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Variables & expressions

Grade 7 · Math · Free lesson

Hey there! Today we are going to unlock a math superpower: using mystery boxes to solve puzzles!

In math, a variable is just a letter (like x or y) that stands in for a mystery number. Think of it like an empty gift box waiting to be filled with a surprise value!

When we combine numbers, operations (+, -, *, /), and variables together, we get an expression. For example, 'x + 3' means whatever mystery number is in our box, we just add 3 to it!

x + 3 "x" is the variable, and "x + 3" is the expression!

We can evaluate an expression by replacing the variable with a real number. Watch how the expression 'x + 3' changes its total value when we slide a 5 into the mystery box!

Box (x) 5 + 3 = 8 If x = 5, then x + 3 becomes 5 + 3, which is 8!
✏️ 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: we are told that y = 10.
  3. Replace the letter 'y' in the expression with the number 10. The expression 'y - 4' becomes '10 - 4'.
  4. Subtract 4 from 10 to get your final answer: 6!
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