Complete the following questions to practice the skills you have learned in this lesson.
For the expressions in questions 1 – 4, choose which number would make the expression a perfect square. Then, choose an equivalent expression in factored form.
- What number can be added to make a perfect square?
- Which expression is equivalent to ?
- What number can be added to make a perfect square?
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0.03
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0.36
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0.81
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0.09
- Which expression is equivalent to ?
- What number can be added to make a perfect square?
- Which expression is equivalent to ?
- What number can be added to make a perfect square?
- Which expression is equivalent to ?
- What number can be added to make a perfect square?
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0
-
1
- What number can be added to make a perfect square?
- Noah is solving the equation . He begins by rewriting the expression on the left in factored form and writes . He does not know what to do next.
- Do you think using the factored form is the best way for Noah to solve this equation?
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No
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Yes
- Solve the original equation, then choose the two roots.
- An equation and its solutions are given. Solve the equation by completing the square, then choose whether you agree or disagree with the given solutions.
- . The solutions are and .
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Disagree
-
Agree
- . The solutions are and .
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Disagree
-
Agree
- . The solutions are and .
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Disagree
-
Agree
- Solve each equation, then choose the two roots.