Poudre School District
Algebra 2
Unit 1 Review Name____________________________________________ Pd: ________
Use the following functions F,G,H in #1-3 to find each value.
[pic] [pic] [pic]
1. [pic] 2. [pic] 3. [pic]
Use using… , or = to compare the functions F,G,H in #4-6.
4. [pic] ______ [pic] 5. [pic] _______ [pic] 6. [pic] ______ [pic]
Evaluate the following functions.
7. [pic] for f(-4) and f(x) = 12 8. [pic] for g(-5) and g(x) = 136
f(-4) = ________, f(x) = 12, x = ________ g(-5) = _________, g(x) = 136, x = ________
Use the graph to answer 9--13.
9. [pic]__________
10. [pic]
11. [pic]
12. [pic]________________
13. Compare using , or =
a. [pic] ________ [pic] b. [pic] _________[pic]
14. Describe each transformation that happens to [pic]
a. [pic] b. [pic] c. [pic]
On questions 15-17…
Write a function g whose graph represents the indicated transformation of the graph of f.
15. [pic]translated 5 units down
16. [pic] with a vertical stretch by a factor of 3
17. [pic] with a reflection over the x-axis, a shrink of [pic] followed by a translation 3 up
For Problem 18, graph the parent absolute value function.
On problems 19-21, describe the transformation. Then, graph it.
18. [pic] 19. [pic] Description:
________________________
20. [pic] Description: 21. [pic] Description:
____________________________ ____________________________
22. Given the graph below…Write an equation of the line
Identify what the slope and y-intercept represent in context of the problem.
23. A child’s weight depends on their age.
When Susie was 1, she weighed 20 lbs. At 4 years old, she weighs 35 lbs. Hint: (1,20) and (4,35)
a. Write an equation of the line in BOTH slope intercept form AND point slope form.
b. What does the slope mean in context of this problem?
c. What does the y-intercept mean in context of this problem?
24. Graph each line.
a. 3x + 4y = 12 b. [pic] c. [pic] d. g(x) = 3
25. The table shows the number of concert tickets sold based on the number of days that have passed by since the box office opened…
|Days (x) |3 |7 |11 |14 |
|# Tickets Sold (y) |76 |164 |252 |318 |
a. Use your calculator to find the Linear Regression Formula.
b. What is the correlation coefficient? What does it suggest about our data?
c. Predict the number of tickets sold after 20 days.
26. The table shows the average life expectancy of a person born in the U.S. in the years after 1920.
|Birth year (in years since 1920)|0 |10 |20 |
|4 |4 |6 |21.00 |
|3 |2 |10 |20.88 |
|2 |3 |4 |13.17 |
Equation #1: _____________________________
Equation #2: _____________________________
Equation #3: _____________________________
32. Monica has $1, $5, and $10 bills in her wallet that are worth $96. If she had one more $1 bill, she would have just as many $1 bills as $5 and $10 bills combined. She has 23 bills total. Using a system of equations, how many of each denomination (type of bill) does she have?
33. Mrs. Smith is shopping in a super market and she has a budget of $86 to spend on $5 cakes, $1 eggs, $18 pizzas. She wants to buy 20 items for the coming week and must buy as many eggs as cakes and pizzas combined. Using a system of equations, find out HOW MANY OF EACH ITEM CAN SHE BUY?
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Parent Function Table and Graph
[pic]
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