Question

are the two terms on each tile like terms? sort the tiles into the appropriate categories.

-7y^2 and y^2
-4p and p^2
0.5kt and -10kt
6 and 9
5x and 5
3ad and 2bd

like terms
unlike terms

Explanation:

Define like and unlike terms

Like terms are terms that have the exact same variables raised to the exact same powers. Constant terms are also like terms. Unlike terms have different variables or different powers.

Analyze each tile

• \(-7y^2\) and \(y^2\): Same variable \(y\) and same exponent \(2\).
• \(-4p\) and \(p^2\): Same variable \(p\), but different exponents (\(1\) vs \(2\)).
• \(0.5kt\) and \(-10kt\): Same variables \(k\) and \(t\) with same exponents (\(1\)).
• \(6\) and \(9\): Both are constant terms.
• \(5x\) and \(5\): One has variable \(x\), the other is a constant.
• \(3ad\) and \(2bd\): Different variables (\(a\) vs \(b\)).

Group the tiles

• Like Terms: \(-7y^2\) and \(y^2\), \(0.5kt\) and \(-10kt\), \(6\) and \(9\)
• Unlike Terms: \(-4p\) and \(p^2\), \(5x\) and \(5\), \(3ad\) and \(2bd\)

Answer:

Like Terms	Unlike Terms
\(0.5kt\) and \(-10kt\)	\(5x\) and \(5\)
\(6\) and \(9\)	\(3ad\) and \(2bd\)