What is the value of the expression below when r = 4 and t = 6



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Algebra I CP Midterm Review Packet

Show all work for each question. Be prepared to answer these questions without a calculator!

1. What is the value of the expression below when r = 3 and t = 5?

[pic]

2. Which expression is equivalent to the following expression?

2×2×2×2×2

3. What is the solution to the following inequality?

[pic]

4. In one school, 40 freshmen students scored at the proficient level on the state literacy test. This number represents 15% of the class. How many students in this school are in the freshman class?

5. The following equation defines a function of x.

f (x) = −3x + 5

If (3, n) is an element of the function, what is the value of n?

6. What is the difference of the two matrices?

[pic]

7. The entrance to the gold mine in which John works is at an elevation of 8,000 feet above sea level. The mine is 5,000 feet deep. At what elevation is John standing when he works at the bottom of the mine?

8. Write an expression that is undefined when x = 3.

9. Manny created a computer program that randomly generates a letter from the word “California” What is the probability that the computer program will generate a letter that only appears once in the word?

10. What is the solution to the following equation?

[pic]

11. What value of m satisfies the equation shown below?

[pic]

12. In which table does y not vary directly as x ?

A. [pic] B. [pic]

C. [pic] D. [pic]

13. The value of a car is $15,000 when new, and its value decreases $2,000 per year. Create a line graph that shows the value of the car for the first 4 years?

14. George had 5 days to drive 2,500 miles. On the first day, he drove 800 miles. How many miles per day does George need to drive to complete his trip?

15. Abby Dewey, Sally Smith, and Lisa Howe manage three different used-car lots. The inventory of each brand of truck, van, and car is shown in the matrices below.

[pic]

If they combined their businesses, how many trucks would they have altogether?

16. Write an algebraic expression for the phrase “10 more than 5 times a number.”

17. What is the slope of the line represented by the equation y = 4x – 20?

18. Label each line on the graph below as having either a) a positive slope b) a negative slope c) a slope of 0 or d) undefined.

[pic]

19. When the equation y = 9x + 2 is changed to y = –9x + 2, what effect does this change have on its graph?

20. The points in the table lie on the graph of a linear function.

|x |1 |2 |3 |4 |5 |

|y |1 |4 |7 |10 |13 |

Which could be the function?

A. [pic]

B. [pic]

C. [pic]

D. [pic]

Short Constructed Responses (1 point each). Place all answers in the space provided.

1. If f (x) = 2x2 +4x−3, what is f (0)?

2. Translate in words the equation 3x + 12 = 15.

3. Which is the correct domain (d) and range (r) for the table below?

|x |y |

|-3 |5 |

|-6 |10 |

|-9 |15 |

4. Hannah works four days a week as a waitress and as a nanny. The hours she works each day are shown.

[pic]

Once school ends, she wants to double all her hours. Write the matrix representing the new work schedule.

5. An integer between 1 and 20, all inclusive, is selected at random. What is the probability that the integer selected is a multiple of 4?

6. The expression 15 + 1.15p represents the total cost of buying one extra-large sub sandwich for $15.00 and drinks for $1.15 per person (p).

What is the range, in dollars, for the total cost for up to 4 people, depending on the number of drinks purchased?

7. The formula to find a man’s shoe size is s = 3f – 24, where s = shoe size, and f = foot length in inches. If a man’s shoe size is 13, what is the length of his foot?

8. If y increases proportionally with x, and y = 30 when x = 15, what is the value of x when y = 90?

9. Find the slope of the line that goes through (−4,−8) and (4,−6).

10. Graph the solution set of the inequality. [pic]

Extended Constructed Responses. Show all work in the space provided.

1. A charity organization gets 2 pledges for every 16 people it calls.

A. Write a proportion of pledges per people called, where x is the number of pledges, and y is the number of people called.

B. If the organization calls 600 people in one month, how many pledges does it receive? Show your work and/or explain your answer.

C. If the monthly goal is 150 pledges, how many calls will the organization have to make? Show your work and/or explain your answer.

BE SURE TO LABEL YOUR RESPONSES A, B, AND C.

PART 2

Multiple Choice Questions (1 point each). Place all answers on the scantron provided.

21. To find the answer to a math problem, Sid performed the steps below.

• First, he added 100 and 10.

• He took that answer and divided by 10.

• He then subtracted 5.

• Finally, he added 7.

His answer, which was correct, was 8. Write a problem that shows what he did.

22. Draw a graph that demonstrates a linear relationship between velocity and time?

23. Write an inequality that represents the statement below?

The product of a number and 4, decreased by 7, is greater than or equal to 12.

24. The bar graph below shows Arkansas’s harvested acres of soybeans from 1997–2003.

[pic]

Based on the bar graph, what were the estimated harvested acres, per 1,000, for the state of Arkansas in the year 2003?

25. Alvin and Ben compared the weights of the members of each of their respective teams in their Physical Education class.

[pic]

What is the difference in the median weights of the two teams?

26. Jan’s family rented a boat at Lake Ouachita. They paid a rental fee of $30 plus $12 per hour. Draw a graph that shows the total amount the family paid, as a function of time?

27. The formula for finding the perimeter of a rectangle is P = 2l + 2w. Solve for w in terms of l and P?

28. Which graph does not represent a function of x?

A. B.

[pic] [pic]

C. D.

[pic] [pic]

29. Jordan has 3 paint colors in stock for painting houses. He keeps a record of his paint supply by the color and size of the paint can. The matrix below indicates his current paint supply.

[pic]

He needs to decrease his entire paint supply by 25%. Which matrix represents Jordan’s decreased paint supply?

[pic] [pic]

[pic] [pic]C

30. Does the table represent a function?

|Price |Sales Tax |

|(dollars) |(dollars) |

|1 |0.07 |

|2 |0.14 |

|3 |0.21 |

|4 |0.28 |

|5 |0.35 |

A

31. In a school auditorium, each row has 4 more seats than the previous row. If the first row has 6 seats, how many seats will the first 10 rows have altogether?

32. Jerri wrote these steps when solving an equation. Give the property used in each step.

[pic]

Step 1: [pic]

Step 2: [pic]

Step 3: [pic]

Step 4: [pic]

33. What is the value of n in the equation below?

[pic]

34. Dexter has a bag that contains 12 blue marbles, 12 green marbles, and 6 yellow marbles. He randomly chooses a marble, which is blue. Without putting the blue marble back, Dexter would like for the next marble that he chooses to be yellow. What is the probability that the next marble he randomly chooses will be yellow?

35. To train for a bicycle road race, Enrique needs to ride 150 miles per week at an average rate of 25 miles per day. The equation [pic] gives the number of miles, M, left to ride after d days. Graph the number M of miles Enrique has left to ride after d days?

36. Tamika’s savings account earned $90.00 in interest. This amount is 1.5% of her total savings. What was Tamika’s original savings?

37. Based on the graph below, what would the overdue charge be for 20 days?

[pic]

38. Describe the change to the graph of y = 2x + b as b changes from 0 to 15?

39. The depth of a lake, d, varies directly with r, the amount of rainfall last month. If k is the constant of variation, write an equation represents the situation?

40. Write a linear equation that describes the line on the graph below?

[pic]

Short Constructed Responses (1 point each). Place all answers in the space provided.

11. Maria buys some CDs at Track One Records. Each CD costs $15. Which expression would find the price of n CDs?

12. Maurice received $100 from relatives for graduation. He wants to buy a new pair of jeans for $65 and 3 DVDs. He uses the expression 3d + 65 ≤ 100 to determine the amount of money that he can spend on each DVD. Graph the solution set of this inequality.

13. Ben’s favorite pastime is bowling. Last season he had an average score of 162. In his first 2 games this season, he scored 140 and 145.

What must his score be in game 3 to have an average of 165?

14. It is 225 miles from Little Rock, Arkansas, to Gentry, Arkansas. Tyra’s car averages 27.2 miles per gallon. What is the minimum whole number of gallons of gas Tyra will need to drive from Little Rock to Gentry?

15. Jason measured the length of an eraser (y) and found it was 4 inches less than 2/5 of the length of the pencil (x). Which equation represents this relationship?

16. At his job, Andre earns $8.00 an hour plus a commission of 12% of his total sales. If h represents the number of hours worked, and s represents the total sales, which expression shows Andre’s total earnings?

17. Nancy scored 76, 82, and 78 on her first 3 algebra tests. If she wants her mean score for the first 4 tests to be at least 85, what is the minimum she must score on the next test?

18. What is the Range of an ordered pair on the graph below?

[pic]

19. What is 3A + 2B given the matrices below?

[pic]

20. A 9 ft. wall has a pole leaning against it. The base of the pole is 12 ft. from the base of the wall. How long is the pole?

Extended Constructed Responses (4 points each). Show all work in the space provided.

2. Ten students were asked to estimate the number of minutes they spent studying for the last chapter test.

The table below shows the data.

|Survey of Ten Students in an Algebra I Class |

|Time Spent | |

|Studying |12 |

|(minutes) | |

|0 | |

|1 | |

|2 | |

|3 | |

A. On the grid provided in your answer document, graph the coordinates from the table. Does the graph show a function or non-function relationship? Explain your answer.

BE SURE TO LABEL YOUR RESPONSES A, AND B.

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