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Variables & expressions

Grade 6 · Math · Free lesson

Hey there! Today we are going to learn how to use secret code words in math to solve fun puzzles.

Imagine you have a mystery gift box. You don't know how many candies are inside yet, so we can use a letter like 'x' to stand for that secret number! In math, we call this letter a variable because its value can vary or change.

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An algebraic expression is like a math phrase. If we have our mystery box 'x' and we add 3 more candies next to it, we write this as 'x + 3'. Watch how the variable and the number join together to make an expression!

x + x + 3

What if we find out the mystery box 'x' actually has 5 candies inside? We can replace, or substitute, the 'x' with the number 5. Then our expression 'x + 3' becomes '5 + 3', which equals 8!

x 5 + 3 = 8 Watch "x" change into 5!
✏️ Worked example

Evaluate the expression 'y - 4' when y = 10.

  1. Identify the variable in the expression, which is 'y'.
  2. Look at the given value for the variable: y = 10.
  3. Substitute (replace) 'y' with the number 10 in the expression.
  4. Rewrite the expression as '10 - 4'.
  5. Subtract 4 from 10 to get the final answer: 6!
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