Math6-8
Substituting Negative Numbers into Exponent Expressions
By Erin J.
A practice worksheet for 8th graders that reviews substituting values for x and y in expressions with exponents and negative bases. It builds skill with sign rules for even and odd exponents and the habit of using parentheses during substitution, and it opens with a worked example and a "Remember" callout for scaffolding.
Customize for your classroom
Teacher Guide & Tips
- Use this as a warm-up or a 20-30 minute independent practice block after a lesson on order of operations with integers, reviewing the worked example together before students begin.
- Discussion question: why does (-3)^2 give a different answer than -3^2, and what would change if the parentheses were left out?
- Scaffold for struggling readers: have them rewrite each substitution with parentheses first and label the exponent as even or odd before multiplying, then check the sign against the rule.
- Extension for advanced students: ask them to evaluate expressions with two variables, such as x^2 y^3 when x = -2 and y = -1, and to explain how the signs combine.
- Estimated time: about 25 minutes for the full set, with an additional 5 minutes for the discussion question.
Math6-8
Substituting Negative Numbers into Exponent Expressions
By Erin J.
A practice worksheet for 8th graders that reviews substituting values for x and y in expressions with exponents and negative bases. It builds skill with sign rules for even and odd exponents and the habit of using parentheses during substitution, and it opens with a worked example and a "Remember" callout for scaffolding.
Customize for your classroom
Teacher Guide & Tips
- Use this as a warm-up or a 20-30 minute independent practice block after a lesson on order of operations with integers, reviewing the worked example together before students begin.
- Discussion question: why does (-3)^2 give a different answer than -3^2, and what would change if the parentheses were left out?
- Scaffold for struggling readers: have them rewrite each substitution with parentheses first and label the exponent as even or odd before multiplying, then check the sign against the rule.
- Extension for advanced students: ask them to evaluate expressions with two variables, such as x^2 y^3 when x = -2 and y = -1, and to explain how the signs combine.
- Estimated time: about 25 minutes for the full set, with an additional 5 minutes for the discussion question.