algebra 1, algebra 1 honors, and algebra 1b end-of-course ... · 2016-04-28 · the diagram below...

Algebra 1, Algebra 1 Honors, and Algebra 1B End-of-Course Exam Study Guide

2011-12 Study Guide of 12

1. If (x) = 2x – 1, what is the value of (3)?

2. Write an inequality for the graph below.

3. What function includes all of the ordered pairs in the table?

4. What is the slope of the line that passes through (-1, 1) and (2, -3)?

5. An airport taxi service uses the formula below to compute the cost of a trip,

where T is the total cost of the trip, and m is the time in minutes of the trip. There is also a $5 base charge.

T = 0.25m + 5

Using the formula, what is the total cost of a trip that lasts 40 minutes?

6. Which statement can be concluded from the diagram?

Ⓐ All real numbers are natural numbers.

Ⓑ All integers are natural numbers.

Ⓒ All integers are not real numbers.

Ⓓ All natural numbers are real numbers.

x 1 0 1 2 3

y 6 5 4 3 2



7. The diagram below shows the number of people in Sasha’s company who speak a foreign language. A total of 98 people can speak French, Spanish, OR German. What is the total number of people who can speak Spanish AND German?

Ⓐ 08

Ⓑ 10

Ⓒ 17

Ⓓ 18

8. Find the intersection and union of the two sets below.

Set A: All factors of 6

Set B: All factors of 18



9. The diagram below shows the number of students at Kerry Park Middle School

who play musical instruments.

How many students play in the orchestra? 10. What is the solution to the following inequality?

11. Leon has two test scores of 65 and 84. He wants to have an average of at least 80.

Which expression represents the score that he needs on his next test to have an average of at least 80?

12. One equation in a system of equations is . The solution to the

system is (4, 1). Which of the following could be the other equation?

Ⓐ Ⓒ

Ⓑ Ⓓ

13. What is the solution to the equation 3(x + 4x) = 60?



14. What is the simplified form of the expression below?

√ √ √

15. Aisha has a room that measures y8 by y2 to create a play space for her daycare.

What is the area of this room?

16. What is the simplified form of

?

17. What is the product of (5x-3y2) (-4x8y) ?

18. Nick marked off a rectangular-shaped area for a pool. The length of the area was x – 1 and the width was 7x + 3. What is the area of the rectangle?

19. Simplify 2x (x – 2) + 3(x + 3).

20. Solve the equation 2a + 5b = 18 for b.

21. Solve the equation below for b.

( )



22. Solve for a.

23. What is the simplified form of ( )( ) ( ) ?

24. What is the simplified form of

?

25. Solve for x.

( )

( )

26. What are the solutions to the equation ?

27. What is the factored form of the trinomial ?

28. Solve for x.

29. Which is the simplified form of the expression below?



30. Solve the equation below.

31. A bank charges a fee of $10 and a $0.25 per check fee c each month. Write the

equation representing the service charge S at the end of the month.

32. The senior class at Marion High School is ordering shirts from a company.

The company charges $7.25 per shirt and a one-time fee of $48. If the senior class

has budgeted $5000 for the shirts, what is the greatest number of shirts they

can order?

33. Joyce baked a chocolate cake and then a lemon cake. The chocolate cake took

16 minutes longer to bake than the lemon cake. It took 96 minutes total to bake

both cakes. How long did it take to bake the lemon cake?



34. Which of the following is the graph of – ?

Ⓐ

Ⓒ

Ⓑ

Ⓓ



35. Which region is the solution of the system ?

36. What is the equation of the line that passes through (2, 7) and (-2, 3)? 37. Write an equations of the line that passes through the point (-1, 3) and is parallel to

the line .

38. What is the equation of a line with a slope of

that goes through (2, -5)?



39. What is the slope of the line shown below?

40. What is the slope and y-intercept of ?

41. Graph the equation

.



42. Write an equation of the line that passes through the point (5, 1) and is

perpendicular to the line .

43. Graph the equation ?

44. Given: = {16, 29, 42} = {16, 25, 31, 42}

What is the set ⋃ ?

45. Given: V = {12, 14, 18} W = {12, 13, 17, 18} X = {12, 13, 14, 15, 16, 19} Which set represents ( ⋂ )⋂ ?



46. The owner of a coffee shop recorded the number of pots of coffee, p, made and the number of cups of coffee, c, sold during a five-hour period. Her results are shown in the table below.

Time Pots of Coffee, p Cups of Coffee, c

5:00 am – 5:59 am 2 8

6:00 am – 6:59 am 3 12

7:00 am – 7:59 am 4 16

8:00 am – 8:59 am 5 20

9:00 am – 10:00 am 7 24

Which equation describes the relationship between the number of pots of coffee, p, and the number of cups of coffee, c?

47. What is the domain of the points on the coordinate grid below?

48. The table below shows a set of values for x and y. Which equation best

represents this set of data?

x 2 1 1 3 4

y 1 2 4 6 7



49. What is the solution to the equation 3x + 2 = 8?

50. Is the following relation a function? Why or why not?

51. What is the domain of the function shown below?

algebra 1, algebra 1 honors, and algebra 1b end-of-course ... · 2016-04-28 · the diagram below...

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