algebrai•mp2q2testfeb5 …
TRANSCRIPT
ALGEBRA I • MP2 Q2 TEST FEB 5th • LAST TEST OF MP2 • REVIEW QUESTIONS/TOPICS: The MP2 Quarterly Assessment will be graded as the last test for the second marking period. This district exam will be given purely online and will not be eligible for a retake. USE EXTRA PAPER TO SOLVE.
1. Match each system of inequalities to the correct graph. A. y > 2 + !
!x B. y > 2 + !
!x
y < -‐x – 3 y < -‐x – 3
C. y > 2 + !!x D. y > 2 + !
!x
y < -‐x – 3 y < -‐x -‐ 3
2. Write an inequality for each situation. A. The owner of a new restaurant is designing a new floor plan. His goal is to have a seating
capacity of at least 500 customers. The small tables can seat 2 customers and the large tables can seat 8 customers.
B. Ms. English is making treats for a tea party later this week, and she has up to 7 eggs allocated to use for making miniature sweets. A batch of mini scones requires 3 eggs and a batch of mini tarts requires 2 eggs.
C. Craig, the band director for Silvergrove High School marching band, is buying instruments to expand the brass section. A tuba costs $1,000 each and a trumpet costs $520 each. Craig must keep the purchases below $6,100.
3. Solve each equation for h.
A. V =lwh B. P = 2(l + h) C. A = ½ (b1 + b2) h D. Solve for (isolate) y in the following: L = !!! !
!"
4. Solve for a value of x so that f(x) = g(x) A. f(x) = 2(x + 1) – 3x B. f(x) = 2x + 3 C. f(x) = -‐5x -‐ 3 g(x) = -‐5 g(x) = 8x g(x) = -‐9x + 1
5. Perform the indicated operation.
A. (3x4 – 2x2 + 3x + 1) + (x3 – 2x2 + x – 5) B. (2x3 – 7x + 11) – (4x3 + x – 4) C. (−2𝑥! − 8𝑥! + 9𝑥! − 1) – (7𝑥! + 12𝑥! − 3𝑥 − 6)
6. Madison is taking part in a walkathon. The graph shows how much money she has raised after each mile she completes. A. How much money has Madison raised
After walking 4 miles?
B. How many miles does Madison have to walk if she wants to raise $12?
C. Find the rate of change.
7. Justify each step shown to solving the equation 2(x+4) = -‐7
8. Solve each inequality. A. 3 – !
!x > 7 B. 3 -‐ 2(x – 2) < -‐5x + 1 C. !
!3𝑥 − 2 < !
!(4− 𝑥) D. 8 + 8z -‐ 2(2z + 4) > -‐3z + 2
9. Circle the relationships that are functions.
10. Match the function with its domain.
A. B. C. D. E. `
{x = all Real Numbers}: __________________ {x = 1}: ____________________________________
{ -‐5 < x< 7}: _______________________________ { -‐2< x < 2}: _______________________________
11. Joe runs every day after school. He is training for the upcoming soccer season. The function f(x) =
25 -‐ 4x represents the distance, in miles, that Joe runs in relation to his house. A. How far is Joe from his house after running for an hour and a half? B. Find f(3). Interpret your answer in terms of what it means about Joe.
12. Ally babysits on the weekends to make enough money to pay her cell phone bill. She charges her
clients a $20 initial fee and then $10 for each whole or partial hour she is at their house. A. Write an equation to show the amount of money Ally charges in total, y, after babysitting for x
hours. B. Use your equation to find out how much money Ally will make for babysitting 3!
! hours.
C. Could Ally ever make $75 exactly for babysitting one of her clients? Explain your reasoning.
13. Write each equation in standard form. A. y = 3x – 5 B. y = ½ x + 4 C. A taxi charges an initial fee of $2.50 plus $1.50 each mile. 14. Find the solution when f(x) = g(x). f(x) = 15x + 6 g(x) = 3x + 2 15. You have 3 inches of snow on the ground already from the weekend. It has started snowing again at 0.25 inches per hour. Write an equation to model this situation. 16. A dog sitter charges $16 plus $21 per hour, or any part of that hour. The amount of the bill is a function of the hours worked, f(x) = 16 + 21x. a. Find the cost of the bill if the dog sitter works for 9 hours. b. Is it possible to have a bill of $375? 17. Solve the following equation. Show all work and justify each step in the work with a mathematical reason. !
! (x -‐ 3) = !
! (x + 6) -‐ 12
18. A pool club charges a $55 joining fee. Every month you must pay $17. Which inequality can be used to find the number of times you can go to the pool club for $259. a. 55 + 17x < 259 b. 55 + 17x ≤ 259 c. 55 + 17x ≥ 259 d. 55 + 17x > 259 19. Find the rate of change. A. ________________ B. ________________ C. _____________
20. Use the graphs from above to answer the following questions.
A. Graph A from above show how tall Gustavo’s plant is. • How tall was the plant when Gustavo got the plant? __________ • Approximate the height of the plant after a month (30 days). __________
B. Graph B from above shows the height of an amusement park ride.
• How far does the ride travel in 8 seconds? ______________ • How far does the ride go in 1 second? _____________
C. Graph C from above shows the relationship of the temperature and the altitude.
• At what altitude would it be 0o Celsius? ______________
Khan Academy Topics/Missions to review on your own for additional practice J
Khan Academy Review Topics #1. Graphing Linear Inequalities in Two Variables #2. Interpreting and Solving Linear Inequalities #3. Solving Equations in terms of a Variable #4. Equations with Variables on both sides #5. Adding and Subtracting Polynomials #6. Ordered Pair Solutions to Linear Equations #7. Understanding the Process for Solving Linear Equations #8. Multi-‐step linear inequalities #9. Recognizing Functions #10. Domain and Range from a graph #11. Understanding function notation #12. Testing Solutions of equations and inequalities word problems #13. Identifying Slope of a Line #14. Interpreting Linear Relationships #15. Converting between slope intercept and standard form