Linear equations

    Cards (20)

    • What is an equation?

      An equation is a statement with an equal sign (=) showing two expressions are equal.
    • What does solving an equation involve?

      Solving an equation involves finding the value for which the two expressions are equal.
    • Can equations be true all the time?

      No, equations are not always true.
    • What is an identity?

      An identity is an equation that is always true, regardless of the values of the variables.
    • How can an identity be represented?

      An identity can be written with the sign .
    • Give an example of an identity.

      2x + 3x 5x is an identity.
    • What is a number machine?

      • A way of showing rules using a flow diagram.
      • It illustrates the operations applied to a variable.
    • How can the equation 3J - 6 = 9 be represented in a number machine?
      J → ×3 → -6 = 9 represents the operations applied to J.
    • What does the number machine representation J×3 → -6 = 9 mean?

      It means J has been multiplied by 3, then 6 has been subtracted, resulting in 9.
    • How do you solve equations using number machines?

      First write the equation as a number machine, then reverse each step.
    • What is the balance method in solving equations?

      The balance method involves applying the same operation to both sides of the equation to keep it balanced.
    • Solve the equation 3a + 8 = 26 using the balance method.

      Subtract 8 from each side to get 3a = 18, then divide by 3 to find a = 6.
    • What is the first step to solve the equation 5(2c - 3) = 19?

      The first step is to expand the bracket to get 10c - 15 = 19.
    • What do you do after expanding the bracket in the equation 5(2c - 3) = 19?

      After expanding, simplify the equation to get 10c - 15 = 19.
    • How do you isolate c in the equation 10c - 15 = 19?

      Add 15 to both sides to get 10c = 34, then divide by 10 to find c = 3.4.
    • What should you do when an equation includes fractions?
      Use inverse operations to keep the equation balanced.
    • How do you solve the equation 35 + 9 = 7/4?

      Multiply both sides by 4 to eliminate the fraction, resulting in 35 + 9 = 28.
    • What is the process to solve an equation with fractions?

      The process involves doing the opposite operations to each side to maintain balance.
    • What are the key steps in solving equations with brackets?

      1. Expand the bracket.
      2. Simplify the equation.
      3. Use the balance method to isolate the variable.
    • What is the BIDMAS rule?

      • BIDMAS stands for Brackets, Indices, Division and Multiplication, Addition and Subtraction.
      • It is used to determine the order of operations in calculations.
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