Cards (20)

    • In linear simultaneous equations, the set of values that satisfies both equations is called a solution
    • How many unknowns do linear simultaneous equations have?
      Two
    • The method of elimination requires the coefficient of one unknown to be the same in both equations.
      True
    • Steps to solve the simultaneous equation 2𝑥 + 𝑦 = 6 and 6𝑥 + 2𝑦 = 24 using elimination
      1️⃣ Multiply the first equation by 2
      2️⃣ Subtract the new equation from the second equation
      3️⃣ Solve for 𝑥
    • What value of 𝑥 is obtained after eliminating 𝑦 from the equations 2𝑥 + 𝑦 = 6 and 6𝑥 + 2𝑦 = 24?
      6
    • Quadratic simultaneous equations can have up to two sets of solutions
    • Match the equation type with the appropriate solution method:
      Linear simultaneous equations ↔️ Elimination or substitution
      Quadratic simultaneous equations ↔️ Substitution
    • The solutions of simultaneous equations can be represented on a graph
    • What are the two values of 𝑦 obtained when solving the simultaneous equation 𝑦! + 2𝑥 = 10 and 2𝑥 + 𝑦 + 2 = 0?
      −3 and 4
    • The intersection point on a graph of two lines represents a solution to their simultaneous equations.
      True
    • What does solving an inequality find?
      Set of real numbers
    • To solve a quadratic inequality, we first find its critical values
    • Critical values of an inequality are similar to roots of a function.
      True
    • Match the inequality with its solution:
      2𝑥! − 3𝑥 − 2 > 0 ↔️ 𝑥 > 2 or 𝑥 < −1/2
      2𝑥! − 3𝑥 − 2 < 0 ↔️ −1/2 < 𝑥 < 2
    • What is the value of 𝑦 in the solution of the simultaneous equations 2𝑥 + 𝑦 = 6 and 6𝑥 + 2𝑦 = 24?
      −6
    • The solution to the inequalities 2𝑥 − 5 < 3𝑥 + 8 and 3𝑥 + 9 ≤ 𝑥 − 5 is −13 < 𝑥 ≤ −7
    • If 𝑦 > 𝑓(𝑥), the region satisfied is above the curve or line.
      True
    • What are the two points of intersection for the equations 𝑦 = 𝑥! and 𝑦 = 2𝑥 + 3?
      (3,9) and (−1,1)
    • Match the inequality with its corresponding region on a graph:
      𝑦 − 𝑥 < 3 ↔️ Region below the line
      𝑥! − 8𝑥 + 15 ≤ 𝑦 ↔️ Region above the curve
    • The solution to the inequality 2𝑥 + 3 > 𝑥! lies between the intersection points −1 < 𝑥 < 3