Alg 1	Night School	Name: ____________________________

____________ ____________

WS Assessment

Target 5:

FORMS OF LINEAR

I can :

Convert among the linear 's form and graph piecewise line.

Standard: A2. Linear Functions
● A2a. I can model a linear function (in a table, graph, rule & situation).
● A2b. I can determine the equation of a line.

Forms of linear equation

Slope formula

Point-Slope form	y = m(x – x1) + y1

Slope-Intercept form	y = mx + b

Standard form	ax + by = c	(a must be positive)

1. Find the slope of the line containing each pair of points below

(4, 4) and (5, 7)	(5, 2) and (9, 4)	(1, -3) and (-4, 7)

2. Write the point-slope form y = m(x – x1) + y1 then convert it to slope intercept form y = mx + b for the following

a. A line has slope = ¾ and passes through point (3, 2)

b. Slope = ½ and passing through (4, 3)

c. Slope = 2/3 and passing through (-3, -2)

d. Slope -4 and passing through (-3, 5)

3. Find the slope of the line goes thru two points then write its equations in 3 forms above

a. (4, 4) and (9, 5)	b. (1, -3) and (8, 4)

4. Write two other forms of the following

2x + 3y = 6	y = 3x + 5	y = ½ (x – 4) + 2

5. Now you fill in the liner form, then graph it accordingly

Standard ____x + ___y = ____	Slope-intercept y = ___ x + ___	Point-Slope y = __( x - __) + __

6. Mr. Wallis decided to create table to figure out how much it costs to send a certain number of regular letters through the mail. Help him to complete the table and write out the equations in three different forms

Linear function in piecewise format

1. Sketch a graph to match each story below using axes labeled as speed and time

Luis rides his skateboard at the same speed all the way home. It takes him ten minutes to get there.	Corinna jogs along at the same speed until she reaches a hill, and then she slows down until she finally stops to rest.	Sergei is talking with his friends at the donut shop when he realizes that it’s almost time for math class! He runs toward school, but slows to a walk when he hears the bell ring and realizes that he is already late.

2. Write the equation for each piece of the following graph

3. Draw the graph this piece wise function

4. Write the equation for this graph, graph it on calculator and show me for stamp ______________

5. You have a summer job that pays time and a half for overtime. (If you work more than 40 hours) After that it is 1.5 times your hourly rate of $7.00/hr.

a. Write and graph a piecewise function that gives your weekly pay P in terms of the number hours you work h. b. How much will you make if you work 45 hours?

6. Write and graph a piecewise function for the parking charges shown on the sign. Show me calculator for stamp

7. Southeast Electric charges .09 cents per kilowatt-hour for the first 200 kWh.The company charges .11 cents per kilowatt-hour for all electrical usage in excess of 200 kWh.

Write equation for this problem. How many kilowatt-hours were used if a monthly electric bill was $57.06? (Extra credit if solve by graph)

Assessment Target 5	Name:_______________________ Date: __________

I can… Convert among the linear 's form and graph piecewise line.

1. Convert to the other two forms

a. y = 3x + 7	b. 3x + 2y = 16

2. Given (2, 4) and slope of – 3, write the equation of the line in 3 different forms

3. Given (1, 6) and (2, 10) write the equation of the line in 3 different forms

4. A faucet dripping at a constant rate fills a test tube with 0.4 cm³ of water every minute. Form a table of values for time and capacity, determine the equation and represent it graphically.

5. A construction worker earned $17 per hour for the first 40 hr of work and $25.50 per hour for work in excess of 40 hr. One week she earned $896.75.

a. Write and graph the piecewise function for this data. Stamp _____________

b. How many hour does she work on this specific week. Show all work