9.2.2 Review & Preview

9-59 Solve the inequalities below for the given variables. Represent your solutions on a number line. 9-59 HW eTool (CPM)

a. 3(2k-1)<9

9-59 Solve the inequalities below for the given variables. Represent your solutions on a number line. 9-59 HW eTool (CPM)

b. \frac{2p}{5}\le6

9-59 Solve the inequalities below for the given variables. Represent your solutions on a number line. 9-59 HW eTool (CPM)

c. -2+8n>2

9-59 Solve the inequalities below for the given variables. Represent your solutions on a number line. 9-59 HW eTool (CPM)

d. 7t-4>2t-4

9-60 Brett is working in the chemistry lab trying to determine if he can predict the volume of three different gases (nitrogen, oxygen, and carbon dioxide) based upon the pressure applied to them. He kept all other characteristics of the gases constant. Brett performed the following analysis:

📷 9-60 Graph

📷 9-60 Residuals

Use your CPM ebook to view the table

Answer the following questions:

a. Discuss the association, including slope and R-squared.

b. What is the residual with the greatest magnitude and what point does it belong to?

c. Using the LSRL model, estimate the volume of a gas at 2.5,4.5, and 6.5 atmospheres. Use an appropriate precision.

d. How well would this linear model work in predicting more extreme pressures? Support your answer.

9-61 Use your graphing shortcuts to graph y=−2x+3. Identify the x- and y-intercepts. 9-61 HW eTool (Desmos). Put your intercepts on the show your work.

9-62 Find the equation of the line with slope −35 passing through the point (−6,2).

9-63 Solve the quadratic equation 3x^2+2.5x=12.5. Check your solutions with a calculator.

9-64 Factor the expressions below completely, if possible.

a. 4x^2-\ 20x+25

9-64 Factor the expressions below completely, if possible.

b. x^2+11x-2

9-64 Factor the expressions below completely, if possible.

c. 3x^2-12x

9-64 Factor the expressions below completely, if possible.

d. 10x^2-35x-20