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.
doesn't mean '3 + 2 makes 5'—it means they ARE the same.
Showing a random 20 of 50 problems.
Example 1
easyIs the same kind of statement as ? Explain.
Example 2
mediumWhat value of makes true?
Example 3
easyIf , what is ?
Example 4
mediumIf , what equals ?
Example 5
mediumIs a true equality? Justify.
Example 6
easyTrue or false: in , the means '3 + 4 makes 7' as a command.
Example 7
challengeFind all integers and such that .
Example 8
easyDoes mean 'do this calculation' or 'the values are the same'?
Example 9
mediumWhich equations are TRUE: (i) , (ii) , (iii) ?
Example 10
easyMake this true: .
Example 11
hardClassify each as identity, conditional equation, or contradiction: (a) , (b) , (c) .
Example 12
hardFor what value of does the equation have infinitely many solutions?
Example 13
hardFind a value of for which is FALSE.
Example 14
mediumIs a true equation for every value of ?
Example 15
mediumGiven , verify that is the solution. Then explain what equality means in this context.
Example 16
hardFind all values of that satisfy .
Example 17
easyFill the blank to keep equality true: .
Example 18
hardAre and equivalent equations?
Example 19
easyTrue or false: .
Example 20
mediumIs and , so ? Justify.