Algebra 3H MYP --- 3 Week Study Guide L1: Graphs of Absolute

Algebra 3H MYP --- 3 Week Study Guide
L1: Graphs of Absolute Value Equations
A = 4 pts
B = 3 pts
C = 2 pts
D = 1 pt
Given a word problem, I can write an absolute value equation or inequality, graph the function and use each to answer
additional questions.
I can graph an absolute value equation or inequality both by hand and using a calculator.
Given a graph, I can write the equation of an absolute value equation or inequality.
I can identify the vertex of an absolute value equation, including those represented in graphical form and as an equation.
1. Identify the parts of the equation.
Graph the function.
y=−
2. Write the equation of the function.
Identify the parts of the equation.
1
x−3 +2
2
3. A company’s guidelines call for
each can of soup produced not to vary
from its stated volume of 14.5 fluid
ounces by more than 0.08 ounces.
Write and solve an absolute value
inequality to describe acceptable can
volumes.
4. A school system is buying new computers. They will buy desktop computers costing $1000
per unit, and notebook computers costing $1200 per unit. The total cost of the computers
cannot exceed $80,000.
a. Write an inequality that describes this situation.
b. Graph the inequality.
c. If the school wants to buy 50 of the desktop computers and 25 of the notebook
computers, will they have enough money?
L2: Solve linear Inequalities including Absolute Value Inequalities
A = 4 pts
B = 3 pts
C = 2 pts
D = 1 pt
I can solve an absolute value inequality and write the correct solutions in interval notation and draw the solution on a
number line.
I can solve an absolute value inequality, and draw the correct solutions on a number line.
I can solve an absolute value inequality, providing two correct answers.
I can solve an absolute value inequality, providing one correct answer.
1. Solve.
1
3
2x − + 9 ≤ 22
3
4
2. Solve.
2
2
3x − ≤ 10
5
3
3. A certain scholarship and student loan fund uses a
formula to determine whether or not a student
qualifies for college funding. The formula is
3k + 6 > 15 where k is a need score determined by an
interview. What are the possible need scores?
L3: Write Equations of Graphs
A = 4 pts
B = 3 pts
C = 2 pts
D = 1 pt
I can graph data points, find a line of best fit and write the equation of that line with and without a calculator.
I can write the equation of a linear function in slope-intercept form, given one point and a line perpendicular.
I can write the equation of a linear function in slope-intercept form, given one point and a line parallel.
I can write the equation of a linear function in slope-intercept form, given two points.
1. Write the equation of the line passing through the given
points.
(12,5 ) and ( −4,1)
4. Make a scatter plot and draw a line of fit for the data.
2. Write the equation of the line.
3. Write the equation of the line.
Use the line of best fit to predict the amount of whole
milk consumed per person in 2010.