using the FOIL method? Show with (x + 3)(x + 2).

  Back

  FOIL: First (x·x = x^2), Outer (x·2 = 2x), Inner (3·x = 3x), Last (3·2 = 6). Combine like terms → x^2 + 5x + 6.

• 9
  Front

  What are the two numbers needed to factor the trinomial x^2 + 7x + 12?

  Back

  3 and 4, because 3 × 4 = 12 and 3 + 4 = 7. The factored form is (x + 3)(x + 4).

• 10
  Front

  What is the substitution method for solving a system of equations?

  Back

  Solve one equation for one variable, substitute that expression into the other equation, then solve for the remaining variable and back-substitute to find both values.