Practice Equality as Relationship in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Understanding = not as 'the answer is' but as expressing that two expressions represent the same value.
3 + 2 = 5 doesn't mean '3 + 2 makes 5'—it means they ARE the same.
Example 1
easyExplain why \(=\) means 'the same value as', not just 'the answer is'. Use \(3 + 5 = 4 \times 2\) as an example.
Example 2
mediumIf \(a = b\) and \(b = c\), what can we conclude about \(a\) and \(c\)? Give a numeric example.
Example 3
easyIs \(5 \times 6 = 30\) the same kind of statement as \(5 \times 6 = 3 \times 10\)? Explain.
Example 4
mediumGiven \(2x + 1 = 9\), verify that \(x = 4\) is the solution. Then explain what equality means in this context.