Unit 3 Lesson 7

Noah solved the equation  $5x^2=45.$  Here are his steps: Do you agree with Noah? Explain your reasoning

Find the solution to the equation:

• 5.41

• -2.59

• -0.54

• No solution

Find the solution to the equation:

• -11

• 11

• 9.3

• No solution

Find the solution to the equation:

• -13.75

• 120

• 80

• No solution

Which is a solution to the equation  $\sqrt{5-x}+13=4?$  

• 81

• 9

• 86

• No solution

Which are the solutions to the equation  $x^2=36?$  

• 6 only

• -6 only

• 6 and -6

• No solutions

Here is a graph of  $y=x^2.$  Use the graph to estimate all solutions to the equation  $x^2=3.$  

• 1.7 and -1.7

• 1.7

• -1.7

• No solutions

The polynomial function $q\left(x\right)=3x^3+11x^2-14x-40$ has a known factor of  $\left(3x+5\right).$  Rewrite the function as the product of linear factors.