Fill in the blanks.(6 points)
If I wanted to estimate 59−−√ , the first step would be to find the two ? squares that 59 lies ? on the number line. The closest perfect square less than 59 is Response area. The closest perfect square greater than 59 is ?. I could then think about the number 59 and how close it is to the smaller perfect square and the larger perfect square. I could then take the ? root of the perfect squares to see how I would estimate 59−−√ . The 59−−√ is closest to ?.
If I wanted to estimate $\sqrt{59}$ , the first step would be to find the two $\text{perfect}$ squares that 59 lies $\text{between}$ on the number line. The closest perfect square less than 59 is $49$. The closest perfect square greater than 59 is $64$. I could then think about the number 59 and how close it is to the smaller perfect square and the larger perfect square. I could then take the $\text{square}$ root of the perfect squares to see how I would estimate $\sqrt{59}$ . The $\sqrt{59}$ is closest to $\sqrt{64}=8$. Answer: \boxed{49, 64, square, 8}.
Look at the steps for solving the equation and choose a true statement. 3x − 9x + 1 = 2 (−3x + 1) − 1
−6x + 1 = −6x + 2 − 1
−6x + 1 = −6x + 1
a. There are no solutions to the equation.
b. The only solution to the equation is 1.
c. The only solution to the equation is –6.
d. There is no way to know if there is a solution to this equation.
e. There are infinitely many solutions to the equation.