IM Alg1.7.11 Practice: What are Perfect Squares?
Select all the expressions that are perfect squares.
Each diagram represents the square of an expression or a perfect square. Complete the cells in the last table.
How are the contents of the three diagrams alike?
This diagram represents .
Rewrite the perfect-square expression in standard form: .
Rewrite the perfect-square expression in standard form: .
Rewrite the perfect-square expression in standard form: .
How are the , , and of a perfect square in standard form related to the two terms in ?
Solve each equation.
Explain or show why the product of a sum and a difference, such as , has no linear term when written in standard form.
To solve the equation , Han first expanded the squared expression. Here is his incomplete work: Complete Han’s work and solve the equation.
Jada saw the equation and thought, “There are two numbers, 2 and -2, that equal 4 when squared. This means is either 2 or it is -2. I can find the values of from there.” Use Jada’s reasoning to solve the equation.
Can Jada use her reasoning to solve ? Explain your reasoning.