Warmup 1 Pick up a new warmup handout

Warm-up #1 • Pick up a new warm-up handout True or False - The slope of a vertical line is 0. - The slope of a rising line is positive. - A direct variation graph never touches the x or y axes.

Linear Equations and Inequalities in two variables MATH 7/8 Unit Review

Question #1 • Explain how to find slope from a table of values.

Question #2 • If you are given a table of values of x and y, how can you tell if the relationship is a representation of a direct proportion, inverse proportion, or neither?

Question #3 • How do you know whether to shade above or below the line when graphing an inequality on the coordinate plane?

Question #4 • Graph the inequality y>-2 x+1

Question #5 • Find the slope given the points (5, -9) and (-4, 3)

Question #6 • Write the equation 8 x-4 y=16 in slope intercept form.

Question #7 • Write an equation in slope intercept form from the following arithmetic sequence: -2, 1, 4, 7, …

Question #8 • The Georgia lottery has $20, 000 to award recipients. It gives the recipients the same amount of money. How would you decide how much money each recipient receives? Is this an example of a direct or inverse proportion?

Question #9 • Students read the first 40 pages of a book in class. The student can read no more than 12 pages in a book each night. Graph the relationship between the number of pages the student can read and the number of days. At this rate, would the student be able to read the 550 page book in 42 days?

Question #9 cont…

Question #10 • The variables x and y vary inversely when y=15 and x=6. Write an equation that relates x and y, then find the value of y when x=18.

Question #11 • The variables x and y vary directly when y=16 and x=4. Write an equation that relates x and y, then find the value of y when x=2.

Question #12 • What does the graph of an inverse proportion look like?

Question #13 • What does the graph of a direct proportion look like?

Question #14 • What is the slope of the graph of the linear function given by this pattern? 3, 1, -3, …

Question #15 • What is the equation of the line in slope intercept form if the line passes through (1, 6) and (-1, -2)?

Question #16 • What is the slope of the line that passes through (7, -7) and (12, -7)?

Question #17 • A limo company charges $35 and $2 per mile. Write an equation that shows the total cost for x number of miles.

Question #18 • If you graph the line x=-6, what type of slope would it have?

Question #19 • What is the graph of the solution set of y>-2 x-2?

Question #20 • Janie wants to make a scatter plot comparing the life expectancy (vertical axis) and the number of cigarettes smoked (horizontal axis). What type of slope would Janie expect to find in her scatter plot?

Question #21 • What is the equation of this line?

Question #22 • Find the slope of the line -10 x – 5 y = 0

Question #23 • Find the y-intercept of the line y=-14 x

Question #24 • When graphing a linear inequality, how do you know whether to use a solid line or a dashed line? • What is the significance of this?

Question #25 • What else do you need help with for your test tomorrow?