Pre-algebra concepts, geometry, and statistical thinking for seventh grade students.
Expressions are combinations of numbers, variables (like \(x\) or \(y\)), and operations (like \(+\), \(-\), \(\times\), \(\div\)). An equation is like a math sentence: it states that two expressions are equal.
Variables stand for unknown values. You'll start creating expressions like \(3x + 5\) and solving equations like \(2x = 8\).
To find the value of a variable, you "undo" the math operations. For example, to solve \(x + 4 = 10\), subtract 4 from both sides.
Knowing how to write and solve equations helps with budgeting, figuring out distances, or solving puzzles where something is unknown.
Finding out how many apples you have if you buy 3 and end up with 10: \(x + 3 = 10\).
Solving for the cost per ticket if 5 tickets cost $25: \(5x = 25\).
Expressions and equations help us solve for unknowns and make sense of relationships between quantities.