Equality as Relationship Math Example 4
Follow the full solution, then compare it with the other examples linked below.
Example 4
mediumGiven \(2x + 1 = 9\), verify that \(x = 4\) is the solution. Then explain what equality means in this context.
Solution
- 1 Substitute \(x=4\): \(2(4)+1 = 8+1 = 9\).
- 2 Left side = 9 = Right side. ✓
- 3 Equality means: the left expression and right value are the same when \(x=4\).
- 4 \(x=4\) is the value that makes the relationship true.
Answer
\(x=4\) satisfies \(2x+1=9\)
A solution is the value making both sides equal. Equality expresses that two quantities are identical in value.
About Equality as Relationship
Understanding not as 'the answer is' but as expressing that two expressions represent the same value.
Learn more about Equality as Relationship →More Equality as Relationship Examples
Example 1 easy
Explain why (=) means 'the same value as', not just 'the answer is'. Use (3 + 5 = 4 times 2) as an e
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.