Homework for 30 November

Chapter 4.6

#1-11 odd
19-33 odd

period 4 will have their chapter 4 test next Thursday

Homework for 28 november

Chapter 4.5

#1a, 2-9, 11, 13-17, 19-22

Homework for 22 november

Chapter 4.4

#1-12
18-25

Homework for 18/21 november

Chapter 4.3

# 1-13, 16-19

Homework for 16/17 november

Chapter 4.1

# 1, 2, 4, 5-8

Chapter 4.2

#1-17 odd
17-23
25-35 odd

Chapter 3 review

Algebra 1 Chapter 3 Review

Topics: Direct variation, rates, rate conversion, slope of a line, slope-intercept equation for a line, line-of-fit.

Use: Memorize and know how to use each formula: y = mx+b m = (y2-y1)/(x2-x1)

-- Know how to graph a line from an equation by making a table of x and y values (and which way they go on the graph).
-- Know the point-slope equation for a line (y = mx + b), as well what m and b mean and how to find them from a graph or from a pair of points.
-- Know how to find the slope of the line between two pairs of points
-- Know the meaning of positive and negative slope, as well as the exceptional cases where m = 0 (y = something) and m is undefined (x = something).
-- Know how to figure out a rate given two quantities (miles and gallons, or miles and hours), and how to use a rate to figure out new information:
-- Know how to use the Q1 and Q3 values for a set of data to draw a line-of-fit and then know how to figure out the slope and y-intercept for that line.
--Know how to recognize direct variation, both from a graph and from an equation.

Practice:
1) Graph each set of points and use a slope-triangle to find the slope of the line passing through the set of points:
a) (2, 3) and (12, 4) b) (-3, 4) and (-8, -6) c) (7, 5) and (8, 4)
d) (-2, 2) and (-2, 6) e) (-2, 2) and (2, -2) f) (6, 9) and (4, 9)

2) For each of the sets of points above, use the slope formula to figure out the slope of the line passing through the set of points.

3) Write an equation for each line with the following conditions:
a) An undefined slope going through (1, 3) b) m = -4, passing through (-3, 6)
c) m = 4 passing through (-3, 6) d) m = 0 passing through (-3, 6)
e) m = passing through (3, 4) f) m = passing through (-6, 0)

4) a) If gas is $2.86/gallon, how much do you pay for 12 gallons?
b) How many gallons can you buy for $1?
c) If I travel for 400 miles on 14 gallons, what is my rate (miles per gallon)?
d) How far could I go at that rate if I had 8 more gallons?

5) The speed of light is roughly 300,000,000 meters per second.
a) How fast is that in miles per hour? b) It takes 8 minutes for light from the sun to reach the earth. How far is the sun from the earth?

6) Decide whether the data in the table show direct variation. If they do, give the constant of variation and write an equation that describes the situation.
circumference (cm) radius (cm)
12.56 2
31.4 5
43.96 7
62.8 10






7) Take each equation and
a) make a table of values for the equation (use at least 3 pairs)
b) plot each value and connect them to make a straight line
c) find the slope of each equation
d) find the y-intercept of each equation

y = 2x - 5
y = -x + 3
y = -3/4 x + 2
y = x
x = 3
y = .25x + 1
y - 2 = 6x
y = -2/7 x + 4

Homework for 7/8 november

Chapter 3.6

#1, 2, 4-6

Handout on Lines of fit

Chapter 3 test on Monday (Blue day) / Tuesday (Gold day)

Instructions on how to plot a "line-of-fit" for a given set of data.

a) Plot the data on a graph.
b) Find the five-number summaries for the x-values and the y-values.
c) Graph the first-quartile and third-quartile values for x and y as dashed lines (vertical for x, horizontal for y). These will make a rectangle. The vertices of this rectangle are the Q-points.
d) Draw the diagonal of this rectangle that shows the direction of the data. Extend the diagonal through the plot. This is your line of best fit.
e) Find the coordinates of the two Q-points the line goes through, and calculate the slope of the line.
f) Find the y-intercept of the line, and write the equation of the line.

Homework for 3/4 november

Chapter 3.5

#1-9, 11-21

Homework for 1/2 november

We have a handout on slope.

There will be a quiz on slope and rates on Friday (period 8) and Monday (period 1).

The first page looks like this:

Algebra Slope and Equations of lines

1) Graph each pair of points. Draw the line segment between them, and the slope triangle (up and over). Find the slope of the line between these two pairs of points:

a) A (-1, 3) and B (-4, 5) b) C (2, 6) and D (6, -2)

c) E (-2, -2) and F (3, 4) d) G (0, -3) and H (8, -1)

2) Find the slope of the line between each two pair of points:

a) (-10, -10) and (-8, 2) b) (2, 5) and (8, -1) c) (4, 0) and (-1, 0)

d) (-4, 9) and (-8, 3) e) (7, 0) and (7, 5) f) (1, -3) and (10, 3)

g) (-3, a) and (3, 2) h) (2, 12) and (p, q) i) (4, 2) and (2, 4)

3) On a graph, draw 3 lines that a) go through the point (0, 0) and b) have a slope between 0 and 1. Make sure each goes through at least one easily known point. Then find the slope of each of your lines, and the equation of each.