Name:__________________ Date:_________________ Algebra, Period___________

Algebra 1 Fall Final Exam Review Packet 3

Directions: Show all necessary work. Put your answer in the blank provided. _____1. Which equation describes the data in the table?

A. y = -x – 2 B. y = x - 3

C. y = -x + 2 D. y = x + 3 E. y = x + 12

_____2. Write a linear function that fits the data in the table.

X 0 2 4 6 Y -13 -6 1 8

A. y = 7x – 13 B. y = !!"!

x – 13

C. y = -6x – 13 D. y = !!x – 13 E. y =

!!!

x – 13

_____3. Which equation best describes the graph shown?

A. y = !!!

x – 1

B. y = !!x + 1

C. y = 4x – 1

D. y = !!!

x + 1

E. y = -4x + 1 _____4. Which equation describes the graph shown? A. 6x + y = – 1 B. 6x – y= -1 C. x + y = 6 D. x – y = -6 E. x – y = 6

X Y

-5 7

-2 4

1 1

4 -2

_____5. Which equation below describes the line passing through the points (3, -2) and (5, 4) A. y = 3x – 7 B. y = 3x – 11 C. y = -3x + 19 D. y = 3x – 5 E. y = -3x – 11

_____6. Which equation below describes the line passing through the point (-5, -3) with a slope of !!?

A. y = x B. y = !!!

x + 4 C. y = !!x –

!!

D. y = !!x + 1 E. y =

!!x – 2

7. Write a system of inequalities that defines the shaded region.? _____8. Which equation represents a line with a slope of -2 and a y-intercept of 5? A. x + 2y = 5 B. 2x + y = 5 C. 2x – y = 5 D. x – 2y = 5 E. x – 2y = 10

_____9. On the second day of her vacation trip, Alice is already 450 miles from home. She plans to drive further away from her home at a rate of 65 miles per hour. Which equation describes her distance, y, from home after x hours on the second day of her trip?

A. y = (x + 65) + 450 B. y = 65x + 450 C. y = 2x + 65 D. y = 2(x + 65) + 450 E. y = 65x – 450

_________________________

_____10. A thunderstorm is 180 miles away from Sara’s house. It is moving toward her house at a rate of 15 miles per hour. Which equation relates the distance in miles, y, the storm is from Sara’s house after x hours? A. y = 15x – 180 B. y = (180 – 15)x C. y = 180x – 15 D. y = 180 + 15x E. y = 180 – 15x 11. What is the x-intercept and y-intercept of the function described by the graph below?

_____12. A rental car costs $150 a week, plus $0.10 per mile. Which equation represents the relationship between the number of miles, x, and the total cost in dollars, y, for a 2-week rental? A. y = 150 + 2(0.10x) B. y = 2(150) + 0.10x C. y = 2(150)(0.10x) D. y = 2(150 + 0.10x) E. y = 150/2 + 0.10x _____13. Renee earns a salary of $220 per week. She also receives a 1.5% bonus on her total sales, x. Which equation can be used to find Renee’s total earnings, e, for 1 week? A. e = (x – 220) + 1.5 B. e = 220 – 0.015x C. e = 220 + 1.5x D. e = (220 + 0.015)x E. e = 220 + 0.015x 14. Write the slope intercept form of the linear equation that passes through the point (-2,5) and is parallel to the graph of y = -4x + 2. ___________________________

x-intercept_____________

y-intercept______________

_____15. The cost, c, of parking a car in a lot in downtown San Antonio is given by the formula: c = 0.75h + 1.50 where h is the number of hours parked. If Sara paid $3.75 for parking in a lot downtown, how long was she parked?

A. 1.5 hr. B. 3 hr. C. 2.25 hr. D. 5 hr. E. 7 hr.

16. ABC Rentals charges $26 per day, plus &0.20 per mile to rent a car. XYZ Rentals charges $11 per day, plus $0.35 per mile to rent a car. If a car is rented for one day, how many miles must it be driven so that the cost of renting the car from ABC Rentals will equal the cost of renting the car from XYZ Rentals? Record your answer in the boxes, and then fill in the bubbles.

17. Write the slope intercept form of the linear equation that passes through the point (0,1) and is perpendicular to the graph of y = -1/3 x + 2. ___________________________

18. Write the system of inequalities represented in the graph.

___________________________ ___________________________

Simplify the following. 19. (x2y3)4 _____________________ 20. (-4b3c)2 _____________________

21. (2x2)(3x)(5x4) _____________________ 22. 3 5

5 2

153x yx y−

______________________

23. 25x5y−6

75x−2 y8___________________________ 24.

2 3 2

3 2

(4 ) ( )8

x y z xyzx y z−

_________________

25. 26. Graph each system of inequalities

𝑥 + 𝑦 ≤ 5 𝑥 < 5

𝑦 ≥ 2𝑥 − 3 𝑦 < 𝑥 + 3.